25365 + Interview Questions in Mathematics

1.	Present ages of Vatsala and Sara are 14 years and 10 years respectively. After how many years the ratio of their ages will become 5 : 4?
Answer» Present ages of Vatsala and Sara are 14 years and 10 years respectively. After how many years the ratio of their ages will become 5 : 4?

Discussion

2.	If arcs AXB and CYD of a circle are congruent, find the ratio of AB and CD.
Answer» If arcs AXB and CYD of a circle are congruent, find the ratio of AB and CD.

Discussion

3.	The solution of the pair of linear equations 2y+7x=−5 and 5y−7x=12 is
Answer» The solution of the pair of linear equations $2 y + 7 x = - 5$ and $5 y - 7 x = 12$ is

Discussion

4.	Given below are the steps of construction of a quadrilateral ABCD, where AB = 3.5 cm, BC = 6.5 cm, ∠A=75∘,∠B=105∘ and ∠C=120∘. Which of the following options is the wrong step? 1:- Draw AB = 3.5 cm. 2:- Draw ∠DAB=75∘,∠ABC=105∘ at B. 3:- Draw BC = 6.5 cm. 4:- At D draw ∠ADC=120∘.
Answer» Given below are the steps of construction of a quadrilateral ABCD, where AB = 3.5 cm, BC = 6.5 cm, $∠ A = 75^{\circ}, ∠ B = 105^{\circ}$ and $∠ C = 120^{\circ}$ . Which of the following options is the wrong step? 1:- Draw AB = 3.5 cm. 2:- Draw $∠ D A B = 75^{\circ}, ∠ A B C = 105^{\circ}$ at B. 3:- Draw BC = 6.5 cm. 4:- At D draw $∠ A D C = 120^{\circ}$ .

Discussion

5.	How many parts does the shaded portion represent.
Answer» How many parts does the shaded portion represent.

Discussion

6.	A service centre received the following number of calls per day over a period of 30 days. 6 5 6 9 7 4 2 4 7 8 3 4 9 8 2 3 5 9 7 8 9 7 5 6 7 7 4 6 2 4Using a frequency table, find the average number of calls per day. Round your answer to 1 decimal place.
Answer» A service centre received the following number of calls per day over a period of 30 days. 6 5 6 9 7 4 2 4 7 8 3 4 9 8 2 3 5 9 7 8 9 7 5 6 7 7 4 6 2 4 Using a frequency table, find the average number of calls per day. Round your answer to 1 decimal place.

6.

A service centre received the following number of calls per day over a period of 30 days. 6 5 6 9 7 4 2 4 7 8 3 4 9 8 2 3 5 9 7 8 9 7 5 6 7 7 4 6 2 4Using a frequency table, find the average number of calls per day. Round your answer to 1 decimal place.

Answer»

A service centre received the following number of calls per day over a period of 30 days.

6 5 6 9 7 4 2 4 7 8

3 4 9 8 2 3 5 9 7 8

9 7 5 6 7 7 4 6 2 4

Using a frequency table, find the average number of calls per day. Round your answer to 1 decimal place.

Discussion

7.	Find the number of students whose height is greater than or equal to 135 cm but less than 150 cm.
Answer» Find the number of students whose height is greater than or equal to 135 cm but less than 150 cm.

Discussion

8.	Find the measure of interior angle of a regular hexadecagon. degrees
Answer» Find the measure of interior angle of a regular hexadecagon. degrees

Discussion

9.	Find the product of 11xy2 and−8xy3.
Answer» Find the product of $11 x y^{2} a n d - 8 x y^{3}$ .

Discussion

10.	Question 11. A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?
Answer» Question 11. A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?

Discussion

11.	A gardener uses pipes to water his garden from the tank. For his entire garden he uses 6 pipes to water and it takes him 1 hour 20 minutes to completely empty the tank. Now if he uses only 5 pipes to water his garden, how long it will take him to empty the tank?
Answer» A gardener uses pipes to water his garden from the tank. For his entire garden he uses 6 pipes to water and it takes him 1 hour 20 minutes to completely empty the tank. Now if he uses only 5 pipes to water his garden, how long it will take him to empty the tank?

Discussion

12.	The height of a cylinder is 14 cm and its diameter is 10 cm.The volume of the cylinder is (a) 1100 cm3 (b) 3300 cm3 (c) 3500 cm3 (d) 7700 cm3
Answer» The height of a cylinder is 14 cm and its diameter is 10 cm.The volume of the cylinder is (a) $1100 c m^{3}$ (b) $3300 c m^{3}$ (c) $3500 c m^{3}$ (d) $7700 c m^{3}$

12.

The height of a cylinder is 14 cm and its diameter is 10 cm.The volume of the cylinder is (a) 1100 cm3 (b) 3300 cm3 (c) 3500 cm3 (d) 7700 cm3

Answer»

The height of a cylinder is 14 cm and its diameter is 10 cm.The volume of the cylinder is

(a) $1100 c m^{3}$

(b) $3300 c m^{3}$

(c) $3500 c m^{3}$

(d) $7700 c m^{3}$

Discussion

13.	An autorickshaw charges ₹ 10 for the first kilometre, then ₹ 8 for each such subsequent kilometre. The total charge (in ₹) for d kilometres is ___ .
Answer» An autorickshaw charges ₹ 10 for the first kilometre, then ₹ 8 for each such subsequent kilometre. The total charge (in ₹) for $d$ kilometres is ___ .

Discussion

14.	How many rectangles does a 3×3 square has?
Answer» How many rectangles does a $3 \times 3$ square has?

Discussion

15.	p rase to power4 -256.. factorise
Answer» p rase to power4 -256.. factorise

Discussion

16.	Question 104Rahim borrowed ₹1024000 from a bank for one year. If the bank charges interest of 5% per annum, compounded half-yearly, what amount will he have to pay after the given time period. Also, find the interest paid by him.
Answer» Question 104 Rahim borrowed ₹1024000 from a bank for one year. If the bank charges interest of 5% per annum, compounded half-yearly, what amount will he have to pay after the given time period. Also, find the interest paid by him.

16.

Question 104Rahim borrowed ₹1024000 from a bank for one year. If the bank charges interest of 5% per annum, compounded half-yearly, what amount will he have to pay after the given time period. Also, find the interest paid by him.

Answer»

Question 104

Rahim borrowed ₹1024000 from a bank for one year. If the bank charges interest of 5% per annum, compounded half-yearly, what amount will he have to pay after the given time period. Also, find the interest paid by him.

Discussion

17.	Find the rate of discount being given on a shirt whose selling price is ₹ 1092 after deducting a discount of ₹ 208 on its marked price.
Answer» Find the rate of discount being given on a shirt whose selling price is ₹ 1092 after deducting a discount of ₹ 208 on its marked price.

Discussion

18.	A recipe for French toast calls for 3/4 litres of milk.If you want to make only 2/3of the recipe,how much milkshould you use? (Why are we multiplying).
Answer» A recipe for French toast calls for 3/4 litres of milk.If you want to make only 2/3of the recipe,how much milkshould you use? (Why are we multiplying).

Discussion

19.	Using identities ,evaluate 71 square
Answer» Using identities ,evaluate 71 square

Discussion

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

Discussion

21.	15. A piece of equipment cost a certain factory Rs 600,000. If it depreciates in value, 15% the first, 13.5% the next year, 12% the third year, and so on. What will be its value at the end of 10 years, all percentages applying to the original cost ?
Answer» 15. A piece of equipment cost a certain factory Rs 600,000. If it depreciates in value, 15% the first, 13.5% the next year, 12% the third year, and so on. What will be its value at the end of 10 years, all percentages applying to the original cost ?

Discussion

22.	x3y2−zx2y+x4y3= _______×(xy−z+x2y2)
Answer» $x^{3} y^{2} - z x^{2} y + x^{4} y^{3} =$ _______ $\times (x y - z + x^{2} y^{2})$

Discussion

23.	The value of m which satisfies (2)m+1×25=4−2 is: ___
Answer» The value of $m$ which satisfies $(2)^{m + 1} \times 2^{5} = 4^{- 2}$ is: ___

Discussion

24.	Question 5(ii)Factorise the expressions and divide them as directed(m2−14m−32)÷(m+2)
Answer» Question 5(ii) Factorise the expressions and divide them as directed $(m^{2} - 14 m - 32) \div (m + 2)$

Discussion

25.	33 is ______ number.
Answer» 33 is ______ number.

Discussion

26.	Factorise (a^3-b^3+1+3ab)
Answer» Factorise (a^3-b^3+1+3ab)

Discussion

27.	a) What is the class size of the given grouped frequency distribution? b) Which class has the highest frequency? c) If Sachin scores 20 then in which interval will he be placed in? d) What is the upper-class limit of the class interval 10-20? [4 MARKS] RunsCricketers0−101010−20320−301430−402540−5011
Answer» a) What is the class size of the given grouped frequency distribution? b) Which class has the highest frequency? c) If Sachin scores 20 then in which interval will he be placed in? d) What is the upper-class limit of the class interval 10-20? [4 MARKS] $\begin{matrix} Runs & Cricketers 0 - 10 & 10 10 - 20 & 3 20 - 30 & 14 30 - 40 & 25 40 - 50 & 11 \end{matrix}$

Discussion

28.	Question 52(ii) The graph given below gives the actual and expected sales of cars of the company for 6 months. Study the graph and answer the questions that follow. For which month(s) was (were) the difference in actual and expected sales the maximum?
Answer» Question 52(ii) The graph given below gives the actual and expected sales of cars of the company for 6 months. Study the graph and answer the questions that follow. For which month(s) was (were) the difference in actual and expected sales the maximum?

Discussion

29.	The value of 4^6 ÷ 4^4 is
Answer» The value of 4^6 ÷ 4^4 is

Discussion

30.	In the given figure, ABCD is a parallelogram. E is a point on DC. If AE bisects ∠A and BE bisects ∠B, then which of the following statements is correct?
Answer» In the given figure, ABCD is a parallelogram. E is a point on DC. If AE bisects $∠$ A and BE bisects $∠$ B, then which of the following statements is correct?

30.

In the given figure, ABCD is a parallelogram. E is a point on DC. If AE bisects ∠A and BE bisects ∠B, then which of the following statements is correct?

Answer»

In the given figure, ABCD is a parallelogram. E is a point on DC. If AE bisects $∠$ A and BE bisects $∠$ B, then which of the following statements is correct?

Discussion

31.	Locate 52 on number line.
Answer» Locate 52 on number line.

Discussion

32.	The volumes of two cylinders are a : b and their heights are c :d. Find the ratio of their diameters.
Answer» The volumes of two cylinders are a : b and their heights are c :d. Find the ratio of their diameters.

Discussion

33.	A rectangular yard contains two flower beds in the shape of congruent isosceles right triangle. The remaining portion is a yard of trapezoidal shape (see fig). Whose parallel sides have lengths 15 m and 25 m. What fraction of the yard is occupied by the flower bed?
Answer» A rectangular yard contains two flower beds in the shape of congruent isosceles right triangle. The remaining portion is a yard of trapezoidal shape (see fig). Whose parallel sides have lengths 15 m and 25 m. What fraction of the yard is occupied by the flower bed?

33.

A rectangular yard contains two flower beds in the shape of congruent isosceles right triangle. The remaining portion is a yard of trapezoidal shape (see fig). Whose parallel sides have lengths 15 m and 25 m. What fraction of the yard is occupied by the flower bed?

Answer»

A rectangular yard contains two flower beds in the shape of congruent isosceles right triangle. The remaining portion is a yard of trapezoidal shape (see fig). Whose parallel sides have lengths 15 m and 25 m. What fraction of the yard is occupied by the flower bed?

Discussion

34.	When price of a commodity falls from Rs. 12 per unit to Rs. 9 per unit, the producer supplies 75 per cent less output. Calculate price elasticity of supply.
Answer» When price of a commodity falls from Rs. 12 per unit to Rs. 9 per unit, the producer supplies 75 per cent less output. Calculate price elasticity of supply.

Discussion

35.	“I have 52 stamps in my collection”, Ruby said. Making some mental calculations, Razia said, ”I need 15 more to catch up with you”. How many stamps does Razia have?
Answer» “I have 52 stamps in my collection”, Ruby said. Making some mental calculations, Razia said, ”I need 15 more to catch up with you”. How many stamps does Razia have?

35.

“I have 52 stamps in my collection”, Ruby said. Making some mental calculations, Razia said, ”I need 15 more to catch up with you”. How many stamps does Razia have?

Answer»

“I have 52 stamps in my collection”, Ruby said. Making some mental calculations, Razia said, ”I need 15 more to catch up with you”. How many stamps does Razia have?

Discussion

36.	43. X=at^2 y=2at then dy÷ dx=?
Answer» 43. X=at^2 y=2at then dy÷ dx=?

Discussion

37.	Find the solution for the following pair of equations3x−8y=4x=2y
Answer» Find the solution for the following pair of equations $3 x - 8 y = 4$ $x = 2 y$

Discussion

38.	Express 49 as a sum of seven odd numbers.
Answer» Express $49$ as a sum of seven odd numbers.

Discussion

39.	Find square root of 32.49 ?
Answer» Find square root of 32.49 ?

Discussion

40.	A river 2 m deep and 45 m wide is flowing at the rate of 3 km/h. Find the quantity of water that runs into the sea per minute.
Answer» A river 2 m deep and 45 m wide is flowing at the rate of 3 km/h. Find the quantity of water that runs into the sea per minute.

Discussion

41.	ABCD is the parallelogram. P, Q, R and S are the mid points of sides AB, BC, CD and AD. If ∠A=70o. Find the acute angle of intersection of diagonal of parallelogram PQRS.
Answer» $A B C D$ is the parallelogram. $P$ , $Q$ , $R$ and $S$ are the mid points of sides $A B$ , $B C$ , $C D$ and $A D$ . If $∠ A = 70^{o}$ . Find the acute angle of intersection of diagonal of parallelogram $P Q R S$ .

Discussion

42.	The scores of a batsman in the last 10 innings were 10, 0, 25, 9, 24, 81, 28, 2, 1, and 59. What is the probability that he will score more than 30 runs in his next innings (in decimal)? __
Answer» The scores of a batsman in the last 10 innings were 10, 0, 25, 9, 24, 81, 28, 2, 1, and 59. What is the probability that he will score more than 30 runs in his next innings (in decimal)? __

42.

The scores of a batsman in the last 10 innings were 10, 0, 25, 9, 24, 81, 28, 2, 1, and 59. What is the probability that he will score more than 30 runs in his next innings (in decimal)? __

Answer»

The scores of a batsman in the last 10 innings were 10, 0, 25, 9, 24, 81, 28, 2, 1, and 59. What is the probability that he will score more than 30 runs in his next innings (in decimal)?

__

Discussion

43.	A, B, C, D, E, F
Answer» A, B, C, D, E, F

Discussion

44.	When pressure increases, _____
Answer» When pressure increases, _____

Discussion

45.	(x2−4y2)÷(x+2y)=?
Answer» $(x^{2} - 4 y^{2}) \div (x + 2 y) = ?$

Discussion

46.	20 Find the sum of all natural number lying between 100 and 1000 which are multi ple of 5
Answer» 20 Find the sum of all natural number lying between 100 and 1000 which are multi ple of 5

Discussion

47.	A coin is tossed then a dice is thrown. Let A be the event ''head turns up on the coin and odd number turns up on the dice'' and B be the event ''tail turns up on the coin and an even number turns up on the dice''. Then A∩B′ is(where H represents head and T represents tail)
Answer» A coin is tossed then a dice is thrown. Let $A$ be the event ''head turns up on the coin and odd number turns up on the dice'' and $B$ be the event ''tail turns up on the coin and an even number turns up on the dice''. Then $A \cap B^{'}$ is (where $H$ represents head and $T$ represents tail)

Discussion

48.	If south east becomes north,north east becomes west and so on. What will West?
Answer» If south east becomes north,north east becomes west and so on. What will West?

Discussion

49.	Both Arjun and Rahul went for jogging the next day and stopped at a place where kids were playing on a slide as shown below: Two slides which are directed in the two opposite directions are combined with the vertical stairs in the midway between the two sliders. The lengths of both the slides are same. Two kids Mia and Anu reached down after sliding. How much distance Mia has to walk from A to reach Anu who is at B, if AC=5 m and width of the stairs =1 m?
Answer» Both Arjun and Rahul went for jogging the next day and stopped at a place where kids were playing on a slide as shown below: Two slides which are directed in the two opposite directions are combined with the vertical stairs in the midway between the two sliders. The lengths of both the slides are same. Two kids Mia and Anu reached down after sliding. How much distance Mia has to walk from $A$ to reach Anu who is at $B,$ if $A C = 5 m$ and width of the stairs $= 1 m ?$

49.

Both Arjun and Rahul went for jogging the next day and stopped at a place where kids were playing on a slide as shown below: Two slides which are directed in the two opposite directions are combined with the vertical stairs in the midway between the two sliders. The lengths of both the slides are same. Two kids Mia and Anu reached down after sliding. How much distance Mia has to walk from A to reach Anu who is at B, if AC=5 m and width of the stairs =1 m?

Answer»

Both Arjun and Rahul went for jogging the next day and stopped at a place where kids were playing on a slide as shown below:

Two slides which are directed in the two opposite directions are combined with the vertical stairs in the midway between the two sliders. The lengths of both the slides are same.

Two kids Mia and Anu reached down after sliding. How much distance Mia has to walk from $A$ to reach Anu who is at $B,$ if $A C = 5 m$ and width of the stairs $= 1 m ?$

Discussion

50.	Construct a triangle PQR in which PQ = 5.4 cm, QR = 5.5 cm and ∠PQR = 55°.
Answer» Construct a triangle PQR in which PQ = 5.4 cm, QR = 5.5 cm and ∠PQR = 55°.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Present ages of Vatsala and Sara are 14 years and 10 years respectively. After how many years the ratio of their ages will become 5 : 4?

If arcs AXB and CYD of a circle are congruent, find the ratio of AB and CD.

The solution of the pair of linear equations 2y+7x=−5 and 5y−7x=12 is

How many parts does the shaded portion represent.

A service centre received the following number of calls per day over a period of 30 days. 6 5 6 9 7 4 2 4 7 8 3 4 9 8 2 3 5 9 7 8 9 7 5 6 7 7 4 6 2 4Using a frequency table, find the average number of calls per day. Round your answer to 1 decimal place.

Find the number of students whose height is greater than or equal to 135 cm but less than 150 cm.

Find the measure of interior angle of a regular hexadecagon. degrees

Find the product of 11xy2 and−8xy3.

Question 11. A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?

A gardener uses pipes to water his garden from the tank. For his entire garden he uses 6 pipes to water and it takes him 1 hour 20 minutes to completely empty the tank. Now if he uses only 5 pipes to water his garden, how long it will take him to empty the tank?

The height of a cylinder is 14 cm and its diameter is 10 cm.The volume of the cylinder is (a) 1100 cm3 (b) 3300 cm3 (c) 3500 cm3 (d) 7700 cm3

An autorickshaw charges ₹ 10 for the first kilometre, then ₹ 8 for each such subsequent kilometre. The total charge (in ₹) for d kilometres is ___ .

How many rectangles does a 3×3 square has?

p rase to power4 -256.. factorise

Question 104Rahim borrowed ₹1024000 from a bank for one year. If the bank charges interest of 5% per annum, compounded half-yearly, what amount will he have to pay after the given time period. Also, find the interest paid by him.

Find the rate of discount being given on a shirt whose selling price is ₹ 1092 after deducting a discount of ₹ 208 on its marked price.

A recipe for French toast calls for 3/4 litres of milk.If you want to make only 2/3of the recipe,how much milkshould you use? (Why are we multiplying).

Using identities ,evaluate 71 square

Question 65The negative of 1 is 1 itself.

15. A piece of equipment cost a certain factory Rs 600,000. If it depreciates in value, 15% the first, 13.5% the next year, 12% the third year, and so on. What will be its value at the end of 10 years, all percentages applying to the original cost ?

x3y2−zx2y+x4y3= _______×(xy−z+x2y2)

The value of m which satisfies (2)m+1×25=4−2 is: ___

Question 5(ii)Factorise the expressions and divide them as directed(m2−14m−32)÷(m+2)

33 is ______ number.

Factorise (a^3-b^3+1+3ab)

Question 52(ii) The graph given below gives the actual and expected sales of cars of the company for 6 months. Study the graph and answer the questions that follow. For which month(s) was (were) the difference in actual and expected sales the maximum?

The value of 4^6 ÷ 4^4 is

In the given figure, ABCD is a parallelogram. E is a point on DC. If AE bisects ∠A and BE bisects ∠B, then which of the following statements is correct?

Locate 52 on number line.

The volumes of two cylinders are a : b and their heights are c :d. Find the ratio of their diameters.

A rectangular yard contains two flower beds in the shape of congruent isosceles right triangle. The remaining portion is a yard of trapezoidal shape (see fig). Whose parallel sides have lengths 15 m and 25 m. What fraction of the yard is occupied by the flower bed?

When price of a commodity falls from Rs. 12 per unit to Rs. 9 per unit, the producer supplies 75 per cent less output. Calculate price elasticity of supply.

“I have 52 stamps in my collection”, Ruby said. Making some mental calculations, Razia said, ”I need 15 more to catch up with you”. How many stamps does Razia have?

43. X=at^2 y=2at then dy÷ dx=?

Find the solution for the following pair of equations3x−8y=4x=2y

Express 49 as a sum of seven odd numbers.

Find square root of 32.49 ?

A river 2 m deep and 45 m wide is flowing at the rate of 3 km/h. Find the quantity of water that runs into the sea per minute.

ABCD is the parallelogram. P, Q, R and S are the mid points of sides AB, BC, CD and AD. If ∠A=70o. Find the acute angle of intersection of diagonal of parallelogram PQRS.

The scores of a batsman in the last 10 innings were 10, 0, 25, 9, 24, 81, 28, 2, 1, and 59. What is the probability that he will score more than 30 runs in his next innings (in decimal)? __

A, B, C, D, E, F

When pressure increases, _____

(x2−4y2)÷(x+2y)=?

20 Find the sum of all natural number lying between 100 and 1000 which are multi ple of 5

A coin is tossed then a dice is thrown. Let A be the event ''head turns up on the coin and odd number turns up on the dice'' and B be the event ''tail turns up on the coin and an even number turns up on the dice''. Then A∩B′ is(where H represents head and T represents tail)

If south east becomes north,north east becomes west and so on. What will West?

Construct a triangle PQR in which PQ = 5.4 cm, QR = 5.5 cm and ∠PQR = 55°.