25365 + Interview Questions in Mathematics

1.	A defective briefcase costing Rs. 800 is being sold at a loss of 8%. If the price is further reduced by 5%, find its selling price.
Answer» A defective briefcase costing Rs. 800 is being sold at a loss of 8%. If the price is further reduced by 5%, find its selling price.

Discussion

2.	34 is ______ number
Answer» 34 is ______ number

Discussion

3.	The square of a number is 64. What is the cube root of that number?
Answer» The square of a number is 64. What is the cube root of that number?

Discussion

4.	If the prime factorization of a number is 3x3x3x5x5x5, then its cube root is:
Answer» If the prime factorization of a number is 3x3x3x5x5x5, then its cube root is:

Discussion

5.	Find the value of x, if x=45(x+10).
Answer» Find the value of x, if $x = \frac{4}{5} (x + 10)$ .

Discussion

6.	In the following figure, a rectangle ABCD enclosed three circles. If BC =14 cm, find the area of the shaded portion (Take π=317)
Answer» In the following figure, a rectangle ABCD enclosed three circles. If BC =14 cm, find the area of the shaded portion (Take $π = 3 \frac{1}{7})$

6.

In the following figure, a rectangle ABCD enclosed three circles. If BC =14 cm, find the area of the shaded portion (Take π=317)

Answer»

In the following figure, a rectangle ABCD enclosed three circles. If BC =14 cm, find the area of the shaded portion (Take $π = 3 \frac{1}{7})$

Discussion

7.	Construction of triangle ABC where perimeter =12cm and ratio of sides is 2:3:4 are given, is given below. Relation between AB and BX is :
Answer» Construction of triangle ABC where perimeter =12cm and ratio of sides is 2:3:4 are given, is given below. Relation between AB and BX is :

Discussion

8.	Factorise x2+8x+16.
Answer» Factorise $x^{2} + 8 x + 16$ .

Discussion

9.	Raju sells a watch at 5% profit. Had he sold it for Rs.24 more; he would have gained 11%. Find the cost price of the watch.
Answer» Raju sells a watch at 5% profit. Had he sold it for Rs.24 more; he would have gained 11%. Find the cost price of the watch.

Discussion

10.	A trader marks up a product by 20%. If he sells it at a discount of 15%, his net gain percentage is,
Answer» A trader marks up a product by $20 %$ . If he sells it at a discount of $15 %$ , his net gain percentage is,

Discussion

11.	If you have AB = 3 cm, BC = 4 cm, CD = 5 cm & and DA = 6 cm, can you draw the quadrilateral ABCD? If you can, will this quadrilateral be unique?
Answer» If you have AB = 3 cm, BC = 4 cm, CD = 5 cm & and DA = 6 cm, can you draw the quadrilateral ABCD? If you can, will this quadrilateral be unique?

Discussion

12.	Find the cube-roots of: (i) -216 (ii) -512 (iiii) -1331 (iv) −27125 (v) −64343 (vi) −512343 (vii) -2197 (viii) -5832 (ix) -2744000
Answer» Find the cube-roots of: (i) -216 (ii) -512 (iiii) -1331 (iv) $- \frac{27}{125}$ (v) $\frac{- 64}{343}$ (vi) $- \frac{512}{343}$ (vii) -2197 (viii) -5832 (ix) -2744000

12.

Find the cube-roots of: (i) -216 (ii) -512 (iiii) -1331 (iv) −27125 (v) −64343 (vi) −512343 (vii) -2197 (viii) -5832 (ix) -2744000

Answer»

Find the cube-roots of:

(i) -216 (ii) -512 (iiii) -1331

(iv) $- \frac{27}{125}$ (v) $\frac{- 64}{343}$ (vi) $- \frac{512}{343}$

(vii) -2197 (viii) -5832 (ix) -2744000

Discussion

13.	Directions:- Study the following information carefully to answer the question given below. Twelve persons are sitting in two parallel rows containing six persons each, in such a way that there is an equal distance between adjacent persons. In Row-I A, B, C, D, E and F are seated (but not necessarily in the same order) and all of them are facing south. In Row-2, P, Q, R, S, T and U are seated (but not necessarily in the same order) and all of them are facing north. Therefore, in the given sitting arrangement each person seated in a row faces another person of the other row. S sits third to the right of R. S does not sit at an extreme end. Two persons sit between P and Q. T sits third to the left of U. R is not an immediate neighbour of U. F sits third to the right of D. C does not sit at any extreme end. One person sits between B and D. D sits second to the left of C. C is not an immediate neighbour of B and A. What is the position of A with respect to E?
Answer» Directions:- Study the following information carefully to answer the question given below. Twelve persons are sitting in two parallel rows containing six persons each, in such a way that there is an equal distance between adjacent persons. In Row-I A, B, C, D, E and F are seated (but not necessarily in the same order) and all of them are facing south. In Row-2, P, Q, R, S, T and U are seated (but not necessarily in the same order) and all of them are facing north. Therefore, in the given sitting arrangement each person seated in a row faces another person of the other row. S sits third to the right of R. S does not sit at an extreme end. Two persons sit between P and Q. T sits third to the left of U. R is not an immediate neighbour of U. F sits third to the right of D. C does not sit at any extreme end. One person sits between B and D. D sits second to the left of C. C is not an immediate neighbour of B and A. What is the position of A with respect to E?

Discussion

14.	Question 1(i) Using appropriate properties find: $-\frac{2}{3}\times \frac{3}{5}+\frac{5}{2}-\frac{3}{5}\times \frac{1}{6}$
Answer» Question 1(i) Using appropriate properties find: $-\frac{2}{3}\times \frac{3}{5}+\frac{5}{2}-\frac{3}{5}\times \frac{1}{6}$

Discussion

15.	Four curves i.e. a) y=x3 b) y=x7 c) y=x2 d) y=x6 are depicted in the following graph. Which polynomial is represented by Graph 4?
Answer» Four curves i.e. a) $y = x^{3}$ b) $y = x^{7}$ c) $y = x^{2}$ d) $y = x^{6}$ are depicted in the following graph. Which polynomial is represented by Graph 4?

Discussion

16.	The cost of furniture inclusive of VAT is Rs. 7,150. If the rate of VAT is 10%, find the original cost of the furniture.
Answer» The cost of furniture inclusive of VAT is Rs. 7,150. If the rate of VAT is $10 %$ , find the original cost of the furniture.

Discussion

17.	Construct a rectangle PQRS in which QR = 3.6 cm and diagonal PR = 6 cm. Measure the other side of the rectangle.
Answer» Construct a rectangle PQRS in which QR = 3.6 cm and diagonal PR = 6 cm. Measure the other side of the rectangle.

Discussion

18.	In division algorithm when should we stop the division process? 1. When the remainder is zero. 2. When the degree of the remainder is less than the degree of the divisor. 3. When the degree of the quotient is less than the degree of the divisor.
Answer» In division algorithm when should we stop the division process? 1. When the remainder is zero. 2. When the degree of the remainder is less than the degree of the divisor. 3. When the degree of the quotient is less than the degree of the divisor.

Discussion

19.	Factorise: 2x+4y−8xy−1
Answer» Factorise: $2 x + 4 y - 8 x y - 1$

Discussion

20.	A retailer buys a cooler for Rs. 1200 and overhead expenses on it are Rs. 40. If he sells the cooler for Rs. 1550, determine his profit percent.
Answer» A retailer buys a cooler for Rs. 1200 and overhead expenses on it are Rs. 40. If he sells the cooler for Rs. 1550, determine his profit percent.

Discussion

21.	Which of the following is not a property of a parallelogram?
Answer» Which of the following is not a property of a parallelogram?

Discussion

22.	Write down steps required for construction of number line.
Answer» Write down steps required for construction of number line.

Discussion

23.	Seven animals are standing in a horizontal row one behind the other. How do we find the position of the animal, three positions before the last animal?
Answer» Seven animals are standing in a horizontal row one behind the other. How do we find the position of the animal, three positions before the last animal?

Discussion

24.	What is the cube root of 110592?
Answer» What is the cube root of 110592?

Discussion

25.	What must be subtracted from x3−3x2+5x−1 to get 2x3+x2−4x+2?
Answer» What must be subtracted from $x^{3} - 3 x^{2} + 5 x - 1$ to get $2 x^{3} + x^{2} - 4 x + 2$ ?

Discussion

26.	Construct a quadrilateral MIST where MI = 3.5 cm, IS = 6.5 cm, Angle M = 75∘, Angle I = 105∘ and Angle S = 120∘.
Answer» Construct a quadrilateral MIST where MI = 3.5 cm, IS = 6.5 cm, Angle M = $75^{\circ}$ , Angle I = $105^{\circ}$ and Angle S = $120^{\circ}$ .

Discussion

27.	A conical tomb is made up of bricks each of a front surface area of 5 square meters.The slant height and radius of the tomb are measured to be 25 m and 7 m respectively. The approximate no. of bricks made used to construct the tomb are ___ (Take π=227)
Answer» A conical tomb is made up of bricks each of a front surface area of 5 square meters.The slant height and radius of the tomb are measured to be 25 m and 7 m respectively. The approximate no. of bricks made used to construct the tomb are ___ (Take $π = \frac{22}{7}$ )

Discussion

28.	Solve : 2x3−x−16+7x−14=216. Hence, find the value of 'a', if 1a+5x=8.
Answer» Solve : $\frac{2 x}{3} - \frac{x - 1}{6} + \frac{7 x - 1}{4} = 2 \frac{1}{6} .$ Hence, find the value of 'a', if $\frac{1}{a} + 5 x = 8.$

28.

Solve : 2x3−x−16+7x−14=216. Hence, find the value of 'a', if 1a+5x=8.

Answer»

Solve : $\frac{2 x}{3} - \frac{x - 1}{6} + \frac{7 x - 1}{4} = 2 \frac{1}{6} .$

Hence, find the value of 'a', if $\frac{1}{a} + 5 x = 8.$

Discussion

29.	If a die is thrown 50 times and 8 times a six appears, then the probability of getting a six is
Answer» If a die is thrown 50 times and 8 times a six appears, then the probability of getting a six is

Discussion

30.	The area of parallelogram ABCD is 90 cm2. Find the area of Δ ABD.
Answer» The area of parallelogram ABCD is 90 $c m^{2}$ . Find the area of $Δ$ ABD.

30.

The area of parallelogram ABCD is 90 cm2. Find the area of Δ ABD.

Answer»

The area of parallelogram ABCD is 90 $c m^{2}$ . Find the area of $Δ$ ABD.

Discussion

31.	Please help me fast
Answer» Please help me fast

Discussion

32.	I have a certain number of chocolates. My friend has 4 more than twice the number of chocolates I have. Which of the following equations depicts the relation between the number of chocolates with me and my friend? (x - no. of chocolates I have, and y - no. of chocolates my friend has)
Answer» I have a certain number of chocolates. My friend has 4 more than twice the number of chocolates I have. Which of the following equations depicts the relation between the number of chocolates with me and my friend? ( $x$ - no. of chocolates I have, and $y$ - no. of chocolates my friend has)

Discussion

33.	The smallest surface area of a cuboid made up of 12.1cm3 will be?
Answer» The smallest surface area of a cuboid made up of $12.1 c m^{3}$ will be?

Discussion

34.	Question 2 (ii) The following number is obviously not a perfect square. Give reasons. 23453
Answer» Question 2 (ii) The following number is obviously not a perfect square. Give reasons. 23453

34.

Question 2 (ii) The following number is obviously not a perfect square. Give reasons. 23453

Answer»

Question 2 (ii)

The following number is obviously not a perfect square. Give reasons.

23453

Discussion

35.	Question 83(ii) The points on the graph below represent the height and weight of the donkey, dog, crocodile and ostrich shown in the drawing. Which point represents each animal? Explain.
Answer» Question 83(ii) The points on the graph below represent the height and weight of the donkey, dog, crocodile and ostrich shown in the drawing. Which point represents each animal? Explain.

Discussion

36.	Simplification of (32) х 75 + (110) х 32 – (62) х (15) is
Answer» Simplification of ( $\frac{3}{2}$ ) х $\frac{7}{5}$ + ( $\frac{1}{10}$ ) х $\frac{3}{2}$ – ( $\frac{6}{2}$ ) х ( $\frac{1}{5}$ ) is

Discussion

37.	Question 36 In the question given below, fill in the blanks to make the statement true: a(b+c)=a× ___ + a× ___
Answer» Question 36 In the question given below, fill in the blanks to make the statement true: $a (b + c) = a \times$ ___ $+ a \times$ ___

Discussion

38.	Evaluate: (i) (38)2−(37)2 (ii) (75)2−(74)2 (iii) (92)2−(91)2 (iv) (105)2−(104)2 (v) (141)2−(140)2 (vi) (218)2−(217)2
Answer» Evaluate: (i) $(38)^{2} - (37)^{2}$ (ii) $(75)^{2} - (74)^{2}$ (iii) $(92)^{2} - (91)^{2}$ (iv) $(105)^{2} - (104)^{2}$ (v) $(141)^{2} - (140)^{2}$ (vi) $(218)^{2} - (217)^{2}$

Discussion

39.	A cuboid shaped bank locker has length, breadth and height as 50 cm, 50 cm and 2 m respectively.It has to be secured by touch sensor system which is done at Rs. 5 per 100 sq. cm. The total cost of security arrangement is:
Answer» A cuboid shaped bank locker has length, breadth and height as 50 cm, 50 cm and 2 m respectively.It has to be secured by touch sensor system which is done at Rs. 5 per 100 sq. cm. The total cost of security arrangement is:

Discussion

40.	Solve: x2−15=x3+14
Answer» Solve: $\frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}$

Discussion

41.	Find the least number which must be substracted from 1989 to make it a perfect square. Also the square root of the perfect numbers , so obtained ?
Answer» Find the least number which must be substracted from 1989 to make it a perfect square. Also the square root of the perfect numbers , so obtained ?

Discussion

42.	If a = 2^p × 3^q × 5^r and b = p^2 × q^3 × r^5 , where p, q and r are primes, find the value of p + q + r, given that a = b.
Answer» If a = 2^p × 3^q × 5^r and b = p^2 × q^3 × r^5 , where p, q and r are primes, find the value of p + q + r, given that a = b.

Discussion

43.	Two angles of a quadrilateral are 72° and 56° respectively and the remaining two angles are in the ratio 3:5 . Find the measure of each angle of the quadrilateral.
Answer» Two angles of a quadrilateral are 72° and 56° respectively and the remaining two angles are in the ratio 3:5 . Find the measure of each angle of the quadrilateral.

Discussion

44.	Question 39 In the question given below, fill in the blank to make the statement true: (a−b)2+ ___ =a2−b2
Answer» Question 39 In the question given below, fill in the blank to make the statement true: $(a - b)^{2} +$ ___ $= a^{2} - b^{2}$

Discussion

45.	Question 1(vi) Find the common factors of the terms 16x3,−4x2,32x
Answer» Question 1(vi) Find the common factors of the terms $16 x^{3}, - 4 x^{2}, 32 x$

Discussion

46.	Question 3(ii) Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube: 128
Answer» Question 3(ii) Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube: 128

Discussion

47.	How are angles classified based on their measure? [3 MARKS]
Answer» How are angles classified based on their measure? [3 MARKS]

Discussion

48.	Parikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many cuboids will he need to form a cube?
Answer» Parikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many cuboids will he need to form a cube?

Discussion

49.	Which kind of symmetry is illustrated in the image below?
Answer» Which kind of symmetry is illustrated in the image below?

49.

Which kind of symmetry is illustrated in the image below?

Answer»

Which kind of symmetry is illustrated in the image below?

Discussion

50.	In △ABC, AB = 3 cm, BC = 2 cm and CA = 2.5 cm. △DEF is similar to △ABC. If EF = 4 cm, then the perimeter of △DEF is -
Answer» In $△$ ABC, AB = 3 cm, BC = 2 cm and CA = 2.5 cm. $△$ DEF is similar to $△$ ABC. If EF = 4 cm, then the perimeter of $△$ DEF is -

50.

In △ABC, AB = 3 cm, BC = 2 cm and CA = 2.5 cm. △DEF is similar to △ABC. If EF = 4 cm, then the perimeter of △DEF is -

Answer»

In $△$ ABC, AB = 3 cm, BC = 2 cm and CA = 2.5 cm. $△$ DEF is similar to $△$ ABC. If EF = 4 cm, then the perimeter of $△$ DEF is -

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

A defective briefcase costing Rs. 800 is being sold at a loss of 8%. If the price is further reduced by 5%, find its selling price.

34 is ______ number

The square of a number is 64. What is the cube root of that number?

If the prime factorization of a number is 3x3x3x5x5x5, then its cube root is:

Find the value of x, if x=45(x+10).

In the following figure, a rectangle ABCD enclosed three circles. If BC =14 cm, find the area of the shaded portion (Take π=317)

Construction of triangle ABC where perimeter =12cm and ratio of sides is 2:3:4 are given, is given below. Relation between AB and BX is :

Factorise x2+8x+16.

Raju sells a watch at 5% profit. Had he sold it for Rs.24 more; he would have gained 11%. Find the cost price of the watch.

A trader marks up a product by 20%. If he sells it at a discount of 15%, his net gain percentage is,

If you have AB = 3 cm, BC = 4 cm, CD = 5 cm &amp; and DA = 6 cm, can you draw the quadrilateral ABCD? If you can, will this quadrilateral be unique?

Find the cube-roots of: (i) -216 (ii) -512 (iiii) -1331 (iv) −27125 (v) −64343 (vi) −512343 (vii) -2197 (viii) -5832 (ix) -2744000

Question 1(i) Using appropriate properties find: \(-\frac{2}{3}\times \frac{3}{5}+\frac{5}{2}-\frac{3}{5}\times \frac{1}{6}\)

Four curves i.e. a) y=x3 b) y=x7 c) y=x2 d) y=x6 are depicted in the following graph. Which polynomial is represented by Graph 4?

The cost of furniture inclusive of VAT is Rs. 7,150. If the rate of VAT is 10%, find the original cost of the furniture.

Construct a rectangle PQRS in which QR = 3.6 cm and diagonal PR = 6 cm. Measure the other side of the rectangle.

In division algorithm when should we stop the division process? 1. When the remainder is zero. 2. When the degree of the remainder is less than the degree of the divisor. 3. When the degree of the quotient is less than the degree of the divisor.

Factorise: 2x+4y−8xy−1

A retailer buys a cooler for Rs. 1200 and overhead expenses on it are Rs. 40. If he sells the cooler for Rs. 1550, determine his profit percent.

Which of the following is not a property of a parallelogram?

Write down steps required for construction of number line.

Seven animals are standing in a horizontal row one behind the other. How do we find the position of the animal, three positions before the last animal?

What is the cube root of 110592?

What must be subtracted from x3−3x2+5x−1 to get 2x3+x2−4x+2?

Construct a quadrilateral MIST where MI = 3.5 cm, IS = 6.5 cm, Angle M = 75∘, Angle I = 105∘ and Angle S = 120∘.

A conical tomb is made up of bricks each of a front surface area of 5 square meters.The slant height and radius of the tomb are measured to be 25 m and 7 m respectively. The approximate no. of bricks made used to construct the tomb are ___ (Take π=227)

Solve : 2x3−x−16+7x−14=216. Hence, find the value of 'a', if 1a+5x=8.

If a die is thrown 50 times and 8 times a six appears, then the probability of getting a six is

The area of parallelogram ABCD is 90 cm2. Find the area of Δ ABD.

Please help me fast

I have a certain number of chocolates. My friend has 4 more than twice the number of chocolates I have. Which of the following equations depicts the relation between the number of chocolates with me and my friend? (x - no. of chocolates I have, and y - no. of chocolates my friend has)

The smallest surface area of a cuboid made up of 12.1cm3 will be?

Question 2 (ii) The following number is obviously not a perfect square. Give reasons. 23453

Question 83(ii) The points on the graph below represent the height and weight of the donkey, dog, crocodile and ostrich shown in the drawing. Which point represents each animal? Explain.

Simplification of (32) х 75 + (110) х 32 – (62) х (15) is

Question 36 In the question given below, fill in the blanks to make the statement true: a(b+c)=a× ___ + a× ___

Evaluate: (i) (38)2−(37)2 (ii) (75)2−(74)2 (iii) (92)2−(91)2 (iv) (105)2−(104)2 (v) (141)2−(140)2 (vi) (218)2−(217)2

A cuboid shaped bank locker has length, breadth and height as 50 cm, 50 cm and 2 m respectively.It has to be secured by touch sensor system which is done at Rs. 5 per 100 sq. cm. The total cost of security arrangement is:

Solve: x2−15=x3+14

Find the least number which must be substracted from 1989 to make it a perfect square. Also the square root of the perfect numbers , so obtained ?

If a = 2^p × 3^q × 5^r and b = p^2 × q^3 × r^5 , where p, q and r are primes, find the value of p + q + r, given that a = b.

Two angles of a quadrilateral are 72° and 56° respectively and the remaining two angles are in the ratio 3:5 . Find the measure of each angle of the quadrilateral.

Question 39 In the question given below, fill in the blank to make the statement true: (a−b)2+ ___ =a2−b2

Question 1(vi) Find the common factors of the terms 16x3,−4x2,32x

Question 3(ii) Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube: 128

How are angles classified based on their measure? [3 MARKS]

Parikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many cuboids will he need to form a cube?

Which kind of symmetry is illustrated in the image below?

In △ABC, AB = 3 cm, BC = 2 cm and CA = 2.5 cm. △DEF is similar to △ABC. If EF = 4 cm, then the perimeter of △DEF is -

If you have AB = 3 cm, BC = 4 cm, CD = 5 cm & and DA = 6 cm, can you draw the quadrilateral ABCD? If you can, will this quadrilateral be unique?

Question 36 In the question given below, fill in the blanks to make the statement true: a(b+c)=a× _ + a× _