25365 + Interview Questions in Mathematics

1.	If a number x is divided by 95, then remainder is 30. If the same no x is divided by 5, then what is the remainder.
Answer» If a number x is divided by 95, then remainder is 30. If the same no x is divided by 5, then what is the remainder.

Discussion

2.	Hi, I don't understand the identities. What are the various identities?
Answer» Hi, I don't understand the identities. What are the various identities?

2.

Hi, I don't understand the identities. What are the various identities?

Answer»

Hi,

I don't understand the identities.

What are the various identities?

Discussion

3.	Question 3(ii) Find the: Probability of getting an ace from a well-shuffled deck of 52 playing cards.
Answer» Question 3(ii) Find the: Probability of getting an ace from a well-shuffled deck of 52 playing cards.

Discussion

4.	Question 2(iii) Write the additive inverse of each of the following: −6−5
Answer» Question 2(iii) Write the additive inverse of each of the following: $\frac{- 6}{- 5}$

Discussion

5.	Express in standard form : 0.000000000567 Express in usual form : 4.5*10 raise to the power -6
Answer» Express in standard form : 0.000000000567 Express in usual form : 4.5*10 raise to the power -6

5.

Express in standard form : 0.000000000567 Express in usual form : 4.5*10 raise to the power -6

Answer»

Express in standard form :

0.000000000567

Express in usual form :

4.5*10 raise to the power -6

Discussion

6.	To construct a square with diagonal AC =6.2 cm which of the following properties of a square do we use?
Answer» To construct a square with diagonal AC =6.2 cm which of the following properties of a square do we use?

Discussion

7.	Find the height of the resultant figure if we fold the figure along the borders to form a closed figure.
Answer» Find the height of the resultant figure if we fold the figure along the borders to form a closed figure.

7.

Find the height of the resultant figure if we fold the figure along the borders to form a closed figure.

Answer»

Find the height of the resultant figure if we fold the figure along the borders to form a closed figure.

Discussion

8.	In a class of 100 students, 12 students drink only milk and 5 students drink only coffee and 8 students drink only tea. Other report says 30 students take both coffee and tea, 25 students take milk and tea and 20 students take only milk and coffee. 10 students drink all the three. Find the number of students who do not drink anything. ___
Answer» In a class of 100 students, 12 students drink only milk and 5 students drink only coffee and 8 students drink only tea. Other report says 30 students take both coffee and tea, 25 students take milk and tea and 20 students take only milk and coffee. 10 students drink all the three. Find the number of students who do not drink anything. ___

Discussion

9.	If √10=3.162 then find the value of 1/√10.
Answer» If √10=3.162 then find the value of 1/√10.

Discussion

10.	The five sentences (labelled 1, 2, 3, 4, 5) given in this question, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a number. Decide on the proper order for the sentences and key in this sequence of five numbers as your answer.___
Answer» The five sentences (labelled 1, 2, 3, 4, 5) given in this question, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a number. Decide on the proper order for the sentences and key in this sequence of five numbers as your answer.___

Discussion

11.	Leela sold her gold necklace at a profit of 7% if she had sold it for rupees 294 more, she would have got 10% profit find the cost price .
Answer» Leela sold her gold necklace at a profit of 7% if she had sold it for rupees 294 more, she would have got 10% profit find the cost price .

Discussion

12.	The measures of the angles of a quadrilateral taken in order are in the ratio 1:2:3:4. The quadrilateral is a___
Answer» The measures of the angles of a quadrilateral taken in order are in the ratio 1:2:3:4. The quadrilateral is a___

Discussion

13.	State the type of sentence. Adieu, my dearest friend - may you be happy! - and then your Clarissa cannot be wholly miserable.
Answer» State the type of sentence. Adieu, my dearest friend - may you be happy! - and then your Clarissa cannot be wholly miserable.

13.

State the type of sentence. Adieu, my dearest friend - may you be happy! - and then your Clarissa cannot be wholly miserable.

Answer»

State the type of sentence.

Adieu, my dearest friend - may you be happy! - and then your Clarissa cannot be wholly miserable.

Discussion

14.	The simple interest on a sum of money for 2 years at 4% per annum is Rs. 340. Find
Answer» The simple interest on a sum of money for 2 years at 4% per annum is Rs. 340. Find

Discussion

15.	how to find the values here : 7ab\c=cc
Answer» how to find the values here : 7ab\c=cc

Discussion

16.	0.0000851 =
Answer» $0.0000851$ =

Discussion

17.	A fort is provisioned for 42 days, after 10 days, a reinforcement of 200 men arrives and the food will now last only for 24 more days. How many men were there in the fort?
Answer» A fort is provisioned for 42 days, after 10 days, a reinforcement of 200 men arrives and the food will now last only for 24 more days. How many men were there in the fort?

Discussion

18.	The adjacent sides of a rectangle are x2−4xy+7y2 and x3−5xy2.Find its area.
Answer» The adjacent sides of a rectangle are $x^{2} - 4 x y + 7 y^{2} a n d x^{3} - 5 x y^{2}$ .Find its area.

Discussion

19.	Chandu purchased a watch at 20% discount on its marked price but sold it at the marked price. The gain % of Chandu on his transaction is:
Answer» Chandu purchased a watch at 20% discount on its marked price but sold it at the marked price. The gain % of Chandu on his transaction is:

Discussion

20.	Find the square root of the following:- i. √(1024) = ___ ii. √(2025) = ___
Answer» Find the square root of the following:- $i . \sqrt{(1024)}$ = ___ $i i . \sqrt{(2025)}$ = ___

20.

Find the square root of the following:- i. √(1024) = _ ii. √(2025) = _

Answer»

Find the square root of the following:-

$i . \sqrt{(1024)}$ = ___

$i i . \sqrt{(2025)}$ = ___

Discussion

21.	What is the measure of the largest angle of a triangle whose angles are in the ratio 4 : 5 : 9?
Answer» What is the measure of the largest angle of a triangle whose angles are in the ratio 4 : 5 : 9?

Discussion

22.	Arun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is Rs.1,600, find the marked price.
Answer» Arun bought a pair of skates at a sale where the discount given was $20 %$ . If the amount he pays is $R s . 1, 600$ , find the marked price.

Discussion

23.	If p (x) = x^2 - 4 x + 3 .then evaluate P(2) - P(1 )+ P(1/2)
Answer» If p (x) = x^2 - 4 x + 3 .then evaluate P(2) - P(1 )+ P(1/2)

Discussion

24.	Find the square of 48.
Answer» Find the square of 48.

Discussion

25.	What is the area covered by the black region if the radius of the larger circle is, R = 8 cm?
Answer» What is the area covered by the black region if the radius of the larger circle is, R = 8 cm?

Discussion

26.	The linear equation 2x+5 = __________ can represent the age of two siblings which differ by 5 years and their ages add up to give 25.
Answer» The linear equation 2x+5 = __________ can represent the age of two siblings which differ by 5 years and their ages add up to give 25.

Discussion

27.	Factorise: (2x−3)2−8x+12
Answer» Factorise: $(2 x - 3)^{2} - 8 x + 12$

Discussion

28.	Evaluate : 3√9261
Answer» Evaluate : $\sqrt[3]{9261}$

Discussion

29.	The measure of ∠B in the given triangle (in degrees) is ___.
Answer» The measure of $∠ B$ in the given triangle (in degrees) is ___.

Discussion

30.	If two numbers are in the ratio 3:5 and their difference is 48, then find the two numbers.
Answer» If two numbers are in the ratio 3:5 and their difference is 48, then find the two numbers.

Discussion

31.	Evaluate: (i) 88×92, (ii) 78×82.
Answer» Evaluate: (i) $88 \times 92$ , (ii) $78 \times 82$ .

Discussion

32.	Question 18 The area of a parallelogram is 60cm2 and one of its altitude is 5 cm. The length of its corresponding side is (a) 12 cm (b) 6 cm (c) 4 cm (d) 2 cm
Answer» Question 18 The area of a parallelogram is $60 c m^{2}$ and one of its altitude is 5 cm. The length of its corresponding side is (a) 12 cm (b) 6 cm (c) 4 cm (d) 2 cm

32.

Question 18 The area of a parallelogram is 60cm2 and one of its altitude is 5 cm. The length of its corresponding side is (a) 12 cm (b) 6 cm (c) 4 cm (d) 2 cm

Answer»

Question 18

The area of a parallelogram is $60 c m^{2}$ and one of its altitude is 5 cm. The length of its corresponding side is

(a) 12 cm
(b) 6 cm
(c) 4 cm
(d) 2 cm

Discussion

33.	Question 75 State whether the following statement is true or false: A number having 7 at its one's place will have 3 at the one's place of its cube.
Answer» Question 75 State whether the following statement is true or false: A number having 7 at its one's place will have 3 at the one's place of its cube.

33.

Question 75 State whether the following statement is true or false: A number having 7 at its one's place will have 3 at the one's place of its cube.

Answer»

Question 75

State whether the following statement is true or false:

A number having 7 at its one's place will have 3 at the one's place of its cube.

Discussion

34.	Factorise the following expression. 63p2q2r2s−9pq2r2s2+15p2qr2s2−60p2q2rs2
Answer» Factorise the following expression. $63 p^{2} q^{2} r^{2} s - 9 p q^{2} r^{2} s^{2} + 15 p^{2} q r^{2} s^{2} - 60 p^{2} q^{2} r s^{2}$

Discussion

35.	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

36.	Jaya has a certain number of word problems with her. She can solve some fixed number of problems every hour. After solving for 6 hours, she is left with 384 problems. If she solves for 12 hours, she will be left with 144 problems. Find the number of word problems Jaya is left with after 8 hours of solving.
Answer» Jaya has a certain number of word problems with her. She can solve some fixed number of problems every hour. After solving for 6 hours, she is left with 384 problems. If she solves for 12 hours, she will be left with 144 problems. Find the number of word problems Jaya is left with after 8 hours of solving.

Discussion

37.	The solution of xa + yb = 1 and the x~ axis is ?
Answer» The solution of $\frac{x}{a}$ + $\frac{y}{b}$ = 1 and the $x$ ~ axis is ?

Discussion

38.	Subtract the product of (x+y)(5x−y) from the product of (3x+y)(x+5y).
Answer» Subtract the product of $(x + y) (5 x - y)$ from the product of $(3 x + y) (x + 5 y)$ .

Discussion

39.	Question 25 An irreducible factor of 24x2y2 is (a) x2 (b) y2 (c) x (d) 24x
Answer» Question 25 An irreducible factor of $24 x^{2} y^{2}$ is (a) $x^{2}$ (b) $y^{2}$ (c) $x$ (d) $24 x$

Discussion

40.	Question 83 In the following question, state whether the given statements are true (T) or false (F). am=1a−m
Answer» Question 83 In the following question, state whether the given statements are true (T) or false (F). $a^{m} = \frac{1}{a^{- m}}$

40.

Question 83 In the following question, state whether the given statements are true (T) or false (F). am=1a−m

Answer»

Question 83

In the following question, state whether the given statements are true (T) or false (F).

$a^{m} = \frac{1}{a^{- m}}$

Discussion

41.	The diagonal of a quadrilateral shaped field is 25 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 12 m. Find the area of the field(in m2).
Answer» The diagonal of a quadrilateral shaped field is 25 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 12 m. Find the area of the field(in m²).

Discussion

42.	x is 5% of y,y is 24% of z. If z. If x =480, find the values of y and z.
Answer» x is 5% of y,y is 24% of z. If z. If x =480, find the values of y and z.

Discussion

43.	Find the surface area of a cube whose edge is (i) 1.2 m (ii) 27 cm (iii) 3 cm (iv) 6 m (v) 2.1 m
Answer» Find the surface area of a cube whose edge is (i) 1.2 m (ii) 27 cm (iii) 3 cm (iv) 6 m (v) 2.1 m

Discussion

44.	Solve: 1010 × 990 using standard identity.
Answer» Solve: 1010 $\times$ 990 using standard identity.

Discussion

45.	Question 71 In the following question, state whether the given statements are true (T) or false (F). (−5)−2×(−5)−3=(−5)−6
Answer» Question 71 In the following question, state whether the given statements are true (T) or false (F). $(- 5)^{- 2} \times (- 5)^{- 3} = (- 5)^{- 6}$

45.

Question 71 In the following question, state whether the given statements are true (T) or false (F). (−5)−2×(−5)−3=(−5)−6

Answer»

Question 71

In the following question, state whether the given statements are true (T) or false (F).

$(- 5)^{- 2} \times (- 5)^{- 3} = (- 5)^{- 6}$

Discussion

46.	In the figure given, D divides the side BC of △ABC in the ratio 3:5. What is the area of △ABD in terms of area of △ABC?
Answer» In the figure given, D divides the side BC of $△$ ABC in the ratio 3:5. What is the area of $△$ ABD in terms of area of $△$ ABC?

Discussion

47.	Making use of the cub e root table, find the cube root s of the (correct to three decimal places) 5112
Answer» Making use of the cub e root table, find the cube root s of the (correct to three decimal places) 5112

Discussion

48.	The factorisation of the a2b2+8ab−9 is equal to .
Answer» The factorisation of the $a^{2} b^{2} + 8 a b - 9$ is equal to .

Discussion

49.	In the figure, AB = AC and AP ⊥ BC. Then
Answer» In the figure, AB = AC and AP $⊥$ BC. Then

49.

In the figure, AB = AC and AP ⊥ BC. Then

Answer»

In the figure, AB = AC and AP $⊥$ BC. Then

Discussion

50.	A B× 6 B B B
Answer» $\begin{matrix} A B \times 6 B B B \end{matrix}$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If a number x is divided by 95, then remainder is 30. If the same no x is divided by 5, then what is the remainder.

Hi, I don't understand the identities. What are the various identities?

Question 3(ii) Find the: Probability of getting an ace from a well-shuffled deck of 52 playing cards.

Question 2(iii) Write the additive inverse of each of the following: −6−5

Express in standard form : 0.000000000567 Express in usual form : 4.5*10 raise to the power -6

To construct a square with diagonal AC =6.2 cm which of the following properties of a square do we use?

Find the height of the resultant figure if we fold the figure along the borders to form a closed figure.

If √10=3.162 then find the value of 1/√10.

The five sentences (labelled 1, 2, 3, 4, 5) given in this question, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a number. Decide on the proper order for the sentences and key in this sequence of five numbers as your answer.___

Leela sold her gold necklace at a profit of 7% if she had sold it for rupees 294 more, she would have got 10% profit find the cost price .

The measures of the angles of a quadrilateral taken in order are in the ratio 1:2:3:4. The quadrilateral is a___

State the type of sentence. Adieu, my dearest friend - may you be happy! - and then your Clarissa cannot be wholly miserable.

The simple interest on a sum of money for 2 years at 4% per annum is Rs. 340. Find

how to find the values here : 7ab\c=cc

0.0000851 =

A fort is provisioned for 42 days, after 10 days, a reinforcement of 200 men arrives and the food will now last only for 24 more days. How many men were there in the fort?

The adjacent sides of a rectangle are x2−4xy+7y2 and x3−5xy2.Find its area.

Chandu purchased a watch at 20% discount on its marked price but sold it at the marked price. The gain % of Chandu on his transaction is:

Find the square root of the following:- i. √(1024) = ___ ii. √(2025) = ___

What is the measure of the largest angle of a triangle whose angles are in the ratio 4 : 5 : 9?

Arun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is Rs.1,600, find the marked price.

If p (x) = x^2 - 4 x + 3 .then evaluate P(2) - P(1 )+ P(1/2)

Find the square of 48.

What is the area covered by the black region if the radius of the larger circle is, R = 8 cm?

The linear equation 2x+5 = __________ can represent the age of two siblings which differ by 5 years and their ages add up to give 25.

Factorise: (2x−3)2−8x+12

Evaluate : 3√9261

The measure of ∠B in the given triangle (in degrees) is ___.

If two numbers are in the ratio 3:5 and their difference is 48, then find the two numbers.

Evaluate: (i) 88×92, (ii) 78×82.

Question 18 The area of a parallelogram is 60cm2 and one of its altitude is 5 cm. The length of its corresponding side is (a) 12 cm (b) 6 cm (c) 4 cm (d) 2 cm

Question 75 State whether the following statement is true or false: A number having 7 at its one's place will have 3 at the one's place of its cube.

Factorise the following expression. 63p2q2r2s−9pq2r2s2+15p2qr2s2−60p2q2rs2

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

The solution of xa + yb = 1 and the x~ axis is ?

Subtract the product of (x+y)(5x−y) from the product of (3x+y)(x+5y).

Question 25 An irreducible factor of 24x2y2 is (a) x2 (b) y2 (c) x (d) 24x

Question 83 In the following question, state whether the given statements are true (T) or false (F). am=1a−m

The diagonal of a quadrilateral shaped field is 25 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 12 m. Find the area of the field(in m2).

x is 5% of y,y is 24% of z. If z. If x =480, find the values of y and z.

Find the surface area of a cube whose edge is (i) 1.2 m (ii) 27 cm (iii) 3 cm (iv) 6 m (v) 2.1 m

Solve: 1010 × 990 using standard identity.

Question 71 In the following question, state whether the given statements are true (T) or false (F). (−5)−2×(−5)−3=(−5)−6

In the figure given, D divides the side BC of △ABC in the ratio 3:5. What is the area of △ABD in terms of area of △ABC?

Making use of the cub e root table, find the cube root s of the (correct to three decimal places) 5112

The factorisation of the a2b2+8ab−9 is equal to .

In the figure, AB = AC and AP ⊥ BC. Then

A B× 6 B B B

Find the square root of the following:- i. √(1024) = _ ii. √(2025) = _