25365 + Interview Questions in Mathematics

1.	Question 3(iii) Work out the following divisions 10y(6y+21)÷5(2y+7)
Answer» Question 3(iii) Work out the following divisions $10 y (6 y + 21) \div 5 (2 y + 7)$

Discussion

2.	Question 7 The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 32. Find the rational number.
Answer» Question 7 The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is $\frac{3}{2}$ . Find the rational number.

Discussion

3.	Question 2(vii) Use the identity (x+a)(x+b)=x2+(a+b)x+ab to find the following products: (xyz−4)(xyz−2)
Answer» Question 2(vii) Use the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ to find the following products: $(x y z - 4) (x y z - 2)$

Discussion

4.	Divide the sum of 35 and −12 by the product of −17 and −1.
Answer» Divide the sum of $\frac{3}{5}$ and $\frac{- 1}{2}$ by the product of $\frac{- 1}{7}$ and $- 1$ .

Discussion

5.	Find each of the following products: (x3−y3)×(x2+y2)
Answer» Find each of the following products: $(x^{3} - y^{3}) \times (x^{2} + y^{2})$

5.

Find each of the following products: (x3−y3)×(x2+y2)

Answer»

Find each of the following products:

$(x^{3} - y^{3}) \times (x^{2} + y^{2})$

Discussion

6.	Find the smallest number by which 2560 must be multiplied so that the product is a perfect cube.
Answer» Find the smallest number by which 2560 must be multiplied so that the product is a perfect cube.

Discussion

7.	Factorise: 5x+10y−7(x+2y)2.
Answer» Factorise: $5 x + 10 y - 7 (x + 2 y)^{2} .$

Discussion

8.	Which of the following values of x makes the equation 8x+1 = 3+6x true?
Answer» Which of the following values of x makes the equation 8x+1 = 3+6x true?

Discussion

9.	Divide 150 into three parts, such that the second number is five-sixths of the first and the third Number is four-fifths of the second.
Answer» Divide 150 into three parts, such that the second number is five-sixths of the first and the third Number is four-fifths of the second.

Discussion

10.	The sum of the digits of a number is subtracted from the number, the resulting number is always divisible by:
Answer» The sum of the digits of a number is subtracted from the number, the resulting number is always divisible by:

Discussion

11.	Question 20 Find and correct the errors in the statement: 4x+54x=5
Answer» Question 20 Find and correct the errors in the statement: $\frac{4 x + 5}{4 x} = 5$

Discussion

12.	If Suresh had scored 20 marks in Accounts and 45 marks in Finance, then the marks scored by all six students in internals of these 2 subjects would be (All marks, at all stages of evaluation, have to be integers. So, round off any decimal to the next higher number)
Answer» If Suresh had scored 20 marks in Accounts and 45 marks in Finance, then the marks scored by all six students in internals of these 2 subjects would be (All marks, at all stages of evaluation, have to be integers. So, round off any decimal to the next higher number)

Discussion

13.	In a model of a ship , the mast is 6 cm high, while the mast of the actual ship is 9 m high. Of the length of the shop is 33 m, how long is the model of the ship
Answer» In a model of a ship , the mast is 6 cm high, while the mast of the actual ship is 9 m high. Of the length of the shop is 33 m, how long is the model of the ship

Discussion

14.	Question 124(v) Name the property used in each of the following: 38×1=1×38=38
Answer» Question 124(v) Name the property used in each of the following: $\frac{3}{8} \times 1 = 1 \times \frac{3}{8} = \frac{3}{8}$

Discussion

15.	Question 48 Sate weather the given statement is true or false. If d varies directly as t2, then we can write dt2=k, where k is some constant.
Answer» Question 48 Sate weather the given statement is true or false. If d varies directly as $t^{2}$ , then we can write $d t^{2} = k,$ where k is some constant.

15.

Question 48 Sate weather the given statement is true or false. If d varies directly as t2, then we can write dt2=k, where k is some constant.

Answer»

Question 48

Sate weather the given statement is true or false.

If d varies directly as $t^{2}$ , then we can write $d t^{2} = k,$ where k is some constant.

Discussion

16.	Find the smallest of: 3√4 , 4√5 , 3√8 , 4√7
Answer» Find the smallest of: 3√4 , 4√5 , 3√8 , 4√7

Discussion

17.	The height of triangle ABC is 40 cm and its area is 100 cm2. In triangle ADE, DE = 12BC. If the areas of these triangles are equal then find height of triangle ADE (in cm).80
Answer» The height of triangle ABC is 40 cm and its area is 100 $c m^{2}$ . In triangle ADE, DE = $\frac{1}{2}$ BC. If the areas of these triangles are equal then find height of triangle ADE (in cm). 80

Discussion

18.	If the diagonals of a quadrilateral bisect each other, then it could be
Answer» If the diagonals of a quadrilateral bisect each other, then it could be

Discussion

19.	Mohit invests Rs.8,000 for 3 years at a certain rate of interest, compounded annually. At the end of one year it amounts to Rs. 9,440. Calculate : (i) the rate of interest per annum. (ii) the amount at the end of the second year. (iii) the interest accrued in the third year.
Answer» Mohit invests Rs.8,000 for 3 years at a certain rate of interest, compounded annually. At the end of one year it amounts to Rs. 9,440. Calculate : (i) the rate of interest per annum. (ii) the amount at the end of the second year. (iii) the interest accrued in the third year.

19.

Mohit invests Rs.8,000 for 3 years at a certain rate of interest, compounded annually. At the end of one year it amounts to Rs. 9,440. Calculate : (i) the rate of interest per annum. (ii) the amount at the end of the second year. (iii) the interest accrued in the third year.

Answer»

Mohit invests Rs.8,000 for 3 years at a certain rate of interest, compounded annually. At the end of one year it amounts to Rs. 9,440. Calculate :

(i) the rate of interest per annum.

(ii) the amount at the end of the second year.

(iii) the interest accrued in the third year.

Discussion

20.	Find the least number which must be added to 6203 to obtain a perfect square and its square root. Please explain step by step.
Answer» Find the least number which must be added to 6203 to obtain a perfect square and its square root. Please explain step by step.

Discussion

21.	ABCDEF is made of two equal sized parallelograms BAFE and BCDE. Find area of the shape if the length of the base and altitude of ABFE are 10 cm and 5 cm respectively.
Answer» ABCDEF is made of two equal sized parallelograms BAFE and BCDE. Find area of the shape if the length of the base and altitude of ABFE are 10 cm and 5 cm respectively.

21.

ABCDEF is made of two equal sized parallelograms BAFE and BCDE. Find area of the shape if the length of the base and altitude of ABFE are 10 cm and 5 cm respectively.

Answer»

ABCDEF is made of two equal sized parallelograms BAFE and BCDE. Find area of the shape if the length of the base and altitude of ABFE are 10 cm and 5 cm respectively.

Discussion

22.	Match the following with their factorised form
Answer» Match the following with their factorised form

Discussion

23.	Find the area of hexagon PQRSTU (in m2) in which QN is perpendicular to PS, RL is perpendicular to PS, TM is perpendicular to PS, UO is perpendicular to PS such that PO= 4 m, ON=2 m, NM= 6 m, ML=2 m, LS= 6 m, UO= 6 m, TM= 8 m, QN= 2 m and RL=4 m. ___
Answer» Find the area of hexagon PQRSTU (in $m^{2}$ ) in which QN is perpendicular to PS, RL is perpendicular to PS, TM is perpendicular to PS, UO is perpendicular to PS such that PO= 4 m, ON=2 m, NM= 6 m, ML=2 m, LS= 6 m, UO= 6 m, TM= 8 m, QN= 2 m and RL=4 m. ___

Discussion

24.	Question 3 If 24x is a multiple of 3, where x is a digit, what is the value of x?
Answer» Question 3 If 24x is a multiple of 3, where x is a digit, what is the value of x?

Discussion

25.	Question 49 Answer True/False. a=3 is a solution of the equation 2a−1=5.
Answer» Question 49 Answer True/False. $a = 3$ is a solution of the equation $2 a - 1 = 5$ .

25.

Question 49 Answer True/False. a=3 is a solution of the equation 2a−1=5.

Answer»

Question 49

Answer True/False.

$a = 3$ is a solution of the equation $2 a - 1 = 5$ .

Discussion

26.	Which of the following is the side view of the given figure?
Answer» Which of the following is the side view of the given figure?

Discussion

27.	Three rational numbers between 2 and 3 can be
Answer» Three rational numbers between 2 and 3 can be

Discussion

28.	Question 3 (ii) Can a quadrilateral ABCD be a parallelogram, if: (ii) AB=DC=8 cm, AD=4cm and BC=4.4 cm?
Answer» Question 3 (ii) Can a quadrilateral ABCD be a parallelogram, if: (ii) AB=DC=8 cm, AD=4cm and BC=4.4 cm?

Discussion

29.	What amount is to be repaid on a loan of Rs. 12,000 for 1 and half years at 10% per annum compounded half-yearly?
Answer» What amount is to be repaid on a loan of $R s . 12, 000$ for $1$ and half years at $10 %$ per annum compounded half-yearly?

Discussion

30.	If the sum of three consecutive multiples of 6 is 126, then the third multiple is ___
Answer» If the sum of three consecutive multiples of 6 is 126, then the third multiple is ___

Discussion

31.	Find the value of x. 1)(x3)+(14)=(x2)−(25) 2)0.25(3x−1)=0.05(8x−6) [4 MARKS]
Answer» Find the value of x. $1) (\frac{x}{3}) + (\frac{1}{4}) = (\frac{x}{2}) - (\frac{2}{5})$ $2) 0.25 (3 x - 1) = 0.05 (8 x - 6)$ [4 MARKS]

Discussion

32.	68 + 86 is divisible by:
Answer» 68 + 86 is divisible by:

Discussion

33.	A shopkeeper announces a stock clearance sale by giving a discount of 50% + 50%. If marked price of an article is Rs 1200 then its sale price will be:
Answer» A shopkeeper announces a stock clearance sale by giving a discount of 50% + 50%. If marked price of an article is Rs 1200 then its sale price will be:

Discussion

34.	A man saves Rs. 3,000 every year and invests it at the end of the year at 10% compound interest. Calculate the total amount of his savings at the end of the third year.
Answer» A man saves Rs. 3,000 every year and invests it at the end of the year at 10% compound interest. Calculate the total amount of his savings at the end of the third year.

Discussion

35.	Construction of a unique quadrilateral is possible if we have a minimum measurement of 3 sides and ___included angles. (Answer in numbers)
Answer» Construction of a unique quadrilateral is possible if we have a minimum measurement of 3 sides and ___included angles. (Answer in numbers)

Discussion

36.	Sneha rolls a die. What is the probability of getting a number less than 7?
Answer» Sneha rolls a die. What is the probability of getting a number less than 7?

36.

Sneha rolls a die. What is the probability of getting a number less than 7?

Answer»

Sneha rolls a die. What is the probability of getting a number less than 7?

Discussion

37.	Without actually subtracting, show that 83 - 38 is divisible by 9. [3 MARKS]
Answer» Without actually subtracting, show that 83 - 38 is divisible by 9. [3 MARKS]

Discussion

38.	Find the cube root of 1601613. [3 MARKS]
Answer» Find the cube root of 1601613. [3 MARKS]

Discussion

39.	Find the median of the following set of points in a game: 15, 14, 10, 8, 12, 8, 16
Answer» Find the median of the following set of points in a game: 15, 14, 10, 8, 12, 8, 16

39.

Find the median of the following set of points in a game: 15, 14, 10, 8, 12, 8, 16

Answer»

Find the median of the following set of points in a game:

15, 14, 10, 8, 12, 8, 16

Discussion

40.	Rishi bought a wrist watch for Rs. 2200 and sold it for Rs. 1980. Find the loss and loss percent. [4 MARKS]
Answer» Rishi bought a wrist watch for Rs. 2200 and sold it for Rs. 1980. Find the loss and loss percent. [4 MARKS]

Discussion

41.	Can you draw a unique triangle with any 3 possible measurements of sides or angles?
Answer» Can you draw a unique triangle with any 3 possible measurements of sides or angles?

Discussion

42.	For constructing ΔLMN exactly identical to ΔABC, choose from the options, the measurements required.
Answer» For constructing $Δ$ LMN exactly identical to $Δ$ ABC, choose from the options, the measurements required.

42.

For constructing ΔLMN exactly identical to ΔABC, choose from the options, the measurements required.

Answer»

For constructing $Δ$ LMN exactly identical to $Δ$ ABC, choose from the options, the measurements required.

Discussion

43.	Factorise the expression 48+8m−m2.
Answer» $Factorise the expression 48 + 8 m - m^{2} .$

Discussion

44.	A consumer consumes only two goods, each priced at Rupee one per unit. If the consumer chooses a combination of the two goods with marginal rate of substitution equal to 2, is the consumer at equilibrium? Give reasons. Explain what a rational consumer would do in this situation.
Answer» A consumer consumes only two goods, each priced at Rupee one per unit. If the consumer chooses a combination of the two goods with marginal rate of substitution equal to 2, is the consumer at equilibrium? Give reasons. Explain what a rational consumer would do in this situation.

Discussion

45.	Question 12 In the given figure, EFGH is a parallelogram, altitudes FK and FI are 8 cm and 4 cm, respectively. If EF = 10 cm, then the area of EFGH is (a) 20cm2 (b) 32cm2 (c) 40cm2 (d) 80cm2
Answer» Question 12 In the given figure, EFGH is a parallelogram, altitudes FK and FI are 8 cm and 4 cm, respectively. If EF = 10 cm, then the area of EFGH is (a) $20 c m^{2}$ (b) $32 c m^{2}$ (c) $40 c m^{2}$ (d) $80 c m^{2}$

Discussion

46.	Two numbers are respectively 20% and 50% more than a third number. Find the ratio of the two numbers. [3 MARKS]
Answer» Two numbers are respectively 20% and 50% more than a third number. Find the ratio of the two numbers. [3 MARKS]

Discussion

47.	If the number 41x is divisible by 9, then find the value of digit x.
Answer» If the number 41x is divisible by 9, then find the value of digit x.

Discussion

48.	−710÷−1021 = .
Answer» $\frac{- 7}{10} \div \frac{- 10}{21}$ = .

Discussion

49.	What is the probability of getting a prime number when a die is rolled?
Answer» What is the probability of getting a prime number when a die is rolled?

Discussion

50.	Find the area of the shaded portion.
Answer» Find the area of the shaded portion.

50.

Find the area of the shaded portion.

Answer»

Find the area of the shaded portion.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 3(iii) Work out the following divisions 10y(6y+21)÷5(2y+7)

Question 7 The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 32. Find the rational number.

Question 2(vii) Use the identity (x+a)(x+b)=x2+(a+b)x+ab to find the following products: (xyz−4)(xyz−2)

Divide the sum of 35 and −12 by the product of −17 and −1.

Find each of the following products: (x3−y3)×(x2+y2)

Find the smallest number by which 2560 must be multiplied so that the product is a perfect cube.

Factorise: 5x+10y−7(x+2y)2.

Which of the following values of x makes the equation 8x+1 = 3+6x true?

Divide 150 into three parts, such that the second number is five-sixths of the first and the third Number is four-fifths of the second.

The sum of the digits of a number is subtracted from the number, the resulting number is always divisible by:

Question 20 Find and correct the errors in the statement: 4x+54x=5

If Suresh had scored 20 marks in Accounts and 45 marks in Finance, then the marks scored by all six students in internals of these 2 subjects would be (All marks, at all stages of evaluation, have to be integers. So, round off any decimal to the next higher number)

In a model of a ship , the mast is 6 cm high, while the mast of the actual ship is 9 m high. Of the length of the shop is 33 m, how long is the model of the ship

Question 124(v) Name the property used in each of the following: 38×1=1×38=38

Question 48 ​​​​​​​Sate weather the given statement is true or false. If d varies directly as t2, then we can write dt2=k, where k is some constant.

Find the smallest of: 3√4 , 4√5 , 3√8 , 4√7

The height of triangle ABC is 40 cm and its area is 100 cm2. In triangle ADE, DE = 12BC. If the areas of these triangles are equal then find height of triangle ADE (in cm).80

If the diagonals of a quadrilateral bisect each other, then it could be

Mohit invests Rs.8,000 for 3 years at a certain rate of interest, compounded annually. At the end of one year it amounts to Rs. 9,440. Calculate : (i) the rate of interest per annum. (ii) the amount at the end of the second year. (iii) the interest accrued in the third year.

Find the least number which must be added to 6203 to obtain a perfect square and its square root. Please explain step by step.

ABCDEF is made of two equal sized parallelograms BAFE and BCDE. Find area of the shape if the length of the base and altitude of ABFE are 10 cm and 5 cm respectively.

Match the following with their factorised form

Find the area of hexagon PQRSTU (in m2) in which QN is perpendicular to PS, RL is perpendicular to PS, TM is perpendicular to PS, UO is perpendicular to PS such that PO= 4 m, ON=2 m, NM= 6 m, ML=2 m, LS= 6 m, UO= 6 m, TM= 8 m, QN= 2 m and RL=4 m. ___

Question 3 If 24x is a multiple of 3, where x is a digit, what is the value of x?

Question 49 Answer True/False. a=3 is a solution of the equation 2a−1=5.

Which of the following is the side view of the given figure?

Three rational numbers between 2 and 3 can be

Question 3 (ii) Can a quadrilateral ABCD be a parallelogram, if: (ii) AB=DC=8 cm, AD=4cm and BC=4.4 cm?

What amount is to be repaid on a loan of Rs. 12,000 for 1 and half years at 10% per annum compounded half-yearly?

If the sum of three consecutive multiples of 6 is 126, then the third multiple is ___

Find the value of x. 1)(x3)+(14)=(x2)−(25) 2)0.25(3x−1)=0.05(8x−6) [4 MARKS]

68 + 86 is divisible by:

A shopkeeper announces a stock clearance sale by giving a discount of 50% + 50%. If marked price of an article is Rs 1200 then its sale price will be:

A man saves Rs. 3,000 every year and invests it at the end of the year at 10% compound interest. Calculate the total amount of his savings at the end of the third year.

Construction of a unique quadrilateral is possible if we have a minimum measurement of 3 sides and ___included angles. (Answer in numbers)

Sneha rolls a die. What is the probability of getting a number less than 7?

Without actually subtracting, show that 83 - 38 is divisible by 9. [3 MARKS]

Find the cube root of 1601613. [3 MARKS]

Find the median of the following set of points in a game: 15, 14, 10, 8, 12, 8, 16

Rishi bought a wrist watch for Rs. 2200 and sold it for Rs. 1980. Find the loss and loss percent. [4 MARKS]

Can you draw a unique triangle with any 3 possible measurements of sides or angles?

For constructing ΔLMN exactly identical to ΔABC, choose from the options, the measurements required.

Factorise the expression 48+8m−m2.

A consumer consumes only two goods, each priced at Rupee one per unit. If the consumer chooses a combination of the two goods with marginal rate of substitution equal to 2, is the consumer at equilibrium? Give reasons. Explain what a rational consumer would do in this situation.

Question 12 In the given figure, EFGH is a parallelogram, altitudes FK and FI are 8 cm and 4 cm, respectively. If EF = 10 cm, then the area of EFGH is (a) 20cm2 (b) 32cm2 (c) 40cm2 (d) 80cm2

Two numbers are respectively 20% and 50% more than a third number. Find the ratio of the two numbers. [3 MARKS]

If the number 41x is divisible by 9, then find the value of digit x.

−710÷−1021 = .

What is the probability of getting a prime number when a die is rolled?

Find the area of the shaded portion.

Question 48 Sate weather the given statement is true or false. If d varies directly as t2, then we can write dt2=k, where k is some constant.