25365 + Interview Questions in Mathematics

1.	If A and B are two physical quantities havingdifferent dimensions. Then which of the followingoperations might be possible?
Answer» If A and B are two physical quantities havingdifferent dimensions. Then which of the followingoperations might be possible?

Discussion

2.	Simplify:[(5z−2)2+40z]÷(5z+2)
Answer» Simplify: $[{(5 z - 2)}^{2} + 40 z] \div (5 z + 2)$

Discussion

3.	36. What is atomic number Z when frequency =2500 Hz and value of a =1 and b=1? 1. 50 2. 40 3. 51 4. 53
Answer» 36. What is atomic number Z when frequency =2500 Hz and value of a =1 and b=1? 1. 50 2. 40 3. 51 4. 53

Discussion

4.	Question 5If Q is a point on the side SR of a ΔPSR such that PQ = PR, then prove that PS > PQ.
Answer» Question 5 If Q is a point on the side SR of a $Δ P S R$ such that PQ = PR, then prove that PS > PQ.

Discussion

5.	Question 111(iii)Use the distributivity of multiplication of rational numbers over addition to simplify.27×[716−214]
Answer» Question 111(iii) Use the distributivity of multiplication of rational numbers over addition to simplify. $\frac{2}{7} \times [\frac{7}{16} - \frac{21}{4}]$

Discussion

6.	The volume of a closed cubical tank is 1331 cubic metres. Find the cost of painting its complete surface area from outside at the rate of ₹ 10 per square meter.
Answer» The volume of a closed cubical tank is 1331 cubic metres. Find the cost of painting its complete surface area from outside at the rate of ₹ 10 per square meter.

Discussion

7.	Express 34 as a rational number with denominator -80.
Answer» Express $\frac{3}{4}$ as a rational number with denominator -80.

Discussion

8.	The price of watch of watch including 10 % VAT is Rs. 825. What is its basic price ? (a) Rs. 742.50 (b) Rs. 775 (c) Rs. 750 (d) Rs. 907.50
Answer» The price of watch of watch including 10 % VAT is Rs. 825. What is its basic price ? (a) Rs. 742.50 (b) Rs. 775 (c) Rs. 750 (d) Rs. 907.50

8.

The price of watch of watch including 10 % VAT is Rs. 825. What is its basic price ? (a) Rs. 742.50 (b) Rs. 775 (c) Rs. 750 (d) Rs. 907.50

Answer»

The price of watch of watch including 10 % VAT is Rs. 825. What is its basic price ?

(a) Rs. 742.50

(b) Rs. 775

(c) Rs. 750

(d) Rs. 907.50

Discussion

9.

Speeds versus times taken by a car to travel a certain distance are tabulated below. Speed (mph) Time (minutes) 30120409550856060Choose the correct option for the line of best fit.

Answer»

Speeds versus times taken by a car to travel a certain distance are tabulated below.

Speed (mph)
Time (minutes)

$30$	$120$
$40$	$95$
$50$	$85$
$60$	$60$

Choose the correct option for the line of best fit.

Discussion

10.	What is the area of circle pls with examples ?
Answer» What is the area of circle pls with examples ?

Discussion

11.	Question 74 On throwing a die once, the probability of occurence of a composite number is 12
Answer» Question 74 On throwing a die once, the probability of occurence of a composite number is $\frac{1}{2}$

11.

Question 74 On throwing a die once, the probability of occurence of a composite number is 12

Answer»

Question 74

On throwing a die once, the probability of occurence of a composite number is $\frac{1}{2}$

Discussion

12.	Andy has Rs. 1540 in his pocket and he spend Rs. 200 on his hair cutting and Rs.100 on his face wash. Find the amount left with him.
Answer» Andy has Rs. 1540 in his pocket and he spend Rs. 200 on his hair cutting and Rs.100 on his face wash. Find the amount left with him.

Discussion

13.	Which of the following should be the LAST sentence after rearrangement?
Answer» Which of the following should be the LAST sentence after rearrangement?

Discussion

14.	By selling a scooter to a customer for Rs 11,200, an auto dealer makes a profit of 12% on his cost price what is the cost price?
Answer» By selling a scooter to a customer for Rs 11,200, an auto dealer makes a profit of 12% on his cost price what is the cost price?

Discussion

15.	If volume of the cube is 343 m3 then find the side of the cube
Answer» If volume of the cube is 343 $m^{3}$ then find the side of the cube

Discussion

16.	Question 53(i)The graph given below shows the marks obtained out of 10 by Sonia in two different tests. Study the graph and answer the questions that follow.What information is represented by the axes?
Answer» Question 53(i) The graph given below shows the marks obtained out of 10 by Sonia in two different tests. Study the graph and answer the questions that follow. What information is represented by the axes?

Discussion

17.	Factorise ( l + m)sq — 4lm
Answer» Factorise ( l + m)sq — 4lm

Discussion

18.	Question 55(vii)Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow.Calculate the average speed of the man from A to B and B to C.
Answer» Question 55(vii) Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow. Calculate the average speed of the man from A to B and B to C.

Discussion

19.	The cost of a bike, purchased 2 years ago, depreciates at the rate of 20% every year. If its present worth is ₹35600, find its purchase price.
Answer» The cost of a bike, purchased 2 years ago, depreciates at the rate of $20 %$ every year. If its present worth is ₹35600, find its purchase price.

Discussion

20.	Choose the correct answer to complete this symmetrical pattern.
Answer» Choose the correct answer to complete this symmetrical pattern.

Discussion

21.	If A and B are the monomial, binomial and trinomial algebraic expressions, then find the maximum number of terms inA × (B + B + A + B + B + A + A)
Answer» If A and B are the monomial, binomial and trinomial algebraic expressions, then find the maximum number of terms in A × (B + B + A + B + B + A + A)

Discussion

22.	John is playing a game in which a player scores 10 points after passing each level of the game. Now, he is in 5th level and has lost 14 points by mistake. What is his total score?
Answer» John is playing a game in which a player scores 10 points after passing each level of the game. Now, he is in 5th level and has lost 14 points by mistake. What is his total score?

Discussion

23.	If y-coordinate of a point is zero, then it always lies on ____________ axis.
Answer» If y-coordinate of a point is zero, then it always lies on ____________ axis.

Discussion

24.	42.A tree trunk of diameter 20 CM Lies in a horizontal field. A lazy grasshopper wants to jump over the trunk. Find the minimum take-off speed of grasshopper that will suffice.( air resistance is negligible).
Answer» 42.A tree trunk of diameter 20 CM Lies in a horizontal field. A lazy grasshopper wants to jump over the trunk. Find the minimum take-off speed of grasshopper that will suffice.( air resistance is negligible).

Discussion

25.	A straight line passing through point (2,3) have a slope α. What will be the value of α (slope) at point (−2,2) ?
Answer» A straight line passing through point $(2, 3)$ have a slope $α$ . What will be the value of $α$ (slope) at point $(- 2, 2)$ ?

Discussion

26.	Write a rational number equal to 47 with 63 as the denominator.
Answer» Write a rational number equal to $\frac{4}{7}$ with 63 as the denominator.

Discussion

27.	4. Let A={a, b, c, d}. B and C are two sets such that B and C subset of A and B intersection c = 0. Number of possible ordered pair (B, C) satisfying above condition is
Answer» 4. Let A={a, b, c, d}. B and C are two sets such that B and C subset of A and B intersection c = 0. Number of possible ordered pair (B, C) satisfying above condition is

Discussion

28.	Question 5Simplify:(2x−5y)3–(2x+5y)3
Answer» Question 5 Simplify: $(2 x - 5 y)^{3} - (2 x + 5 y)^{3}$

Discussion

29.	The median of the data : 78,56,22,34,45,54,39,68,54,84 is (a) 45(b) 49.5(c) 53.5(d) 56
Answer» The median of the data : 78,56,22,34,45,54,39,68,54,84 is (a) 45 (b) 49.5 (c) 53.5 (d) 56

Discussion

30.	The standard notation of 1650000 is given by .
Answer» The standard notation of 1650000 is given by .

Discussion

31.	In the given figure, PQRS is a rectangle if ∠RPQ=30∘. Then, the value of (x+y) is:
Answer» In the given figure, PQRS is a rectangle if $∠ R P Q = 30^{\circ}$ . Then, the value of $(x + y)$ is:

Discussion

32.	If two complementary angles are in the ratio 1:5, find the angles.
Answer» If two complementary angles are in the ratio 1:5, find the angles.

Discussion

33.	If x=(−25)30÷(−25)28 and y=(−25)2×(−25)3, then find the value of (x3÷y)2.
Answer» If $x = {(\frac{- 2}{5})}^{30} \div {(\frac{- 2}{5})}^{28}$ and $y = {(\frac{- 2}{5})}^{2} \times {(\frac{- 2}{5})}^{3}$ , then find the value of $(x^{3} \div y)^{2}$ .

Discussion

34.	If : 56×−712×x14 = 54, find x.
Answer» If : $\frac{5}{6} \times \frac{- 7}{12} \times \frac{x}{14}$ = $\frac{5}{4}$ , find $x$ .

Discussion

35.	3(3x-4)-2(4x-5)=6
Answer» 3(3x-4)-2(4x-5)=6

Discussion

36.	The compound interest on Rs. 8,000 at 20% per annum for 9 months compounded quarterly is
Answer» The compound interest on Rs. 8,000 at $20 %$ per annum for 9 months compounded quarterly is

Discussion

37.	Solve::x+2y+z=3, x+2z=8, 3x-2y=8
Answer» Solve::x+2y+z=3, x+2z=8, 3x-2y=8

Discussion

38.	If the number of divisions on the circular scale is 100 and the number of full rotations given to screw is 8 and dis†an ce moved by the screw is 4mm then what will be the least count of the screw gauge
Answer» If the number of divisions on the circular scale is 100 and the number of full rotations given to screw is 8 and dis†an ce moved by the screw is 4mm then what will be the least count of the screw gauge

Discussion

39.	Salman sells two cycles at Rs. 2500 each. If he makes a profit of 25% on one and incurs a loss of 25% on the other, find his net profit or loss %.
Answer» Salman sells two cycles at $R s . 2500$ each. If he makes a profit of $25 %$ on one and incurs a loss of $25 %$ on the other, find his net profit or loss $% .$

Discussion

40.	If a set has 8 subsets, then it contains ___ elements
Answer» If a set has 8 subsets, then it contains ___ elements

Discussion

41.	What is the coefficient of the term obtained when 24xy2 is divided by 8xy?
Answer» What is the coefficient of the term obtained when $24 x y^{2}$ is divided by $8 x y$ ?

Discussion

42.	Raka has ₹52 and is looking for a present for his sister’s birthday. He spots a pair of bangles worth ₹120 at a half-price sale. Can he buy them?
Answer» Raka has ₹52 and is looking for a present for his sister’s birthday. He spots a pair of bangles worth ₹120 at a half-price sale. Can he buy them?

Discussion

43.	Find the value of ‘x’, when 3x=√39.
Answer» Find the value of ‘x’, when $3^{x} = \frac{\sqrt{3}}{9}$ .

Discussion

44.	The side AB of a parallelogram ABCD is produced to any point P.A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed (see the following figure). Show that ar (ABCD)=ar(PBQR).
Answer» The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed (see the following figure). Show that ar (ABCD)=ar(PBQR).

Discussion

45.	In figure, area of parallelogram is 64 m2.Its sides are 16 m and 8 m.Find the height h1 and h2.
Answer» In figure, area of parallelogram is $64 m^{2} .$ Its sides are 16 m and 8 m.Find the height $h_{1} a n d h_{2} .$

Discussion

46.	The remainder obtained when −92p2 is divided by 2p is
Answer» The remainder obtained when $- 92 p^{2}$ is divided by $2 p$ is

Discussion

47.	The product of two rational numbers is −916. If one of the numbers is −43, what is the other number?
Answer» The product of two rational numbers is $\frac{- 9}{16}$ . If one of the numbers is $\frac{- 4}{3}$ , what is the other number?

Discussion

48.	Which of the following properties are common in the Median and Altitude of an equilateral triangle?
Answer» Which of the following properties are common in the Median and Altitude of an equilateral triangle?

Discussion

49.	Find the value 30% of 30
Answer» Find the value 30% of 30

Discussion

50.	Question 57(iii)Study the graph and answer the questions that follow.On which day was the temperature 31∘ C?
Answer» Question 57(iii) Study the graph and answer the questions that follow. On which day was the temperature $31^{\circ}$ C?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If A and B are two physical quantities havingdifferent dimensions. Then which of the followingoperations might be possible?

Simplify:[(5z−2)2+40z]÷(5z+2)

36. What is atomic number Z when frequency =2500 Hz and value of a =1 and b=1? 1. 50 2. 40 3. 51 4. 53

Question 5If Q is a point on the side SR of a ΔPSR such that PQ = PR, then prove that PS > PQ.

Question 111(iii)Use the distributivity of multiplication of rational numbers over addition to simplify.27×[716−214]

The volume of a closed cubical tank is 1331 cubic metres. Find the cost of painting its complete surface area from outside at the rate of ₹ 10 per square meter.

Express 34 as a rational number with denominator -80.

The price of watch of watch including 10 % VAT is Rs. 825. What is its basic price ? (a) Rs. 742.50 (b) Rs. 775 (c) Rs. 750 (d) Rs. 907.50

&lt;!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--&gt;Speeds versus times taken by a car to travel a certain distance are tabulated below. Speed (mph) Time (minutes) 30120409550856060Choose the correct option for the line of best fit.

What is the area of circle pls with examples ?

Question 74 On throwing a die once, the probability of occurence of a composite number is 12

Andy has Rs. 1540 in his pocket and he spend Rs. 200 on his hair cutting and Rs.100 on his face wash. Find the amount left with him.

Which of the following should be the LAST sentence after rearrangement?

By selling a scooter to a customer for Rs 11,200, an auto dealer makes a profit of 12% on his cost price what is the cost price?

If volume of the cube is 343 m3 then find the side of the cube

Question 53(i)The graph given below shows the marks obtained out of 10 by Sonia in two different tests. Study the graph and answer the questions that follow.What information is represented by the axes?

Factorise ( l + m)sq — 4lm

Question 55(vii)Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow.Calculate the average speed of the man from A to B and B to C.

The cost of a bike, purchased 2 years ago, depreciates at the rate of 20% every year. If its present worth is ₹35600, find its purchase price.

Choose the correct answer to complete this symmetrical pattern.

If A and B are the monomial, binomial and trinomial algebraic expressions, then find the maximum number of terms inA × (B + B + A + B + B + A + A)

John is playing a game in which a player scores 10 points after passing each level of the game. Now, he is in 5th level and has lost 14 points by mistake. What is his total score?

If y-coordinate of a point is zero, then it always lies on ____________ axis.

42.A tree trunk of diameter 20 CM Lies in a horizontal field. A lazy grasshopper wants to jump over the trunk. Find the minimum take-off speed of grasshopper that will suffice.( air resistance is negligible).

A straight line passing through point (2,3) have a slope α. What will be the value of α (slope) at point (−2,2) ?

Write a rational number equal to 47 with 63 as the denominator.

4. Let A={a, b, c, d}. B and C are two sets such that B and C subset of A and B intersection c = 0. Number of possible ordered pair (B, C) satisfying above condition is

Question 5Simplify:​​​​​(2x−5y)3–(2x+5y)3

The median of the data : 78,56,22,34,45,54,39,68,54,84 is (a) 45(b) 49.5(c) 53.5(d) 56

The standard notation of 1650000 is given by .

In the given figure, PQRS is a rectangle if ∠RPQ=30∘. Then, the value of (x+y) is:

If two complementary angles are in the ratio 1:5, find the angles.

If x=(−25)30÷(−25)28 and y=(−25)2×(−25)3, then find the value of (x3÷y)2.

If : 56×−712×x14 = 54, find x.

3(3x-4)-2(4x-5)=6

The compound interest on Rs. 8,000 at 20% per annum for 9 months compounded quarterly is

Solve::x+2y+z=3, x+2z=8, 3x-2y=8

If the number of divisions on the circular scale is 100 and the number of full rotations given to screw is 8 and dis†an ce moved by the screw is 4mm then what will be the least count of the screw gauge

Salman sells two cycles at Rs. 2500 each. If he makes a profit of 25% on one and incurs a loss of 25% on the other, find his net profit or loss %.

If a set has 8 subsets, then it contains ___ elements

What is the coefficient of the term obtained when 24xy2 is divided by 8xy?

Raka has ₹52 and is looking for a present for his sister’s birthday. He spots a pair of bangles worth ₹120 at a half-price sale. Can he buy them?

Find the value of ‘x’, when 3x=√39.

The side AB of a parallelogram ABCD is produced to any point P.A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed (see the following figure). Show that ar (ABCD)=ar(PBQR).

In figure, area of parallelogram is 64 m2.Its sides are 16 m and 8 m.Find the height h1 and h2.

The remainder obtained when −92p2 is divided by 2p is

The product of two rational numbers is −916. If one of the numbers is −43, what is the other number?

Which of the following properties are common in the Median and Altitude of an equilateral triangle?

Find the value 30% of 30

Question 57(iii)Study the graph and answer the questions that follow.On which day was the temperature 31∘ C?

Speeds versus times taken by a car to travel a certain distance are tabulated below. Speed (mph) Time (minutes) 30120409550856060Choose the correct option for the line of best fit.

Question 5Simplify:(2x−5y)3–(2x+5y)3