25365 + Interview Questions in Mathematics

1.	When we add 5a2b+6ab+7bc+54 with 14ab+8ac+16, we will get:
Answer» When we add $5 a^{2} b + 6 a b + 7 b c + 54$ with $14 a b + 8 a c + 16$ , we will get:

Discussion

2.	Using Euler's formula find the number of faces of polyhedron having 6 vertices and 12 edges.
Answer» Using Euler's formula find the number of faces of polyhedron having 6 vertices and 12 edges.

Discussion

3.	Find two rational numbers between -2 to 2.
Answer» Find two rational numbers between -2 to 2.

Discussion

4.	The number formed by the expression 3000 + 900 + 60 + 1 is ___
Answer» The number formed by the expression 3000 + 900 + 60 + 1 is ___

Discussion

5.	Simplify and express in exponential form: [(52)3×54]÷57 [3 MARKS]
Answer» Simplify and express in exponential form: $[(5^{2})^{3} \times 5^{4}] \div 5^{7}$ [3 MARKS]

Discussion

6.	Solve each of the following equations and also verify your solution : 3a−23+2a+32=a+76
Answer» Solve each of the following equations and also verify your solution : $\frac{3 a - 2}{3} + \frac{2 a + 3}{2} = a + \frac{7}{6}$

6.

Solve each of the following equations and also verify your solution : 3a−23+2a+32=a+76

Answer»

Solve each of the following equations and also verify your solution :

$\frac{3 a - 2}{3} + \frac{2 a + 3}{2} = a + \frac{7}{6}$

Discussion

7.	Find the value of the expression (9x2+24x+16) when x=12
Answer» Find the value of the expression $(9 x^{2} + 24 x + 16)$ when $x = 12$

Discussion

8.	A Venn diagram consists of___.
Answer» A Venn diagram consists of___.

Discussion

9.	(6ab−b2+12ac−2bc) divided by (6a−b) gives .
Answer» $(6 a b - b^{2} + 12 a c - 2 b c) d i v i d e d b y (6 a - b)$ gives .

Discussion

10.	The ratio of the radii of two cylinders is 2:3 and the ratio of their heights is 5:3.The ratio of their volumes will be (a) 4:9 (b) 9:4 (c) 20:27 (d) 27:20
Answer» The ratio of the radii of two cylinders is $2 : 3$ and the ratio of their heights is $5 : 3.$ The ratio of their volumes will be (a) $4 : 9$ (b) $9 : 4$ (c) $20 : 27$ (d) $27 : 20$

10.

The ratio of the radii of two cylinders is 2:3 and the ratio of their heights is 5:3.The ratio of their volumes will be (a) 4:9 (b) 9:4 (c) 20:27 (d) 27:20

Answer»

The ratio of the radii of two cylinders is $2 : 3$ and the ratio of their heights is $5 : 3.$ The ratio of their volumes will be

(a) $4 : 9$

(b) $9 : 4$

(c) $20 : 27$

(d) $27 : 20$

Discussion

11.	The C.I. to be paid when a sum of ₹ 10,000 is taken for one year at 10% per annum compounded quarterly is
Answer» The C.I. to be paid when a sum of ₹ 10,000 is taken for one year at 10% per annum compounded quarterly is

Discussion

12.	Which of the following property(s) for division of Rational numbers do not exist?
Answer» Which of the following property(s) for division of Rational numbers do not exist?

Discussion

13.	Question 1(i) Find the cube root of each of the following numbers by prime factorization method: 64
Answer» Question 1(i) Find the cube root of each of the following numbers by prime factorization method: 64

Discussion

14.	A tank having a capacity of 4096 m3 is used by 4 families. If each family uses 4 buckets of water every day and the volume of the bucket is 16m3, then the water in the tank will last for at least how many weeks?
Answer» A tank having a capacity of $4096 m^{3}$ is used by 4 families. If each family uses 4 buckets of water every day and the volume of the bucket is $16 m^{3}$ , then the water in the tank will last for at least how many weeks?

Discussion

15.	A can do 2/3 of a certain work in 16 days and B can do1/4of the same work in 3days . In how many days can both finish the work ,working together
Answer» A can do 2/3 of a certain work in 16 days and B can do1/4of the same work in 3days . In how many days can both finish the work ,working together

Discussion

16.	A log of wood is cylindrical in shape.The radius and height of the log is 1 cm and 6 cm respectively. What area needs to be covered if the log has to be painted completely ?
Answer» A log of wood is cylindrical in shape.The radius and height of the log is 1 cm and 6 cm respectively. What area needs to be covered if the log has to be painted completely ?

16.

A log of wood is cylindrical in shape.The radius and height of the log is 1 cm and 6 cm respectively. What area needs to be covered if the log has to be painted completely ?

Answer»

A log of wood is cylindrical in shape.The radius and height of the log is 1 cm and 6 cm respectively. What area needs to be covered if the log has to be painted completely ?

Discussion

17.	Welfare Association collected rupees 202500 as donation from the residence .If each paid as many Rupees as there were residents,find the number of residents
Answer» Welfare Association collected rupees 202500 as donation from the residence .If each paid as many Rupees as there were residents,find the number of residents

Discussion

18.

Study the table below and answer the question that follows : Beverages % of vitamin % of minerals % of micronutrients Cost/250gm (In ₹) Orange juice 20 10 40 7 Pineapple juice 15 20 10 10 Litchi juice 12 18 30 8 Which of the following beverages contains the maximum amount of Vitamins : i) Litchi juice worth ₹ 16 ii) Pineapple juice worth ₹ 15 iii) Orange juice worth ₹ 8 iv) All the three worth ₹ 12.5 (125 grams each)

Answer»

Study the table below and answer the question that follows :

Beverages	% of vitamin	% of minerals	% of micronutrients	Cost/250gm (In ₹)
Orange juice	20	10	40	7
Pineapple juice	15	20	10	10
Litchi juice	12	18	30	8

Which of the following beverages contains the maximum amount of Vitamins :

i) Litchi juice worth ₹ 16

ii) Pineapple juice worth ₹ 15

iii) Orange juice worth ₹ 8

iv) All the three worth ₹ 12.5 (125 grams each)

Discussion

19.	Prove the divisibility of 7.
Answer» Prove the divisibility of 7.

Discussion

20.	If by selling 110 mangoes, the cost price of 120 mangoes is realized. The gain percent is?
Answer» If by selling 110 mangoes, the cost price of 120 mangoes is realized. The gain percent is?

Discussion

21.	Malik deposited Rs 10000 in a bank at a certain rate which is compounded annually. At the end of two years, the sum amounted to Rs 12100. If the interest had been compounded quarterly, then what would have been the amount on the same sum at the end of six months?
Answer» Malik deposited Rs 10000 in a bank at a certain rate which is compounded annually. At the end of two years, the sum amounted to Rs 12100. If the interest had been compounded quarterly, then what would have been the amount on the same sum at the end of six months?

21.

Malik deposited Rs 10000 in a bank at a certain rate which is compounded annually. At the end of two years, the sum amounted to Rs 12100. If the interest had been compounded quarterly, then what would have been the amount on the same sum at the end of six months?

Answer»

Malik deposited Rs 10000 in a bank at a certain rate which is compounded annually. At the end of two years, the sum amounted to Rs 12100.

If the interest had been compounded quarterly, then what would have been the amount on the same sum at the end of six months?

Discussion

22.	A trapezium has an area of 570 cm2, the height of the trapezium is 5 cm and the larger parallel side is twice in length as the smaller parallel side.Choose the correct option.
Answer» A trapezium has an area of 570 cm², the height of the trapezium is 5 cm and the larger parallel side is twice in length as the smaller parallel side.Choose the correct option.

Discussion

23.	In a row of 40 boys facing the north, Amar is 6th to the right of Sundeep and Sundeep is 11th to the left of Vijay. If Amar is 28th from the right end of the row, what is the position of Vijay from the left end of the row ?
Answer» In a row of 40 boys facing the north, Amar is 6th to the right of Sundeep and Sundeep is 11th to the left of Vijay. If Amar is 28th from the right end of the row, what is the position of Vijay from the left end of the row ?

Discussion

24.	Question 17 Write the correct answer from the given four options. A perfect square can never have the following digit in its one's place. a) 1 b) 8 c) 0 d) 6
Answer» Question 17 Write the correct answer from the given four options. A perfect square can never have the following digit in its one's place. a) 1 b) 8 c) 0 d) 6

24.

Question 17 Write the correct answer from the given four options. A perfect square can never have the following digit in its one's place. a) 1 b) 8 c) 0 d) 6

Answer»

Question 17

Write the correct answer from the given four options.

A perfect square can never have the following digit in its one's place.

a) 1
b) 8
c) 0
d) 6

Discussion

25.	Tho parallel sides of a trapezium are in the ratio 3 : 4. If the distance between the parallel sides Is 9 dm and its area is 126dm2, find the lengths of its parallel sides.
Answer» Tho parallel sides of a trapezium are in the ratio 3 : 4. If the distance between the parallel sides Is 9 dm and its area is $126 d m^{2}$ , find the lengths of its parallel sides.

Discussion

26.	Question 17 If x=5y, then x and y vary ___with each other.
Answer» Question 17 If x=5y, then x and y vary ___with each other.

26.

Question 17 If x=5y, then x and y vary ___with each other.

Answer»

Question 17

If x=5y, then x and y vary ___with each other.

Discussion

27.	Compute the following differences (10.3×9.7)−(10.7×9.3)
Answer» Compute the following differences $(10.3 \times 9.7) - (10.7 \times 9.3)$

Discussion

28.	5 years hence, the age of a man shall be 3 times the age of his son while 5 years earlier the age of the man was 7 times the age of his son.The present age of the man is (a) 45 years (b) 50 years (c) 47 years (d) 40 years
Answer» 5 years hence, the age of a man shall be 3 times the age of his son while 5 years earlier the age of the man was 7 times the age of his son.The present age of the man is (a) 45 years (b) 50 years (c) 47 years (d) 40 years

28.

5 years hence, the age of a man shall be 3 times the age of his son while 5 years earlier the age of the man was 7 times the age of his son.The present age of the man is (a) 45 years (b) 50 years (c) 47 years (d) 40 years

Answer»

5 years hence, the age of a man shall be 3 times the age of his son while 5 years earlier the age of the man was 7 times the age of his son.The present age of the man is

(a) 45 years (b) 50 years (c) 47 years (d) 40 years

Discussion

29.	If 3676.48 can be written in expanded form as: 3×10a+b×102+7×10c+6×100+4×10d+e×10−2 . Find the value of a+b−c−d−e. __
Answer» If 3676.48 can be written in expanded form as: $3 \times 10^{a} + b \times 10^{2} + 7 \times 10^{c} + 6 \times 10^{0} + 4 \times 10^{d} + e \times 10^{- 2}$ . $Find the value of a + b - c - d - e .$ __

Discussion

30.	Solve for x:x > √1−x
Answer» Solve for x:x > $\sqrt{1 - x}$

Discussion

31.	Opposite angles of a parallelogram are (3x−2)∘ and (50−x)∘. Find the measure of each angle of the parallelogram.
Answer» Opposite angles of a parallelogram are $(3 x - 2)^{\circ}$ and $(50 - x)^{\circ}$ . Find the measure of each angle of the parallelogram.

Discussion

32.	What least number must be added to 15370 to make it a perfect square? (a) 4 (b) 6 (c) 8 (d) 9
Answer» What least number must be added to 15370 to make it a perfect square? (a) 4 (b) 6 (c) 8 (d) 9

Discussion

33.	A bag has 4 red balls 2 yellow balls and a ball is drawn from the bag without looking into the bag. What is the probability of getting a red ball? Is the probability of getting a red ball more or less than getting a yellow ball?
Answer» A bag has $4$ red balls $2$ yellow balls and a ball is drawn from the bag without looking into the bag. What is the probability of getting a red ball? Is the probability of getting a red ball more or less than getting a yellow ball?

Discussion

34.	Solve the following equations and verify your answer : 2−yy+7=35
Answer» Solve the following equations and verify your answer : $\frac{2 - y}{y + 7} = \frac{3}{5}$

34.

Solve the following equations and verify your answer : 2−yy+7=35

Answer»

Solve the following equations and verify your answer :

$\frac{2 - y}{y + 7} = \frac{3}{5}$

Discussion

35.	Question 35 A die is tossed two times. The number of possible outcomes is (a) 12 (b) 24 (c) 36 (d) 30
Answer» Question 35 A die is tossed two times. The number of possible outcomes is (a) 12 (b) 24 (c) 36 (d) 30

35.

Question 35 A die is tossed two times. The number of possible outcomes is (a) 12 (b) 24 (c) 36 (d) 30

Answer»

Question 35

A die is tossed two times. The number of possible outcomes is
(a) 12
(b) 24
(c) 36
(d) 30

Discussion

36.	In the parallelogram ABCD, ΔAOB is congruent to
Answer» In the parallelogram ABCD, $Δ A O B$ is congruent to

36.

In the parallelogram ABCD, ΔAOB is congruent to

Answer»

In the parallelogram ABCD, $Δ A O B$ is congruent to

Discussion

37.	Construct a quadrilateral ABCD in which AB = 5.6 cm, BC = 4 cm, ∠A=50∘, ∠B=105∘ and ∠D=80∘.
Answer» Construct a quadrilateral ABCD in which AB = 5.6 cm, BC = 4 cm, $∠ A = 50^{\circ}$ , $∠ B = 105^{\circ}$ and $∠ D = 80^{\circ}$ .

Discussion

38.	The weekly pocket expenses (in rupees) of 30 students of a class are given below: 62 ,80 ,110 , 75 , 84 , 73 , 60 , 62, 100 , 87 , 78 , 94 ,117, 86, 65, 68, 90, 80,118 ,72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115. Then which of the below frequency table is correct one?
Answer» The weekly pocket expenses (in rupees) of 30 students of a class are given below: 62 ,80 ,110 , 75 , 84 , 73 , 60 , 62, 100 , 87 , 78 , 94 ,117, 86, 65, 68, 90, 80,118 ,72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115. Then which of the below frequency table is correct one?

Discussion

39.	Two candles of the same height are lighted at the same timee of the 1st is consumed in 4 hours and the second is 3 hours assuming that each candle burns at constant rate in how many hours after being lighted was the first candle twice the height of second.
Answer» Two candles of the same height are lighted at the same timee of the 1st is consumed in 4 hours and the second is 3 hours assuming that each candle burns at constant rate in how many hours after being lighted was the first candle twice the height of second.

Discussion

40.	m2−10m+21 = (m−7)x.
Answer» $m^{2} - 10 m + 21$ = $(m - 7)$ x.

Discussion

41.	Which of the following is a regular polyhedron?
Answer» Which of the following is a regular polyhedron?

Discussion

42.	There are 3 cab companies A, B and C. They provide cab service at different time slots. The time taken for the trip depends upon the driver skill. The bar graph shown below gives the details. Suppose you have to reach your class as early as possible before 10 am. Which of the cabs will you choose and which time slot?
Answer» There are 3 cab companies A, B and C. They provide cab service at different time slots. The time taken for the trip depends upon the driver skill. The bar graph shown below gives the details. Suppose you have to reach your class as early as possible before 10 am. Which of the cabs will you choose and which time slot?

42.

There are 3 cab companies A, B and C. They provide cab service at different time slots. The time taken for the trip depends upon the driver skill. The bar graph shown below gives the details. Suppose you have to reach your class as early as possible before 10 am. Which of the cabs will you choose and which time slot?

Answer»

There are 3 cab companies A, B and C. They provide cab service at different time slots. The time taken for the trip depends upon the driver skill. The bar graph shown below gives the details.

Suppose you have to reach your class as early as possible before 10 am. Which of the cabs will you choose and which time slot?

Discussion

43.	Find the value of sqrt5 correct to 2 decimal places; then use it to find the square root of 3−√53+√5 correct to 2 significant digits.
Answer» Find the value of $s q r t 5$ correct to 2 decimal places; then use it to find the square root of $\frac{3 - \sqrt{5}}{3 + \sqrt{5}}$ correct to 2 significant digits.

43.

Find the value of sqrt5 correct to 2 decimal places; then use it to find the square root of 3−√53+√5 correct to 2 significant digits.

Answer»

Find the value of $s q r t 5$ correct to 2 decimal places; then use it to find the square root of $\frac{3 - \sqrt{5}}{3 + \sqrt{5}}$ correct to 2 significant digits.

Discussion

44.	Given that x+1x = 4 ; find x2+1x2
Answer» Given that $x + \frac{1}{x}$ = 4 ; find $x^{2} + \frac{1}{x^{2}}$

Discussion

45.	Expand (3x−2y+4)(3x−2y−4)
Answer» Expand $(3 x - 2 y + 4) (3 x - 2 y - 4)$

Discussion

46.	A linear equation in one variable is _________. Fill in the blank with the correct option.
Answer» A linear equation in one variable is _________. Fill in the blank with the correct option.

Discussion

47.	Solve the following equation : 1x−1+2x−2=3x−3
Answer» Solve the following equation : $\frac{1}{x - 1} + \frac{2}{x - 2} = \frac{3}{x - 3}$

47.

Solve the following equation : 1x−1+2x−2=3x−3

Answer»

Solve the following equation :

$\frac{1}{x - 1} + \frac{2}{x - 2} = \frac{3}{x - 3}$

Discussion

48.	Which of the following equation(s) is\are linear equation(s) in one variable?
Answer» Which of the following equation(s) is\are linear equation(s) in one variable?

Discussion

49.	If 10800=2a × 3b × 5c then find the value of a, b and c.
Answer» If $10800 = 2^{a} \times 3^{b} \times 5^{c}$ then find the value of a, b and c.

Discussion

50.	What is the smallest number by which 392 must be multiplied so that the product is a perfect cube?
Answer» What is the smallest number by which $392$ must be multiplied so that the product is a perfect cube?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

When we add 5a2b+6ab+7bc+54 with 14ab+8ac+16, we will get:

Using Euler's formula find the number of faces of polyhedron having 6 vertices and 12 edges.

Find two rational numbers between -2 to 2.

The number formed by the expression 3000 + 900 + 60 + 1 is ___

Simplify and express in exponential form: [(52)3×54]÷57 [3 MARKS]

Solve each of the following equations and also verify your solution : 3a−23+2a+32=a+76

Find the value of the expression (9x2+24x+16) when x=12

A Venn diagram consists of___.

(6ab−b2+12ac−2bc) divided by (6a−b) gives .

The ratio of the radii of two cylinders is 2:3 and the ratio of their heights is 5:3.The ratio of their volumes will be (a) 4:9 (b) 9:4 (c) 20:27 (d) 27:20

The C.I. to be paid when a sum of ₹ 10,000 is taken for one year at 10% per annum compounded quarterly is

Which of the following property(s) for division of Rational numbers do not exist?

Question 1(i) Find the cube root of each of the following numbers by prime factorization method: 64

A tank having a capacity of 4096 m3 is used by 4 families. If each family uses 4 buckets of water every day and the volume of the bucket is 16m3, then the water in the tank will last for at least how many weeks?

A can do 2/3 of a certain work in 16 days and B can do1/4of the same work in 3days . In how many days can both finish the work ,working together

A log of wood is cylindrical in shape.The radius and height of the log is 1 cm and 6 cm respectively. What area needs to be covered if the log has to be painted completely ?

Welfare Association collected rupees 202500 as donation from the residence .If each paid as many Rupees as there were residents,find the number of residents

Prove the divisibility of 7.

If by selling 110 mangoes, the cost price of 120 mangoes is realized. The gain percent is?

Malik deposited Rs 10000 in a bank at a certain rate which is compounded annually. At the end of two years, the sum amounted to Rs 12100. If the interest had been compounded quarterly, then what would have been the amount on the same sum at the end of six months?

A trapezium has an area of 570 cm2, the height of the trapezium is 5 cm and the larger parallel side is twice in length as the smaller parallel side.Choose the correct option.

In a row of 40 boys facing the north, Amar is 6th to the right of Sundeep and Sundeep is 11th to the left of Vijay. If Amar is 28th from the right end of the row, what is the position of Vijay from the left end of the row ?

Question 17 Write the correct answer from the given four options. A perfect square can never have the following digit in its one's place. a) 1 b) 8 c) 0 d) 6

Tho parallel sides of a trapezium are in the ratio 3 : 4. If the distance between the parallel sides Is 9 dm and its area is 126dm2, find the lengths of its parallel sides.

Question 17 If x=5y, then x and y vary ___with each other.

Compute the following differences (10.3×9.7)−(10.7×9.3)

5 years hence, the age of a man shall be 3 times the age of his son while 5 years earlier the age of the man was 7 times the age of his son.The present age of the man is (a) 45 years (b) 50 years (c) 47 years (d) 40 years

If 3676.48 can be written in expanded form as: 3×10a+b×102+7×10c+6×100+4×10d+e×10−2 . Find the value of a+b−c−d−e. __

Solve for x:x &gt; √1−x

Opposite angles of a parallelogram are (3x−2)∘ and (50−x)∘. Find the measure of each angle of the parallelogram.

What least number must be added to 15370 to make it a perfect square? (a) 4 (b) 6 (c) 8 (d) 9

A bag has 4 red balls 2 yellow balls and a ball is drawn from the bag without looking into the bag. What is the probability of getting a red ball? Is the probability of getting a red ball more or less than getting a yellow ball?

Solve the following equations and verify your answer : 2−yy+7=35

Question 35 A die is tossed two times. The number of possible outcomes is (a) 12 (b) 24 (c) 36 (d) 30

In the parallelogram ABCD, ΔAOB is congruent to

Construct a quadrilateral ABCD in which AB = 5.6 cm, BC = 4 cm, ∠A=50∘, ∠B=105∘ and ∠D=80∘.

The weekly pocket expenses (in rupees) of 30 students of a class are given below: 62 ,80 ,110 , 75 , 84 , 73 , 60 , 62, 100 , 87 , 78 , 94 ,117, 86, 65, 68, 90, 80,118 ,72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115. Then which of the below frequency table is correct one?

Two candles of the same height are lighted at the same timee of the 1st is consumed in 4 hours and the second is 3 hours assuming that each candle burns at constant rate in how many hours after being lighted was the first candle twice the height of second.

m2−10m+21 = (m−7)x.

Which of the following is a regular polyhedron?

Find the value of sqrt5 correct to 2 decimal places; then use it to find the square root of 3−√53+√5 correct to 2 significant digits.

Given that x+1x = 4 ; find x2+1x2

Expand (3x−2y+4)(3x−2y−4)

A linear equation in one variable is _________. Fill in the blank with the correct option.

Solve the following equation : 1x−1+2x−2=3x−3

Which of the following equation(s) is\are linear equation(s) in one variable?

If 10800=2a × 3b × 5c then find the value of a, b and c.

What is the smallest number by which 392 must be multiplied so that the product is a perfect cube?

Solve for x:x > √1−x