25365 + Interview Questions in Mathematics

1.	Is 4836 perfect square or not?
Answer» Is 4836 perfect square or not?

Discussion

2.	Which of the following is the most beneficial for a customer? A two successive discounts of 15% each B discount of 30% C a 10% discount followed by a 20% discount D at 20% discount followed by a 10% discount
Answer» Which of the following is the most beneficial for a customer? A two successive discounts of 15% each B discount of 30% C a 10% discount followed by a 20% discount D at 20% discount followed by a 10% discount

Discussion

3.	The volume of a cuboid of height 18 cm length 10 cm and breadth 5 cm is equal to
Answer» The volume of a cuboid of height 18 cm length 10 cm and breadth 5 cm is equal to

Discussion

4.	In a regular polygon, the ratio of the inner and outer angle is 11 : 7. What is the measure of the interior angle?
Answer» In a regular polygon, the ratio of the inner and outer angle is 11 : 7. What is the measure of the interior angle?

Discussion

5.	A rectangular piece of dimensions 3cm×2cm was cut from a rectangular sheet of paper of dimensions 6cm×5cm. Area of remaining sheet of paper is :
Answer» A rectangular piece of dimensions $3 c m \times 2 c m$ was cut from a rectangular sheet of paper of dimensions $6 c m \times 5 c m$ . Area of remaining sheet of paper is :

Discussion

6.	The square root of 425831369 is:
Answer» The square root of $42 \frac{583}{1369}$ is:

Discussion

7.	Find the length of the side of a cube whose total surface area is 1536 cm2.
Answer» Find the length of the side of a cube whose total surface area is $1536 c m^{2}$ .

Discussion

8.	The area of an equilateral tringle is 144√3cm2; find its perimeter. Area of an equilateral triangle =√34×(side)2 and its perimeter =3× side
Answer» The area of an equilateral tringle is $144 \sqrt{3} c m^{2}$ ; find its perimeter. Area of an equilateral triangle $= \frac{\sqrt{3}}{4} \times (s i d e)^{2}$ and its perimeter $= 3 \times$ side

8.

The area of an equilateral tringle is 144√3cm2; find its perimeter. Area of an equilateral triangle =√34×(side)2 and its perimeter =3× side

Answer»

The area of an equilateral tringle is $144 \sqrt{3} c m^{2}$ ; find its perimeter.

Area of an equilateral triangle

$= \frac{\sqrt{3}}{4} \times (s i d e)^{2}$ and its perimeter $= 3 \times$ side

Discussion

9.	Solve + = 10 ;- = 2, by the method of substitution.
Answer» Solve + = 10 ;- = 2, by the method of substitution.

Discussion

10.	Following graph shows the distance covered by airplane at the given particular time: 60 km is covered at what time?
Answer» Following graph shows the distance covered by airplane at the given particular time: 60 km is covered at what time?

10.

Following graph shows the distance covered by airplane at the given particular time: 60 km is covered at what time?

Answer»

Following graph shows the distance covered by airplane at the given particular time:

60 km is covered at what time?

Discussion

11.	A farmer has a field of area 4945ha. He wants to divide it equally among his one son and two daughters. Find the area of each one’s share.
Answer» A farmer has a field of area $49 \frac{4}{5}$ ha. He wants to divide it equally among his one son and two daughters. Find the area of each one’s share.

Discussion

12.	Question 4 A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, its radius is (a) 22 cm (b) 14 cm (c) 11 cm (d) 7 cm
Answer» Question 4 A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, its radius is (a) 22 cm (b) 14 cm (c) 11 cm (d) 7 cm

Discussion

13.	Find the solution of 3x1.5+4x1.6=4.5 [2 MARKS]
Answer» Find the solution of $\frac{3 x}{1.5} + \frac{4 x}{1.6} = 4.5$ [2 MARKS]

Discussion

14.	Define cash and cash equivalents.
Answer» Define cash and cash equivalents.

Discussion

15.	Construct an angle of 45∘ without using protractor by the method of angle bisection. Any of the other geometric instruments can be used. [3 MARKS]
Answer» Construct an angle of $45^{\circ}$ without using protractor by the method of angle bisection. Any of the other geometric instruments can be used. [3 MARKS]

Discussion

16.	Which among the following is best transaction in terms of percentage profit ? (SP is Selling Price in rupees and CP is Cost Price in rupees)
Answer» Which among the following is best transaction in terms of percentage profit ? (SP is Selling Price in rupees and CP is Cost Price in rupees)

Discussion

17.	If A and B are disjoint sets then, n(A U B) = ____.
Answer» If A and B are disjoint sets then, n(A U B) = ____.

17.

If A and B are disjoint sets then, n(A U B) = ____.

Answer»

If A and B are disjoint sets then,

n(A U B) = ____.

Discussion

18.	Question 7 Expenditure on education of a country during a five years period (2002 – 2006), in crore of rupees, is given below: Elementary Education240Secondary Education120University Education190Teachers, training20Social Education10Other Educational Programmes115Cultural Programmes25Technical Education125 Represent the information above by a bar graph.
Answer» Question 7 Expenditure on education of a country during a five years period (2002 – 2006), in crore of rupees, is given below: $\begin{matrix} E l e m e n t a r y E d u c a t i o n & 240 S e c o n d a r y E d u c a t i o n & 120 U n i v e r s i t y E d u c a t i o n & 190 T e a c h e r s, t r a i n i n g & 20 S o c i a l E d u c a t i o n & 10 O t h e r E d u c a t i o n a l P r o g r a m m e s & 115 C u l t u r a l P r o g r a m m e s & 25 T e c h n i c a l E d u c a t i o n & 125 \end{matrix}$ Represent the information above by a bar graph.

Discussion

19.	What is the standard form of 0.0023?
Answer» What is the standard form of 0.0023?

Discussion

20.	Factorise a2+7a+10 + pa + 6p
Answer» Factorise $a^{2} + 7 a + 10$ + pa + 6p

Discussion

21.	Subtract −58 from −37 [2 MARKS]
Answer» Subtract $\frac{- 5}{8}$ from $\frac{- 3}{7}$ [2 MARKS]

Discussion

22.	Ravi goes from Bangalore to Chennai to buy a bicycle which costs ₹ 4000 in Chennai. He sells this cycle in Bangalore for ₹ 6400. He spends ₹ 800 on food,travel, etc. Find his Overall Profit or Loss %.
Answer» Ravi goes from Bangalore to Chennai to buy a bicycle which costs ₹ 4000 in Chennai. He sells this cycle in Bangalore for ₹ 6400. He spends ₹ 800 on food,travel, etc. Find his Overall Profit or Loss %.

22.

Ravi goes from Bangalore to Chennai to buy a bicycle which costs ₹ 4000 in Chennai. He sells this cycle in Bangalore for ₹ 6400. He spends ₹ 800 on food,travel, etc. Find his Overall Profit or Loss %.

Answer»

Ravi goes from Bangalore to Chennai to buy a bicycle which costs ₹ 4000 in Chennai. He sells this cycle in Bangalore for ₹ 6400. He spends ₹ 800 on food,travel, etc.

Find his Overall Profit or Loss %.

Discussion

23.	If 12 men or 18 women can complete a piece of work in 7 days, in how many days can 4 men and 8 women complete the same work?
Answer» If 12 men or 18 women can complete a piece of work in 7 days, in how many days can 4 men and 8 women complete the same work?

Discussion

24.	Which of the following statements is not true?
Answer» Which of the following statements is not true?

Discussion

25.	What is the reciprocal of -8?
Answer» What is the reciprocal of -8?

Discussion

26.	Determine whether x = 3, y = 2 is a solution of the equation 3y - 2x = 4. [2 MARKS]
Answer» Determine whether x = 3, y = 2 is a solution of the equation 3y - 2x = 4. [2 MARKS]

Discussion

27.	To represent -8/5, 8 markings on the number line are made at a distance of 1/5 each towards ______.
Answer» To represent -8/5, 8 markings on the number line are made at a distance of 1/5 each towards ______.

Discussion

28.	Simplify : √3√2 +√2√3
Answer» Simplify : $\frac{\sqrt{3}}{\sqrt{2}} + \frac{\sqrt{2}}{\sqrt{3}}$

Discussion

29.	Question 2 Construct the Quadrilateral TRUE TR=3.5 cm, RU=3cm, UE=4cm, ∠R=75∘, ∠U=120∘
Answer» Question 2 Construct the Quadrilateral TRUE TR=3.5 cm, RU=3cm, UE=4cm, $∠ R = 75^{\circ}, ∠ U = 120^{\circ}$

Discussion

30.	What number should be added to −78 so as to get 59? [3 MARKS]
Answer» What number should be added to $\frac{- 7}{8}$ so as to get $\frac{5}{9}$ ? [3 MARKS]

Discussion

31.	Find the cube root of each of the following numbers: [4 MARKS] 1. 8×64 2. (−216)×1728 3. 27×(−2744) 4. (−125)×(−3375)
Answer» Find the cube root of each of the following numbers: [4 MARKS] 1. $8 \times 64$ 2. $(- 216) \times 1728$ 3. $27 \times (- 2744)$ 4. $(- 125) \times (- 3375)$

Discussion

32.	The diagonal of a square is 12 cm long. find its area and length of one side.
Answer» The diagonal of a square is $12 c m$ long. find its area and length of one side.

Discussion

33.	If 'ABC', a 3 digit number is reversed then the sum of digits of the difference between the original and the reversed number will always be divisible by:
Answer» If 'ABC', a 3 digit number is reversed then the sum of digits of the difference between the original and the reversed number will always be divisible by:

Discussion

34.	if 2^x * 4^x = 8^(1/3) * 32^(1/5) find x
Answer» if 2^x * 4^x = 8^(1/3) * 32^(1/5) find x

Discussion

35.	Find the product of 4m,5n,6x,124y.
Answer» Find the product of $4 m, 5 n, 6 x, \frac{1}{24} y .$

Discussion

36.	Question 94 (i) Carry out the following division: 51x3y2z ÷ 17xyz
Answer» Question 94 (i) Carry out the following division: $51 x^{3} y^{2} z \div 17 x y z$

36.

Question 94 (i) Carry out the following division: 51x3y2z ÷ 17xyz

Answer»

Question 94 (i)

Carry out the following division:

$51 x^{3} y^{2} z \div 17 x y z$

Discussion

37.	The following graph is a __ graph
Answer» The following graph is a __ graph

37.

The following graph is a __ graph

Answer»

The following graph is a __ graph

Discussion

38.	If the sum of a 2-digit number ab and the number obtained by reversing its digits is divided by 11, the remainder is ___.
Answer» If the sum of a 2-digit number ab and the number obtained by reversing its digits is divided by 11, the remainder is ___.

Discussion

39.	What is the minimum number we need to multiply with 392 to make it a perfect cube?
Answer» What is the minimum number we need to multiply with 392 to make it a perfect cube?

Discussion

40.	Question 2 (i) Draw, wherever possible a rough sketch of: i) A triangle with both line and rotational symmetries of order more than 1.
Answer» Question 2 (i) Draw, wherever possible a rough sketch of: i) A triangle with both line and rotational symmetries of order more than 1.

Discussion

41.	Question 68 By what number should (−4)5 be divided so that the quotient may be equal to (−4)3?
Answer» Question 68 By what number should $(- 4)^{5}$ be divided so that the quotient may be equal to $(- 4)^{3}$ ?

41.

Question 68 By what number should (−4)5 be divided so that the quotient may be equal to (−4)3?

Answer»

Question 68

By what number should $(- 4)^{5}$ be divided so that the quotient may be equal to $(- 4)^{3}$ ?

Discussion

42.	Question 67 Arrange the following exponents in descendig order. 22+3,(22)3,2×22,3532,32×30,23×52
Answer» Question 67 Arrange the following exponents in descendig order. $2^{2 + 3}, (2^{2})^{3}, 2 \times 2^{2}, \frac{3^{5}}{3^{2}}, 3^{2} \times 3^{0}, 2^{3} \times 5^{2}$

42.

Question 67 Arrange the following exponents in descendig order. 22+3,(22)3,2×22,3532,32×30,23×52

Answer»

Question 67

Arrange the following exponents in descendig order.
$2^{2 + 3}, (2^{2})^{3}, 2 \times 2^{2}, \frac{3^{5}}{3^{2}}, 3^{2} \times 3^{0}, 2^{3} \times 5^{2}$

Discussion

43.	Question 9 (vii) Solve the following pairs of equation 2xyx+y=32, xy2x−y=−310, x+y≠0,2x−y≠0
Answer» Question 9 (vii) Solve the following pairs of equation $\frac{2 x y}{x + y} = \frac{3}{2}, \frac{x y}{2 x - y} = \frac{- 3}{10}, x + y \neq 0, 2 x - y \neq 0$

Discussion

44.	Question 85 (b) Evaluate 54×74×278×49×53
Answer» Question 85 (b) Evaluate $\frac{5^{4} \times 7^{4} \times 2^{7}}{8 \times 49 \times 5^{3}}$

44.

Question 85 (b) Evaluate 54×74×278×49×53

Answer»

Question 85 (b)

Evaluate
$\frac{5^{4} \times 7^{4} \times 2^{7}}{8 \times 49 \times 5^{3}}$

Discussion

45.	Simplify: (xy−ab+bx−ay)÷(x−a)
Answer» $S i m p l i f y : (x y - a b + b x - a y) \div (x - a)$

Discussion

46.	What must be subtracted from 1729 to get a perfect square?
Answer» What must be subtracted from 1729 to get a perfect square?

Discussion

47.	The adjacent figure shows 3 different views of a three – dimensional figure made from cubes. Identify the three – dimensional figure
Answer» The adjacent figure shows 3 different views of a three – dimensional figure made from cubes. Identify the three – dimensional figure

Discussion

48.	The area of the given figure is equal to ___ cm2. 55
Answer» The area of the given figure is equal to ___ $c m^{2}$ . 55

Discussion

49.	Factorise the expression: p2q2+6pqr+9r2
Answer» $Factorise the expression: p^{2} q^{2} + 6 p q r + 9 r^{2}$

Discussion

50.	A farmer had a rectangular plot measuring 500 m by 100 m. If he fences the plot 4 times with barbed wire, what should be the length of the wire?
Answer» A farmer had a rectangular plot measuring 500 m by 100 m. If he fences the plot 4 times with barbed wire, what should be the length of the wire?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Is 4836 perfect square or not?

Which of the following is the most beneficial for a customer? A two successive discounts of 15% each B discount of 30% C a 10% discount followed by a 20% discount D at 20% discount followed by a 10% discount

The volume of a cuboid of height 18 cm length 10 cm and breadth 5 cm is equal to

In a regular polygon, the ratio of the inner and outer angle is 11 : 7. What is the measure of the interior angle?

A rectangular piece of dimensions 3cm×2cm was cut from a rectangular sheet of paper of dimensions 6cm×5cm. Area of remaining sheet of paper is :

The square root of 425831369 is:

Find the length of the side of a cube whose total surface area is 1536 cm2.

The area of an equilateral tringle is 144√3cm2; find its perimeter. Area of an equilateral triangle =√34×(side)2 and its perimeter =3× side

Solve + = 10 ;- = 2, by the method of substitution.

Following graph shows the distance covered by airplane at the given particular time: 60 km is covered at what time?

A farmer has a field of area 4945ha. He wants to divide it equally among his one son and two daughters. Find the area of each one’s share.

Question 4 A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, its radius is (a) 22 cm (b) 14 cm (c) 11 cm (d) 7 cm

Find the solution of 3x1.5+4x1.6=4.5 [2 MARKS]

Define cash and cash equivalents.

Construct an angle of 45∘ without using protractor by the method of angle bisection. Any of the other geometric instruments can be used. [3 MARKS]

Which among the following is best transaction in terms of percentage profit ? (SP is Selling Price in rupees and CP is Cost Price in rupees)

If A and B are disjoint sets then, n(A U B) = ____.

What is the standard form of 0.0023?

Factorise a2+7a+10 + pa + 6p

Subtract −58 from −37 [2 MARKS]

Ravi goes from Bangalore to Chennai to buy a bicycle which costs ₹ 4000 in Chennai. He sells this cycle in Bangalore for ₹ 6400. He spends ₹ 800 on food,travel, etc. Find his Overall Profit or Loss %.

If 12 men or 18 women can complete a piece of work in 7 days, in how many days can 4 men and 8 women complete the same work?

Which of the following statements is not true?

What is the reciprocal of -8?

Determine whether x = 3, y = 2 is a solution of the equation 3y - 2x = 4. [2 MARKS]

To represent -8/5, 8 markings on the number line are made at a distance of 1/5 each towards ______.

Simplify : √3√2 +√2√3

Question 2 Construct the Quadrilateral TRUE TR=3.5 cm, RU=3cm, UE=4cm, ∠R=75∘, ∠U=120∘

What number should be added to −78 so as to get 59? [3 MARKS]

Find the cube root of each of the following numbers: [4 MARKS] 1. 8×64 2. (−216)×1728 3. 27×(−2744) 4. (−125)×(−3375)

The diagonal of a square is 12 cm long. find its area and length of one side.

If 'ABC', a 3 digit number is reversed then the sum of digits of the difference between the original and the reversed number will always be divisible by:

if 2^x * 4^x = 8^(1/3) * 32^(1/5) find x

Find the product of 4m,5n,6x,124y.

Question 94 (i) Carry out the following division: 51x3y2z ÷ 17xyz

The following graph is a __ graph

If the sum of a 2-digit number ab and the number obtained by reversing its digits is divided by 11, the remainder is ___.

What is the minimum number we need to multiply with 392 to make it a perfect cube?

Question 2 (i) Draw, wherever possible a rough sketch of: i) A triangle with both line and rotational symmetries of order more than 1.

Question 68 By what number should (−4)5 be divided so that the quotient may be equal to (−4)3?

Question 67 Arrange the following exponents in descendig order. 22+3,(22)3,2×22,3532,32×30,23×52

Question 9 (vii) Solve the following pairs of equation 2xyx+y=32, xy2x−y=−310, x+y≠0,2x−y≠0

Question 85 (b) Evaluate 54×74×278×49×53

Simplify: (xy−ab+bx−ay)÷(x−a)

What must be subtracted from 1729 to get a perfect square?

The adjacent figure shows 3 different views of a three – dimensional figure made from cubes. Identify the three – dimensional figure

The area of the given figure is equal to ___ cm2. 55

Factorise the expression: p2q2+6pqr+9r2

A farmer had a rectangular plot measuring 500 m by 100 m. If he fences the plot 4 times with barbed wire, what should be the length of the wire?