25365 + Interview Questions in Mathematics

1.	Question 57 State whether the following statement is true or false: The square root of 0.9 is 0.3
Answer» Question 57 State whether the following statement is true or false: The square root of 0.9 is 0.3

1.

Question 57 State whether the following statement is true or false: The square root of 0.9 is 0.3

Answer»

Question 57

State whether the following statement is true or false:

The square root of 0.9 is 0.3

2.	Which of the following terms is absent in irreducible form of 5x2+ 15x2+ 10xy + 30x
Answer» Which of the following terms is absent in irreducible form of 5 $x^{2}$ + 15 $x^{2}$ + 10xy + 30x

Discussion

3.	A sum of money lent out at 10 percent for 4 years produces twice as much as interest as ₹ 6000 in 312 years at 5 percent . Find the sum.
Answer» A sum of money lent out at 10 percent for 4 years produces twice as much as interest as ₹ 6000 in $3 \frac{1}{2}$ years at 5 percent . Find the sum.

Discussion

4.	One tap can fill a cistern in 3 hours and the waste pipe can empty the full cistern in 5 hours. In what time will the empty cistern be full, if the tap and the waste pipe are kept open together?
Answer» One tap can fill a cistern in 3 hours and the waste pipe can empty the full cistern in 5 hours. In what time will the empty cistern be full, if the tap and the waste pipe are kept open together?

Discussion

5.	Consider a triangle, rectangle and pentagon. What is the sum of the sides of these 3 polygons.
Answer» Consider a triangle, rectangle and pentagon. What is the sum of the sides of these 3 polygons.

Discussion

6.	Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD = 7cm and BD = 8cm?
Answer» Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD = 7cm and BD = 8cm?

Discussion

7.	If D is any point on the side BC of ΔABC then
Answer» If D is any point on the side BC of $Δ A B C$ then

Discussion

8.	The area (in sq. units) of the given figure is expressed as:
Answer» The area (in sq. units) of the given figure is expressed as:

Discussion

9.	Simplify: (xy+yz)2−(xy−yz)2
Answer» Simplify: ${(x y + y z)}^{2} - {(x y - y z)}^{2}$

Discussion

10.	The sum of first 16 odd numbers is:
Answer» The sum of first 16 odd numbers is:

Discussion

11.	If √3a=81,then a=?
Answer» If $\sqrt{3^{a}} = 81, t h e n a = ?$

Discussion

12.	Simplify :{16(−2)−13(−3)}÷15(−2)
Answer» Simplify : ${\frac{1}{6^{(- 2)}} - \frac{1}{3^{(- 3)}}} \div \frac{1}{5^{(- 2)}}$

Discussion

13.	Anil and Binod started a business by investing Rs. 35,000 and Rs. 13,000 respectively. At the end of every month, Anil withdraws certain amount from his investment and Binod invests the same amount as Anil has withdrawn. At the end of the year they share the profits in the ratio 1:1. Find the amount invested by Binod every month.
Answer» Anil and Binod started a business by investing Rs. 35,000 and Rs. 13,000 respectively. At the end of every month, Anil withdraws certain amount from his investment and Binod invests the same amount as Anil has withdrawn. At the end of the year they share the profits in the ratio 1:1. Find the amount invested by Binod every month.

Discussion

14.	XY and MN are two parallel chords of a circle whose diameter is XM. Then,
Answer» XY and MN are two parallel chords of a circle whose diameter is XM. Then,

Discussion

15.	Which of the following number gives a more accurate value of π?
Answer» Which of the following number gives a more accurate value of π?

Discussion

16.	The cross-section of a trough of depth 36 cm is a trapezium ABCD where AB = 50 cm as shown. If the area of ABCD is 2250 cm2, find the length of CD in cm.
Answer» The cross-section of a trough of depth 36 cm is a trapezium ABCD where AB = 50 cm as shown. If the area of ABCD is 2250 $c m^{2}$ , find the length of CD in cm.

16.

The cross-section of a trough of depth 36 cm is a trapezium ABCD where AB = 50 cm as shown. If the area of ABCD is 2250 cm2, find the length of CD in cm.

Answer»

The cross-section of a trough of depth 36 cm is a trapezium ABCD where AB = 50 cm as shown. If the area of ABCD is 2250 $c m^{2}$ , find the length of CD in cm.

Discussion

17.	If the equation of the tangent to the circle x=3+5cos θ, y=−1+5sinθ at the point (0,3) is Px+qy+r =0 and p>0 then p + q =
Answer» If the equation of the tangent to the circle x=3+5 $c o s θ$ , $y$ = $- 1 + 5 sin θ$ at the point (0,3) is $P x + q y + r$ =0 and $p > 0$ then p + q =

Discussion

18.	The volume of cuboid is 400 m3. Find its length if its breadth and height are 5 m and 10 m.
Answer» The volume of cuboid is 400 m³. Find its length if its breadth and height are 5 m and 10 m.

18.

The volume of cuboid is 400 m3. Find its length if its breadth and height are 5 m and 10 m.

Answer»

The volume of cuboid is 400 m³. Find its length if its breadth and height are 5 m and 10 m.

Discussion

19.	Two cubes each of volume 512 cm3 are joined end to end. What is the total surface area of the resultant shape?
Answer» Two cubes each of volume 512 cm3 are joined end to end. What is the total surface area of the resultant shape?

19.

Two cubes each of volume 512 cm3 are joined end to end. What is the total surface area of the resultant shape?

Answer»

Two cubes each of volume 512 cm3 are joined end to end. What is the total surface area of the resultant shape?

Discussion

20.	why are the pair of interior angles formed by traversal and two parallel line adds up to 180 ?
Answer» why are the pair of interior angles formed by traversal and two parallel line adds up to 180 ?

Discussion

21.	In an examination, there are three papers and a candidate has to get 40% of the total marks to pass. In one paper he scores 62 out of 150 and in the second he scores 35 out of 150.Total marks of third paper is 180. How much marks he needs in third paper to qualify for passing?
Answer» In an examination, there are three papers and a candidate has to get 40% of the total marks to pass. In one paper he scores 62 out of 150 and in the second he scores 35 out of 150.Total marks of third paper is 180. How much marks he needs in third paper to qualify for passing?

Discussion

22.	How to convert 37°C to Fahrenheit
Answer» How to convert 37°C to Fahrenheit

Discussion

23.	Factorise Completely : 1) x2-y2-3x-3y 2) x2-y2-2x-2y
Answer» Factorise Completely : 1) x²-y²-3x-3y 2) x²-y²-2x-2y

Discussion

24.	In a fraction, the numerator is 2 less than the denominator. If 4 is added to the denominator, the fraction becomes 14. Then find the product of the numerator and the denominator of the original fraction?
Answer» In a fraction, the numerator is 2 less than the denominator. If 4 is added to the denominator, the fraction becomes $\frac{1}{4}$ . Then find the product of the numerator and the denominator of the original fraction?

Discussion

25.	Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long should it take both A and B, working together but independently, to do the same job?
Answer» Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long should it take both A and B, working together but independently, to do the same job?

Discussion

26.	The linear equation 2x - 5 = 3x + 4 can be written as
Answer» The linear equation 2x - 5 = 3x + 4 can be written as

Discussion

27.	Question 99 Rational numbers can be added (or multiplied) in any order −45×−65=−65×−45
Answer» Question 99 Rational numbers can be added (or multiplied) in any order $\frac{- 4}{5} \times \frac{- 6}{5} = \frac{- 6}{5} \times \frac{- 4}{5}$

Discussion

28.	State the sets represented by the shaded portion of following venn-diagrams :
Answer» State the sets represented by the shaded portion of following venn-diagrams :

28.

State the sets represented by the shaded portion of following venn-diagrams :

Answer»

State the sets represented by the shaded portion of following venn-diagrams :

Discussion

29.	How many rational numbers are there between two numbers?
Answer» How many rational numbers are there between two numbers?

Discussion

30.	What is drawn in the first step in constructing a quadrilateral for which 2 sides and 3 angles are known?
Answer» What is drawn in the first step in constructing a quadrilateral for which 2 sides and 3 angles are known?

Discussion

31.	Question 2 In a diagnostic test in mathematics given to students, the following marks (out of 100) are recorded. 46, 52, 48, 11, 41, 62, 54, 53, 96, 40, 98 and 44. Which average will be a good representative of the above data and why?
Answer» Question 2 In a diagnostic test in mathematics given to students, the following marks (out of 100) are recorded. 46, 52, 48, 11, 41, 62, 54, 53, 96, 40, 98 and 44. Which average will be a good representative of the above data and why?

Discussion

32.	Which of the following data is not sufficient to draw a unique triangle?
Answer» Which of the following data is not sufficient to draw a unique triangle?

Discussion

33.	A triangle ABC has base angle 45∘. It's perimeter is [2+√2]. What type of triangle is it?
Answer» A triangle ABC has base angle $45^{\circ}$ . It's perimeter is $[2 + \sqrt{2}]$ . What type of triangle is it?

Discussion

34.	Question 25 Using suitable identity, evaluate the following (i) 1033 (ii) 101×102 (iii) 9992
Answer» Question 25 Using suitable identity, evaluate the following (i) $103^{3}$ (ii) $101 \times 102$ (iii) $999^{2}$

Discussion

35.	A number is divisible by 4 and 12. Is it necessary that it will be divisible by 48? Give another example in support of you answer. [3 MARKS]
Answer» A number is divisible by 4 and 12. Is it necessary that it will be divisible by 48? Give another example in support of you answer. [3 MARKS]

Discussion

36.	What is the probability of the least favoured graph? [3 MARKS]
Answer» What is the probability of the least favoured graph? [3 MARKS]

36.

What is the probability of the least favoured graph? [3 MARKS]

Answer»

What is the probability of the least favoured graph? [3 MARKS]

Discussion

37.	Two dice are thrown at the same time. Find the probability that the sum of numbers appearing is a prime.
Answer» Two dice are thrown at the same time. Find the probability that the sum of numbers appearing is a prime.

Discussion

38.	Factorise : 425−25b2
Answer» Factorise : $\frac{4}{25} - 25 b^{2}$

Discussion

39.	Twenty four is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. Find each part. [4 MARKS]
Answer» Twenty four is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. Find each part. [4 MARKS]

Discussion

40.	Find the cube root of 1.728
Answer» Find the cube root of 1.728

Discussion

41.	If 2x−1=25=2a−4, then find the value of x and a.
Answer» If $2^{x - 1} = 2^{5} = 2^{a - 4}$ , then find the value of $x$ and $a$ .

Discussion

42.	Find the square root of : (i) 245 correct to two places of decimal. (ii) 496 correct to three places of decimal. (iii) 82.6 correct to two places of decimal. (iv) 0.065 correct to three places of decimal. (v) 5.2005 correct to two places of decimal. (vi) 0.602 correct to two places of decimal.
Answer» Find the square root of : (i) 245 correct to two places of decimal. (ii) 496 correct to three places of decimal. (iii) 82.6 correct to two places of decimal. (iv) 0.065 correct to three places of decimal. (v) 5.2005 correct to two places of decimal. (vi) 0.602 correct to two places of decimal.

42.

Find the square root of : (i) 245 correct to two places of decimal. (ii) 496 correct to three places of decimal. (iii) 82.6 correct to two places of decimal. (iv) 0.065 correct to three places of decimal. (v) 5.2005 correct to two places of decimal. (vi) 0.602 correct to two places of decimal.

Answer»

Find the square root of :

(i) 245 correct to two places of decimal.

(ii) 496 correct to three places of decimal.

(iii) 82.6 correct to two places of decimal.

(iv) 0.065 correct to three places of decimal.

(v) 5.2005 correct to two places of decimal.

(vi) 0.602 correct to two places of decimal.

Discussion

43.	In a quadrilateral ABCD, AO and BO are bisectors of angle A and angle B respectively. Show that : ∠AOB=12(∠C+∠D)
Answer» In a quadrilateral ABCD, AO and BO are bisectors of angle A and angle B respectively. Show that : $∠ A O B = \frac{1}{2} (∠ C + ∠ D)$

43.

In a quadrilateral ABCD, AO and BO are bisectors of angle A and angle B respectively. Show that : ∠AOB=12(∠C+∠D)

Answer»

In a quadrilateral ABCD, AO and BO are bisectors of angle A and angle B respectively.

Show that :

$∠ A O B = \frac{1}{2} (∠ C + ∠ D)$

Discussion

44.	Expand: (i) (8a+3b)2 (ii) (7x+2y)2 (iii) (5x+11)2 (iv) (a2+2a)2 (v) (3x4+2y9)2 (vi) (9x−10)2 (vii) (x2y−yz2)2 (viii) (xy−yx)2 (ix) (3m−45n)2
Answer» Expand: (i) $(8 a + 3 b)^{2}$ (ii) $(7 x + 2 y)^{2}$ (iii) $(5 x + 11)^{2}$ (iv) ${(\frac{a}{2} + \frac{2}{a})}^{2}$ (v) ${(\frac{3 x}{4} + \frac{2 y}{9})}^{2}$ (vi) $(9 x - 10)^{2}$ (vii) $(x^{2} y - y z^{2})^{2}$ (viii) ${(\frac{x}{y} - \frac{y}{x})}^{2}$ (ix) ${(3 m - \frac{4}{5} n)}^{2}$

Discussion

45.	Solve : 5x−46=4x+1−3x+102
Answer» Solve : $\frac{5 x - 4}{6} = 4 x + 1 - \frac{3 x + 10}{2}$

45.

Solve : 5x−46=4x+1−3x+102

Answer»

Solve :

$\frac{5 x - 4}{6} = 4 x + 1 - \frac{3 x + 10}{2}$

Discussion

46.	By selling a pair of earrings at a discount of 25% on the marked price, a jeweller makes a profit of 16%. If the profit is Rs. 48, what is the cost price? What is the marked price and the price at which the pair was eventually bought?
Answer» By selling a pair of earrings at a discount of $25 %$ on the marked price, a jeweller makes a profit of $16 %$ . If the profit is Rs. 48, what is the cost price? What is the marked price and the price at which the pair was eventually bought?

Discussion

47.	Express −4298 as a rational number with denominator 7.
Answer» Express $\frac{- 42}{98}$ as a rational number with denominator 7.

Discussion

48.	Question 164(iv) If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.
Answer» Question 164(iv) If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use $(\times 1)$ machines.

48.

Question 164(iv) If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.

Answer»

Question 164(iv)

If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use
$(\times 1)$ machines.

Discussion

49.	A solid cube of metal each of whose sides measures 2.2 cm is melted to form a cylindrical wire of radius 1 mm. Find the length of the wire so obtained.
Answer» A solid cube of metal each of whose sides measures $2.2 c m$ is melted to form a cylindrical wire of radius $1 m m$ . Find the length of the wire so obtained.

Discussion

50.	Jasmine allows 4% discount on the marked price of her goods and still earns a profit of 20%. What is the cost price of a shirt for her marked at Rs. 850?
Answer» Jasmine allows $4 %$ discount on the marked price of her goods and still earns a profit of $20 %$ . What is the cost price of a shirt for her marked at Rs. 850?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 57 State whether the following statement is true or false: The square root of 0.9 is 0.3

Which of the following terms is absent in irreducible form of 5x2+ 15x2+ 10xy + 30x

A sum of money lent out at 10 percent for 4 years produces twice as much as interest as ₹ 6000 in 312 years at 5 percent . Find the sum.

One tap can fill a cistern in 3 hours and the waste pipe can empty the full cistern in 5 hours. In what time will the empty cistern be full, if the tap and the waste pipe are kept open together?

Consider a triangle, rectangle and pentagon. What is the sum of the sides of these 3 polygons.

Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD = 7cm and BD = 8cm?

If D is any point on the side BC of ΔABC then

The area (in sq. units) of the given figure is expressed as:

Simplify: (xy+yz)2−(xy−yz)2

The sum of first 16 odd numbers is:

If √3a=81,then a=?

Simplify :{16(−2)−13(−3)}÷15(−2)

XY and MN are two parallel chords of a circle whose diameter is XM. Then,

Which of the following number gives a more accurate value of π?

The cross-section of a trough of depth 36 cm is a trapezium ABCD where AB = 50 cm as shown. If the area of ABCD is 2250 cm2, find the length of CD in cm.

If the equation of the tangent to the circle x=3+5cos θ, y=−1+5sinθ at the point (0,3) is Px+qy+r =0 and p&gt;0 then p + q =

The volume of cuboid is 400 m3. Find its length if its breadth and height are 5 m and 10 m.

Two cubes each of volume 512 cm3 are joined end to end. What is the total surface area of the resultant shape?

why are the pair of interior angles formed by traversal and two parallel line adds up to 180 ?

In an examination, there are three papers and a candidate has to get 40% of the total marks to pass. In one paper he scores 62 out of 150 and in the second he scores 35 out of 150.Total marks of third paper is 180. How much marks he needs in third paper to qualify for passing?

How to convert 37°C to Fahrenheit

Factorise Completely : 1) x2-y2-3x-3y 2) x2-y2-2x-2y

In a fraction, the numerator is 2 less than the denominator. If 4 is added to the denominator, the fraction becomes 14. Then find the product of the numerator and the denominator of the original fraction?

Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long should it take both A and B, working together but independently, to do the same job?

The linear equation 2x - 5 = 3x + 4 can be written as

Question 99 Rational numbers can be added (or multiplied) in any order −45×−65=−65×−45

State the sets represented by the shaded portion of following venn-diagrams :

How many rational numbers are there between two numbers?

What is drawn in the first step in constructing a quadrilateral for which 2 sides and 3 angles are known?

Question 2 In a diagnostic test in mathematics given to students, the following marks (out of 100) are recorded. 46, 52, 48, 11, 41, 62, 54, 53, 96, 40, 98 and 44. Which average will be a good representative of the above data and why?

Which of the following data is not sufficient to draw a unique triangle?

A triangle ABC has base angle 45∘. It's perimeter is [2+√2]. What type of triangle is it?

Question 25 Using suitable identity, evaluate the following (i) 1033 (ii) 101×102 (iii) 9992

A number is divisible by 4 and 12. Is it necessary that it will be divisible by 48? Give another example in support of you answer. [3 MARKS]

What is the probability of the least favoured graph? [3 MARKS]

Two dice are thrown at the same time. Find the probability that the sum of numbers appearing is a prime.

Factorise : 425−25b2

Twenty four is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. Find each part. [4 MARKS]

Find the cube root of 1.728

If 2x−1=25=2a−4, then find the value of x and a.

Find the square root of : (i) 245 correct to two places of decimal. (ii) 496 correct to three places of decimal. (iii) 82.6 correct to two places of decimal. (iv) 0.065 correct to three places of decimal. (v) 5.2005 correct to two places of decimal. (vi) 0.602 correct to two places of decimal.

In a quadrilateral ABCD, AO and BO are bisectors of angle A and angle B respectively. Show that : ∠AOB=12(∠C+∠D)

Expand: (i) (8a+3b)2 (ii) (7x+2y)2 (iii) (5x+11)2 (iv) (a2+2a)2 (v) (3x4+2y9)2 (vi) (9x−10)2 (vii) (x2y−yz2)2 (viii) (xy−yx)2 (ix) (3m−45n)2

Solve : 5x−46=4x+1−3x+102

By selling a pair of earrings at a discount of 25% on the marked price, a jeweller makes a profit of 16%. If the profit is Rs. 48, what is the cost price? What is the marked price and the price at which the pair was eventually bought?

Express −4298 as a rational number with denominator 7.

Question 164(iv) If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.

A solid cube of metal each of whose sides measures 2.2 cm is melted to form a cylindrical wire of radius 1 mm. Find the length of the wire so obtained.

Jasmine allows 4% discount on the marked price of her goods and still earns a profit of 20%. What is the cost price of a shirt for her marked at Rs. 850?

If the equation of the tangent to the circle x=3+5cos θ, y=−1+5sinθ at the point (0,3) is Px+qy+r =0 and p>0 then p + q =