19743 + Interview Questions in Mathematics

1.	Match the equtions with their solution.
Answer» Match the equtions with their solution.

Discussion

2.	The cost of a machine depreciates by 10 % every year. Find the price after 2 years, if the initial cost of the machine was ₹30000.
Answer» The cost of a machine depreciates by 10 % every year. Find the price after 2 years, if the initial cost of the machine was ₹30000.

Discussion

3.	Let S1 be a square of side a. Another square S2 is formed by joining the mid-points of the sides of S1. The same process is applied to S2 to form yet another square S3, and so on. If A1, A2, A3, ……… be the areas and P1, P2, P3, ……… be the perimeters of S1, S2, S3, ……., respectively, then the ratio equals :(CAT 2003)
Answer» Let S₁ be a square of side a. Another square S₂ is formed by joining the mid-points of the sides of S1. The same process is applied to S₂ to form yet another square S₃, and so on. If A₁, A₂, A₃, ……… be the areas and P₁, P₂, P₃, ……… be the perimeters of S₁, S₂, S₃, ……., respectively, then the ratio equals :(CAT 2003)

Discussion

4.	Solve the following inequation: −6−4x<10; x ϵ Z.
Answer» Solve the following inequation: $- 6 - 4 x < 10; x ϵ Z$ .

Discussion

5.	Question 51 Answer True/False. t minutes are equal to 60t seconds.
Answer» Question 51 Answer True/False. $t$ minutes are equal to 60 $t$ seconds.

5.

Question 51 Answer True/False. t minutes are equal to 60t seconds.

Answer»

Question 51

Answer True/False.

$t$ minutes are equal to 60 $t$ seconds.

Discussion

6.	How is an equation formed?
Answer» How is an equation formed?

Discussion

7.	In a game of long jump, Ravi jumped for 4.77 meters, Sushweta jumped 4.55 meters, Shreya jumped for 4.65 metres, Apurva jumped for 4.95 meters. Who is the winner of this game?
Answer» In a game of long jump, Ravi jumped for 4.77 meters, Sushweta jumped 4.55 meters, Shreya jumped for 4.65 metres, Apurva jumped for 4.95 meters. Who is the winner of this game?

Discussion

8.	The pie chart shows the amount of time that Jaison spends each day on various activities. What is the angle of the sector of the pie chart representing sports time?
Answer» The pie chart shows the amount of time that Jaison spends each day on various activities. What is the angle of the sector of the pie chart representing sports time?

8.

The pie chart shows the amount of time that Jaison spends each day on various activities. What is the angle of the sector of the pie chart representing sports time?

Answer»

The pie chart shows the amount of time that Jaison spends each day on various activities.

What is the angle of the sector of the pie chart representing sports time?

Discussion

9.	Question 63 Express the given statement as an equation. Five times a number increased by 7 is 27.
Answer» Question 63 Express the given statement as an equation. Five times a number increased by 7 is 27.

9.

Question 63 Express the given statement as an equation. Five times a number increased by 7 is 27.

Answer»

Question 63

Express the given statement as an equation.

Five times a number increased by 7 is 27.

Discussion

10.	Divide the sum of 37and−514 by −12.
Answer» $Divide the sum of \frac{3}{7} and \frac{- 5}{14} b y - \frac{1}{2} .$

Discussion

11.	Ramsey paid Rs 36 as interest for 2 years at 12% per year. What is the amount borrowed?
Answer» Ramsey paid Rs 36 as interest for 2 years at 12% per year. What is the amount borrowed?

Discussion

12.	In the given figure, if ∠BAD=∠CAD,∠ABD=∠ACD, then which of the following is true ?
Answer» In the given figure, if $∠ B A D = ∠ C A D, ∠ A B D = ∠ A C D,$ then which of the following is true ?

12.

In the given figure, if ∠BAD=∠CAD,∠ABD=∠ACD, then which of the following is true ?

Answer»

In the given figure, if $∠ B A D = ∠ C A D, ∠ A B D = ∠ A C D,$ then which of the following is true ?

Discussion

13.	What is the product of (a+b) and 7a2b2?
Answer» What is the product of $(a + b)$ and $7 a^{2} b^{2}$ ?

Discussion

14.	If P(E) and P(E’) are the probabilities of two complementary events,then which of the following is always true?
Answer» If P(E) and P(E’) are the probabilities of two complementary events,then which of the following is always true?

Discussion

15.	If 4, x, x and 49 are in proportion, find the value of x.
Answer» If 4, x, x and 49 are in proportion, find the value of x.

Discussion

16.	Question 50 Calculate the mean, median and mode of the following data: 5, 10, 10, 12, 13 Are these three equal?
Answer» Question 50 Calculate the mean, median and mode of the following data: 5, 10, 10, 12, 13 Are these three equal?

Discussion

17.	Consider the figure: If ∠A = 50∘, ∠B = 70∘, and x = 2y, then find the value of x +y+ ∠ACB. ___
Answer» Consider the figure: If $∠$ A = $50^{\circ}$ , $∠$ B = $70^{\circ}$ , and x = 2y, then find the value of x +y+ $∠$ ACB. ___

17.

Consider the figure: If ∠A = 50∘, ∠B = 70∘, and x = 2y, then find the value of x +y+ ∠ACB. ___

Answer»

Consider the figure:

If $∠$ A = $50^{\circ}$ , $∠$ B = $70^{\circ}$ , and x = 2y, then find the value of x +y+ $∠$ ACB.

___

Discussion

18.	Question 6(i) The marks (out of 100) obtained by a group of students in a science test are 85, 76, 90, 85, 39, 48, 56, 95, 81 and 75. Find the: The highest and the lowest marks obtained by the students.
Answer» Question 6(i) The marks (out of 100) obtained by a group of students in a science test are 85, 76, 90, 85, 39, 48, 56, 95, 81 and 75. Find the: The highest and the lowest marks obtained by the students.

Discussion

19.	A train travels 40 km at a uniform speed of 30 km/hr. Its average speed after travelling another 40 km is 45 km/hr for the whole journey.Find its speed in the second half of the journey.
Answer» A train travels 40 km at a uniform speed of 30 km/hr. Its average speed after travelling another 40 km is 45 km/hr for the whole journey.Find its speed in the second half of the journey.

Discussion

20.	What is the percentage increase in the number of students in College T in the year 2007 from the previous year (rounded off to two digits after decimal)?
Answer» What is the percentage increase in the number of students in College T in the year 2007 from the previous year (rounded off to two digits after decimal)?

Discussion

21.	Raju's house has the living room in the form of a square. One side of the room is 3.5m. If the room is to be carpated, how many square metres of carpet is required?
Answer» Raju's house has the living room in the form of a square. One side of the room is 3.5m. If the room is to be carpated, how many square metres of carpet is required?

Discussion

22.	Question 67 (ii) Look at the shapes given below and state if it is a polyhedron using Euler's formula.
Answer» Question 67 (ii) Look at the shapes given below and state if it is a polyhedron using Euler's formula.

Discussion

23.	3(x−1)≤2(x−3)
Answer» $3 (x - 1) \leq 2 (x - 3)$

Discussion

24.	Simplify and express each of the following in exponential form: (30+20)×50 [3 MARKS]
Answer» Simplify and express each of the following in exponential form: $(3^{0} + 2^{0}) \times 5^{0}$ [3 MARKS]

Discussion

25.	…, −4,−3,−2,−1 What order are the above integers arranged in? ___ (ascending/descending)
Answer» …, $- 4, - 3, - 2, - 1$ What order are the above integers arranged in? ___ (ascending/descending)

25.

…, −4,−3,−2,−1 What order are the above integers arranged in? ___ (ascending/descending)

Answer»

…, $- 4, - 3, - 2, - 1$

What order are the above integers arranged in?

___ (ascending/descending)

Discussion

26.	The length of a rectangular room is 6 m longer than its width. If each dimensions is increased by 2 m , the area of the floor of the room increases by 64 sq.m. find the original dimensions of the room?
Answer» The length of a rectangular room is 6 m longer than its width. If each dimensions is increased by 2 m , the area of the floor of the room increases by 64 sq.m. find the original dimensions of the room?

Discussion

27.	PQR is a straight line. What is the value of x?
Answer» PQR is a straight line. What is the value of x?

Discussion

28.	How many faces does a solid with 5 vertices and 10 edges have?
Answer» How many faces does a solid with 5 vertices and 10 edges have?

Discussion

29.	The magnitude of __ is expressed in degrees.
Answer» The magnitude of __ is expressed in degrees.

Discussion

30.	Q57. Which one of the following does not belong to the group for lack of common property?
Answer» Q57. Which one of the following does not belong to the group for lack of common property?

Discussion

31.	If 97 and a63 are equivalent fractions, then the value of 'a' is ___ .
Answer» If $\frac{9}{7}$ and $\frac{a}{63}$ are equivalent fractions, then the value of 'a' is ___ .

Discussion

32.	In a quiz, team A scored - 40, 10, 0 and team B scored 20, 0, - 40 in three successive rounds, team C scored 30,30,20 and team D scored 80, -20, 10. (i) Which team scored the highest? (ii) Which team scored the lowest? (ii) What is the difference between the teams which scored the highest and the team which scored lowest? (iii) Can we say that we can add integers in any order? [4 MARKS]
Answer» In a quiz, team A scored - 40, 10, 0 and team B scored 20, 0, - 40 in three successive rounds, team C scored 30,30,20 and team D scored 80, -20, 10. (i) Which team scored the highest? (ii) Which team scored the lowest? (ii) What is the difference between the teams which scored the highest and the team which scored lowest? (iii) Can we say that we can add integers in any order? [4 MARKS]

Discussion

33.	1024 is ______ power of 4.
Answer» 1024 is ______ power of 4.

Discussion

34.

Question 1 (iii) Which of the drawings (a) to (d) show: 3×23 a) b) c) d)

Answer»

Question 1 (iii)

Which of the drawings (a) to (d) show:

3 \times \frac{2}{3}

a)

b)

c)

d)

Discussion

35.	Collection and tabulation is the basic for data
Answer» Collection and tabulation is the basic for data

Discussion

36.	Data _______ is fundamental for managing data.
Answer» Data _______ is fundamental for managing data.

Discussion

37.	Ajay earns ₹ 3000 in 10 days. He earns ₹ ___ in 25 days.
Answer» Ajay earns ₹ 3000 in 10 days. He earns ₹ ___ in 25 days.

Discussion

38.	Question 89: In our own planet Earth, 361,419,000 square kilometre of area is covered with water and 148,647,000 square kilometre pf area is covered by land. Find the approxiate ratio of area covered with water to area covered by land converting these numbers into scientific notation.
Answer» Question 89: In our own planet Earth, 361,419,000 square kilometre of area is covered with water and 148,647,000 square kilometre pf area is covered by land. Find the approxiate ratio of area covered with water to area covered by land converting these numbers into scientific notation.

Discussion

39.	When we factorise y2+xy+yz+xz, one of the factors is _____________
Answer» When we factorise $y^{2} + x y + y z + x z$ , one of the factors is _____________

Discussion

40.	The shaded portion of adjoining figure is represented by the fraction ______ .
Answer» The shaded portion of adjoining figure is represented by the fraction ______ .

40.

The shaded portion of adjoining figure is represented by the fraction ______ .

Answer»

The shaded portion of adjoining figure is represented by the fraction ______ .

Discussion

41.	If 50% of (x−y)=30% of (x+y), then what percent of x is y?
Answer» If $50 % of (x - y) = 30 % of (x + y)$ , then what percent of $x$ is y?

Discussion

42.	Find the area of the pathway of uniform width 1.5 m given that the length of a rectangular field is twice its breadth and the breadth measures 6 m.
Answer» Find the area of the pathway of uniform width 1.5 m given that the length of a rectangular field is twice its breadth and the breadth measures 6 m.

42.

Find the area of the pathway of uniform width 1.5 m given that the length of a rectangular field is twice its breadth and the breadth measures 6 m.

Answer»

Find the area of the pathway of uniform width 1.5 m given that the length of a rectangular field is twice its breadth and the breadth measures 6 m.

Discussion

43.	Mr. Thomas invested an amount of ₹ 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be ₹ 3508, what was the amount invested in Scheme B?
Answer» Mr. Thomas invested an amount of ₹ 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be ₹ 3508, what was the amount invested in Scheme B?

Discussion

44.	The line x + y = 1 meets x - axis at A and y - axis at B. P is the mid - point of AB P1 is the foot of the perpendicular from P to OA; M1 is that from P1 to OP; P2 is that from M1 to OA; M2 is that from P2 to OP; P3 is that from M2 to OA and so on. If Pn denotes the nth foot of the perpendicular on OA from Mn−1, then OPn =
Answer» The line x + y = 1 meets x - axis at A and y - axis at B. P is the mid - point of AB $P_{1}$ is the foot of the perpendicular from P to OA; $M_{1}$ is that from $P_{1}$ to OP; $P_{2}$ is that from $M_{1}$ to OA; $M_{2}$ is that from $P_{2}$ to OP; $P_{3}$ is that from $M_{2}$ to OA and so on. If $P_{n}$ denotes the nth foot of the perpendicular on OA from $M_{n - 1}$ , then $O P_{n}$ =

Discussion

45.	Two angles a and b form a linear pair, and 2a−3b=60∘ then 5b=___ degrees.
Answer» Two angles $a a n d b$ form a linear pair, and $2 a - 3 b = 60^{\circ}$ then $5 b =$ ___ degrees.

Discussion

46.	In a triangle one angle is 70 and other angle is such that one is less than the measure by 20 than other
Answer» In a triangle one angle is 70 and other angle is such that one is less than the measure by 20 than other

Discussion

47.	The length of a snake is 10 cm and that of a crocodile is 2 m. Pick the correct statement.
Answer» The length of a snake is 10 cm and that of a crocodile is 2 m. Pick the correct statement.

Discussion

48.	The times (in seconds) taken by 150 athletes to run a 110 m hurdle race are tabulated below Class13.8−1414−14.214.2−14.414.4−14.614.6−14.814.8−15Frequency245714820 The number of athletes who completed the race in less than 14.6 s is
Answer» The times (in seconds) taken by 150 athletes to run a 110 m hurdle race are tabulated below $\begin{matrix} C l a s s & 13.8 - 14 & 14 - 14.2 & 14.2 - 14.4 & 14.4 - 14.6 & 14.6 - 14.8 & 14.8 - 15 F r e q u e n c y & 2 & 4 & 5 & 71 & 48 & 20 \end{matrix}$ The number of athletes who completed the race in less than 14.6 s is

48.

The times (in seconds) taken by 150 athletes to run a 110 m hurdle race are tabulated below Class13.8−1414−14.214.2−14.414.4−14.614.6−14.814.8−15Frequency245714820 The number of athletes who completed the race in less than 14.6 s is

Answer»

The times (in seconds) taken by 150 athletes to run a 110 m hurdle race are tabulated below

$\begin{matrix} C l a s s & 13.8 - 14 & 14 - 14.2 & 14.2 - 14.4 & 14.4 - 14.6 & 14.6 - 14.8 & 14.8 - 15 F r e q u e n c y & 2 & 4 & 5 & 71 & 48 & 20 \end{matrix}$

The number of athletes who completed the race in less than 14.6 s is

Discussion

49.	Question 67 (a) Find the value of the given polynomial at m = 1, n = -1 and p = 2 m + n + p
Answer» Question 67 (a) Find the value of the given polynomial at m = 1, n = -1 and p = 2 m + n + p

49.

Question 67 (a) Find the value of the given polynomial at m = 1, n = -1 and p = 2 m + n + p

Answer»

Question 67 (a)

Find the value of the given polynomial at m = 1, n = -1 and p = 2

m + n + p

Discussion

50.	How many quadrilaterals can I construct with the following data: Quadrilateral PQRS with PQ = 4.5 cm, Angle P = 70∘, Angle Q = 100∘, Angle R = 80∘ and Angle S =110∘.
Answer» How many quadrilaterals can I construct with the following data: Quadrilateral PQRS with PQ = 4.5 cm, Angle P = $70^{\circ}$ , Angle Q = $100^{\circ}$ , Angle R = $80^{\circ}$ and Angle S = $110^{\circ}$ .

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Match the equtions with their solution.

The cost of a machine depreciates by 10 % every year. Find the price after 2 years, if the initial cost of the machine was ₹30000.

Solve the following inequation: −6−4x&lt;10; x ϵ Z.

Question 51 Answer True/False. t minutes are equal to 60t seconds.

How is an equation formed?

In a game of long jump, Ravi jumped for 4.77 meters, Sushweta jumped 4.55 meters, Shreya jumped for 4.65 metres, Apurva jumped for 4.95 meters. Who is the winner of this game?

The pie chart shows the amount of time that Jaison spends each day on various activities. What is the angle of the sector of the pie chart representing sports time?

Question 63 Express the given statement as an equation. Five times a number increased by 7 is 27.

Divide the sum of 37and−514 by −12.

Ramsey paid Rs 36 as interest for 2 years at 12% per year. What is the amount borrowed?

In the given figure, if ∠BAD=∠CAD,∠ABD=∠ACD, then which of the following is true ?

What is the product of (a+b) and 7a2b2?

If P(E) and P(E’) are the probabilities of two complementary events,then which of the following is always true?

If 4, x, x and 49 are in proportion, find the value of x.

Question 50 Calculate the mean, median and mode of the following data: 5, 10, 10, 12, 13 Are these three equal?

Consider the figure: If ∠A = 50∘​, ∠B = 70∘​, and x = 2y, then find the value of x +y+ ∠ACB. ___

Question 6(i) The marks (out of 100) obtained by a group of students in a science test are 85, 76, 90, 85, 39, 48, 56, 95, 81 and 75. Find the: The highest and the lowest marks obtained by the students.

A train travels 40 km at a uniform speed of 30 km/hr. Its average speed after travelling another 40 km is 45 km/hr for the whole journey.Find its speed in the second half of the journey.

What is the percentage increase in the number of students in College T in the year 2007 from the previous year (rounded off to two digits after decimal)?

Raju's house has the living room in the form of a square. One side of the room is 3.5m. If the room is to be carpated, how many square metres of carpet is required?

Question 67 (ii) Look at the shapes given below and state if it is a polyhedron using Euler's formula.

3(x−1)≤2(x−3)

Simplify and express each of the following in exponential form: (30+20)×50 [3 MARKS]

…, −4,−3,−2,−1 What order are the above integers arranged in? ___ (ascending/descending)

The length of a rectangular room is 6 m longer than its width. If each dimensions is increased by 2 m , the area of the floor of the room increases by 64 sq.m. find the original dimensions of the room?

PQR is a straight line. What is the value of x?

How many faces does a solid with 5 vertices and 10 edges have?

The magnitude of __ is expressed in degrees.

Q57. Which one of the following does not belong to the group for lack of common property?

If 97 and a63 are equivalent fractions, then the value of 'a' is ___ .

1024 is ______ power of 4.

Question 1 (iii) Which of the drawings (a) to (d) show: 3×23 a) b) c) d)

Collection and tabulation is the basic for data

Data _______ is fundamental for managing data.

Ajay earns ₹ 3000 in 10 days. He earns ₹ ___ in 25 days.

Question 89: In our own planet Earth, 361,419,000 square kilometre of area is covered with water and 148,647,000 square kilometre pf area is covered by land. Find the approxiate ratio of area covered with water to area covered by land converting these numbers into scientific notation.

When we factorise y2+xy+yz+xz, one of the factors is _____________

The shaded portion of adjoining figure is represented by the fraction ______ .

If 50% of (x−y)=30% of (x+y), then what percent of x is y?

Find the area of the pathway of uniform width 1.5 m given that the length of a rectangular field is twice its breadth and the breadth measures 6 m.

Mr. Thomas invested an amount of ₹ 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be ₹ 3508, what was the amount invested in Scheme B?

Two angles a and b form a linear pair, and 2a−3b=60∘ then 5b=___ degrees.

In a triangle one angle is 70 and other angle is such that one is less than the measure by 20 than other

The length of a snake is 10 cm and that of a crocodile is 2 m. Pick the correct statement.

The times (in seconds) taken by 150 athletes to run a 110 m hurdle race are tabulated below Class13.8−1414−14.214.2−14.414.4−14.614.6−14.814.8−15Frequency245714820 The number of athletes who completed the race in less than 14.6 s is

Question 67 (a) Find the value of the given polynomial at m = 1, n = -1 and p = 2 m + n + p

How many quadrilaterals can I construct with the following data: Quadrilateral PQRS with PQ = 4.5 cm, Angle P = 70∘, Angle Q = 100∘, Angle R = 80∘ and Angle S =110∘.

Solve the following inequation: −6−4x<10; x ϵ Z.

Consider the figure: If ∠A = 50∘, ∠B = 70∘, and x = 2y, then find the value of x +y+ ∠ACB. ___