25365 + Interview Questions in Mathematics

1.	What is the square of smallest 6 digit number? How to find it using long division method? (WITH FULL STEPS)
Answer» What is the square of smallest 6 digit number? How to find it using long division method? (WITH FULL STEPS)

Discussion

2.	Question 5(iii) Name the property under multiplication used in each of the following: −1929×29−19=1
Answer» Question 5(iii) Name the property under multiplication used in each of the following: $\frac{- 19}{29} \times \frac{29}{- 19} = 1$

Discussion

3.	The area of a square tile is 324 square units. What is the length of each side of the tile?
Answer» The area of a square tile is 324 square units. What is the length of each side of the tile?

Discussion

4.	Five equal rhombus of side 2 cm are arranged in the following manner: What additional information do you require to draw this figure?
Answer» Five equal rhombus of side 2 cm are arranged in the following manner: What additional information do you require to draw this figure?

4.

Five equal rhombus of side 2 cm are arranged in the following manner: What additional information do you require to draw this figure?

Answer»

Five equal rhombus of side 2 cm are arranged in the following manner:

What additional information do you require to draw this figure?

Discussion

5.	How many cookie boxes were sold by Suman?
Answer» How many cookie boxes were sold by Suman?

5.

How many cookie boxes were sold by Suman?

Answer»

How many cookie boxes were sold by Suman?

Discussion

6.	If the simple interest on ₹ 2400 be more than the interest on ₹ 2000 by ₹ 60 in 3 years at the same rate percent, then find the rate.
Answer» If the simple interest on ₹ 2400 be more than the interest on ₹ 2000 by ₹ 60 in 3 years at the same rate percent, then find the rate.

Discussion

7.	express in standard form: 0.000000777
Answer» express in standard form: 0.000000777

Discussion

8.	What number must be added to each of the numbers 6, 15, 20 and 43 to make them proportional?
Answer» What number must be added to each of the numbers 6, 15, 20 and 43 to make them proportional?

Discussion

9.	Find three rational number between 1/2 and 2/3
Answer» Find three rational number between 1/2 and 2/3

Discussion

10.	Kite and trapezium are
Answer» Kite and trapezium are

Discussion

11.	The milk and water ratio in 16 liter mixture is 5:3. The amount of milk to be added to make the ratio 2:1 is
Answer» The milk and water ratio in 16 liter mixture is 5:3. The amount of milk to be added to make the ratio 2:1 is

Discussion

12.	Factorise : 15x4y3−20x3y
Answer» Factorise : $15 x^{4} y^{3} - 20 x^{3} y$

12.

Factorise : 15x4y3−20x3y

Answer»

Factorise :

$15 x^{4} y^{3} - 20 x^{3} y$

Discussion

13.	The LCM of a3 + 2a2 and 2a3 + 5a2
Answer» The LCM of a³ + 2a² and 2a³ + 5a²

Discussion

14.	103×96= ___
Answer» $103 \times 96 =$ ___

Discussion

15.	Which of the following options are equal to 3−2?
Answer» Which of the following options are equal to $3^{- 2}$ ?

Discussion

16.	The difference between the simple interest and compound interest compounded half-yearly at a rate of 5 for 6 months on a deposit of ₹ 5000 will be equal to___
Answer» The difference between the simple interest and compound interest compounded half-yearly at a rate of 5 for $6$ months on a deposit of $₹ 5000$ will be equal to___

Discussion

17.	There are 10 children in class 5 out of 240 children in a school. Calculate its central angle when represented in a pie chart.
Answer» There are 10 children in class 5 out of 240 children in a school. Calculate its central angle when represented in a pie chart.

Discussion

18.	If the angles of an isosceles triangle are in the ratio of 5 : 2 : 2, then find the values of these angles.
Answer» If the angles of an isosceles triangle are in the ratio of 5 : 2 : 2, then find the values of these angles.

Discussion

19.	The number of students joining a class 20 minutes back is 729. If the number of students joining the class triples every 10 minutes, what is the cube root of the number of students joining after 40 minutes from now?
Answer» The number of students joining a class 20 minutes back is 729. If the number of students joining the class triples every 10 minutes, what is the cube root of the number of students joining after 40 minutes from now?

Discussion

20.	Show that x-1 is a factor of x³-1
Answer» Show that x-1 is a factor of x³-1

Discussion

21.	Question 109 Solve the following A carpenter charged Rs. 2500 for making a bed. The cost of materials used is Rs. 1100 and the labour charge is Rs. 200 per hour. For how many hours did the carpenter work?
Answer» Question 109 Solve the following A carpenter charged Rs. 2500 for making a bed. The cost of materials used is Rs. 1100 and the labour charge is Rs. 200 per hour. For how many hours did the carpenter work?

21.

Question 109 Solve the following A carpenter charged Rs. 2500 for making a bed. The cost of materials used is Rs. 1100 and the labour charge is Rs. 200 per hour. For how many hours did the carpenter work?

Answer»

Question 109

Solve the following

A carpenter charged Rs. 2500 for making a bed. The cost of materials used is Rs. 1100 and the labour charge is Rs. 200 per hour. For how many hours did the carpenter work?

Discussion

22.	Question 4 For any non-zero rational numbers x and y, x5÷y5 is equal to (a) (x÷y)1 (b) (x÷y)0 (c) (x÷y)5 (d) (x÷y)10
Answer» Question 4 For any non-zero rational numbers $x$ and $y$ , $x^{5} \div y^{5}$ is equal to (a) $(x \div y)^{1}$ (b) $(x \div y)^{0}$ (c) $(x \div y)^{5}$ (d) $(x \div y)^{10}$

22.

Question 4 For any non-zero rational numbers x and y, x5÷y5 is equal to (a) (x÷y)1 (b) (x÷y)0 (c) (x÷y)5 (d) (x÷y)10

Answer»

Question 4

For any non-zero rational numbers $x$ and $y$ , $x^{5} \div y^{5}$ is equal to
(a) $(x \div y)^{1}$
(b) $(x \div y)^{0}$
(c) $(x \div y)^{5}$
(d) $(x \div y)^{10}$

Discussion

23.	Question 6 Find the length of the side of a square whose area is 441 m2?
Answer» Question 6 Find the length of the side of a square whose area is $441 m^{2}$ ?

Discussion

24.	The central hall of a school is 80 m long and 8 m high. It has 10 doors each of size 3 m × 1.5 m and 10 windows each of size 1.5 m × 1 m. If the cost of the white-washing the walls of the hall at the rate of Rs. 1.20 per m2 is Rs. 2385.60, find the breadth of the hall.
Answer» The central hall of a school is 80 m long and 8 m high. It has 10 doors each of size 3 m $\times$ 1.5 m and 10 windows each of size 1.5 m $\times$ 1 m. If the cost of the white-washing the walls of the hall at the rate of Rs. 1.20 per $m^{2}$ is Rs. 2385.60, find the breadth of the hall.

Discussion

25.	Find 12 rational numbers between -1 and 2.
Answer» Find 12 rational numbers between -1 and 2.

Discussion

26.	Velocity is defined as v=u+5t, where u is fixed- 5 ms−1. Find v at different t.
Answer» Velocity is defined as $v = u + 5 t$ , where $u$ is fixed- $5 m s^{- 1}$ . Find $v$ at different $t$ .

Discussion

27.	1−2ab−(a2+b2)=?(a) (1+a−b)(1+a+b)(b) (1+a+b)(1−a+b)(c) (1+a+b)(1−a−b)(d) (1+a−b)(1−a+b)
Answer» $1 - 2 a b - (a^{2} + b^{2}) = ? (a) (1 + a - b) (1 + a + b) (b) (1 + a + b) (1 - a + b) (c) (1 + a + b) (1 - a - b) (d) (1 + a - b) (1 - a + b)$

Discussion

28.	Question 96 A photographer uses a computer program to enlarge a photograph. What is the scale according to which the width has enlarged?
Answer» Question 96 A photographer uses a computer program to enlarge a photograph. What is the scale according to which the width has enlarged?

Discussion

29.	For comparison of the ratios, quantities must have the same ___.
Answer» For comparison of the ratios, quantities must have the same ___.

Discussion

30.	Question 27 The factorised form of 3x−24 is a) 3x×24 b) 3(x−8) c) 24(x−3) d) 3(x−12)
Answer» Question 27 The factorised form of $3 x - 24$ is a) $3 x \times 24$ b) $3 (x - 8)$ c) $24 (x - 3)$ d) $3 (x - 12)$

Discussion

31.	Which of the following numbers are cubes of rational numbers: (i)2764(ii)125128(iii)0.001331(iv)0.04
Answer» Which of the following numbers are cubes of rational numbers: $(i) \frac{27}{64} (i i) \frac{125}{128} (i i i) 0.001331 (i v) 0.04$

Discussion

32.	Evaluate : 3√−216
Answer» Evaluate : $\sqrt[3]{- 216}$

Discussion

33.	Which of the following statement(s) is/are incorrect?
Answer» Which of the following statement(s) is/are incorrect?

Discussion

34.	The ratio of the total surface area to the lateral surface area of a cylinder whose radius is 20 cm and height 60 cm, is (a) 2:1 (b) 3:2 (c) 4:3 (d) 5:3
Answer» The ratio of the total surface area to the lateral surface area of a cylinder whose radius is 20 cm and height 60 cm, is (a) 2:1 (b) 3:2 (c) 4:3 (d) 5:3

34.

The ratio of the total surface area to the lateral surface area of a cylinder whose radius is 20 cm and height 60 cm, is (a) 2:1 (b) 3:2 (c) 4:3 (d) 5:3

Answer»

The ratio of the total surface area to the lateral surface area of a cylinder whose radius is 20 cm and height 60 cm, is

(a) 2:1

(b) 3:2

(c) 4:3

(d) 5:3

Discussion

35.	Find the cube root of 1 -- 127343
Answer» Find the cube root of 1 -- $\frac{127}{343}$

Discussion

36.	Express 2 x 2 x2 x2 x2 x2 in exponential form
Answer» Express $2$ x $2$ x $2$ x $2$ x $2$ x $2$ in exponential form

Discussion

37.	Find the area of a parallelogram ABCD in which AB=3 cm, BC=7 cm and AC=8 cm.
Answer» Find the area of a parallelogram $A B C D$ in which $A B = 3 c m, B C = 7 c m$ and $A C = 8 c m$ .

Discussion

38.	Question 72 If a pair of coins is tossed, then the number of outcomes are 2.
Answer» Question 72 If a pair of coins is tossed, then the number of outcomes are 2.

38.

Question 72 If a pair of coins is tossed, then the number of outcomes are 2.

Answer»

Question 72

If a pair of coins is tossed, then the number of outcomes are 2.

Discussion

39.	Which of the following represents the factorisation of 26xy2.
Answer» Which of the following represents the factorisation of $26 x y^{2} .$

Discussion

40.	From the adjoining figure, the value of xo is:
Answer» From the adjoining figure, the value of $x^{o}$ is:

40.

From the adjoining figure, the value of xo is:

Answer»

From the adjoining figure, the value of $x^{o}$ is:

Discussion

41.	If 3m×am=12m. Then a = ___
Answer» If $3^{m} \times a^{m} = 12^{m}$ . Then a = ___

Discussion

42.	Four boys and one girl constitute a group of students. Which of the following statements is correct?
Answer» Four boys and one girl constitute a group of students. Which of the following statements is correct?

Discussion

43.	(-1) × 225
Answer» (-1) $\times$ 225

Discussion

44.	Write the equation of a line in which every point has an abscissa which is twice the ordinate. Rewrite this in the form ax + by + c = 0 and indicate the values of a, b and c. [4 MARKS]
Answer» Write the equation of a line in which every point has an abscissa which is twice the ordinate. Rewrite this in the form ax + by + c = 0 and indicate the values of a, b and c. [4 MARKS]

Discussion

45.	A dealer bought a refrigerator for Rs. 11515.After allowing a discount of16%on its marked price, he gains 20%Find the marked price of the refrigerator.
Answer» $A dealer bought a refrigerator for Rs. 11515.After allowing a discount of 16 % on its marked price, he gains 20 % Find the marked price of the refrigerator.$

Discussion

46.	Using a suitable algebraic identity, find 41×43. 1763
Answer» Using a suitable algebraic identity, find $41 \times 43$ . 1763

Discussion

47.	Factorise: p2+q2+2(pq+qr+rp).
Answer» $Factorise: p^{2} + q^{2} + 2 (p q + q r + r p) .$

Discussion

48.	In the given figure two parallel lines l,m are intersected by a tranversal. Then the pair of co - interior angles are
Answer» In the given figure two parallel lines l,m are intersected by a tranversal. Then the pair of co - interior angles are

48.

In the given figure two parallel lines l,m are intersected by a tranversal. Then the pair of co - interior angles are

Answer»

In the given figure two parallel lines l,m are intersected by a tranversal. Then the pair of co - interior angles are

Discussion

49.	Factorise 8−2(a−b)2
Answer» Factorise $8 - 2 (a - b)^{2}$

Discussion

50.	The age of Sunil and his father are in the ratio 3:7. Four years later the sum of their ages will be 78 years. Which of the following represents the age of either Sunil or his father?
Answer» The age of Sunil and his father are in the ratio 3:7. Four years later the sum of their ages will be 78 years. Which of the following represents the age of either Sunil or his father?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

What is the square of smallest 6 digit number? How to find it using long division method? (WITH FULL STEPS)

Question 5(iii) Name the property under multiplication used in each of the following: −1929×29−19=1

The area of a square tile is 324 square units. What is the length of each side of the tile?

Five equal rhombus of side 2 cm are arranged in the following manner: What additional information do you require to draw this figure?

How many cookie boxes were sold by Suman?

If the simple interest on ₹ 2400 be more than the interest on ₹ 2000 by ₹ 60 in 3 years at the same rate percent, then find the rate.

express in standard form: 0.000000777

What number must be added to each of the numbers 6, 15, 20 and 43 to make them proportional?

Find three rational number between 1/2 and 2/3

Kite and trapezium are

The milk and water ratio in 16 liter mixture is 5:3. The amount of milk to be added to make the ratio 2:1 is

Factorise : 15x4y3−20x3y

The LCM of a3 + 2a2 and 2a3 + 5a2

103×96= ___

Which of the following options are equal to 3−2?

The difference between the simple interest and compound interest compounded half-yearly at a rate of 5 for 6 months on a deposit of ₹ 5000 will be equal to___

There are 10 children in class 5 out of 240 children in a school. Calculate its central angle when represented in a pie chart.

If the angles of an isosceles triangle are in the ratio of 5 : 2 : 2, then find the values of these angles.

The number of students joining a class 20 minutes back is 729. If the number of students joining the class triples every 10 minutes, what is the cube root of the number of students joining after 40 minutes from now?

Show that x-1 is a factor of x³-1

Question 109 Solve the following A carpenter charged Rs. 2500 for making a bed. The cost of materials used is Rs. 1100 and the labour charge is Rs. 200 per hour. For how many hours did the carpenter work?

Question 4 For any non-zero rational numbers x and y, x5÷y5 is equal to (a) (x÷y)1 (b) (x÷y)0 (c) (x÷y)5 (d) (x÷y)10

Question 6 Find the length of the side of a square whose area is 441 m2?

The central hall of a school is 80 m long and 8 m high. It has 10 doors each of size 3 m × 1.5 m and 10 windows each of size 1.5 m × 1 m. If the cost of the white-washing the walls of the hall at the rate of Rs. 1.20 per m2 is Rs. 2385.60, find the breadth of the hall.

Find 12 rational numbers between -1 and 2.

Velocity is defined as v=u+5t, where u is fixed- 5 ms−1. Find v at different t.

1−2ab−(a2+b2)=?(a) (1+a−b)(1+a+b)(b) (1+a+b)(1−a+b)(c) (1+a+b)(1−a−b)(d) (1+a−b)(1−a+b)

Question 96 A photographer uses a computer program to enlarge a photograph. What is the scale according to which the width has enlarged?

For comparison of the ratios, quantities must have the same ___.

Question 27 The factorised form of 3x−24 is a) 3x×24 b) 3(x−8) c) 24(x−3) d) 3(x−12)

Which of the following numbers are cubes of rational numbers: (i)2764(ii)125128(iii)0.001331(iv)0.04

Evaluate : 3√−216

Which of the following statement(s) is/are incorrect?

The ratio of the total surface area to the lateral surface area of a cylinder whose radius is 20 cm and height 60 cm, is (a) 2:1 (b) 3:2 (c) 4:3 (d) 5:3

Find the cube root of 1 -- 127343

Express 2 x 2 x2 x2 x2 x2 in exponential form

Find the area of a parallelogram ABCD in which AB=3 cm, BC=7 cm and AC=8 cm.

Question 72 If a pair of coins is tossed, then the number of outcomes are 2.

Which of the following represents the factorisation of 26xy2.

From the adjoining figure, the value of xo is:

If 3m×am=12m. Then a = ___

Four boys and one girl constitute a group of students. Which of the following statements is correct?

(-1) × 225

Write the equation of a line in which every point has an abscissa which is twice the ordinate. Rewrite this in the form ax + by + c = 0 and indicate the values of a, b and c. [4 MARKS]

A dealer bought a refrigerator for Rs. 11515.After allowing a discount of16%on its marked price, he gains 20%Find the marked price of the refrigerator.

Using a suitable algebraic identity, find 41×43. 1763

Factorise: p2+q2+2(pq+qr+rp).

In the given figure two parallel lines l,m are intersected by a tranversal. Then the pair of co - interior angles are

Factorise 8−2(a−b)2

The age of Sunil and his father are in the ratio 3:7. Four years later the sum of their ages will be 78 years. Which of the following represents the age of either Sunil or his father?