32581 + Interview Questions in Mathematics

1.	Residential colony has a population of 5400 and 60 liters of water is required per person per day. For the effective utilization of rain water, they constructed a water reservoir measuring 48 m×27, m×25m to collect rainwater. For how many days, the water of this tank is sufficient, if during rain the height of the water is 5 m.
Answer» Residential colony has a population of 5400 and 60 liters of water is required per person per day. For the effective utilization of rain water, they constructed a water reservoir measuring $48 m \times 27$ , $m \times 25 m$ to collect rainwater. For how many days, the water of this tank is sufficient, if during rain the height of the water is 5 m.

Discussion

2.	Question 26 The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is a) 72∘ b) 144∘ c) 36∘ d) 18∘
Answer» Question 26 The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is a) $72^{\circ}$ b) $144^{\circ}$ c) $36^{\circ}$ d) $18^{\circ}$

Discussion

3.	Let f be an odd function defined on the real numbers such that f(x)=3sinx+4cosx, for x≥0, then f(x) for x<0 is
Answer» Let $f$ be an odd function defined on the real numbers such that $f (x) = 3 sin x + 4 cos x$ , for $x \geq 0$ , then $f (x)$ for $x < 0$ is

Discussion

4.	Question 22 Increase of a number from 150 to 162 is equal to increase of ___ per cent.
Answer» Question 22 Increase of a number from 150 to 162 is equal to increase of ___ per cent.

4.

Question 22 Increase of a number from 150 to 162 is equal to increase of ___ per cent.

Answer»

Question 22

Increase of a number from 150 to 162 is equal to increase of ___ per cent.

Discussion

5.	Question 7 A merchant had Rs.78,592 with her. She placed an order for purchasing 40 radio sets at Rs.1,200 each. How much money will remain with her after the purchase?
Answer» Question 7 A merchant had Rs.78,592 with her. She placed an order for purchasing 40 radio sets at Rs.1,200 each. How much money will remain with her after the purchase?

Discussion

6.	Question 105 Fill in the blank to make the statement true. The distance between Srinagar and Leh is 422 km. The same distance in metres is .............
Answer» Question 105 Fill in the blank to make the statement true. The distance between Srinagar and Leh is 422 km. The same distance in metres is .............

Discussion

7.	Question 123 You are at an elevation 380 m above sea level as you start a motor ride. During the ride, your elevation changes by the following metres 540 m, -268 m, 116 m, -152 m, 490 m, -844 m, 94 m. What is your elevation relative to the sea level at the end of the ride?
Answer» Question 123 You are at an elevation 380 m above sea level as you start a motor ride. During the ride, your elevation changes by the following metres 540 m, -268 m, 116 m, -152 m, 490 m, -844 m, 94 m. What is your elevation relative to the sea level at the end of the ride?

7.

Question 123 You are at an elevation 380 m above sea level as you start a motor ride. During the ride, your elevation changes by the following metres 540 m, -268 m, 116 m, -152 m, 490 m, -844 m, 94 m. What is your elevation relative to the sea level at the end of the ride?

Answer»

Question 123

You are at an elevation 380 m above sea level as you start a motor ride. During the ride, your elevation changes by the following metres 540 m, -268 m, 116 m, -152 m, 490 m, -844 m, 94 m. What is your elevation relative to the sea level at the end of the ride?

Discussion

8.	Mt. Everest is at a height of 8850m. Its base is at an elevation of 5400m. The temperature here drops at the rate of 1 degree per 10 metres. If the temperature at the base is -5°C. What is the temperature of the top?
Answer» Mt. Everest is at a height of 8850m. Its base is at an elevation of 5400m. The temperature here drops at the rate of 1 degree per 10 metres. If the temperature at the base is -5°C. What is the temperature of the top?

Discussion

9.	What number is to be added to the polynomial x2 -5x+4 so that 5is zero of the polynomial?
Answer» What number is to be added to the polynomial x^{2 -5x+4 _{so that 5is zero of the polynomial?}}

Discussion

10.	The radius and height of a right circular cone are in the ratio 3:4. Then the ratio of total surface area of the cone to its curved surface area is
Answer» The radius and height of a right circular cone are in the ratio 3:4. Then the ratio of total surface area of the cone to its curved surface area is

Discussion

11.	In △ PQR, right angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of cos R.
Answer» In $△$ PQR, right angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of cos R.

Discussion

12.	For the given set of numbers, find the median: 4, 12, 11, 5, 15, 27, 47, 75, 81, 35
Answer» For the given set of numbers, find the median: 4, 12, 11, 5, 15, 27, 47, 75, 81, 35

12.

For the given set of numbers, find the median: 4, 12, 11, 5, 15, 27, 47, 75, 81, 35

Answer»

For the given set of numbers, find the median:

4, 12, 11, 5, 15, 27, 47, 75, 81, 35

Discussion

13.	If the angle between 2 radii of a circle is 140°, then the angle between the tangents at the ends of the radii is?
Answer» If the angle between 2 radii of a circle is 140°, then the angle between the tangents at the ends of the radii is?

Discussion

14.	the lateral surface area of a cylinder is equal to the curved surface area of a cone if the radius be same.find the radius of the height of cylinder and slant height of cone?
Answer» the lateral surface area of a cylinder is equal to the curved surface area of a cone if the radius be same.find the radius of the height of cylinder and slant height of cone?

Discussion

15.	Which of the following are quadratic equations: 1}x^2+1/x^2=x^2 ; (x#0) 2}x^2+1/ x^2=2 ; (x#0) 3}7x=2x^3
Answer» Which of the following are quadratic equations: 1}x^2+1/x^2=x^2 ; (x#0) 2}x^2+1/ x^2=2 ; (x#0) 3}7x=2x^3

Discussion

16.	A number is obtained by reversing it's original number is 12.t hen find the number?
Answer» A number is obtained by reversing it's original number is 12.t hen find the number?

Discussion

17.	In the figure given above, PA and PB are tangents to the circle from point P. How many real values of x exist such that the length of PA is x and length of PB is x2+1?
Answer» In the figure given above, PA and PB are tangents to the circle from point P. How many real values of $x$ exist such that the length of PA is $x$ and length of PB is $x^{2} + 1$ ?

Discussion

18.	How many of the following statements are true about the identity function. Mention the correct number of statement(s). (a) It's graph is shown above. (b) Domain is R (c) Range is R (d) Its an even function ___
Answer» How many of the following statements are true about the identity function. Mention the correct number of statement(s). (a) It's graph is shown above. (b) Domain is R (c) Range is R (d) Its an even function ___

18.

How many of the following statements are true about the identity function. Mention the correct number of statement(s). (a) It's graph is shown above. (b) Domain is R (c) Range is R (d) Its an even function ___

Answer»

How many of the following statements are true about the identity function. Mention the correct number of statement(s).

(a) It's graph is shown above.
(b) Domain is R
(c) Range is R
(d) Its an even function

___

Discussion

19.	Solve the quadratic equation by factorization : 16x-10÷x=27
Answer» Solve the quadratic equation by factorization : 16x-10÷x=27

Discussion

20.	Prove that sin A - cos A +1\sin A +cos A -1= 1\sec A - tan A, using the identity sec2A=1+tan2A.
Answer» Prove that sin A - cos A +1\sin A +cos A -1= 1\sec A - tan A, using the identity sec²A=1+tan²A.

Discussion

21.	If 1 is the root of equation ay^2+at+3=0 and y^2+y+b=0. Find 'a' and 'b'. Thankyou
Answer» If 1 is the root of equation ay^2+at+3=0 and y^2+y+b=0. Find 'a' and 'b'. Thankyou

21.

If 1 is the root of equation ay^2+at+3=0 and y^2+y+b=0. Find 'a' and 'b'. Thankyou

Answer»

If 1 is the root of equation ay^2+at+3=0 and y^2+y+b=0. Find 'a' and 'b'.

Thankyou

Discussion

22.	Find the area of right angled triangle if the radius of its circum-circle is 5cm and the altitude drawn to the hypotenuse is 4cm
Answer» Find the area of right angled triangle if the radius of its circum-circle is 5cm and the altitude drawn to the hypotenuse is 4cm

Discussion

23.	Find the greatest number of six digit exactly divisible by 18 , 24 and 36.(with steps)
Answer» Find the greatest number of six digit exactly divisible by 18 , 24 and 36.(with steps)

Discussion

24.	If a polynomial of degree 8 is divided by polynomial of degree 5 then find the degree of the remainder
Answer» If a polynomial of degree 8 is divided by polynomial of degree 5 then find the degree of the remainder

Discussion

25.	Sam buys shares of a company at Rs 90 and sells them when the price becomes Rs 30 below par. What will be his loss if he invested Rs 4050?
Answer» Sam buys shares of a company at Rs 90 and sells them when the price becomes Rs 30 below par. What will be his loss if he invested Rs 4050?

Discussion

26.	Which of the following should be the LAST sentence after rearrangement?
Answer» Which of the following should be the LAST sentence after rearrangement?

Discussion

27.	Find the four numbers in AP whose sum is 20 and their product is 384.
Answer» Find the four numbers in AP whose sum is 20 and their product is 384.

Discussion

28.	If one of the zeroes of the cubic polynomial x 3 + ax 2 + bx + c is -1, then the product of the other two zeroes is
Answer» If one of the zeroes of the cubic polynomial x 3 + ax 2 + bx + c is -1, then the product of the other two zeroes is

Discussion

29.	Find the roots of quadratic equation correct to two decimal places. 2x2−10x+5=0
Answer» Find the roots of quadratic equation correct to two decimal places. $2 x^{2} - 10 x + 5 = 0$

Discussion

30.	If the sum of the squares of a and b is the same as the square of c and if m < n, then for what value of k can the Pythagorean triples be generated with the following equations?
Answer» If the sum of the squares of a and b is the same as the square of c and if m < n, then for what value of k can the Pythagorean triples be generated with the following equations?

Discussion

31.	Draw two intersecting lines to include an angle of 30∘. Use ruler and compass to locate points which are equidistant from these lines and also 2 cm away from their point of intersection. How many such points exist?
Answer» Draw two intersecting lines to include an angle of 30 $^{\circ}$ . Use ruler and compass to locate points which are equidistant from these lines and also 2 cm away from their point of intersection. How many such points exist?

Discussion

32.	Find a20 of a geometric sequence if the first few terms of the sequence are given by −12,14,−18,116,⋯
Answer» Find $a_{20}$ of a geometric sequence if the first few terms of the sequence are given by $- \frac{1}{2}, \frac{1}{4}, - \frac{1}{8}, \frac{1}{16}, \dots$

32.

Find a20 of a geometric sequence if the first few terms of the sequence are given by −12,14,−18,116,⋯

Answer»

Find $a_{20}$ of a geometric sequence if the first few terms of the sequence are given by $- \frac{1}{2}, \frac{1}{4}, - \frac{1}{8}, \frac{1}{16}, \dots$

Discussion

33.	The mth term of an A.P is ′n′ and nth term is ′m′. Then (m+n)th term of it is
Answer» The $m^{t h}$ term of an A.P is $^{'} n^{'}$ and $n^{t h}$ term is $^{'} m^{'} .$ Then $(m + n)^{t h}$ term of it is

Discussion

34.	In the adjoining figure, PQ II BC. What is the value of x
Answer» In the adjoining figure, PQ II BC. What is the value of x

Discussion

35.	The cost of 194 m of wire is Rs.1712. Find the cost of one meter of wire in Rs.___
Answer» The cost of $\frac{19}{4}$ m of wire is Rs. $\frac{171}{2}$ . Find the cost of one meter of wire in Rs.___

Discussion

36.	Question 1 (ii) In Δ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine: (ii) sin C, cos C
Answer» Question 1 (ii) In $Δ$ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine: (ii) sin C, cos C

Discussion

37.	A deposit which can be withdrawn by the depositor at any time by means of a cheque is called
Answer» A deposit which can be withdrawn by the depositor at any time by means of a cheque is called

Discussion

38.	In an entrance exam there were four sections of 50 marks each. Marks secured by Satyam in each section is shown below:−SubjectAptitudeGeneral MathematicsGeneral AwarenessEnglishMarks45403540 What is the percentage marks scored by Satyam in each section?
Answer» $I n a n e n t r a n c e e x a m t h e r e w e r e f o u r s e c t i o n s o f 50 m a r k s e a c h .$ $M a r k s s e c u r e d b y S a t y a m i n e a c h s e c t i o n i s s h o w n b e l o w : -$ $\begin{matrix} S u b j e c t & A p t i t u d e & G e n e r a l M a t h e m a t i c s & G e n e r a l A w a r e n e s s & E n g l i s h M a r k s & 45 & 40 & 35 & 40 \end{matrix}$ What is the percentage marks scored by Satyam in each section?

38.

In an entrance exam there were four sections of 50 marks each. Marks secured by Satyam in each section is shown below:−SubjectAptitudeGeneral MathematicsGeneral AwarenessEnglishMarks45403540 What is the percentage marks scored by Satyam in each section?

Answer»

$I n a n e n t r a n c e e x a m t h e r e w e r e f o u r s e c t i o n s o f 50 m a r k s e a c h .$
$M a r k s s e c u r e d b y S a t y a m i n e a c h s e c t i o n i s s h o w n b e l o w : -$ $\begin{matrix} S u b j e c t & A p t i t u d e & G e n e r a l M a t h e m a t i c s & G e n e r a l A w a r e n e s s & E n g l i s h M a r k s & 45 & 40 & 35 & 40 \end{matrix}$

What is the percentage marks scored by Satyam in each section?

Discussion

39.	A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment. [3 MARKS]
Answer» A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment. [3 MARKS]

Discussion

40.	The hypotenuse of a right angled triangle is 10 cm and the radius of the inscribed circle is 1 cm. The perimeter of the triangle is:
Answer» The hypotenuse of a right angled triangle is 10 cm and the radius of the inscribed circle is 1 cm. The perimeter of the triangle is:

Discussion

41.	How many prime numbers lie between 115 and 122?
Answer» How many prime numbers lie between 115 and 122?

Discussion

42.	If a train travelled 5 km/hr slower, it would take one hour more to travel 210 km. The speed of the train is :
Answer» If a train travelled 5 km/hr slower, it would take one hour more to travel 210 km. The speed of the train is :

Discussion

43.	Find the standard deviation for the following data. xi38131823fi71015106
Answer» Find the standard deviation for the following data. $\begin{matrix} x_{i} & 3 & 8 & 13 & 18 & 23 f_{i} & 7 & 10 & 15 & 10 & 6 \end{matrix}$

43.

Find the standard deviation for the following data. xi38131823fi71015106

Answer»

Find the standard deviation for the following data.

$\begin{matrix} x_{i} & 3 & 8 & 13 & 18 & 23 f_{i} & 7 & 10 & 15 & 10 & 6 \end{matrix}$

Discussion

44.	In a class test, the sum of Shefali's marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.
Answer» In a class test, the sum of Shefali's marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.

Discussion

45.	Whats the point that is on a x = 5 and has ordinate as -3
Answer» Whats the point that is on a x = 5 and has ordinate as -3

Discussion

46.	If the angle of the top of the 200 m high tower from a point C on the ground is 300. The distance of the point C from the foot of the tower is (Take √3 = 1.732 )
Answer» If the angle of the top of the 200 m high tower from a point C on the ground is 30⁰. The distance of the point C from the foot of the tower is (Take √3 = 1.732 )

46.

If the angle of the top of the 200 m high tower from a point C on the ground is 300. The distance of the point C from the foot of the tower is (Take √3 = 1.732 )

Answer»

If the angle of the top of the 200 m high tower from a point C on the ground is 30⁰. The distance of the point C from the foot of the tower is

(Take √3 = 1.732 )

Discussion

47.	If the points A(x, 2), B (-3,-4) and C (7, -5) are collinear, then the value of x is:
Answer» If the points A(x, 2), B (-3,-4) and C (7, -5) are collinear, then the value of x is:

Discussion

48.	Find the roots of the equation 5x2−6x−2=0 by completing the square method.
Answer» Find the roots of the equation $5 x^{2} - 6 x - 2 = 0$ by completing the square method.

Discussion

49.	What is the probability of getting the sum as 11 when a pair of dice is rolled?
Answer» What is the probability of getting the sum as 11 when a pair of dice is rolled?

Discussion

50.	Find the common difference of the following arithmetic progression. 3+2√2, 3+4√2, 3+6√2, 3+8√2
Answer» Find the common difference of the following arithmetic progression. $3 + 2 \sqrt{2}, 3 + 4 \sqrt{2}, 3 + 6 \sqrt{2}, 3 + 8 \sqrt{2}$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 26 The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is a) 72∘ b) 144∘ c) 36∘ d) 18∘

Let f be an odd function defined on the real numbers such that f(x)=3sinx+4cosx, for x≥0, then f(x) for x&lt;0 is

Question 22 Increase of a number from 150 to 162 is equal to increase of ___ per cent.

Question 7 A merchant had Rs.78,592 with her. She placed an order for purchasing 40 radio sets at Rs.1,200 each. How much money will remain with her after the purchase?

Question 105 Fill in the blank to make the statement true. The distance between Srinagar and Leh is 422 km. The same distance in metres is .............

Question 123 You are at an elevation 380 m above sea level as you start a motor ride. During the ride, your elevation changes by the following metres 540 m, -268 m, 116 m, -152 m, 490 m, -844 m, 94 m. What is your elevation relative to the sea level at the end of the ride?

Mt. Everest is at a height of 8850m. Its base is at an elevation of 5400m. The temperature here drops at the rate of 1 degree per 10 metres. If the temperature at the base is -5°C. What is the temperature of the top?

What number is to be added to the polynomial x2 -5x+4 so that 5is zero of the polynomial?

The radius and height of a right circular cone are in the ratio 3:4. Then the ratio of total surface area of the cone to its curved surface area is

In △ PQR, right angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of cos R.

For the given set of numbers, find the median: 4, 12, 11, 5, 15, 27, 47, 75, 81, 35

If the angle between 2 radii of a circle is 140°, then the angle between the tangents at the ends of the radii is?

the lateral surface area of a cylinder is equal to the curved surface area of a cone if the radius be same.find the radius of the height of cylinder and slant height of cone?

Which of the following are quadratic equations: ​​​​​​​ 1}x^2+1/x^2=x^2 ; (x#0) 2}x^2+1/ x^2=2 ; (x#0) ​​​​​​​3}7x=2x^3

A number is obtained by reversing it's original number is 12.t hen find the number?

In the figure given above, PA and PB are tangents to the circle from point P. How many real values of x exist such that the length of PA is x and length of PB is x2+1?

How many of the following statements are true about the identity function. Mention the correct number of statement(s). (a) It's graph is shown above. (b) Domain is R (c) Range is R (d) Its an even function ___

Solve the quadratic equation by factorization : 16x-10÷x=27

Prove that sin A - cos A +1\sin A +cos A -1= 1\sec A - tan A, using the identity sec2A=1+tan2A.

If 1 is the root of equation ay^2+at+3=0 and y^2+y+b=0. Find 'a' and 'b'. Thankyou

Find the area of right angled triangle if the radius of its circum-circle is 5cm and the altitude drawn to the hypotenuse is 4cm

Find the greatest number of six digit exactly divisible by 18 , 24 and 36.(with steps)

If a polynomial of degree 8 is divided by polynomial of degree 5 then find the degree of the remainder

Sam buys shares of a company at Rs 90 and sells them when the price becomes Rs 30 below par. What will be his loss if he invested Rs 4050?

Which of the following should be the LAST sentence after rearrangement?

Find the four numbers in AP whose sum is 20 and their product is 384.

If one of the zeroes of the cubic polynomial x 3 + ax 2 + bx + c is -1, then the product of the other two zeroes is

Find the roots of quadratic equation correct to two decimal places. 2x2−10x+5=0

If the sum of the squares of a and b is the same as the square of c and if m &lt; n, then for what value of k can the Pythagorean triples be generated with the following equations?

Draw two intersecting lines to include an angle of 30∘. Use ruler and compass to locate points which are equidistant from these lines and also 2 cm away from their point of intersection. How many such points exist?

Find a20 of a geometric sequence if the first few terms of the sequence are given by −12,14,−18,116,⋯

The mth term of an A.P is ′n′ and nth term is ′m′. Then (m+n)th term of it is

In the adjoining figure, PQ II BC. What is the value of x

The cost of 194 m of wire is Rs.1712. Find the cost of one meter of wire in Rs.___

Question 1 (ii) In Δ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine: (ii) sin C, cos C

A deposit which can be withdrawn by the depositor at any time by means of a cheque is called

In an entrance exam there were four sections of 50 marks each. Marks secured by Satyam in each section is shown below:−SubjectAptitudeGeneral MathematicsGeneral AwarenessEnglishMarks45403540 What is the percentage marks scored by Satyam in each section?

A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment. [3 MARKS]

The hypotenuse of a right angled triangle is 10 cm and the radius of the inscribed circle is 1 cm. The perimeter of the triangle is:

How many prime numbers lie between 115 and 122?

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

Find the standard deviation for the following data. xi38131823fi71015106

In a class test, the sum of Shefali's marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.

Whats the point that is on a x = 5 and has ordinate as -3

If the angle of the top of the 200 m high tower from a point C on the ground is 300. The distance of the point C from the foot of the tower is (Take √3 = 1.732 )

If the points A(x, 2), B (-3,-4) and C (7, -5) are collinear, then the value of x is:

Find the roots of the equation 5x2−6x−2=0 by completing the square method.

What is the probability of getting the sum as 11 when a pair of dice is rolled?

Find the common difference of the following arithmetic progression. 3+2√2, 3+4√2, 3+6√2, 3+8√2

Let f be an odd function defined on the real numbers such that f(x)=3sinx+4cosx, for x≥0, then f(x) for x<0 is

Which of the following are quadratic equations: 1}x^2+1/x^2=x^2 ; (x#0) 2}x^2+1/ x^2=2 ; (x#0) 3}7x=2x^3

If the sum of the squares of a and b is the same as the square of c and if m < n, then for what value of k can the Pythagorean triples be generated with the following equations?