25365 + Interview Questions in Mathematics

1.	Find the sum of all natural numbers between 100 and 200 that are not divisible by 5.
Answer» Find the sum of all natural numbers between 100 and 200 that are not divisible by 5.

Discussion

2.	How many small squares of size 1 cm are there in this big green square?
Answer» How many small squares of size 1 cm are there in this big green square?

Discussion

3.	To construct a rectangle ABCD given AC = 6 cm and angle between diagonals is 30∘, find the property of the rectangle that will be used to construct the rectangle ABCD.
Answer» To construct a rectangle ABCD given AC = 6 cm and angle between diagonals is $30^{\circ}$ , find the property of the rectangle that will be used to construct the rectangle ABCD.

Discussion

4.	How to locate 7.28 geometrically on number line ?mention the steps ?
Answer» How to locate 7.28 geometrically on number line ?mention the steps ?

Discussion

5.	Identify terms which contain x and give the coefficient of x.(i) y2x+y(ii) 13y2−8yx(iii) x + y + 2(iv) 5 + z + zx(v) 1 + x + xy(vi) 12xy2 + 25(vii)7x + xy2
Answer» Identify terms which contain x and give the coefficient of x. (i) $y^{2} x + y$ (ii) $13 y^{2} - 8 y x$ (iii) x + y + 2 (iv) 5 + z + zx (v) 1 + x + xy (vi) $12 x y^{2} + 25$ (vii) $7 x + x y^{2}$

5.

Identify terms which contain x and give the coefficient of x.(i) y2x+y(ii) 13y2−8yx(iii) x + y + 2(iv) 5 + z + zx(v) 1 + x + xy(vi) 12xy2 + 25(vii)7x + xy2

Answer»

Identify terms which contain x and give the coefficient of x.

(i) $y^{2} x + y$

(ii) $13 y^{2} - 8 y x$

(iii) x + y + 2

(iv) 5 + z + zx

(v) 1 + x + xy

(vi) $12 x y^{2} + 25$

(vii) $7 x + x y^{2}$

Discussion

6.	A particular work can be completed by 6 men and 6 women in 24 days; whereas the same work can be completed by 8 men and 12 women in 15 days. Find: i) According to the amount of work done, one man is equivalent to how many women. ii) The time taken by 4 men and 6 women to complete the same work.
Answer» A particular work can be completed by 6 men and 6 women in 24 days; whereas the same work can be completed by 8 men and 12 women in 15 days. Find: i) According to the amount of work done, one man is equivalent to how many women. ii) The time taken by 4 men and 6 women to complete the same work.

6.

A particular work can be completed by 6 men and 6 women in 24 days; whereas the same work can be completed by 8 men and 12 women in 15 days. Find: i) According to the amount of work done, one man is equivalent to how many women. ii) The time taken by 4 men and 6 women to complete the same work.

Answer»

A particular work can be completed by 6 men and 6 women in 24 days; whereas the same work can be completed by 8 men and 12 women in 15 days. Find:

i) According to the amount of work done, one man is equivalent to how many women.

ii) The time taken by 4 men and 6 women to complete the same work.

Discussion

7.	Find the area of the right triangle whose one side passes through the center of the circle having a radius of 5 units and base of the triangle lies on a chord of length 8 cm.
Answer» Find the area of the right triangle whose one side passes through the center of the circle having a radius of $5 units$ and base of the triangle lies on a chord of length $8 cm$ .

Discussion

8.	Question 5 (v) An organization selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below:Monthly income(in Rs)Vehicles per family012Above 2Less than 7000101602507000−10000030527210000−13000153529113000−160002469592516000 or more15798288Suppose a family is chosen, find the probability that the family chosen is (v) owning not more than 1 vehicle.
Answer» Question 5 (v) An organization selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below: $\begin{matrix} Monthly income(in Rs) & Vehicles per family 0 & 1 & 2 & Above 2 Less than 7000 & 10 & 160 & 25 & 0 7000 - 10000 & 0 & 305 & 27 & 2 10000 - 13000 & 1 & 535 & 29 & 1 13000 - 16000 & 2 & 469 & 59 & 25 16000 or more & 1 & 579 & 82 & 88 \end{matrix}$ Suppose a family is chosen, find the probability that the family chosen is (v) owning not more than 1 vehicle.

Discussion

9.	A wire attached to a vertical pole of height 20 m is 29 m long and has a stake attached to its other end. How far from the base of the pole should the stake be driven so that the wire will be taut?
Answer» A wire attached to a vertical pole of height 20 m is 29 m long and has a stake attached to its other end. How far from the base of the pole should the stake be driven so that the wire will be taut?

Discussion

10.	Write converses of the following statements.(i) The alternate angles formed by two parallel lines and their transversal are congruent.(ii) If a pair of the interior angles made by a transversal of two lines are supplementary then the lines are parallel.(iii) The diagonals of a rectangle are congruent.
Answer» Write converses of the following statements. (i) The alternate angles formed by two parallel lines and their transversal are congruent. (ii) If a pair of the interior angles made by a transversal of two lines are supplementary then the lines are parallel. (iii) The diagonals of a rectangle are congruent.

Discussion

11.	A shopkeeper charged Rs.1242 for a geyser which includes 8% tax on it. Find the selling price (without tax) of the geyser.
Answer» A shopkeeper charged Rs.1242 for a geyser which includes $8 %$ tax on it. Find the selling price (without tax) of the geyser.

Discussion

12.	A pack of 2kg of sugar contains 8×106 crystals and a sack contains 3 packs of sugar. In 12 sacks, what will be the weight of sugar present?
Answer» A pack of 2kg of sugar contains $8 \times 10^{6}$ crystals and a sack contains 3 packs of sugar. In 12 sacks, what will be the weight of sugar present?

Discussion

13.	The average marks of Smith and Max in a quiz is 62. In the same quiz, the average marks of Ellen and Max is 65 and that of Smith and Ellen is 64. What will be the average marks of all three of them in the quiz?
Answer» The average marks of Smith and Max in a quiz is $62$ . In the same quiz, the average marks of Ellen and Max is $65$ and that of Smith and Ellen is $64$ . What will be the average marks of all three of them in the quiz?

Discussion

14.	If Selling price .............. Cost price , Then it is profit
Answer» If Selling price .............. Cost price , Then it is profit

Discussion

15.	Factorise the expression: x2+5x−6
Answer» Factorise the expression: $x^{2} + 5 x - 6$

Discussion

16.	How many three digit numbers divisible by 19 have the sum of the digits is 19 ?(1) 2(2) 3(1) 1(4) 47
Answer» How many three digit numbers divisible by 19 have the sum of the digits is 19 ? (1) 2 (2) 3 (1) 1 (4) 47

Discussion

17.	Question 74For rational numbers x and y, if x < y, then x - y is a positive rational number.
Answer» Question 74 For rational numbers x and y, if x < y, then x - y is a positive rational number.

Discussion

18.	What percent is 1/8 of 625?
Answer» What percent is 1/8 of 625?

Discussion

19.	If the edge of a cube is tripled,find the ratio of the surface areas and that of a volumes of the two cubes.
Answer» If the edge of a cube is tripled,find the ratio of the surface areas and that of a volumes of the two cubes.

Discussion

20.	Question 83 (xvi) Multiply the following: (ab + c), (ab + c)
Answer» Question 83 (xvi) Multiply the following: (ab + c), (ab + c)

Discussion

21.	Mark the correct alternative in each of the following:Reciprocal of -34 is(a) 34 (b) 43 (c) -43 (d) None of these
Answer» Mark the correct alternative in each of the following: Reciprocal of $\frac{- 3}{4}$ is (a) $\frac{3}{4}$ (b) $\frac{4}{3}$ (c) $\frac{- 4}{3}$ (d) None of these

Discussion

22.	Write the polynomial 5x3−6x+4x2+8 in standard form.
Answer» Write the polynomial $5 x^{3} - 6 x + 4 x^{2} + 8$ in standard form.

Discussion

23.	The roster form of the set {x:x=2r+3, where r∈I and −2<r≤3}.
Answer» The roster form of the set ${x : x = 2 r + 3, where r \in I and - 2 < r \leq 3}$ .

Discussion

24.	ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠DBC=80∘,∠BAC is 40∘, find ∠BCD.
Answer» ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If $∠ D B C = 80^{\circ}, ∠ B A C$ is $40^{\circ},$ find $∠ B C D$ .

Discussion

25.	Question 186Construct a trapezium ABCD in which AB∥DC,∠A=105∘, AD = 3 cm, AB = 4 cm and CD = 8 cm.
Answer» Question 186 Construct a trapezium ABCD in which $A B ∥ D C, ∠ A = 105^{\circ}$ , AD = 3 cm, AB = 4 cm and CD = 8 cm.

Discussion

26.	The angles of a quadrilateral are in the ratio 3:5:7:9. Find the measure of each of these angles.
Answer» The angles of a quadrilateral are in the ratio 3:5:7:9. Find the measure of each of these angles.

Discussion

27.	To start a business if Raju invested ₹20000, Ravi invested ₹30000 and Surya invested ₹40000, they got a total profit of ₹450 and decided to divide in the ratio of investments then how much money did Ravi get?
Answer» To start a business if Raju invested ₹20000, Ravi invested ₹30000 and Surya invested ₹40000, they got a total profit of ₹450 and decided to divide in the ratio of investments then how much money did Ravi get?

Discussion

28.	10. How does synthetic division is proved and it's proof
Answer» 10. How does synthetic division is proved and it's proof

Discussion

29.	The vertices of a triangle are p ( 4,6 ), q ( 1,5 ) and r ( 7,12 ).A line is drawn to intersect sides pq and pr at d and e respectively such that pdpq=pepr=14. calculate the area of the ΔPDE
Answer» The vertices of a triangle are p ( 4,6 ), q ( 1,5 ) and r ( 7,12 ).A line is drawn to intersect sides pq and pr at d and e respectively such that $\frac{p d}{p q} = \frac{p e}{p r} = \frac{1}{4}$ . calculate the area of the $Δ P D E$

Discussion

30.	Let ABC be a triangle such that ∠B = 70° and ∠C = 40°. Suppose D is a point on BC such that AB = AD. Prove that AB > CD.
Answer» Let ABC be a triangle such that ∠B = 70° and ∠C = 40°. Suppose D is a point on BC such that AB = AD. Prove that AB > CD.

Discussion

31.	Observe the following number pattern and identify which term will come instead of ?.1, 5, 9, 13, ?
Answer» Observe the following number pattern and identify which term will come instead of ?. 1, 5, 9, 13, ?

Discussion

32.	Question 12Product of 6a2−7b+5ab and 2ab isa) 12a3b−14ab2+10abb) 12a3b−14ab2+10a2b2c) 6a2−7b+7abd) 12a2b−7ab2+10ab
Answer» Question 12 Product of $6 a^{2} - 7 b + 5 a b$ and $2 a b$ is a) $12 a^{3} b - 14 a b^{2} + 10 a b$ b) $12 a^{3} b - 14 a b^{2} + 10 a^{2} b^{2}$ c) $6 a^{2} - 7 b + 7 a b$ d) $12 a^{2} b - 7 a b^{2} + 10 a b$

Discussion

33.	The present population of a town is 28000. If it increases at the rate of 5% per annum, what will be its population after 2 years?
Answer» The present population of a town is 28000. If it increases at the rate of $5 %$ per annum, what will be its population after 2 years?

Discussion

34.	By how much amount 63 has to be increased or decreased, to round it off to the nearest 10?3
Answer» By how much amount 63 has to be increased or decreased, to round it off to the nearest 10? 3

Discussion

35.	36. Find the value of square root of 7 up to six decimal places by long division method.
Answer» 36. Find the value of square root of 7 up to six decimal places by long division method.

Discussion

36.	What should be subtracted from −16 to get 712?
Answer» What should be subtracted from $\frac{- 1}{6}$ to get $\frac{7}{12}$ ?

Discussion

37.	The area of the shaded region in the figure given below is:
Answer» The area of the shaded region in the figure given below is:

Discussion

38.	The perimeter of a rhombus is 20 cm . The ratio of it's diagonals is 3:4 . Find the length of the longest diagonal
Answer» The perimeter of a rhombus is 20 cm . The ratio of it's diagonals is 3:4 . Find the length of the longest diagonal

Discussion

39.	6.What is meant by histogram
Answer» 6.What is meant by histogram

Discussion

40.	Choose the rational numbers whose numerator is (−5)×6, and the denominator is (34−23)×(7−5).
Answer» Choose the rational numbers whose numerator is $(- 5) \times 6$ , and the denominator is $(34 - 23) \times (7 - 5)$ .

Discussion

41.	A negative base can be created by rewriting which of the following exponents?
Answer» A negative base can be created by rewriting which of the following exponents?

Discussion

42.	The sum of three numbers is 123. The ratio of first to second number is 2:3.and the ratio of the second to the third is 4: 7. Find the third number.
Answer» The sum of three numbers is 123. The ratio of first to second number is 2:3.and the ratio of the second to the third is 4: 7. Find the third number.

Discussion

43.	Find the compound interest on ₹ 10,000 in 2 years at 4% per annum, the interest being compounded half-yearly.
Answer» Find the compound interest on ₹ 10,000 in 2 years at 4 $%$ per annum, the interest being compounded half-yearly.

Discussion

44.	ΔABC is right angled at A. AB = 60 units, AC = 80 units and BC = 100 units. D is a point between B and C such that ΔADB and ΔADC have equal perimeters. What is the length of BD?
Answer» $Δ A B C$ is right angled at A. AB = 60 units, AC = 80 units and BC = 100 units. D is a point between B and C such that $Δ A D B$ and $Δ A D C$ have equal perimeters. What is the length of BD?

Discussion

45.	If the side of a cube is tripled, by what factor does its lateral surface area change?9
Answer» If the side of a cube is tripled, by what factor does its lateral surface area change? 9

Discussion

46.	Question 9A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.
Answer» Question 9 A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.

Discussion

47.	In a quadrilateral MIST, MI = 3.5 cm, IS = 6.5 cm, Angle M = 75∘, Angle I = 105∘ and Angle S = 120∘. Which line segment should be drawn first?
Answer» In a quadrilateral MIST, MI = 3.5 cm, IS = 6.5 cm, Angle M = $75^{\circ}$ , Angle I = $105^{\circ}$ and Angle S = $120^{\circ}$ . Which line segment should be drawn first?

Discussion

48.	Ranjana mother give to her rupees 245 for buying new year cards. if he got some 10 rupees Cards , 2 / 3 as many as 5 rupees cards, and 1 / 5 as many 15 rupees cards. how many of each kind did she buy
Answer» Ranjana mother give to her rupees 245 for buying new year cards. if he got some 10 rupees Cards , 2 / 3 as many as 5 rupees cards, and 1 / 5 as many 15 rupees cards. how many of each kind did she buy

Discussion

49.	if X and Y are two sets find the value of X∩{(X∪ Y)}^c
Answer» if X and Y are two sets find the value of X∩{(X∪ Y)}^c

Discussion

50.	Find two consecutive number whose squares have the sum 85
Answer» Find two consecutive number whose squares have the sum 85

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Find the sum of all natural numbers between 100 and 200 that are not divisible by 5.

How many small squares of size 1 cm are there in this big green square?

To construct a rectangle ABCD given AC = 6 cm and angle between diagonals is 30∘, find the property of the rectangle that will be used to construct the rectangle ABCD.

How to locate 7.28 geometrically on number line ?mention the steps ?

Identify terms which contain x and give the coefficient of x.(i) y2x+y(ii) 13y2−8yx(iii) x + y + 2(iv) 5 + z + zx(v) 1 + x + xy(vi) 12xy2 + 25(vii)7x + xy2

A particular work can be completed by 6 men and 6 women in 24 days; whereas the same work can be completed by 8 men and 12 women in 15 days. Find: i) According to the amount of work done, one man is equivalent to how many women. ii) The time taken by 4 men and 6 women to complete the same work.

Find the area of the right triangle whose one side passes through the center of the circle having a radius of 5 units and base of the triangle lies on a chord of length 8 cm.

A wire attached to a vertical pole of height 20 m is 29 m long and has a stake attached to its other end. How far from the base of the pole should the stake be driven so that the wire will be taut?

A shopkeeper charged Rs.1242 for a geyser which includes 8% tax on it. Find the selling price (without tax) of the geyser.

A pack of 2kg of sugar contains 8×106 crystals and a sack contains 3 packs of sugar. In 12 sacks, what will be the weight of sugar present?

The average marks of Smith and Max in a quiz is 62. In the same quiz, the average marks of Ellen and Max is 65 and that of Smith and Ellen is 64. What will be the average marks of all three of them in the quiz?

If Selling price .............. Cost price , Then it is profit

Factorise the expression: x2+5x−6

How many three digit numbers divisible by 19 have the sum of the digits is 19 ?(1) 2(2) 3(1) 1(4) 47

Question 74For rational numbers x and y, if x < y, then x - y is a positive rational number.

What percent is 1/8 of 625?

If the edge of a cube is tripled,find the ratio of the surface areas and that of a volumes of the two cubes.

Question 83 (xvi) Multiply the following: (ab + c), (ab + c) ​​​​​​

Mark the correct alternative in each of the following:Reciprocal of -34 is(a) 34 (b) 43 (c) -43 (d) None of these

Write the polynomial 5x3−6x+4x2+8 in standard form.

The roster form of the set {x:x=2r+3, where r∈I and −2&lt;r≤3}.

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠DBC=80∘,∠BAC is 40∘, find ∠BCD.

Question 186Construct a trapezium ABCD in which AB∥DC,∠A=105∘, AD = 3 cm, AB = 4 cm and CD = 8 cm.

The angles of a quadrilateral are in the ratio 3:5:7:9. Find the measure of each of these angles.

To start a business if Raju invested ₹20000, Ravi invested ₹30000 and Surya invested ₹40000, they got a total profit of ₹450 and decided to divide in the ratio of investments then how much money did Ravi get?

10. How does synthetic division is proved and it's proof

The vertices of a triangle are p ( 4,6 ), q ( 1,5 ) and r ( 7,12 ).A line is drawn to intersect sides pq and pr at d and e respectively such that pdpq=pepr=14. calculate the area of the ΔPDE

Let ABC be a triangle such that ∠B = 70° and ∠C = 40°. Suppose D is a point on BC such that AB = AD. Prove that AB &gt; CD.

Observe the following number pattern and identify which term will come instead of ?.1, 5, 9, 13, ?

Question 12Product of 6a2−7b+5ab and 2ab isa) 12a3b−14ab2+10abb) 12a3b−14ab2+10a2b2c) 6a2−7b+7abd) 12a2b−7ab2+10ab

The present population of a town is 28000. If it increases at the rate of 5% per annum, what will be its population after 2 years?

By how much amount 63 has to be increased or decreased, to round it off to the nearest 10?3

36. Find the value of square root of 7 up to six decimal places by long division method.

What should be subtracted from −16 to get 712?

The area of the shaded region in the figure given below is:

The perimeter of a rhombus is 20 cm . The ratio of it's diagonals is 3:4 . Find the length of the longest diagonal

6.What is meant by histogram

Choose the rational numbers whose numerator is (−5)×6, and the denominator is (34−23)×(7−5).

A negative base can be created by rewriting which of the following exponents?

The sum of three numbers is 123. The ratio of first to second number is 2:3.and the ratio of the second to the third is 4: 7. Find the third number.

Find the compound interest on ₹ 10,000 in 2 years at 4% per annum, the interest being compounded half-yearly.

ΔABC is right angled at A. AB = 60 units, AC = 80 units and BC = 100 units. D is a point between B and C such that ΔADB and ΔADC have equal perimeters. What is the length of BD?

If the side of a cube is tripled, by what factor does its lateral surface area change?9

Question 9A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.

In a quadrilateral MIST, MI = 3.5 cm, IS = 6.5 cm, Angle M = 75∘, Angle I = 105∘ and Angle S = 120∘. Which line segment should be drawn first?

Ranjana mother give to her rupees 245 for buying new year cards. if he got some 10 rupees Cards , 2 / 3 as many as 5 rupees cards, and 1 / 5 as many 15 rupees cards. how many of each kind did she buy

if X and Y are two sets find the value of X∩{(X∪ Y)}^c

Find two consecutive number whose squares have the sum 85

Question 83 (xvi) Multiply the following: (ab + c), (ab + c)

The roster form of the set {x:x=2r+3, where r∈I and −2<r≤3}.

Let ABC be a triangle such that ∠B = 70° and ∠C = 40°. Suppose D is a point on BC such that AB = AD. Prove that AB > CD.