25365 + Interview Questions in Mathematics

1.	In figure , PA, QB, RC and SD are all perpendiculars to a line l, AB = 6cm, BC = 9cm, CD = 12cm and SP = 36cm. find PQ, QR and RS.
Answer» In figure , PA, QB, RC and SD are all perpendiculars to a line l, AB = 6cm, BC = 9cm, CD = 12cm and SP = 36cm. find PQ, QR and RS.

Discussion

2.	Question 39 In case of inverse proportion, a2−=b2−
Answer» Question 39 In case of inverse proportion, $\frac{a_{2}}{-} = \frac{b_{2}}{-}$

2.

Question 39 In case of inverse proportion, a2−=b2−

Answer»

Question 39

In case of inverse proportion, $\frac{a_{2}}{-} = \frac{b_{2}}{-}$

Discussion

3.	Question 72 If a deposit of Rs 2000 earns an interest of Rs. 500 in 3 years, how much interest would a deposit of Rs. 36000 earn in 3 years with the same rate of simple interest?
Answer» Question 72 If a deposit of Rs 2000 earns an interest of Rs. 500 in 3 years, how much interest would a deposit of Rs. 36000 earn in 3 years with the same rate of simple interest?

3.

Question 72 If a deposit of Rs 2000 earns an interest of Rs. 500 in 3 years, how much interest would a deposit of Rs. 36000 earn in 3 years with the same rate of simple interest?

Answer»

Question 72

If a deposit of Rs 2000 earns an interest of Rs. 500 in 3 years, how much interest would a deposit of Rs. 36000 earn in 3 years with the same rate of simple interest?

Discussion

4.	Find the squares of the following numbers by visual method: (i) 52 (ii) 95 (iii) 505 (iv) 702 (v) 99
Answer» Find the squares of the following numbers by visual method: (i) 52 (ii) 95 (iii) 505 (iv) 702 (v) 99

Discussion

5.	Question 103(ii) Verify - (- x) = x for x=−79
Answer» Question 103(ii) Verify - (- x) = x for $x = \frac{- 7}{9}$

Discussion

6.	Find the result when the cube root of 64 is divided by the cube root of -8.
Answer» Find the result when the cube root of 64 is divided by the cube root of -8.

Discussion

7.	Three consecutive whole numbers are such that if they be divided by 5, 3 and 4 respectively; the sum of the quotients is 40. Find the numbers.
Answer» Three consecutive whole numbers are such that if they be divided by 5, 3 and 4 respectively; the sum of the quotients is 40. Find the numbers.

Discussion

8.	Which of the following properties hold good for the division of integers?
Answer» Which of the following properties hold good for the division of integers?

Discussion

9.	Evaluate: (4×103+3×1+1×10−1+6×100)=___
Answer» Evaluate: $(4 \times 10^{3} + 3 \times 1 + 1 \times 10^{- 1} + 6 \times 10^{0}) =$ ___

Discussion

10.	Simplify : (i) a2n−3.a(2n+1)(n+2)(a3)2n+1.an(2n+1)(ii) x2n+7.(x2)3n+2x4(2n+3)
Answer» Simplify : $(i) \frac{a^{2 n - 3} . a^{(2 n + 1) (n + 2)}}{{(a^{3})}^{2 n + 1} . a^{n (2 n + 1)}} (i i) \frac{x^{2 n + 7} . {(x^{2})}^{3 n + 2}}{x^{4 (2 n + 3)}}$

10.

Simplify : (i) a2n−3.a(2n+1)(n+2)(a3)2n+1.an(2n+1)(ii) x2n+7.(x2)3n+2x4(2n+3)

Answer»

Simplify :

$(i) \frac{a^{2 n - 3} . a^{(2 n + 1) (n + 2)}}{{(a^{3})}^{2 n + 1} . a^{n (2 n + 1)}} (i i) \frac{x^{2 n + 7} . {(x^{2})}^{3 n + 2}}{x^{4 (2 n + 3)}}$

Discussion

11.	In the given diagram, ∠O′OB and ∠OO′P are called
Answer» In the given diagram, $∠ O^{'} O B$ and $∠ O O^{'} P$ are called

11.

In the given diagram, ∠O′OB and ∠OO′P are called

Answer»

In the given diagram, $∠ O^{'} O B$ and $∠ O O^{'} P$ are called

Discussion

12.	In a fraction twice the numerator is 2 more than the denominator if she is added to the numerator and to the denominator the new faction is 2 / 3 find the original fraction
Answer» In a fraction twice the numerator is 2 more than the denominator if she is added to the numerator and to the denominator the new faction is 2 / 3 find the original fraction

Discussion

13.	How to solve numericals in phsics
Answer» How to solve numericals in phsics

Discussion

14.	In the given figure, AC = AD and BC = BD. Which of the following statements are correct?
Answer» In the given figure, AC = AD and BC = BD. Which of the following statements are correct?

14.

In the given figure, AC = AD and BC = BD. Which of the following statements are correct?

Answer»

In the given figure, AC = AD and BC = BD. Which of the following statements are correct?

Discussion

15.	Nidhi purchsedtwo saree for rs 2150 each.she sold one saree at a loss of 8./. And the other at a gain if she had a gain of rs 1230 on the whole transaction find the selling price of the second saree
Answer» Nidhi purchsedtwo saree for rs 2150 each.she sold one saree at a loss of 8./. And the other at a gain if she had a gain of rs 1230 on the whole transaction find the selling price of the second saree

Discussion

16.	Rakesh has a cumulative deposit account and deposits Rs. 900 per month for a period of 2 years. If he gets Rs. 23850 at the time of maturity. Find the rate of interest.
Answer» Rakesh has a cumulative deposit account and deposits Rs. 900 per month for a period of 2 years. If he gets Rs. 23850 at the time of maturity. Find the rate of interest.

Discussion

17.	The length, breadth and height of the cuboid are 5cm, 7cm and 3cm respectively, then the volume of the cuboid is .
Answer» The length, breadth and height of the cuboid are 5cm, 7cm and 3cm respectively, then the volume of the cuboid is .

Discussion

18.	Find the value of x in the below diagram. [4 MARKS]
Answer» Find the value of x in the below diagram. [4 MARKS]

Discussion

19.	If a diagonal AC of a parallelogram ABCD is of length 6 cm and side AB is of length 4 cm, then the length of side BC will be
Answer» If a diagonal AC of a parallelogram ABCD is of length 6 cm and side AB is of length 4 cm, then the length of side BC will be

Discussion

20.	The area of a rectangle is 24cm2 . If its width is 6 cm, then length is
Answer» The area of a rectangle is 24cm² . If its width is 6 cm, then length is

Discussion

21.	Multiply 137592 by the smallest number so that the product is a perfect cube. Also, find the cube root of the product. [4 MARKS]
Answer» Multiply 137592 by the smallest number so that the product is a perfect cube. Also, find the cube root of the product. [4 MARKS]

Discussion

22.	Factorise Completely : a2−16b2−2a−8b
Answer» Factorise Completely : $a^{2} - 16 b^{2} - 2 a - 8 b$

Discussion

23.	Using the pattern 112 = 121 and 1112 = 12321, we get 11112 =
Answer» Using the pattern 11² = 121 and 111² = 12321, we get 1111² =

Discussion

24.	A man purchases two fans for Rs. 2160. By selling one fan at a profit of 15% and the other at a loss of 9% he neither gains nor losses in the whole transaction. Find the cost price of each fan.
Answer» A man purchases two fans for $R s . 2160.$ By selling one fan at a profit of $15 %$ and the other at a loss of $9 %$ he neither gains nor losses in the whole transaction. Find the cost price of each fan.

Discussion

25.	If the sum of three consecutive multiples of 9 is 108, then find the average of multiples.36
Answer» If the sum of three consecutive multiples of 9 is 108, then find the average of multiples. 36

Discussion

26.	From a corner of a cube, a smaller cube is cut. What can you say about the surface area and volume of the remaining portion of the cube?
Answer» From a corner of a cube, a smaller cube is cut. What can you say about the surface area and volume of the remaining portion of the cube?

Discussion

27.	Question 13 In reference to a circle the value of π is equal to (a) AreaCircumference (b) AreaDiameter (c) CircumferenceDiameter (d) CircumferenceRadius
Answer» Question 13 In reference to a circle the value of $π$ is equal to (a) $\frac{A r e a}{C i r c u m f e r e n c e}$ (b) $\frac{A r e a}{D i a m e t e r}$ (c) $\frac{C i r c u m f e r e n c e}{D i a m e t e r}$ (d) $\frac{C i r c u m f e r e n c e}{R a d i u s}$

Discussion

28.	Consider the marks obtained by 20 students out of 100 marks in a science quiz 30 40 50 35 55 60 40 30 60 75 75 60 30 40 60 55 35 50 40 30 What is the frequency of 40 marks?
Answer» Consider the marks obtained by 20 students out of 100 marks in a science quiz 30 40 50 35 55 60 40 30 60 75 75 60 30 40 60 55 35 50 40 30 What is the frequency of 40 marks?

28.

Consider the marks obtained by 20 students out of 100 marks in a science quiz 30 40 50 35 55 60 40 30 60 75 75 60 30 40 60 55 35 50 40 30 What is the frequency of 40 marks?

Answer»

Consider the marks obtained by 20 students out of 100 marks in a science quiz

30 40 50 35 55 60 40 30 60 75

75 60 30 40 60 55 35 50 40 30

What is the frequency of 40 marks?

Discussion

29.	What are the groups into which large data is condensed called?
Answer» What are the groups into which large data is condensed called?

Discussion

30.	Calculate the median for the following distribution. Marks obtainedNumber of studentsBelow 106Below 2015Below 3029Below 4041Below 5060Below 6070 [4 MARKS]
Answer» Calculate the median for the following distribution. $\begin{matrix} M a r k s o b t a i n e d & N u m b e r o f s t u d e n t s B e l o w 10 & 6 B e l o w 20 & 15 B e l o w 30 & 29 B e l o w 40 & 41 B e l o w 50 & 60 B e l o w 60 & 70 \end{matrix}$ [4 MARKS]

Discussion

31.	How many rational numbers are there between 2/5 and 7/5?
Answer» How many rational numbers are there between 2/5 and 7/5?

Discussion

32.	The sum of all the interior angles of a decagon is ___
Answer» The sum of all the interior angles of a decagon is ___

Discussion

33.	In each of the problems below the result of doing some operation on a number is given. Find the number? 1). 3 added to double is 101. 2). 2 added to triple is 101. 3). 3 subtracted from double is 101. 4). 2 subtracted from triple is 101.
Answer» In each of the problems below the result of doing some operation on a number is given. Find the number? 1). $3$ added to double is $101.$ 2). $2$ added to triple is $101.$ 3). $3$ subtracted from double is $101.$ 4). $2$ subtracted from triple is $101.$

33.

In each of the problems below the result of doing some operation on a number is given. Find the number? 1). 3 added to double is 101. 2). 2 added to triple is 101. 3). 3 subtracted from double is 101. 4). 2 subtracted from triple is 101.

Answer»

In each of the problems below the result of doing some operation on a number is given. Find the number?

1). $3$ added to double is $101.$

2). $2$ added to triple is $101.$

3). $3$ subtracted from double is $101.$

4). $2$ subtracted from triple is $101.$

Discussion

34.	Formula to find discount percent is:
Answer» Formula to find discount percent is:

Discussion

35.	Ramya wanted to arrange 90 barfi(with 1×1 dimension) in a box. She has 5 boxes of dimension 10×9, 9×10, 5×18, 16×5 and 18×5. Which box cannot be used to arrange all the barfis?
Answer» Ramya wanted to arrange 90 barfi(with $1 \times 1$ dimension) in a box. She has 5 boxes of dimension $10 \times 9$ , $9 \times 10$ , $5 \times 18$ , $16 \times 5$ and $18 \times 5$ . Which box cannot be used to arrange all the barfis?

Discussion

36.	Evaluate after rationalising the denominator of 25/(√40 - √80) , it being given that √5 = 2.236 and √10 = 3.162
Answer» Evaluate after rationalising the denominator of 25/(√40 - √80) , it being given that √5 = 2.236 and √10 = 3.162

Discussion

37.	Solve for x. ABCD is a parallelogram. AE = 6x + 13, and EC = 8x – 3.
Answer» Solve for x. ABCD is a parallelogram. AE = 6x + 13, and EC = 8x – 3.

37.

Solve for x. ABCD is a parallelogram. AE = 6x + 13, and EC = 8x – 3.

Answer»

Solve for x. ABCD is a parallelogram. AE = 6x + 13, and EC = 8x – 3.

Discussion

38.	It is known that a box of 600 electric bulbs contains 12 defective bulbs. One bulb is taken out at random from this box.What is the probability that it is a non-defective bulb?
Answer» It is known that a box of 600 electric bulbs contains 12 defective bulbs. One bulb is taken out at random from this box.What is the probability that it is a non-defective bulb?

Discussion

39.	A={x:x∈R, x2=16 and 2x=6} can be represented in the roster form as _________ .
Answer» $A = {x : x \in R, x^{2} = 16 and 2 x = 6}$ can be represented in the roster form as _________ .

Discussion

40.	Factors of −x3−125
Answer» Factors of $- x^{3} - 125$

40.

Factors of −x3−125

Answer»

Factors of

$- x^{3} - 125$

Discussion

41.	What is the cube root of 74088?
Answer» What is the cube root of 74088?

Discussion

42.	For each set of rational numbers, given below, verify the associative property of addition of rational numbers: (i) 12,23 and−16(ii) −25,415 and −710(iii) −79,2−3and −518(iv) −1,56~and −23
Answer» For each set of rational numbers, given below, verify the associative property of addition of rational numbers: $(i) \frac{1}{2}, \frac{2}{3} and - \frac{1}{6} (i i) \frac{- 2}{5}, \frac{4}{15} and \frac{- 7}{10} (i i i) \frac{- 7}{9}, \frac{2}{- 3} and \frac{- 5}{18} (i v) - 1, \frac{5}{6} ~ a n d \frac{- 2}{3}$

Discussion

43.	The number −157, on the number line, lies between ________.
Answer» The number $\frac{- 15}{7}$ , on the number line, lies between ________.

Discussion

44.	The cost of 15 identical article is ₹ 1050, how many articles can be bought for ₹ 5250
Answer» The cost of 15 identical article is ₹ 1050, how many articles can be bought for ₹ 5250

Discussion

45.	What is the probability that product of two integers chosen at random has the same unit’s digit as the integers themselves?
Answer» What is the probability that product of two integers chosen at random has the same unit’s digit as the integers themselves?

Discussion

46.	PQR is a triangle right angled at P. If PQ = 10 cm and PR = 24 cm, find QR.
Answer» PQR is a triangle right angled at P. If PQ = 10 cm and PR = 24 cm, find QR.

Discussion

47.	Factors of the following polynomial: 3x^2yz
Answer» Factors of the following polynomial: 3x^2yz

Discussion

48.	Construct a quadrilateral ABCD with AB = 3.5 cm, BC = 4.0 cm, CD = 5.0 cm, DA = 4.0 cm and ∠B=45∘ [3 MARKS]
Answer» Construct a quadrilateral ABCD with AB = 3.5 cm, BC = 4.0 cm, CD = 5.0 cm, DA = 4.0 cm and $∠ B = 45^{\circ}$ [3 MARKS]

Discussion

49.	Which geometrical figure do we obtain by joining the following three figures (in the same order and orientation as shown below)? __
Answer» Which geometrical figure do we obtain by joining the following three figures (in the same order and orientation as shown below)? __

49.

Which geometrical figure do we obtain by joining the following three figures (in the same order and orientation as shown below)? __

Answer»

Which geometrical figure do we obtain by joining the following three figures (in the same order and orientation as shown below)?

__

Discussion

50.	For the equation: 3z + 72 = 52, 'z' is equal to ____ ?
Answer» For the equation: 3z + $\frac{7}{2}$ = $\frac{5}{2}$ , 'z' is equal to ____ ?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

In figure , PA, QB, RC and SD are all perpendiculars to a line l, AB = 6cm, BC = 9cm, CD = 12cm and SP = 36cm. find PQ, QR and RS.

Question 39 In case of inverse proportion, a2−=b2−

Question 72 If a deposit of Rs 2000 earns an interest of Rs. 500 in 3 years, how much interest would a deposit of Rs. 36000 earn in 3 years with the same rate of simple interest?

Find the squares of the following numbers by visual method: (i) 52 (ii) 95 (iii) 505 (iv) 702 (v) 99

Question 103(ii) Verify - (- x) = x for x=−79

Find the result when the cube root of 64 is divided by the cube root of -8.

Three consecutive whole numbers are such that if they be divided by 5, 3 and 4 respectively; the sum of the quotients is 40. Find the numbers.

Which of the following properties hold good for the division of integers?

Evaluate: (4×103+3×1+1×10−1+6×100)=___

Simplify : (i) a2n−3.a(2n+1)(n+2)(a3)2n+1.an(2n+1)(ii) x2n+7.(x2)3n+2x4(2n+3)

In the given diagram, ∠O′OB and ∠OO′P are called

In a fraction twice the numerator is 2 more than the denominator if she is added to the numerator and to the denominator the new faction is 2 / 3 find the original fraction

How to solve numericals in phsics

In the given figure, AC = AD and BC = BD. Which of the following statements are correct?

Nidhi purchsedtwo saree for rs 2150 each.she sold one saree at a loss of 8./. And the other at a gain if she had a gain of rs 1230 on the whole transaction find the selling price of the second saree

Rakesh has a cumulative deposit account and deposits Rs. 900 per month for a period of 2 years. If he gets Rs. 23850 at the time of maturity. Find the rate of interest.

The length, breadth and height of the cuboid are 5cm, 7cm and 3cm respectively, then the volume of the cuboid is .

Find the value of x in the below diagram. [4 MARKS] ​

If a diagonal AC of a parallelogram ABCD is of length 6 cm and side AB is of length 4 cm, then the length of side BC will be

The area of a rectangle is 24cm2 . If its width is 6 cm, then length is

Multiply 137592 by the smallest number so that the product is a perfect cube. Also, find the cube root of the product. [4 MARKS]

Factorise Completely : a2−16b2−2a−8b

Using the pattern 112 = 121 and 1112 = 12321, we get 11112 =

A man purchases two fans for Rs. 2160. By selling one fan at a profit of 15% and the other at a loss of 9% he neither gains nor losses in the whole transaction. Find the cost price of each fan.

If the sum of three consecutive multiples of 9 is 108, then find the average of multiples.36

From a corner of a cube, a smaller cube is cut. What can you say about the surface area and volume of the remaining portion of the cube?

Question 13 In reference to a circle the value of π is equal to (a) AreaCircumference (b) AreaDiameter (c) CircumferenceDiameter (d) CircumferenceRadius

Consider the marks obtained by 20 students out of 100 marks in a science quiz 30 40 50 35 55 60 40 30 60 75 75 60 30 40 60 55 35 50 40 30 What is the frequency of 40 marks?

What are the groups into which large data is condensed called?

Calculate the median for the following distribution. Marks obtainedNumber of studentsBelow 106Below 2015Below 3029Below 4041Below 5060Below 6070 [4 MARKS]

How many rational numbers are there between 2/5 and 7/5?

The sum of all the interior angles of a decagon is ___

In each of the problems below the result of doing some operation on a number is given. Find the number? 1). 3 added to double is 101. 2). 2 added to triple is 101. 3). 3 subtracted from double is 101. 4). 2 subtracted from triple is 101.

Formula to find discount percent is:

Ramya wanted to arrange 90 barfi(with 1×1 dimension) in a box. She has 5 boxes of dimension 10×9, 9×10, 5×18, 16×5 and 18×5. Which box cannot be used to arrange all the barfis?

Evaluate after rationalising the denominator of 25/(√40 - √80) , it being given that √5 = 2.236 and √10 = 3.162

Solve for x. ABCD is a parallelogram. AE = 6x + 13, and EC = 8x – 3.

It is known that a box of 600 electric bulbs contains 12 defective bulbs. One bulb is taken out at random from this box.What is the probability that it is a non-defective bulb?

A={x:x∈R, x2=16 and 2x=6} can be represented in the roster form as _________ .

Factors of −x3−125

What is the cube root of 74088?

For each set of rational numbers, given below, verify the associative property of addition of rational numbers: (i) 12,23 and−16(ii) −25,415 and −710(iii) −79,2−3and −518(iv) −1,56~and −23

The number −157, on the number line, lies between ________.

The cost of 15 identical article is ₹ 1050, how many articles can be bought for ₹ 5250

What is the probability that product of two integers chosen at random has the same unit’s digit as the integers themselves?

PQR is a triangle right angled at P. If PQ = 10 cm and PR = 24 cm, find QR.

Factors of the following polynomial: 3x^2yz

Construct a quadrilateral ABCD with AB = 3.5 cm, BC = 4.0 cm, CD = 5.0 cm, DA = 4.0 cm and ∠B=45∘ [3 MARKS]

Which geometrical figure do we obtain by joining the following three figures (in the same order and orientation as shown below)? __

For the equation: 3z + 72 = 52, 'z' is equal to ____ ?

Find the value of x in the below diagram. [4 MARKS]