25365 + Interview Questions in Mathematics

1.	Find x fothefollowing equation {2+x}{7-x}{5-x}{4+x}=1
Answer» Find x fothefollowing equation {2+x}{7-x}{5-x}{4+x}=1

1.

Find x fothefollowing equation {2+x}{7-x}{5-x}{4+x}=1

Answer»

Find x fothefollowing equation

{2+x}{7-x}{5-x}{4+x}=1

2.	The length of a rectangle is 16 cm and its perimeter is equal to the perimeter of a square with side 12.5 cm. Find the area of the rectangle.
Answer» The length of a rectangle is 16 cm and its perimeter is equal to the perimeter of a square with side 12.5 cm. Find the area of the rectangle.

Discussion

3.	The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. Find the principal sum.
Answer» The difference between simple and compound interests compounded annually on a certain sum of money for $2$ years at $4 %$ per annum is $R e . 1.$ Find the principal sum.

Discussion

4.	In a convex hexagon, prove that the sum of all interior angle is equal to the sum of its exterior angles formed by producing the sides in the same order.
Answer» In a convex hexagon, prove that the sum of all interior angle is equal to the sum of its exterior angles formed by producing the sides in the same order.

Discussion

5.	Using identities. Evaluate 1.05X9.5
Answer» Using identities. Evaluate 1.05X9.5

5.

Using identities. Evaluate 1.05X9.5

Answer»

Using identities. Evaluate

1.05X9.5

Discussion

6.	Question 5(a) Add :p ( p - q ), q (q - r ) and r (r - p ).
Answer» Question 5(a) Add :p ( p - q ), q (q - r ) and r (r - p ).

Discussion

7.	Question 4 4z + 3 = 6 + 2z
Answer» Question 4 4z + 3 = 6 + 2z

Discussion

8.	Find the largest number of 2 digits which is a perfect square.
Answer» Find the largest number of 2 digits which is a perfect square.

Discussion

9.	One card is drawn at random from a well-shuffleed deck of 52 cards. Find the probability that the card drawn is (i) a 4 (ii) a queen (iii) a black card.
Answer» One card is drawn at random from a well-shuffleed deck of 52 cards. Find the probability that the card drawn is (i) a 4 (ii) a queen (iii) a black card.

Discussion

10.	Construct a parallelogram ABCD in which AB = 5.2 cm, BC = 4.7 cm and AC = 7.6 cm.
Answer» Construct a parallelogram ABCD in which AB = 5.2 cm, BC = 4.7 cm and AC = 7.6 cm.

Discussion

11.	From a tap of inner radius 0.75m, water flows at the rate of 7m per second. Find the volume in litres of water delivered by the pipe in one hour.
Answer» From a tap of inner radius $0.75 m$ , water flows at the rate of $7 m$ per second. Find the volume in litres of water delivered by the pipe in one hour.

Discussion

12.	A works twice as fast as B. If both of them can together finish a piece of work in 12 days, then B alone can do it in (a) 24 days (b) 27 days (c) 36 days (d) 48 days
Answer» A works twice as fast as B. If both of them can together finish a piece of work in 12 days, then B alone can do it in (a) 24 days (b) 27 days (c) 36 days (d) 48 days

12.

A works twice as fast as B. If both of them can together finish a piece of work in 12 days, then B alone can do it in (a) 24 days (b) 27 days (c) 36 days (d) 48 days

Answer»

A works twice as fast as B. If both of them can together finish a piece of work in 12 days, then B alone can do it in

(a) 24 days

(b) 27 days

(c) 36 days

(d) 48 days

Discussion

13.	Question 14 In the following question, out of the four options, only one is correct. Write the correct answer: If x be any non-zero integer, then x−1 is equal to: (a) x (b) 1x (c) -x (d) −1x
Answer» Question 14 In the following question, out of the four options, only one is correct. Write the correct answer: If x be any non-zero integer, then $x^{- 1}$ is equal to: (a) x (b) $\frac{1}{x}$ (c) -x (d) $\frac{- 1}{x}$

13.

Question 14 In the following question, out of the four options, only one is correct. Write the correct answer: If x be any non-zero integer, then x−1 is equal to: (a) x (b) 1x (c) -x (d) −1x

Answer»

Question 14

In the following question, out of the four options, only one is correct. Write the correct answer:

If x be any non-zero integer, then $x^{- 1}$ is equal to:
(a) x
(b) $\frac{1}{x}$
(c) -x
(d) $\frac{- 1}{x}$

Discussion

14.	Question 63(v) The table given below shows the temperatures recorded on a day at different times. Observe the graph and answer the following questions. During which hour was there a constant temperature?
Answer» Question 63(v) The table given below shows the temperatures recorded on a day at different times. Observe the graph and answer the following questions. During which hour was there a constant temperature?

Discussion

15.	Question 65 The negative of 1 is 1 itself.
Answer» Question 65 The negative of 1 is 1 itself.

Discussion

16.	Subtract 6x2y from 3yx2 .
Answer» Subtract $6 x^{2} y$ from $3 y x^{2}$ .

Discussion

17.	Factorise by taking out the common factors: 2x(a−b)+3y(5a−5b)+4z(2b−2a)
Answer» Factorise by taking out the common factors: $2 x (a - b) + 3 y (5 a - 5 b) + 4 z (2 b - 2 a)$

17.

Factorise by taking out the common factors: 2x(a−b)+3y(5a−5b)+4z(2b−2a)

Answer»

Factorise by taking out the common factors:

$2 x (a - b) + 3 y (5 a - 5 b) + 4 z (2 b - 2 a)$

Discussion

18.	Question 2(vi) Factorise the following expressions 5x2y−15xy2
Answer» Question 2(vi) Factorise the following expressions $5 x^{2} y - 15 x y^{2}$

Discussion

19.	4ab + 12abc can be factorised as _______________.
Answer» 4ab + 12abc can be factorised as _______________.

Discussion

20.	A sum of money was invested for 3 years, interest being compounded annually. If the rates for successive years were 10% 15% and 18% respectively. if the compound interest for the second year amounted to rupees 4950, find the sum invested.
Answer» A sum of money was invested for 3 years, interest being compounded annually. If the rates for successive years were 10% 15% and 18% respectively. if the compound interest for the second year amounted to rupees 4950, find the sum invested.

Discussion

21.	Sum of digit of a two digit number is 15. if the number formed by reversing the digits is less than the original number by 27, find the original number. check your solution.
Answer» Sum of digit of a two digit number is 15. if the number formed by reversing the digits is less than the original number by 27, find the original number. check your solution.

Discussion

22.	Question 2 Construct the rhombus whose diagonals are 5.2 cm and 6.4 cm.
Answer» Question 2 Construct the rhombus whose diagonals are 5.2 cm and 6.4 cm.

Discussion

23.	If in the following figure, AC = CD, AD = BD and ∠C=58∘, then the measure of angle CAB is
Answer» If in the following figure, AC = CD, AD = BD and $∠ C = 58^{\circ}$ , then the measure of angle CAB is

23.

If in the following figure, AC = CD, AD = BD and ∠C=58∘, then the measure of angle CAB is

Answer»

If in the following figure, AC = CD, AD = BD and $∠ C = 58^{\circ}$ , then the measure of angle CAB is

Discussion

24.	Question 3 Construct a rectangle with adjacent sides of length 5cm and 4cm.
Answer» Question 3 Construct a rectangle with adjacent sides of length 5cm and 4cm.

Discussion

25.	Question 1 (e) Given here are some figures: Classify each of them on the basis of the following. (e) Concave polygon
Answer» Question 1 (e) Given here are some figures: Classify each of them on the basis of the following. (e) Concave polygon

Discussion

26.	Points A(1,0), B(5,0), C(7,6) and D(3,6) are joined to form a quadrilateral ABCD. Point B(5,0) is joined with E(5,6) and A(1,0) is joined with F(1,6). Quadrilateral ABEF is now formed. What is the relation between the perimeter of the quadrilateral ABCD and quadrilateral ABEF?
Answer» Points A(1,0), B(5,0), C(7,6) and D(3,6) are joined to form a quadrilateral ABCD. Point B(5,0) is joined with E(5,6) and A(1,0) is joined with F(1,6). Quadrilateral ABEF is now formed. What is the relation between the perimeter of the quadrilateral ABCD and quadrilateral ABEF?

Discussion

27.	The perimeter of a rectangle is 28 cm and its breadth is 6 cm. The length of a rectangle will be:
Answer» The perimeter of a rectangle is 28 cm and its breadth is 6 cm. The length of a rectangle will be:

Discussion

28.	If final marks obtained in mathematics for 6 students are 48, 39, 12, 9, 27, 56, then what is the range of data?
Answer» If final marks obtained in mathematics for 6 students are 48, 39, 12, 9, 27, 56, then what is the range of data?

Discussion

29.	If the solution of the equations 6x + 6 = 0 is -1, then the value of expression 6x + 6 is ______.
Answer» If the solution of the equations 6x + 6 = 0 is -1, then the value of expression 6x + 6 is ______.

Discussion

30.	718531 is divisible by:
Answer» 718531 is divisible by:

Discussion

31.	On a particular day, 200 US dollars are worth Rs 9666. On that day, how many dollars could be bought for Rs. 5074. 65?
Answer» On a particular day, 200 US dollars are worth Rs 9666. On that day, how many dollars could be bought for Rs. 5074. 65?

Discussion

32.	12 can be expressed as:
Answer» 12 can be expressed as:

Discussion

33.	An algebraic expression cannot consist of
Answer» An algebraic expression cannot consist of

Discussion

34.	A circle passes through the point (3,√72) and touches the line pair x2−y2−2x+1=0. The coordinates of the centre of the circle are
Answer» A circle passes through the point $(3, \sqrt{\frac{7}{2}})$ and touches the line pair $x^{2} - y^{2} - 2 x + 1 = 0$ . The coordinates of the centre of the circle are

Discussion

35.	The bar graph below gives the calories consumed by three guys A, B and C after eating chocolate. What is the number of calories consumed by C if his share of chocolate is equal to (38)th of what A has eaten?
Answer» The bar graph below gives the calories consumed by three guys A, B and C after eating chocolate. What is the number of calories consumed by C if his share of chocolate is equal to $(\frac{3}{8})^{th}$ of what A has eaten?

35.

The bar graph below gives the calories consumed by three guys A, B and C after eating chocolate. What is the number of calories consumed by C if his share of chocolate is equal to (38)th of what A has eaten?

Answer»

The bar graph below gives the calories consumed by three guys A, B and C after eating chocolate. What is the number of calories consumed by C if his share of chocolate is equal to $(\frac{3}{8})^{th}$ of what A has eaten?

Discussion

36.	The quotient obtained when pq2+5pq+6p is divided by pq+2p is _______.
Answer» The quotient obtained when $p q^{2} + 5 p q + 6 p$ is divided by $p q + 2 p$ is _______.

Discussion

37.	Question 113 (iv) Study the layout given in the figure and answer the questions. If the cost of tiling is Rs 30 per m2, write an expression for calculating the total cost of floor tiles used for the bathroom and kitchen floors.
Answer» Question 113 (iv) Study the layout given in the figure and answer the questions. If the cost of tiling is Rs 30 per $m^{2}$ , write an expression for calculating the total cost of floor tiles used for the bathroom and kitchen floors.

37.

Question 113 (iv) Study the layout given in the figure and answer the questions. If the cost of tiling is Rs 30 per m2, write an expression for calculating the total cost of floor tiles used for the bathroom and kitchen floors.

Answer»

Question 113 (iv)

Study the layout given in the figure and answer the questions.

If the cost of tiling is Rs 30 per $m^{2}$ , write an expression for calculating the total cost of floor tiles used for the bathroom and kitchen floors.

Discussion

38.	V = 8 -9t if t<1 V = 8 - 2t if t > 2 Find the value of V (m/s) when t = 3.
Answer» V = 8 -9t if t<1 V = 8 - 2t if t > 2 Find the value of V (m/s) when t = 3.

38.

V = 8 -9t if t<1 V = 8 - 2t if t > 2 Find the value of V (m/s) when t = 3.

Answer»

V = 8 -9t if t<1

V = 8 - 2t if t > 2

Find the value of V (m/s) when t = 3.

Discussion

39.	The number 9345 is represented in the expanded form as:
Answer» The number 9345 is represented in the expanded form as:

Discussion

40.	The length of a rope is 2 m and its diameter is 1 cm. The ratio of the length of the rope to its diameter is _____.
Answer» The length of a rope is 2 m and its diameter is 1 cm. The ratio of the length of the rope to its diameter is _____.

Discussion

41.	Ranjan got 45% marks in the first paper and 70% in the second paper .How much percent should he get in the third paper so as to get 60 % as overall shore?
Answer» Ranjan got 45% marks in the first paper and 70% in the second paper .How much percent should he get in the third paper so as to get 60 % as overall shore?

Discussion

42.	If a pair of opposite sides of a quadrilateral are equal and parallel, it is a
Answer» If a pair of opposite sides of a quadrilateral are equal and parallel, it is a

42.

If a pair of opposite sides of a quadrilateral are equal and parallel, it is a

Answer»

If a pair of opposite sides of a quadrilateral are equal and parallel, it is a

Discussion

43.	The cube root of 2744 is
Answer» The cube root of $2744$ is

Discussion

44.	Using Euler's formula complete the following table. [4 MARKS] FacesVerticesEdges1010?8?1868??5812?19
Answer» Using Euler's formula complete the following table. [4 MARKS] $\begin{matrix} F a c e s & V e r t i c e s & E d g e s 10 & 10 & ? 8 & ? & 18 6 & 8 & ? ? & 5 & 8 12 & ? & 19 \end{matrix}$

Discussion

45.	By selling a table-fan for ₹891 , a man suffers a 10% Loss. At what price should he sell it in order to make a profit of 20%?
Answer» By selling a table-fan for ₹891 , a man suffers a 10% Loss. At what price should he sell it in order to make a profit of 20%?

45.

By selling a table-fan for ₹891 , a man suffers a 10% Loss. At what price should he sell it in order to make a profit of 20%?

Answer»

By selling a table-fan for ₹891 , a man suffers a 10% Loss. At what price should he sell it in order to make a profit of 20%?

Discussion

46.	The question in which I am facing problem is : Three prizes are to be distributed in a quiz contest. The value of second prize is 5/6 of the value of first prize and the value of third prize is 4/5 of second prize. If the total value of three prizes is Rs.1500. Find the value of each prize. (in order of 1st, 2nd & 3rd The solution which was given to me was: Let the value of first prize = x Value of second prize = 56x Value of third prize = 45 (Value of the second prize) = 45 (56x) = 23x Total value of three prizes = Rs.1500 ⇒x+56x+23x=1500 ⇒ 6x+5x+4x6=1500 ⇒ 15x6=1500 ⇒x=600 Value of first prize = Rs. 600 Value of second prize = 56 × Rs. 600 = Rs. 500 Value of third prize = 23 × Rs. 600 = Rs. 400 Now, my doubt is that why was 2/3x taken in the equation ? It was not mentioned in the question
Answer» The question in which I am facing problem is : Three prizes are to be distributed in a quiz contest. The value of second prize is 5/6 of the value of first prize and the value of third prize is 4/5 of second prize. If the total value of three prizes is Rs.1500. Find the value of each prize. (in order of 1st, 2nd & 3rd The solution which was given to me was: Let the value of first prize = x Value of second prize = 56x Value of third prize = 45 (Value of the second prize) = 45 (56x) = 23x Total value of three prizes = Rs.1500 ⇒x+56x+23x=1500 ⇒ 6x+5x+4x6=1500 ⇒ 15x6=1500 ⇒x=600 Value of first prize = Rs. 600 Value of second prize = 56 × Rs. 600 = Rs. 500 Value of third prize = 23 × Rs. 600 = Rs. 400 Now, my doubt is that why was 2/3x taken in the equation ? It was not mentioned in the question

46.

The question in which I am facing problem is : Three prizes are to be distributed in a quiz contest. The value of second prize is 5/6 of the value of first prize and the value of third prize is 4/5 of second prize. If the total value of three prizes is Rs.1500. Find the value of each prize. (in order of 1st, 2nd & 3rd The solution which was given to me was: Let the value of first prize = x Value of second prize = 56x Value of third prize = 45 (Value of the second prize) = 45 (56x) = 23x Total value of three prizes = Rs.1500 ⇒x+56x+23x=1500 ⇒ 6x+5x+4x6=1500 ⇒ 15x6=1500 ⇒x=600 Value of first prize = Rs. 600 Value of second prize = 56 × Rs. 600 = Rs. 500 Value of third prize = 23 × Rs. 600 = Rs. 400 Now, my doubt is that why was 2/3x taken in the equation ? It was not mentioned in the question

Answer»

The question in which I am facing problem is :

Three prizes are to be distributed in a quiz contest. The value of second prize is 5/6 of the value of first prize and the value of third prize is 4/5 of second prize. If the total value of three prizes is Rs.1500. Find the value of each prize. (in order of 1st, 2nd & 3rd

The solution which was given to me was:

Let the value of first prize = x

Value of second prize = 56x

Value of third prize = 45 (Value of the second prize)

= 45 (56x) = 23x

Total value of three prizes = Rs.1500

⇒x+56x+23x=1500
⇒ 6x+5x+4x6=1500
⇒ 15x6=1500
⇒x=600
Value of first prize = Rs. 600
Value of second prize = 56 × Rs. 600 = Rs. 500
Value of third prize = 23 × Rs. 600 = Rs. 400

Now, my doubt is that why was 2/3x taken in the equation ? It was not mentioned in the question

Discussion

47.	What is the significance of closure property
Answer» What is the significance of closure property

Discussion

48.	A piggy bank has only rupees 1 and 50 Paise coins. If there are 3 times as many 50 Paise coins as rupees 1 and the total amount is rupees 35. How many coins of each kind are there
Answer» A piggy bank has only rupees 1 and 50 Paise coins. If there are 3 times as many 50 Paise coins as rupees 1 and the total amount is rupees 35. How many coins of each kind are there

Discussion

49.	41 2/9 square root of three decimal places
Answer» 41 2/9 square root of three decimal places

Discussion

50.	In a grass field, a bull is tied to a pole with a rope of length 7 meters. How much area of field is it allowed to graze? ( Take π=227)
Answer» In a grass field, a bull is tied to a pole with a rope of length 7 meters. How much area of field is it allowed to graze? ( Take $π = \frac{22}{7}$ )

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Find x fothefollowing equation {2+x}{7-x}{5-x}{4+x}=1

The length of a rectangle is 16 cm and its perimeter is equal to the perimeter of a square with side 12.5 cm. Find the area of the rectangle. ​​​​​​

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. Find the principal sum.

In a convex hexagon, prove that the sum of all interior angle is equal to the sum of its exterior angles formed by producing the sides in the same order.

Using identities. Evaluate 1.05X9.5

Question 5(a) Add :p ( p - q ), q (q - r ) and r (r - p ).

Question 4 4z + 3 = 6 + 2z

Find the largest number of 2 digits which is a perfect square.

One card is drawn at random from a well-shuffleed deck of 52 cards. Find the probability that the card drawn is (i) a 4 (ii) a queen (iii) a black card.

Construct a parallelogram ABCD in which AB = 5.2 cm, BC = 4.7 cm and AC = 7.6 cm.

From a tap of inner radius 0.75m, water flows at the rate of 7m per second. Find the volume in litres of water delivered by the pipe in one hour.

A works twice as fast as B. If both of them can together finish a piece of work in 12 days, then B alone can do it in (a) 24 days (b) 27 days (c) 36 days (d) 48 days

Question 14 In the following question, out of the four options, only one is correct. Write the correct answer: If x be any non-zero integer, then x−1 is equal to: (a) x (b) 1x (c) -x (d) −1x

Question 63(v) The table given below shows the temperatures recorded on a day at different times. Observe the graph and answer the following questions. During which hour was there a constant temperature?

Question 65 The negative of 1 is 1 itself.

Subtract 6x2y from 3yx2 .

Factorise by taking out the common factors: 2x(a−b)+3y(5a−5b)+4z(2b−2a)

Question 2(vi) Factorise the following expressions 5x2y−15xy2

4ab + 12abc can be factorised as _______________.

A sum of money was invested for 3 years, interest being compounded annually. If the rates for successive years were 10% 15% and 18% respectively. if the compound interest for the second year amounted to rupees 4950, find the sum invested.

Sum of digit of a two digit number is 15. if the number formed by reversing the digits is less than the original number by 27, find the original number. check your solution.

Question 2 Construct the rhombus whose diagonals are 5.2 cm and 6.4 cm.

If in the following figure, AC = CD, AD = BD and ∠C=58∘, then the measure of angle CAB is

Question 3 Construct a rectangle with adjacent sides of length 5cm and 4cm.

Question 1 (e) Given here are some figures: Classify each of them on the basis of the following. (e) Concave polygon

Points A(1,0), B(5,0), C(7,6) and D(3,6) are joined to form a quadrilateral ABCD. Point B(5,0) is joined with E(5,6) and A(1,0) is joined with F(1,6). Quadrilateral ABEF is now formed. What is the relation between the perimeter of the quadrilateral ABCD and quadrilateral ABEF?

The perimeter of a rectangle is 28 cm and its breadth is 6 cm. The length of a rectangle will be:

If final marks obtained in mathematics for 6 students are 48, 39, 12, 9, 27, 56, then what is the range of data?

If the solution of the equations 6x + 6 = 0 is -1, then the value of expression 6x + 6 is ______.

718531 is divisible by:

On a particular day, 200 US dollars are worth Rs 9666. On that day, how many dollars could be bought for Rs. 5074. 65?

12 can be expressed as:

An algebraic expression cannot consist of

A circle passes through the point (3,√72) and touches the line pair x2−y2−2x+1=0. The coordinates of the centre of the circle are

The bar graph below gives the calories consumed by three guys A, B and C after eating chocolate. What is the number of calories consumed by C if his share of chocolate is equal to (38)th​​ of what A has eaten?

The quotient obtained when pq2+5pq+6p is divided by pq+2p is _______.

Question 113 (iv) Study the layout given in the figure and answer the questions. If the cost of tiling is Rs 30 per m2, write an expression for calculating the total cost of floor tiles used for the bathroom and kitchen floors.

V = 8 -9t if t&lt;1 V = 8 - 2t if t &gt; 2 Find the value of V (m/s) when t = 3.

The number 9345 is represented in the expanded form as:

The length of a rope is 2 m and its diameter is 1 cm. The ratio of the length of the rope to its diameter is _____.

Ranjan got 45% marks in the first paper and 70% in the second paper .How much percent should he get in the third paper so as to get 60 % as overall shore?

If a pair of opposite sides of a quadrilateral are equal and parallel, it is a

The cube root of 2744 is

Using Euler's formula complete the following table. [4 MARKS] FacesVerticesEdges1010?8?1868??5812?19

By selling a table-fan for ₹891 , a man suffers a 10% Loss. At what price should he sell it in order to make a profit of 20%?

What is the significance of closure property

A piggy bank has only rupees 1 and 50 Paise coins. If there are 3 times as many 50 Paise coins as rupees 1 and the total amount is rupees 35. How many coins of each kind are there

41 2/9 square root of three decimal places

In a grass field, a bull is tied to a pole with a rope of length 7 meters. How much area of field is it allowed to graze? ( Take π=227)

The length of a rectangle is 16 cm and its perimeter is equal to the perimeter of a square with side 12.5 cm. Find the area of the rectangle.

The bar graph below gives the calories consumed by three guys A, B and C after eating chocolate. What is the number of calories consumed by C if his share of chocolate is equal to (38)th of what A has eaten?

V = 8 -9t if t<1 V = 8 - 2t if t > 2 Find the value of V (m/s) when t = 3.