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CURRENT AFFAIRS

 

Current Affairs

14th June 2020

(Test Yourself)

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1 / 20

Which of the following state recently launched ‘Bal Shramik Vidya Yojana’ to educate child labourers in the state?

2 / 20

Which institution has topped the overall list of educational institutions in the NIRF India Rankings 2020?

3 / 20

Who won the 2020 World Food Prize?

4 / 20

Which state has launched ‘Ghar ghar nigrani’ app to conduct house-to-house surveillance in the state to eliminate the COVID-19 pandemic?

5 / 20

Name the CSIR National Healthcare Supply Chain Portal which was launched by Ministry of Health and Family Welfare recently?

6 / 20

International Albinism Awareness Day (IAAD) was observed every year on June 13. What is the theme for IAAD 2020?

7 / 20

Anand Mohan Zutshi ‘Gulzar’ Dehlvi who passed away in June 2020 is a renowned poet in which language?

8 / 20

Vasant Raiji who is in news recently is associated with which sport?

9 / 20

Which organization has developed dry heat treatment chamber named “GermiKlean” to sanitize uniforms of security force?

10 / 20

Who heads the 5-member Internal working group formed by RBI to review ownership and control of Private banks?

11 / 20

Who becomes the 1st ever women to reach deepest point of ocean, the Challenger deep?

12 / 20

Imtaiyazur Rahman has been appointed as the CEO of which mutual fund?

13 / 20

Who was appointed as the brand ambassador of Bihar’s Khadi?

14 / 20

EXIM bank has provided line of credit (LOC) of $215.68 million to the Malawi for drinking water schemes & other development projects recently. Where is the HQ of EXIM bank located?

15 / 20

Name the flood warning system which was jointly launched by Uddhav Thackeray (Maharashtra CM) & Harsh Vardhan (Earth science minister) in Mumbai.

16 / 20

Name the Veteran Urdu poet who passed away recently. He was the editor of ‘Science ki Duniya’

17 / 20

International Albinism Awareness Day is observed on __________ every year

18 / 20

India football team retained its ________ spot in the latest FIFA rankings

19 / 20

Name the state, who recently launched “She Triumphs through Respect, Equality, and Empowerment” (STREE) to support and empower women victims of domestic violence and abuse.

20 / 20

The World Archery committee decided to postpone the 2020 World Archery Field Championships to which year?

Current Affairs section constitutes a major part of General Awareness section in a competitive examination and needs your serious preparation The questions which are asked in the exam are generally framed on National News, International News, State News, Sports, Awards, Summits, Schemes, Books & Authors, Ranks & Reports, Important Days, Economy, Defence, Science & Technology etc. To excel in this section of the competitive examinations you are required to cover the above areas. to help you We have come up with Current Affairs Quiz to support you in preparing for State and Central competitive exams like IBPS, SSC, Railway, UPSC, etc.

PRACTICE PAPERS

Indian Economy

 

KARTET / CTET

amk

Indian Economy

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1 / 30

Which country is the largest trading partner of India

2 / 30

The focus of the Second Five Year Plan was

3 / 30

The National Development Council was established in the year

4 / 30

The concept of five year plan was borrowed from

5 / 30

The first planning commission in India was formed in the year

6 / 30

Which Five-Year plan focussed on "growth with social justice and equity"

7 / 30

Which of the following will not come under the proposed GST in India?

8 / 30

Deficit financing means that the government borrows money from the

9 / 30

What is the mainstay of Indian economy?

10 / 30

The Economic Survey of India is published by

11 / 30

India's National income is measured with the help of

12 / 30

The one rupee note bears the signature of

13 / 30

SIDBI stands for

14 / 30

Which of the following is not correct statement?

15 / 30

At present, in which sector 100 per cent FDI is allowed in India?

16 / 30

Which of the following is also known as International Bank for Reconstruction and Development?

17 / 30

Who among the following presented the first budget (interim) of Independent India?

18 / 30

Who among the following presented Union Budget maximum number of times?

19 / 30

Union Budget of India is presented by whom and in which house/ houses of the Parliament?

20 / 30

The paper currency was first started in India

21 / 30

The National Bank for Agriculture and Rural Development(NABARD) was founded in

22 / 30

Which Prime Minister launched the Pradhan Mantri Jan Dhan Yojana?

23 / 30

The Government of India earns maximum revenue from

24 / 30

Which among the followings is the oldest Public Sector Bank of India?

25 / 30

India changed over to the decimal system of coinage in the year

26 / 30

In which sector Indian Govt allow 100% foreign direct investment

27 / 30

Which Finance Minister has introduced the service tax concept in India?

28 / 30

Who is the first Finance Minister to have risen to be the President of India? 

29 / 30

Who has the sole right to issue bank notes of all denominations?

30 / 30

Who is the Chairman of Planning Commission?

  

10th MATHEMATICS MOCK TEST

Introduction to Trigonometry

 

10th Mathematics

Introduction to Trigonometry

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1 / 36

 If cos (A + B) = 0, then sin (A – B) is reduced to

2 / 36

If a pole 6m high casts a shadow 2√3 m long on the ground, then the sun’s elevation is

3 / 36

 If cos9α = sin α and 9α < 90°, then the value of tan 5α is

4 / 36

If sin A = 1/2 and cos B = 1/2, then A + B = ?

5 / 36

If sin A + sin2 A = 1, then cos2 A + cos4 A = ?

6 / 36

 The value of (tan1° tan2° tan3° ... tan89°) is

7 / 36

Given that: SinA = a/b, then cosA = ?

8 / 36

The value of the expression [cosec (75° + θ) – sec (15° - θ) – tan (55° + θ) + cot (35° - θ)] is

9 / 36

 If cos A = 4/5, then tan A = ?

10 / 36

The value of sin θ and cos (90° – θ)

11 / 36

sec2θ – 1 = ?

12 / 36

Value of tan30°/cot60° is

13 / 36

(sin30° + cos30°) – (sin 60° + cos60°) = 

14 / 36

If x = a cos 0 and y = b sin 0, then b2x2 + a2y2 =

15 / 36

 If sec A + tan A = x, then sec A =

16 / 36

5 tan² A – 5 sec² A + 1 is equal to

17 / 36

If y sin 45° cos 45° = tan2 45° – cos2 30°, then y =

18 / 36

 If A and (2A – 45°) are acute angles such that sin A = cos (2A – 45°), then tan A is equal to

19 / 36

 If A, B and C are interior angles of a ΔABC then \cos \left(\frac{\mathrm{B}+\mathrm{C}}{2}\right) is equal to

20 / 36

 sin 2B = 2 sin B is true when B is equal to

21 / 36

If x and y are complementary angles, then

22 / 36

If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to

23 / 36

The value of sin² 30° – cos² 30° is

24 / 36

Ratios of sides of a right triangle with respect to its acute angles are known as

25 / 36

 If in ΔABC, ∠C = 90°, then sin (A + B) =

26 / 36

If cos 9A = sin A and 9A < 90°, then the value of tan 5A is

27 / 36

What is the minimum value of sin A, 0 ≤ A ≤ 90°

28 / 36

What is the maximum value of \frac{1}{\csc A}?

29 / 36

If sin x + cosec x = 2, then sin19x + cosec20x =

30 / 36

 sin (90° – A) = 

31 / 36

The value of sin² 5° + sin² 10° + sin² 15° + … + sin² 90° is equal to

32 / 36

 If cos (α + β) = 0, then sin (α – β) can be reduced to

33 / 36

If sin 0 = √3 cos θ, 0° < θ < 90°, then θ is equal to

34 / 36

If 0° < θ < 90°, then sec 0 is

35 / 36

 If 3 cot θ = 2, then the value of tan θ

36 / 36

Applications of Trigonometry

 

10th Mathematics

Applications of Trigonometry 

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1 / 39

If the length of the shadow of a tower is increasing, then the angle of elevation of the sun

2 / 39

The shadow of a tower is equal to its height at 10-45 a.m. The sun’s altitude is

3 / 39

The tops of two poles of height 10m and 18m are connected with wire. If wire makes an angle of 30° with horizontal, then length of wire is

4 / 39

The ratio of the length of a rod and its shadow is 1 :√3. The altitude of the sun is

5 / 39

If the angle of depression of an object from a 75 m high tower is 30°, then the distance of the object from the base of tower is

6 / 39

A ladder is 10 m long. It touches a wall at height of 5 m. The angle θ made by it with the horizontal is

7 / 39

The angle of depression from the top of a tower 12 m high, at a point on the ground is 30°. The distance of the point from the top of the tower is

8 / 39

A pole 10 m high casts a shadow 10 m long on the ground, then the sun’s elevation is

9 / 39

When the length of the shadow of a pillar is equal to its height, the elevation at source of sight is

10 / 39

When we lower our hand to look at the object, the angle formed by the line of sight with horizontal is known as

11 / 39

When we raise our hand to look at the object, the angle formed by the line of sight with horizontal is known as

12 / 39

When a point is observed, the angle formed by the line of sight with the horizontal level where the point being viewed is above the horizontal plane is known as

13 / 39

There are two windows in a house. A window of the house is at a height of 1.5 m above the ground and the other window is 3 m vertically above the lower window. Ram and Shyam are sitting inside the two windows. At an instant, the angle of elevation of a balloon from these windows are observed as 45° and 30° respectively. Find the height of the balloon from the ground

14 / 39

A window of a house is h metres above the ground. From the window, the angles of elevation and depression of the top and the bottom of another house situated on the opposite side of the lane are found to be A and B respectively. Then the height of the other house is

15 / 39

The angle of elevation of the top of a vertical tower from a point on the ground is60°. From another point 10 m vertically above the first, its angle of elevation is 45°. Find the height of the tower

16 / 39

The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is 60°, then the distance between the two towers is

17 / 39

The angle of elevation of the top of a tower from certain point is 30°. If the observer moves 20 metres towards the tower, the angle of elevation of the top increases by 15°. Find the height of the tower

18 / 39

If a pole 6m high casts a shadow 2√3 m long on the ground, then the sun’s elevation is

19 / 39

If a man standing on a platform 3 metres above the surface of a lake observes a cloud and its reflection in the lake, then the angle of elevation of the cloud is

20 / 39

 The shadow of a tower standing on a level plane is found to be 50 m longer when Sun’s elevation is 30° than when it is 60°. Then the height of tower is

21 / 39

The angles of elevation of the top of a tower from two points distant s and t from its foot are complementary. Then the height of the tower is

22 / 39

An observer 1.5 metres tall is 20.5 metres away from a tower 22 metres high.Determine the angle of elevation of the top of the tower from the eye of the observer

23 / 39

A ladder 15 metres long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall will be

24 / 39

If the height of a tower and the distance of the point of observation from its foot,both, are increased by 10%, then the angle of elevation of its top

25 / 39

The angle of elevation of the top of a tower is 30°. If the height of the tower is doubled, then the angle of elevation of its top will

26 / 39

A portion of a 60 m long tree is broken by tornado and the top struck up the ground making an angle of 30° with the ground level. The height of the point where the tree is broken is equal to

27 / 39

Two poles are 25 m and 15 m high and the line joining their tops makes an angle of 45° with the horizontal. The distance between these poles is

28 / 39

The angle of elevation of the top of a tower from a point 20 metres away from its base is 45°. The height of the tower is

29 / 39

If two towers of heights h1 and h2 subtend angles of 60° and 30° respectively at the mid-point of the line joining their feet, then h1 : h2 =

30 / 39

The line drawn from the eye of an observer to the point in the object viewed by the observer is known as

31 / 39

The angles of elevation of the top of a rock from the top and foot of 100 m high tower are respectively 30° and 45°. The height of the rock is

32 / 39

A plane is observed to be approaching the airport. It is at a distance of 12 km from the point of observation and makes an angle of elevation of 60°. The height above the ground of the plane is

33 / 39

The angle of elevation of top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. The length of the tower is

34 / 39

When the length of shadow of a vertical pole is equal to √3 times of its height, the angle of elevation of the Sun’s altitude is

35 / 39

 In given figure, ABCD is a || gm. The lenght of AP is
MCQ Questions for Class 10 Maths Application of Trigonometry with Answers 8

36 / 39

In figure given ABCD is a rectangle, the value of CE is
MCQ Questions for Class 10 Maths Application of Trigonometry with Answers 7

37 / 39

In given Fig., the angle of depression from the observing position D and E of the object at A are
MCQ Questions for Class 10 Maths Application of Trigonometry with Answers 3

38 / 39

In given figure, the value of ZC is
MCQ Questions for Class 10 Maths Application of Trigonometry with Answers 2

39 / 39

 In given figure, the value of CE is
MCQ Questions for Class 10 Maths Application of Trigonometry with Answers 1

Statistics

 

10th Mathematics

Statistics 

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1 / 32

While computing mean of the grouped data, we assume that the frequencies are

2 / 32

 For the following distribution,

Class0-55-1010-1515-2020-25
Frequency101512209

The sum of lower limits of median class and modal class is

3 / 32

The abscissa of the point of intersection of the less than type and of the more than type cumulative frequency of a grouped data gives its

4 / 32

 In a small scale industry, salaries of employees are given in the following distribution table:

Salary (in Rs.)4000 - 50005000-60006000-70007000-80008000-90009000-10000
Number of employees2060100508090

Then the mean salary of the employee is

5 / 32

In a hospital, weights of new born babies were recorded, for one month. Data is as shown:

Weight of new born baby (in kg)1.4 – 1.81.8 – 2.22.2 – 2.62.6 – 3.0
No of babies31561

Then the median weight is

6 / 32

The Median when it is given that mode and mean are 8 and 9 respectively is

7 / 32

If 35 is removed from the data, 30, 34, 35, 36, 37, 38, 39, 40 then the median increases by

8 / 32

 If the mean of first n natural numbers is 5n/9, then n =?

9 / 32

If the arithmetic mean of x, x + 3, x + 6, x + 9 and x + 12 is 10, then x = ?

10 / 32

One of the methods for determining mode is

11 / 32

Pocket expenses of a class in a college are shown in the following frequency distribution:

Pocket expenses0-200200-400400-600600-800800-10001000-12001200-1400
Number of students337417088764425

Then the median for the above data is

12 / 32

For one term, absentee record of students is given below. If mean is 15.5, then the missing frequencies x and y are:

Number of days0-55-1010-1515-2020-2525-3030-3535-40TOTAL
Total Number of students1516x8y86470

13 / 32

Cumulative frequency curve is also called

14 / 32

The median of set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set

15 / 32

If mean = (3 median – mode) . k, then the value of k is

16 / 32

Mode and mean of a data are 12k and 15A. Median of the data is

17 / 32

Mean of 100 items is 49. It was discovered that three items which should have been 60, 70, 80 were wrongly read as 40, 20, 50 respectively. The correct mean is

18 / 32

For the following distribution

Marks0-1010-2020-3030-4040-50
No. of students3913105

the number of students who got marks less than 30 is

19 / 32

For the following distribution

Cl0-55-1010-1515-2020-25
f101512209

the difference of the upper limit of the median class and the lower limit of the modal class is

20 / 32

For the following distribution

C.I.0-56-1112-1718-2324-29
f2620301622

the upper limit of the median class is

21 / 32

For the following distribution

C.I.0-1010-2020-3030-4040-50
f2030244018

the sum of lower limits of the modal class and the median class is

22 / 32

Which of the following can not be determined graphically?

23 / 32

The algebraic sum of the deviations of a frequency distribution from its mean is always

24 / 32

Mode is the

25 / 32

For ‘more than ogive’ the x-axis represents

26 / 32

Which of the following is not a measure of central tendency?

27 / 32

There are lottery tickets labelled numbers from 1 to 500. I want to find the number which is most common in the lottery tickets. What quantity do I need to use? 

28 / 32

The mode of the following data.

cbse board class 10 maths chapter 14 12

29 / 32

(For an arranged data) The median is the 

30 / 32

The average weight of a group of 25 men was calculated to be 78.4 kg. It was discovered later that one weight was wrongly entered as 69 kg instead of 96 kg. What is the correct average ?

31 / 32

 If the sum of all the frequencies is 24, then the value of z is:

cbse board class 10 maths chapter 14 2

32 / 32

Class mark of a class is obtained by using

Arithmetic Progression

 

10th Mathematics

Arithmetic Progression 

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1 / 40

If the 2nd term of an AP is 13 and the 5th term is 25, what is its 7th term?

2 / 40

The 21st term of the AP whose first two terms are –3 and 4 is

3 / 40

The 11th term of AP -5, -5/2, 0, 5/2, ------ is 

4 / 40

The first four terms of an AP, whose first term is –2 and the common difference is –2, are

5 / 40

In an AP, if a = 3.5, d = 0, n = 101, then an will be

6 / 40

In an AP, if d = –4, n = 7, an = 4, then a is

7 / 40

The (n – 1)th term of an A.P. is given by 7,12,17, 22,… is

8 / 40

 If the sum of three numbers in an A.P. is 9 and their product is 24, then numbers are

9 / 40

 If p, q, r and s are in A.P. then r – q is

10 / 40

The nth term of an A.P. is given by an = 3 + 4n. The common difference is

11 / 40

Which term of an AP : 21, 42, 63, 84, ... is 210?

12 / 40

The list of numbers − 10, − 6, − 2, 2, ... is

13 / 40

If the numbers n – 2, 4n – 1 and 5n +2 are in AP, then the value of n is

14 / 40

In an AP if a = 1, an = 20 and Sn = 399, then n is

15 / 40

If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be

16 / 40

Two APs have the same common difference. The first term of one of these is –1 and that of the other is – 8. Then the difference between their 4th terms is

17 / 40

The middle most term (s) of the AP:–11, –7, –3, ..., 49 is

18 / 40

The sum of first five multiples of 3 is

19 / 40

The sum of first 16 terms of the AP: 10, 6, 2,... is

20 / 40

If the common difference of an AP is 5, then what is a18 – a13?

21 / 40

If the sum of first n terms of an AP is An + Bn² where A and B are constants, the common difference of AP will be

22 / 40

The first term of an AP of consecutive integers is p² + 1. The sum of 2p + 1 terms of this AP is

23 / 40

If the nth term of an AP is (2n +1), then the sum of its first three terms is

24 / 40

The next term of the AP √18, √50, √98, …….. is

25 / 40

If p, q, r are in AP, then p3 + r3 – 8q3 is equal to

26 / 40

 If 2x, x + 10, 3x + 2 are in A.P., then x is equal to

27 / 40

 nth term of the sequence a, a + d, a + 2d,… is

28 / 40

If a, b, c, d, e are in A.P., then the value of a – 4b + 6c – 4d + e is

29 / 40

 The number of multiples lie between n and n² which are divisible by n is

30 / 40

The sum of first n odd natural numbers is

31 / 40

 The sum of all two digit odd numbers is

32 / 40

The sum of 12 terms of an A.P. whose nth term is given by an = 3n + 4

33 / 40

The nth term of an A.P. 5, 2, -1, -4, -7 … is

34 / 40

The first term of an AP is 5, the last term is 50 and the sum is 440. Find the number of terms and the common difference

35 / 40

The sum of first ten terms of an A.P. is four times the sum of its first five terms, then ratio of the first term and common difference is

36 / 40

If (x+1),3x and (4x+2) are first three terms of an AP, then its 5th term is

37 / 40

For what value of n, are the nth terms of two AP’s: 63, 65, 67 …. and 3, 10, 17,.. equal?

38 / 40

Two AP’s have the same common difference. The difference between their 100th terms 100, what is the difference between their 1000th terms

39 / 40

Which term of the AP: 3, 15, 27, 39, … will be 132 more than its 54th term?

40 / 40

If the third and the ninth terms of an AP are 4 and -8 respectively, which term of this AP is zero?

Circles

 

10th Mathematics

Circles

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1 / 30

In the given figure, if ZRPS = 25°, the value of ZROS is
MCQ Questions for Class 10 Maths Circles with Answers 1

2 / 30

In the following figure, tangents PQ and PR are drawn to a circle such that ∠RPQ = 30°. A chord RS is drawn parallel to the tangent PQ, then ∠RQS.

CBSE 10th Maths Exam 2020: Important MCQs from Chapter 10 Circles with Detailed Solutions

3 / 30

In the following figure, AB is a chord of the circle and AOC is its diameter such that ACB = 50°. If AT is the tangent to the circle at the point A, then BAT is equal to

CBSE 10th Maths Exam 2020: Important MCQs from Chapter 10 Circles with Detailed Solutions

4 / 30

In the adjoining figure, Δ ABC is circumscribing a circle. Then, the length of BC is

CBSE 10th Maths Exam 2020: Important MCQs from Chapter 10 Circles with Detailed Solutions

5 / 30

In the following figure, if PQR is the tangent to a circle at Q whose centre is O, AB is a chord parallel to PR and ∠BQR = 70°, then ∠AQB is equal to

CBSE 10th Maths Exam 2020: Important MCQs from Chapter 10 Circles with Detailed Solutions

6 / 30

 If two tangents inclined at an angle 60° are drawn to a circle of radius 3 cm, then length of each tangent is equal to

7 / 30

If a chord AB subtends an angle of 60° at the centre of a circle, then angle between the tangents at A and B is

8 / 30

If d1, d2 (d2 > d1) be the diameters of two concentric circles and c be the length of a chord of a circle which is tangent to the other circle, then

9 / 30

In the following figure, PA and PB are tangents from a point P to a circle with centre O. Then the quadrilateral OAPB must be a

CBSE 10th Maths Exam 2020: Important MCQs from Chapter 10 Circles with Detailed Solutions

10 / 30

In the following figure, if O is the centre of a circle, PQ is a chord and the tangent PR at P makes an angle of 50° with PQ, then ∠POQ is equal to

CBSE 10th Maths Exam 2020: Important MCQs from Chapter 10 Circles with Detailed Solutions

11 / 30

At one end A of a diameter AB of a circle of radius 5 cm, tangent XAY is drawn to the circle. The length of the chord CD parallel to XY and at a distance 8 cm from A is

12 / 30

In the following figure, AT is a tangent to the circle with centre O such that OT = 4 cm and ∠OTA = 30°. Then AT is equal to

CBSE 10th Maths Exam 2020: Important MCQs from Chapter 10 Circles with Detailed Solutions

13 / 30

The length of tangent from an external point on a circle is

14 / 30

If angle between two tangents drawn from a point P to a circle of radius ‘a’and centre ‘O’ is 90°, then OP =

15 / 30

The length of tangent from an external point P on a circle with centre O is

16 / 30

If angle between two radii of a circle is 130º, then the angle between the tangents at the ends of the radii is

17 / 30

In figure if PQR is the tangent to a circle at Q whose centre is O, AB is a chord parallel to PR and ∠BQR = 70°, then ∠AQB is equal to 
MCQ Questions for Class 10 Maths Circles with Answers 16

18 / 30

In the given figure, TP and TQ are two tangents to a circle with centre O, such that ∠POQ = 110°. Then ∠PTQ is equal to
Multiple Choice Questions on Circles

19 / 30

In figure, O is the centre of a circle, AB is a chord and AT is the tangent at A. If ∠AOB = 100°, then ∠BAT is equal to
MCQ Questions for Class 10 Maths Circles with Answers 12

20 / 30

C (O, r1) and C(O, r2) are two concentric circles with r1 > r2 AB is a chord of C(O, r1) touching C(O, r,2) at C then

21 / 30

In the given figure, point P is 26 cm away from the centre O of a circle and the length PT of the tangent drawn from P to the circle is 24 cm. Then the radius of the circle is 
MCQ Questions for Class 10 Maths Circles with Answers 9

22 / 30

In the given figure, AB and AC are tangents to the circle with centre O such that ∠BAC = 40°, then ∠BOC is equal to 
MCQ Questions for Class 10 Maths Circles with Answers 8

23 / 30

From a point P which is at a distance of 13 cm from the centre O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. Then the area of the quadrilateral PQOR is

24 / 30

In given figure, CP and CQ are tangents to a circle with centre O. ARB is another tangent touching the circle at R. If CP = 11 cm and BC = 6 cm then the length of BR is
MCQ Questions for Class 10 Maths Circles with Answers 2

25 / 30

The length of a tangent drawn from a point at a distance of 10 cm of circle is 8 cm. The radius of the circle is

26 / 30

Tangents from an external point to a circle are

27 / 30

The tangents drawn at the extremities of the diameter of a circle are

28 / 30

Number of tangents drawn at a point of the , circle is/are

29 / 30

The length of tangents drawn from an external point to the circle

30 / 30

A tangent is drawn from a point at a distance of 17 cm of circle C(0, r) of radius 8 cm. The length of its tangent is

 

Areas related to Circles

 

10th Mathematics

Areas Related to Circles

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1 / 33

A round table cover has six equal designs as shown in the figure. If the radius of thecover is 28 cm, then the cost of making the design at the rate of Rs. 0.35 per cm2 is

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Area of a sector of central angle 120° of a circle is 3π cm2. Then the length of the corresponding arc of this sector is

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The area of the shaded region in Fig., where arcs drawn with centres P, Q, Rand S intersect in pairs at mid-points A, B, C and D of the sides PQ, QR, RS and SP, respectively of a square PQRS, is

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A cow is tied with a rope of length 14 m at the corner of a rectangular field of dimensions 20m × 16m, then the area of the field in which the cow can graze is

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The wheel of a motor cycle is of radius 35 cm. How many revolutions per minute must the wheel make so as to keep a speed of 66 km/h?

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If the length of an arc of a circle of radius is equal to that of an arc of a circle of radius 2r, then

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The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm respectively, is

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The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm is

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The area of the square that can be inscribed in a circle of radius 8 cm is

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The area of the circle that can be inscribed in a square of side 6 cm is

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It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be

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If the perimeter of a circle is equal to that of a square, then the ratio of their areas is

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 Area of the largest triangle that can be inscribed in a semi-circle of radius units, in square units is

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If the circumference of a circle and the perimeter of a square are equal, then

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If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then

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In the figure, PQRS is a square and O is centre of the circle. If RS = 10 √2, then area of shaded region is

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A circular wire of radius 42 cm is cut and bent into the form of a rectangle whose sides are in the ratio of 6 : 5. The smaller side of the rectangle is

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The ratio of the areas of the incircle and circumcircle of a square is

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If the circumferences of two circles are in the ratio 4 : 9, then the ratio in their area is

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If the difference between the and the radius of of a circle is 37 cm, then 22 using π = 22/7 the circumference (in cm) of the circle is

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The diameter of a wheel is 1.26 m. The distance travelled in 500 revolutions is

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If the circumference of a circle is 352 metres, then its area in square metres is

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The perimeter (in cm) of a square circumscribing a circle of radius a cm, is

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The radii of two circles are 4 cm and 3 cm respectively. The diameter of the circle having area equal to the sum of the areas of the two circles (in cm) is

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The radii of two circles are 19 cm and 9 cm respectively. The radius of the circle which has circumference equal to the sum of the circumference of two circles is

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The length of the minute hand of a clock is 14 cm. The area swept by the minute hand in 5 minutes is

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 The area of a circle whose circumference is 22 cm, is

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 The area of the sector of a circle with radius 6 cm and of angle 60° is

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The area of the circle whose diameter is 21 cm is

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The area of a quadrant of a circle whose circumference is 22 cm, is

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The area of a quadrant of a circle whose circumference is 22 cm, is

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 If angle of sector is 60°, radius is 3.5 cm then length of the arc is

33 / 33

The area of the circle is 154 cm2. The radius of the circle is

Quadratic Equations 

 

10th Mathematics

Quadratic Equations

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1 / 29

A takes 6 days less than B to finish a piece of work. If both A and B together can finish the work in 4 days, find the time taken by B to finish the work.

2 / 29

Satvik observed that in a clock, the time needed by the minute hand of a clock to show 3 PM was found to be 3 min less than t2/4 minutes at t minutes past 2 PM. Then t is equal to

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A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/h more than its original speed. If it takes 3 hours to complete the total journey, what is its original average speed?

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Rohini had scored 10 more marks in her mathematics test out of 30 marks, 9 times these marks would have been the square of her actual marks. How many marks did she get in the test?

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 If the one root of the equation 4x2 – 2x + p – 4 = 0 be the reciprocal of other. Then value of p is

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If x2 (a2 + b2) + 2x (ac + bd) + c2 +d2 = 0 has no real roots, then

7 / 29

If p2x2 – q2 = 0, then x =?

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The product of two successive integral multiples of 5 is 300. Then the numbers are

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A natural number, when increased by 12, equals 160 times its reciprocal. Find the number

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If 1/2 is a root of the equation x2 + kx – (5/4) = 0 then the value of k is

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 Which constant should be added and subtracted to solve the quadratic equation 4x2 − √3x + 5 = 0 by the method of completing the square?

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Equation (x+1)2 – x2 = 0 has _____ real root(s).

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The roots of quadratic equation 5x2 – 4x + 5 = 0 are

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If the equation x2+2(k+2) x+9k=0 has equal roots, then values of k are

15 / 29

Taylor purchased a rectangular plot of area 634 m2. The length of the plot is 2 m more than thrice its breadth. Find the length and breadth (approximate values).

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Find the discriminant of the quadratic equation 3x2–5x+2=0 and hence, find the nature of the roots

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If the solutions of the equation  x2+3x−18=0 are -6, 3 then the roots of the equation 2(x2+3x−18)=0 are

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If a train travelled 5 km/hr faster, it would take one hour less to travel 210 km. The speed of the train is 

19 / 29

The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides (in cm)

20 / 29

Factorize of  x2 +5x+6 =0 are

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The roots of the quadratic equation x2+5x-14=0 are

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If the sum of the roots of a quadratic equation is 5 and the product of the roots is also 5, then the equation is

23 / 29

What is the degree of a quadratic equation?

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  If the equation x2 – kx + 1, have no real roots, then

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Value of D when root of ax2 + bx + c = 0 are real and unequal will be

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The value of p for equation 2x2 – 4x + p = 0 to have real roots will be

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  The roots of the equation 9x2 – bx + 81 = 0 will be equal, if the value of b is

28 / 29

 For ax2 + bx + c = 0, which of the following statement is wrong?

29 / 29

 Every quadratic polynomial can have at most

   

ENGLISH MOCK TEST

Articles

 

General English

01

(Select the Suitable Article)

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1 / 30

____________moon is shining tonight.

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 ''If there are __ few planets like Earth out there,''

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''there might also be __ life.''

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The detective replied, ''You idiot! It means that somebody stole __ tent.''

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Soon it began to get dark. But luckily they had __ tent with them.

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__ forest was dark and a little bit frightening.

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A famous detective and his deputy were walking in __ forest

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The helicopter landed on                      roof of a building.

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What                      amazing view!

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I would love to talk to one of                      managers.

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Have you been to                      Space Needle Tower in Seattle?

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She will come back in                      hour.

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I was born into                      poor family.

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Can I have                      spoon please?

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I checked                      mailbox again.

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Are you looking for                     shampoo?

17 / 30

Did you bring                      umbrella?

18 / 30

Did you bring                      umbrella?

19 / 30

______________honest are respected.

20 / 30

_____________Daniel come to judgement. 

21 / 30

Not ______________ word was uttered

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This is _____________best book of elementary physics.

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I bought __________pair of shoes.

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She is wearing _____________dress

25 / 30

Mohan is pulling a rabbit from his magician’s hat. ______________ rabbit does not look happy!

26 / 30

Umair is listening to _____________song in his car

27 / 30

Shyam is looking at ___________ yellow map.

28 / 30

 He is giving her a ring. _____________ring is very expensive!

29 / 30

We visited ______________Taj Mahal in June.

30 / 30

Rahul gave his teacher _________ apple.

  

Figure of Speech 

 

General English

02

(Identify the Figure of Speech)

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1 / 30

Variety is the spice of life

2 / 30

Suddenly in the middle of the night, the dog started barking

3 / 30

Barking is a word that indicates sound

4 / 30

The cat ran away like the wind

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 The story was as dull as ditch water

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 He ran like the wind. 

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“The bees buzzed around in the garden”. 

8 / 30

Since he has been away from home he has gotten as thin as a toothpick“. 

9 / 30

“The wind howled as the storm grew stronger”. 

10 / 30

“She is as brave as a lion”.

11 / 30

Dirty dogs dig in the dirt

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I have told you a million times not to lie!

13 / 30

The burglar ran as fast as lightning.

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 The homeless survived in their cardboard palaces

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 The fire station burned down last night.

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  To err is human, to forgive is divine

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A bicycle can't stand on its own because it is two tired

18 / 30

He is the wisest fool of them all.

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Lead, Kindly light, amid the encircling gloom.

20 / 30

 “Fair daffodils, we weep to see you haste away so soon”.

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 I kissed the hand of death.

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Let the floods clap their hands.

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Hope springs eternal

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  She was a tower of strength in their trouble.

25 / 30

I've told you to stop a thousand times

26 / 30

Blue baby bonnets bobbed through the bayou

27 / 30

A traffic cop gets suspended for not paying his parking tickets

28 / 30

Some slimy snakes were slowly slithering

29 / 30

"All the world's a stage."

30 / 30

The internet is like a window to the world

Cricket Trivia (M.S Dhoni) 

 

Challenge Yourself

Cricket Trivia 

(M.S Dhoni)

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1 / 26

Under Dhoni's captaincy, CSK team has won how many IPL titles?

2 / 26

Apart from CSK, which team has bought Dhoni for IPL?

3 / 26

who was Dhoni’s first coach?

4 / 26

Which honorary position does Dhoni hold in the Indian Territorial Army ?

5 / 26

He holds the record of the highest ODI score by a wicketkeeper, how much is the Score?

6 / 26

MS Dhoni took over the ODI captaincy from __________ in 2007

7 / 26

 Dhoni is the co-owner of which Indian Super League team ?

8 / 26

Dhoni was a Travelling Ticket Examiner (TTE) at ______________ railway station from 2001 to 2003, under South Eastern Railway in Midnapore (W), a district in West Bengal

9 / 26

What is the Nick name of Mahendra Singh Dhoni's ?

10 / 26

In which year did Dhoni win the Rajiv Gandhi Khel Ratna award?

11 / 26

Against which country did Dhoni (as captain) score his first bilateral ODI series win?

12 / 26

When did MS Dhoni play his first ODI?

13 / 26

Mahendra Singh Dhoni was born on

14 / 26

Dhoni played for which IPL team other than Chennai Super Kings?

15 / 26

What is the T-Shirt no. of MS Dhoni in T20I and ODIs?

16 / 26

 MS Dhoni played his last test match in December 2014 against which team?

17 / 26

Where did MS Dhoni made his 183 not out?

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What is the bowling style of MS Dhoni?

19 / 26

In which year did Dhoni become the first player to win two ICC Player of the Year twice?

20 / 26

He has the highest score by an Indian Test captain. What is the score?

21 / 26

Dhoni is the first Indian and fifth overall player to hit most sixes in ODIs. How many sixes has he hit?

22 / 26

As a captain Dhoni holds the record for going most consecutive Test matches unbeaten since debut. What is the number of matches?

23 / 26

Which cricketer he idolised as a budding cricketer?

24 / 26

Dhoni is the Indian wicket-keeper with most dismissals in ODI cricket?

25 / 26

Dhoni is the most successful India Test captain with how many wins?

26 / 26

Dhoni had the highest batting average in ODIs among player with or over 10000 runs and had the fifth highest average among players with 5000 runs. What is his ODI batting average?

 

Reasoning Ability 

 

Challenge Yourself

Reasoning Ability

(Test your Score)

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1 / 25

Complete the given series by finding the missing term

28, 33, 31, ?, 34, 39

2 / 25

How many times do the hands of a clock coincide in 24 hours?

3 / 25

Pointing to an old woman, Aryan said ‘’Her son is my son’s uncle.” How is Aryan related to old woman?

4 / 25

Complete the given series by finding the missing term

5, 15, 45, 225, ?

5 / 25

Read the following information to answer the given question.

A B C D E F are sitting in a row.

E and F are in the center, A and B are at the ends.

C is sitting on the left of A.

Who is sitting three places on the right of D?

6 / 25

If ‘air’ is called ‘green’, ‘green’ is called ‘red’, ‘red’ is called ‘sea’, ‘sea’ is called ‘blue’, ‘blue’ is called ‘water’ and ‘water’ is called ‘pink’, then what is the color of grass?

7 / 25

Aman runs towards North for 10 m, turns left and runs another 20 m.He turns right and walks slowly for 10 m. Then he again turns right, walks another 50 m and stops.In which direction is he with respect to his initial position?

8 / 25

At what time, in minutes, between 3 o'clock and 3.25 pm, both the needles of the clock will coincide each other?

9 / 25

Study the information given below carefully, and answer the question that follow:

On a stage, D, N, A and P are standing as described below facing North.

1) N is 2.5 m to the west of A.
2) K is 4 m to the right of A.
3) D is 6 m to the south of K.
4) P is 9 m to the north of D.

Who is to the south-west of P?

10 / 25

In the following question, various terms of an alphabet series are given with one or more missing terms as shown by (?). Choose the missing term out of the given alternatives.

U, S, P, L, G, ?

11 / 25

Choose the number which is different from others.

12 / 25

 At what time between 4 and 4.59 will the hands of a watch point in opposite directions?

13 / 25

One morning, Manish and Ali were talking to each other face to face at a crossing. If Ali's shadow was exactly to the left of Manish, which direction was Manish facing?

14 / 25

Choose the number which is different from others

15 / 25

In the following question, various terms of an alphabet series are given with one or more missing terms as shown by (?). Choose the missing term out of the given alternatives.

IJK, NOP, STU, ?

16 / 25

In a certain code language, ‘it be pee’ means ‘dogs are blue’, ‘sik hee’ means ‘large horses’ and ‘pee mit hee’ means ‘horses are pigs’. How is ‘pigs are large horses’ written in this code?

17 / 25

Choose the odd pair.

18 / 25

In the following question, choose the correct code form.

If BATMAN is coded as 123416, PERMAN is coded as 987416, then TAPER is coded as?

19 / 25

In the following question, choose the correct code form.

If R=19, RON = 50, then what FONTS equal to?

20 / 25

If, in a language, ‘one’ is called ‘two’, ‘two’ is called ‘three’, ‘three’ is called ‘four’, ‘four’ is called ‘five’ and ‘five’ is called ‘six’. Then what is the square of number 2?

21 / 25

A man said to a lady, “Your mother’s husband’s sister is my aunt”. How is the lady related to the man?

22 / 25

An accurate clock shows 10 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 6 o'clock in the evening?

23 / 25

Read the following information carefully and answer the questions below.

1. In a family of six persons, L, M, N, F, P, Q, there are two married couples.
2. F is grandmother of L and mother of M.
3. N is wife of M and mother of Q.
4. Q is the grand-daughter of P.

What is N to L?

24 / 25

A sales executive went to meet his client A in another office 17 km away in the North-east direction of his own office. From there he went to see client B in an office 15 km in the south of his client A’s office. How far from the starting point and in what direction is he now?

25 / 25

In the following questions, one term in the number series is wrong. Find the wrong term.

15, 16, 20, 30, 45, 70

 

KNOWLEDGE HUB

The digestive juice secreted by Inner walls of small intestine is Intestinal juice, The digestive juice secreted by liver is Bile juice, The acid present in gastric juice is HCl, Villi is located on the walls of small intestine, The finger like structure that helps to absorb the digested food by bllod present on the walls of small intestine is Villi, The chief cause for the disease Jaundice is Addiction to alcohol and drugs,

The chief cause for the digestive disease Obesity is over eating,  The chief cause for the disease Constipation is inadequate roughage in food, The respiration that uses oxygen to break down organic compounds is called Aerobic respiration, The respiration that takes place with out oxygen is called Anaerobic respiration, The exchange of gases that take place during respiration between the medium and blood is called External respiration, The exchange of gases that take place during respiration between the blood and the body cells is called Internal respiration,

The wind pipe that leads from throat starting from the larynx to the point where it bifurcates into two branches is called Trachea, The finest branch of bronchiole that ends in structures are called Sacs, The chief organ of respiration in human beings is Lungs, A sheet of muscle located below the lungs is called Diaphargm, The function of Diaphargm is to help in breathing movements