25365 + Interview Questions in Mathematics

1.	Cities A,B and C are at a distance of 45 km, 50 km and 55 km respectively from Raghu's home. He observed that he can cover 2 km in 10 minutes on his cycle. If he has 4 hours time limit, which city he can reach on cycle if he travels at observed speed?
Answer» Cities A,B and C are at a distance of 45 km, 50 km and 55 km respectively from Raghu's home. He observed that he can cover 2 km in 10 minutes on his cycle. If he has 4 hours time limit, which city he can reach on cycle if he travels at observed speed?

Discussion

2.	The value of (A ∪ B ∪ C) ∩ (A ∩ Bc ∩ Cc)c ∩ Cc, is
Answer» The value of (A ∪ B ∪ C) ∩ (A ∩ Bc ∩ Cc)c ∩ Cc, is

Discussion

3.	8 pumps can fill a tank in 20 mins. How much time will it take to fill the tank if only 5 of them are engaged?
Answer» 8 pumps can fill a tank in 20 mins. How much time will it take to fill the tank if only 5 of them are engaged?

Discussion

4.	The average of five consecutive even numbers is 54. What is the difference between the highest and lowest numbers?
Answer» The average of five consecutive even numbers is $54$ . What is the difference between the highest and lowest numbers?

Discussion

5.	In a right angled triangle, if one of the other two angles is 35°, find the remaining angle.
Answer» In a right angled triangle, if one of the other two angles is 35°, find the remaining angle.

Discussion

6.	In a two-dimensional plane, how many pieces of data do we need to locate a point ___?
Answer» In a two-dimensional plane, how many pieces of data do we need to locate a point ___?

Discussion

7.	In ∆ABC and ∆DEF, it is given that ∠B = ∠E and ∠C = ∠F. In order that ∆ABC ≅ ∆DEF, we must have(a) AB = DF(b) AC = DE(c) BC = EF(d) ∠A = ∠D
Answer» In ∆ABC and ∆DEF, it is given that ∠B = ∠E and ∠C = ∠F. In order that ∆ABC ≅ ∆DEF, we must have (a) AB = DF (b) AC = DE (c) BC = EF (d) ∠A = ∠D

Discussion

8.	If in two triangles ABC and PQR, ABQR=BCPR=CAPQ, then ∆PQR ~ __________.
Answer» If in two triangles ABC and PQR, $\frac{A B}{Q R} = \frac{B C}{P R} = \frac{C A}{P Q}, then ∆ P Q R ~$ __________.

Discussion

9.	Look at the histogram given below and answer the question that follow:(i) What information is being given by the histogram?(ii) How many teachers are of age less than 45 years?(iii) How many teachers are of age 40 years or more but less than 55 years?
Answer» Look at the histogram given below and answer the question that follow: (i) What information is being given by the histogram? (ii) How many teachers are of age less than 45 years? (iii) How many teachers are of age 40 years or more but less than 55 years?

Discussion

10.	What are the coordinates of the midpoint joining the points A(x1,y1) and B(x2,y2)?
Answer» What are the coordinates of the midpoint joining the points $A (x_{1}, y_{1})$ and $B (x_{2}, y_{2})$ ?

Discussion

11.	Given that the circle is inscribed in the given square,what is the ratio of the area of the circle to the area of the square?
Answer» Given that the circle is inscribed in the given square,what is the ratio of the area of the circle to the area of the square?

Discussion

12.	A sum of money is put at compound interest for 2 years at 20% p.a. It would fetch ₹ 482 more, if the interest were payable half-yearly, than if it were payable yearly. Find the sum.
Answer» A sum of money is put at compound interest for 2 years at $20 %$ p.a. It would fetch ₹ 482 more, if the interest were payable half-yearly, than if it were payable yearly. Find the sum.

Discussion

13.	Find the length of each side of a square whose area is equal to the area of a rectangle of length 13.6 metres and breadth 3.4 metres.
Answer» Find the length of each side of a square whose area is equal to the area of a rectangle of length 13.6 metres and breadth 3.4 metres.

Discussion

14.	In figure P, Q are points on sides AB and AC respectively of ∆ABC such that ar (BCQ) = ar (BCP). Then,
Answer» In figure P, Q are points on sides AB and AC respectively of ∆ABC such that ar (BCQ) = ar (BCP). Then,

14.

In figure P, Q are points on sides AB and AC respectively of ∆ABC such that ar (BCQ) = ar (BCP). Then,

Answer»

In figure P, Q are points on sides AB and AC respectively of ∆ABC such that

ar (BCQ) = ar (BCP). Then,

Discussion

15.	The length, breadth and height of a cuboid are in the ratio 5:3:2. If its volume is 35.937 m3, find its dimension. Also find the total surface area of the cuboid.
Answer» The length, breadth and height of a cuboid are in the ratio 5:3:2. If its volume is 35.937 m³, find its dimension. Also find the total surface area of the cuboid.

Discussion

16.	If the angles of a triangle are 45°, 45° and 90°, then the triangle is ___.
Answer» If the angles of a triangle are 45°, 45° and 90°, then the triangle is ___.

Discussion

17.	a2 - 2ab + b2 =
Answer» a² - 2ab + b² =

Discussion

18.	Commutative law of addition is
Answer» Commutative law of addition is

Discussion

19.	Question 44When the speed is kept fixed, time and distance vary inversely with each other.
Answer» Question 44 When the speed is kept fixed, time and distance vary inversely with each other.

19.

Question 44When the speed is kept fixed, time and distance vary inversely with each other.

Answer»

Question 44

When the speed is kept fixed, time and distance vary inversely with each other.

Discussion

20.	Number of critical points of f(x)=x4e−x2 is
Answer» Number of critical points of $f (x) = x^{4} e^{- x^{2}}$ is

Discussion

21.	Solve: 33−23
Answer» Solve: $3^{3} - 2^{3}$

Discussion

22.	5.A number when divided by 342 gives a remainder 47. When the same number is divided by 19, what would be the remainder?
Answer» 5.A number when divided by 342 gives a remainder 47. When the same number is divided by 19, what would be the remainder?

Discussion

23.	43.Find the value of H
Answer» 43.Find the value of H

Discussion

24.	A rectangular hall is 22m lomg and 15.5 m broad. A carpet laid inside the hall leaving all around a margin of 75 cm from the walls .Find the area of the carpet and the area of the strip left uncovered.If the width of the carpet is 82 cm , find its cost at the rate of 14.50 Rs. Ans.287 m square ,54 m sq.,43400 Rs
Answer» A rectangular hall is 22m lomg and 15.5 m broad. A carpet laid inside the hall leaving all around a margin of 75 cm from the walls .Find the area of the carpet and the area of the strip left uncovered.If the width of the carpet is 82 cm , find its cost at the rate of 14.50 Rs. Ans.287 m square ,54 m sq.,43400 Rs

Discussion

25.	Find x in the following figures:
Answer» Find x in the following figures:

Discussion

26.	ABCD is a rhombus such that ∠ACB = 40°. Then ∠ADB = _________.
Answer» ABCD is a rhombus such that ∠ACB = 40°. Then ∠ADB = _________.

Discussion

27.	Vivaan bought a new watch for ₹6590 and then sold it to Rehaan for ₹5690. What will be the difference between the two amounts will be called for Vivaan.
Answer» Vivaan bought a new watch for ₹6590 and then sold it to Rehaan for ₹5690. What will be the difference between the two amounts will be called for Vivaan.

Discussion

28.	Question 5(b)Add : 2x (z - x - y ) and 2y (z - y - x)
Answer» Question 5(b) Add : 2x (z - x - y ) and 2y (z - y - x)

Discussion

29.	67. If the density of a certain gas at 30degree Celsius and 768torr is 1.38kg/m3 it's density at STP would
Answer» 67. If the density of a certain gas at 30degree Celsius and 768torr is 1.38kg/m3 it's density at STP would

Discussion

30.	Question 95 Solve the following question: Write the Pythagorean triplet whose one of the numbers is 4.
Answer» Question 95 Solve the following question: Write the Pythagorean triplet whose one of the numbers is 4.

30.

Question 95 Solve the following question: Write the Pythagorean triplet whose one of the numbers is 4.

Answer»

Question 95

Solve the following question:

Write the Pythagorean triplet whose one of the numbers is 4.

Discussion

31.	If 5-32+3=x+y3, then(a) x = 13, y = −7(b) x = −13, y = 7(c) x = −13, y = −7(d) x = 13, y = 7
Answer» If $\frac{5 - \sqrt{3}}{2 + \sqrt{3}} = x + y \sqrt{3}$ , then (a) x = 13, y = −7 (b) x = −13, y = 7 (c) x = −13, y = −7 (d) x = 13, y = 7

Discussion

32.	When the successive term in a numerical pattern is formed by adding a (constant/ non-constant) value to the previous term, an arithmetic sequence is obtained.
Answer» When the successive term in a numerical pattern is formed by adding a (constant/ non-constant) value to the previous term, an arithmetic sequence is obtained.

Discussion

33.	Who discovered the subtraction?
Answer» Who discovered the subtraction?

Discussion

34.	Pipe A can fill the tank in 2 hours and pipe B can fill the tank in 3 hours. If both the pipes are open, in how many hours will the tank be filled?
Answer» Pipe A can fill the tank in 2 hours and pipe B can fill the tank in 3 hours. If both the pipes are open, in how many hours will the tank be filled?

Discussion

35.	The lower limit of a class interval 142.5 - 147.5 is ______ .
Answer» The lower limit of a class interval 142.5 - 147.5 is ______ .

Discussion

36.	Find the amount and the compound interest on Rs. 4000 in 2 years, if the rate of interest for first year is 10% and for the second year is 15%.
Answer» Find the amount and the compound interest on Rs. 4000 in 2 years, if the rate of interest for first year is 10% and for the second year is 15%.

Discussion

37.	The value of (1012)2 is equal to
Answer» The value of ${(10 \frac{1}{2})}^{2}$ is equal to

Discussion

38.	Coefficient of y in the term −y9 is:
Answer» Coefficient of $y$ in the term $- \frac{y}{9}$ is:

Discussion

39.	Find the value of angle X.
Answer» Find the value of angle X.

39.

Find the value of angle X.

Answer»

Find the value of angle X.

Discussion

40.	Factorise by grouping method: a2x2+(ax2+1)x+a
Answer» Factorise by grouping method: $a^{2} x^{2} + (a x^{2} + 1) x + a$

40.

Factorise by grouping method: a2x2+(ax2+1)x+a

Answer»

Factorise by grouping method:

$a^{2} x^{2} + (a x^{2} + 1) x + a$

Discussion

41.	When 7xy+5yz−3zx, 4yz+9zx−4y and −3xz+5x−2xy are added, we get
Answer» When $7 x y + 5 y z - 3 z x$ , $4 y z + 9 z x - 4 y$ and $- 3 x z + 5 x - 2 x y$ are added, we get

Discussion

42.	Factorize the following : 20x3−40x2+80x
Answer» Factorize the following : $20 x^{3} - 40 x^{2} + 80 x$

42.

Factorize the following : 20x3−40x2+80x

Answer»

Factorize the following :

$20 x^{3} - 40 x^{2} + 80 x$

Discussion

43.	ABC+ABC+ABC=BBB Find A,B ,C With proper method.
Answer» ABC+ABC+ABC=BBB Find A,B ,C With proper method.

43.

ABC+ABC+ABC=BBB Find A,B ,C With proper method.

Answer»

ABC+ABC+ABC=BBB

Find A,B ,C

With proper method.

Discussion

44.	A parallelogram has sides of 15 cm and 12 cm. If the distance between the 15 cm sides is 6 cm, find the distance between 12 cm sides.
Answer» A parallelogram has sides of 15 cm and 12 cm. If the distance between the 15 cm sides is 6 cm, find the distance between 12 cm sides.

Discussion

45.	A shopkeeper fixes the MP of an item 35% above its CP. The percentage of discount allowed to gain 8% is ?
Answer» A shopkeeper fixes the MP of an item 35% above its CP. The percentage of discount allowed to gain 8% is ?

Discussion

46.	a= √2-√3/√2+√3 find value of a+1/a
Answer» a= √2-√3/√2+√3 find value of a+1/a

Discussion

47.	Question 83 (xv) Multiply the following: (a2−b2),(a2+b2)
Answer» Question 83 (xv) Multiply the following: $(a^{2} - b^{2}), (a^{2} + b^{2})$

Discussion

48.	If the selling price of a flower vase is 45of its cost price, find the loss per cent.
Answer» $If the selling price of a flower vase is \frac{4}{5} of its cost price, find the loss per cent.$

Discussion

49.	What is the value of (166)2?
Answer» What is the value of $(166)^{2}$ ?

Discussion

50.	Evaluate: √1.69
Answer» Evaluate: $\sqrt{1.69}$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Cities A,B and C are at a distance of 45 km, 50 km and 55 km respectively from Raghu's home. He observed that he can cover 2 km in 10 minutes on his cycle. If he has 4 hours time limit, which city he can reach on cycle if he travels at observed speed?

The value of (A ∪ B ∪ C) ∩ (A ∩ Bc ∩ Cc)c ∩ Cc, is

8 pumps can fill a tank in 20 mins. How much time will it take to fill the tank if only 5 of them are engaged?

The average of five consecutive even numbers is 54. What is the difference between the highest and lowest numbers?

In a right angled triangle, if one of the other two angles is 35°, find the remaining angle.

In a two-dimensional plane, how many pieces of data do we need to locate a point ___?

In ∆ABC and ∆DEF, it is given that ∠B = ∠E and ∠C = ∠F. In order that ∆ABC ≅ ∆DEF, we must have(a) AB = DF(b) AC = DE(c) BC = EF(d) ∠A = ∠D

If in two triangles ABC and PQR, ABQR=BCPR=CAPQ, then ∆PQR ~ __________.

Look at the histogram given below and answer the question that follow:(i) What information is being given by the histogram?(ii) How many teachers are of age less than 45 years?(iii) How many teachers are of age 40 years or more but less than 55 years?

What are the coordinates of the midpoint joining the points A(x1,y1) and B(x2,y2)?

Given that the circle is inscribed in the given square,what is the ratio of the area of the circle to the area of the square?

A sum of money is put at compound interest for 2 years at 20% p.a. It would fetch ₹ 482 more, if the interest were payable half-yearly, than if it were payable yearly. Find the sum.

Find the length of each side of a square whose area is equal to the area of a rectangle of length 13.6 metres and breadth 3.4 metres.

In figure P, Q are points on sides AB and AC respectively of ∆ABC such that ar (BCQ) = ar (BCP). Then,

The length, breadth and height of a cuboid are in the ratio 5:3:2. If its volume is 35.937 m3, find its dimension. Also find the total surface area of the cuboid.

If the angles of a triangle are 45°, 45° and 90°, then the triangle is ___.

a2 - 2ab + b2 =

Commutative law of addition is

Question 44When the speed is kept fixed, time and distance vary inversely with each other.

Number of critical points of f(x)=x4e−x2 is

Solve: 33−23

5.A number when divided by 342 gives a remainder 47. When the same number is divided by 19, what would be the remainder?

43.Find the value of H

Find x in the following figures:

ABCD is a rhombus such that ∠ACB = 40°. Then ∠ADB = _________.

Vivaan bought a new watch for ₹6590 and then sold it to Rehaan for ₹5690. What will be the difference between the two amounts will be called for Vivaan.

Question 5(b)Add : 2x (z - x - y ) and 2y (z - y - x)

67. If the density of a certain gas at 30degree Celsius and 768torr is 1.38kg/m3 it's density at STP would

Question 95 Solve the following question: Write the Pythagorean triplet whose one of the numbers is 4.

If 5-32+3=x+y3, then(a) x = 13, y = −7(b) x = −13, y = 7(c) x = −13, y = −7(d) x = 13, y = 7

When the successive term in a numerical pattern is formed by adding a (constant/ non-constant) value to the previous term, an arithmetic sequence is obtained.

Who discovered the subtraction?

Pipe A can fill the tank in 2 hours and pipe B can fill the tank in 3 hours. If both the pipes are open, in how many hours will the tank be filled?

The lower limit of a class interval 142.5 - 147.5 is ______ .

Find the amount and the compound interest on Rs. 4000 in 2 years, if the rate of interest for first year is 10% and for the second year is 15%.

The value of (1012)2 is equal to

Coefficient of y in the term −y9 is:

Find the value of angle X.

Factorise by grouping method: a2x2+(ax2+1)x+a

When 7xy+5yz−3zx, 4yz+9zx−4y and −3xz+5x−2xy are added, we get

Factorize the following : 20x3−40x2+80x

ABC+ABC+ABC=BBB Find A,B ,C With proper method.

A parallelogram has sides of 15 cm and 12 cm. If the distance between the 15 cm sides is 6 cm, find the distance between 12 cm sides.

A shopkeeper fixes the MP of an item 35% above its CP. The percentage of discount allowed to gain 8% is ?

a= √2-√3/√2+√3 find value of a+1/a

Question 83 (xv) Multiply the following: (a2−b2),(a2+b2)

If the selling price of a flower vase is 45of its cost price, find the loss per cent.

What is the value of (166)2?

Evaluate: √1.69