19743 + Interview Questions in Mathematics Page 199 InterviewSolution

9901.	A ribbon of length 514 m is cut into small pieces each of length 34 m. How many number of the small pieces will be?
Answer» A ribbon of length $5 \frac{1}{4}$ m is cut into small pieces each of length $\frac{3}{4}$ m. How many number of the small pieces will be?

Discussion

9902.	Two straight lines 3x+4y=5 and 4x−3y=15 intersect at point A. Two points B and C are chosen on these lines such that AB=AC. If the two possible equations of BC passing through (1,2) are a1x+b1y+13=0 and a2x+b2y+9=0, then the value of a2b1−a1b2 is equal to
Answer» Two straight lines $3 x + 4 y = 5$ and $4 x - 3 y = 15$ intersect at point $A .$ Two points $B$ and $C$ are chosen on these lines such that $A B = A C .$ If the two possible equations of $B C$ passing through $(1, 2)$ are $a_{1} x + b_{1} y + 13 = 0$ and $a_{2} x + b_{2} y + 9 = 0$ , then the value of $a_{2} b_{1} - a_{1} b_{2}$ is equal to

Discussion

9903.	16.37 and 18.97 are examples of which type of decimals? (like or Unlike)
Answer» 16.37 and 18.97 are examples of which type of decimals? (like or Unlike)

Discussion

9904.	Reciprocal of the fraction 2/3
Answer» Reciprocal of the fraction 2/3

Discussion

9905.	Question 12A total of 25 patients admitted to a hospital are tested for levels of blood sugar, (mg/dl) and the results obtained were as follows:87718367857769766585855470688073786885738178817775Find mean, median and mode (mg/dl) of the above data.
Answer» Question 12 A total of 25 patients admitted to a hospital are tested for levels of blood sugar, (mg/dl) and the results obtained were as follows: $\begin{matrix} 87 & 71 & 83 & 67 & 85 77 & 69 & 76 & 65 & 85 85 & 54 & 70 & 68 & 80 73 & 78 & 68 & 85 & 73 81 & 78 & 81 & 77 & 75 \end{matrix}$ Find mean, median and mode (mg/dl) of the above data.

Discussion

9906.	There are___methods of representing a set.
Answer» There are___methods of representing a set.

Discussion

9907.	What is the radius of a circle whose diameter is 4.8 cm?
Answer» What is the radius of a circle whose diameter is 4.8 cm?

Discussion

9908.	Question 4Show that the diagonals of a square are equal and bisect each other at right angles.
Answer» Question 4 Show that the diagonals of a square are equal and bisect each other at right angles.

Discussion

9909.	All equal sets are ___.
Answer» All equal sets are ___.

Discussion

9910.	Question 85 (iv)Expand the following, using suitable identities.(23x−32y)2
Answer» Question 85 (iv) Expand the following, using suitable identities. ${(\frac{2}{3} x - \frac{3}{2} y)}^{2}$

9910.

Question 85 (iv)Expand the following, using suitable identities.(23x−32y)2

Answer»

Question 85 (iv)

Expand the following, using suitable identities.

${(\frac{2}{3} x - \frac{3}{2} y)}^{2}$

Discussion

9911.	(-10 x -10 x -10 x -10 x -10 x -10 x -10 x -10) divided by (-5 x -5 x -5 x -5 x -5) gives
Answer» (-10 x -10 x -10 x -10 x -10 x -10 x -10 x -10) divided by (-5 x -5 x -5 x -5 x -5) gives

Discussion

9912.	Write the steps which should be followed to check if two terms are like or unlike. Are x2y and xy like terms? [3 MARKS]
Answer» Write the steps which should be followed to check if two terms are like or unlike. Are $x^{2} y$ and $x y$ like terms? [3 MARKS]

Discussion

9913.	If Shami travels 1 km in 1.25 hrs, then how much time will he take to reach 2000 metres?
Answer» If Shami travels 1 km in 1.25 hrs, then how much time will he take to reach 2000 metres?

Discussion

9914.	What are the minimum criteria required to construct an in-circle?
Answer» What are the minimum criteria required to construct an in-circle?

Discussion

9915.	Four burning candles are covered as shown. Arrange them in decreasing order of the time for which they will continue to burn.
Answer» Four burning candles are covered as shown. Arrange them in decreasing order of the time for which they will continue to burn.

Discussion

9916.	Which out of the following are expressions with numbers only? (a) y + 3 (b) (7 × 20) − 8z (c) 5 (21 − 7) + 7 × 2 (d) 5 (e) 3x (f) 5 − 5n (g) (7 × 20) − (5 × 10) − 45 + p
Answer» Which out of the following are expressions with numbers only? (a) y + 3 (b) (7 × 20) − 8z (c) 5 (21 − 7) + 7 × 2 (d) 5 (e) 3x (f) 5 − 5n (g) (7 × 20) − (5 × 10) − 45 + p

9916.

Which out of the following are expressions with numbers only? (a) y + 3 (b) (7 × 20) − 8z (c) 5 (21 − 7) + 7 × 2 (d) 5 (e) 3x (f) 5 − 5n (g) (7 × 20) − (5 × 10) − 45 + p

Answer»

Which out of the following are expressions with numbers only?

(a) y + 3 (b) (7 ×
20) − 8z

(c) 5 (21 − 7) + 7 ×
2 (d) 5

(e) 3x (f) 5 − 5n

(g) (7 × 20) − (5 ×
10) − 45 + p

Discussion

9917.	(i) How are cylinders formed from a prism? (ii) How are cones formed from pyramids? [2 MARKS]
Answer» (i) How are cylinders formed from a prism? (ii) How are cones formed from pyramids? [2 MARKS]

Discussion

9918.	80% of 200 multiplied by 60% of 300 gives :
Answer» 80% of 200 multiplied by 60% of 300 gives :

Discussion

9919.	In a scalene acute ΔABC, it is known that the line joining circumcentre and ortho centre is parallel to BC then the angle A lies in which of the following intervals:
Answer» In a scalene acute $Δ A B C,$ it is known that the line joining circumcentre and ortho centre is parallel to $B C$ then the angle $A$ lies in which of the following intervals:

Discussion

9920.	in the equation s=u+a/2(2n-1) is n a whole number
Answer» in the equation s=u+a/2(2n-1) is n a whole number

Discussion

9921.	Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the area of the circle. If the same wire is bent into the shape of a square, what will be the area of the square? (Take π =227)
Answer» Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the area of the circle. If the same wire is bent into the shape of a square, what will be the area of the square? (Take π = $\frac{22}{7}$ )

Discussion

9922.	With respect to the previous problem, which of the following angles is NOT equal to x (∠ABC)?
Answer» With respect to the previous problem, which of the following angles is NOT equal to x $(∠ A B C)$ ?

9922.

With respect to the previous problem, which of the following angles is NOT equal to x (∠ABC)?

Answer»

With respect to the previous problem, which of the following angles is NOT equal to x $(∠ A B C)$ ?

Discussion

9923.	If 21L of milk is to be poured in cartons such that each carton holds 37L of milk, find the number of cartons needed to accomodate all the available milk.
Answer» $If 21 L of milk is to be poured in cartons such that each carton holds \frac{3}{7} L of milk, find the number of cartons needed to accomodate all the available milk .$

Discussion

9924.	Write the next three numbers in the given pattern05, 08, 11, ___, ___, ___
Answer» Write the next three numbers in the given pattern 05, 08, 11, ___, ___, ___

9924.

Write the next three numbers in the given pattern05, 08, 11, _, _, ___

Answer»

Write the next three numbers in the given pattern

05, 08, 11, ___, ___, ___

Discussion

9925.	Sudhir is painting statues. After some time, he finds that (78)th of the paint is left. Each statue requires (116)th of the paint. Number of statues that he can still paint is
Answer» Sudhir is painting statues. After some time, he finds that ${(\frac{7}{8})}^{t h}$ of the paint is left. Each statue requires ${(\frac{1}{16})}^{t h}$ of the paint. Number of statues that he can still paint is

9925.

Sudhir is painting statues. After some time, he finds that (78)th of the paint is left. Each statue requires (116)th of the paint. Number of statues that he can still paint is

Answer»

Sudhir is painting statues. After some time, he finds that ${(\frac{7}{8})}^{t h}$ of the paint is left. Each statue requires

${(\frac{1}{16})}^{t h}$ of the paint. Number of statues that he can still paint is

Discussion

9926.	Express the result of the sum 8 + 5 in the form of tally marks?
Answer» Express the result of the sum 8 + 5 in the form of tally marks?

Discussion

9927.	Arithmetic mean of 9 observations was calculated as 45. In doing so, an observation was wrongly taken as 42 instead of 24. What would then be the correct mean ?
Answer» Arithmetic mean of 9 observations was calculated as 45. In doing so, an observation was wrongly taken as 42 instead of 24. What would then be the correct mean ?

Discussion

9928.	Domain of route 16-x2
Answer» Domain of route 16-x2

Discussion

9929.	If the wheel of a car makes four complete rotation and half a turn, then find the number of straight angles through which it turned.
Answer» If the wheel of a car makes four complete rotation and half a turn, then find the number of straight angles through which it turned.

Discussion

9930.	Choose the correct option that groups 20 coins into tens and ones.
Answer» Choose the correct option that groups 20 coins into tens and ones.

Discussion

9931.	a−b times a+b is equal to
Answer» $a - b$ times $a + b$ is equal to

Discussion

9932.	Question 18 Shifting one term from one side of an equation to another side with a change of sign is known as (a) commutativity (b) transposition (c) distributivity (d) associativity
Answer» Question 18 Shifting one term from one side of an equation to another side with a change of sign is known as (a) commutativity (b) transposition (c) distributivity (d) associativity

9932.

Question 18 Shifting one term from one side of an equation to another side with a change of sign is known as (a) commutativity (b) transposition (c) distributivity (d) associativity

Answer»

Question 18

Shifting one term from one side of an equation to another side with a change of sign is known as

(a) commutativity
(b) transposition
(c) distributivity
(d) associativity

Discussion

9933.	The base of triangle of a triangular field is three times its height of the cost of cultivating the field at ₹2800 per hectare is₹37800 find the base and height
Answer» The base of triangle of a triangular field is three times its height of the cost of cultivating the field at ₹2800 per hectare is₹37800 find the base and height

Discussion

9934.	Find the median of the following data: 13, 15, 18, 14, 22, 42, 9, 6, 15, 21.
Answer» Find the median of the following data: 13, 15, 18, 14, 22, 42, 9, 6, 15, 21.

Discussion

9935.	Select the pair of integers (a,b) such that ab=−4
Answer» Select the pair of integers $(a, b)$ such that $\frac{a}{b} = - 4$

Discussion

9936.	The ascending arrangement of 23, 67, 1321, is-
Answer» The ascending arrangement of $\frac{2}{3}$ , $\frac{6}{7}$ , $\frac{13}{21}$ , is-

Discussion

9937.	Question 103 In the given figure,QP\|\|RS. Find the values of a and b.
Answer» Question 103 In the given figure, $Q P \| \| R S .$ Find the values of a and b.

9937.

Question 103 In the given figure,QP||RS. Find the values of a and b.

Answer»

Question 103

In the given figure, $Q P | | R S .$ Find the values of a and b.

Discussion

9938.	How many hemispheres are there in a Sphere?2
Answer» How many hemispheres are there in a Sphere? 2

Discussion

9939.	One box is 30 cm 5 mm tall. Another box is 20 cm tall. How tall will the boxes be if both are placed one on top of the other?
Answer» One box is $30 cm 5 mm$ tall. Another box is $20 cm$ tall. How tall will the boxes be if both are placed one on top of the other?

Discussion

9940.	Question 131Can you find a rational number whose multiplicative inverse is - 1?
Answer» Question 131 Can you find a rational number whose multiplicative inverse is - 1?

Discussion

9941.	The minimum number of bits required to represent -16 in 2's complement representation is _____5
Answer» The minimum number of bits required to represent -16 in 2's complement representation is _____ 5

Discussion

9942.	In ΔABC, if AB = 24 cm, BC = 10 cm and AC = 26 cm, then ∠B = __________.
Answer» In ΔABC, if AB = 24 cm, BC = 10 cm and AC = 26 cm, then ∠B = __________.

Discussion

9943.	If the mid-points of sides of quadrilateral are joined in order,prove that the area of parallelogram so formed will be half of area of the given quadrilateral.
Answer» If the mid-points of sides of quadrilateral are joined in order,prove that the area of parallelogram so formed will be half of area of the given quadrilateral.

Discussion

9944.	What are the real-life examples of parallel lines?
Answer» What are the real-life examples of parallel lines?

Discussion

9945.	0×(-15/8)
Answer» 0×(-15/8)

Discussion

9946.	The ages of Leena and Heena are in the ratio 7:5. Ten years hence, the ratio of their ages will be 9:7. Find the present ages.
Answer» The ages of Leena and Heena are in the ratio $7 : 5$ . Ten years hence, the ratio of their ages will be $9 : 7$ . Find the present ages.

Discussion

9947.	The scale of a map is given as 1 : 5,00,00,000. When my movements are mapped onto the map, it is seen that I have moved 4 cm towards the north and then 5 cm towards the east. How much total distance have I travelled actually?
Answer» The scale of a map is given as 1 : 5,00,00,000. When my movements are mapped onto the map, it is seen that I have moved 4 cm towards the north and then 5 cm towards the east. How much total distance have I travelled actually?

Discussion

9948.	Find: (i) 2.7 ÷ 100 (ii) 0.3 ÷ 100 (iii) 0.78 ÷ 100 (iv) 432.6 ÷ 100 (v) 23.6 ÷ 100 (vi) 98.53 ÷ 100
Answer» Find: (i) 2.7 ÷ 100 (ii) 0.3 ÷ 100 (iii) 0.78 ÷ 100 (iv) 432.6 ÷ 100 (v) 23.6 ÷ 100 (vi) 98.53 ÷ 100

9948.

Find: (i) 2.7 ÷ 100 (ii) 0.3 ÷ 100 (iii) 0.78 ÷ 100 (iv) 432.6 ÷ 100 (v) 23.6 ÷ 100 (vi) 98.53 ÷ 100

Answer»

Find:

(i) 2.7 ÷
100 (ii) 0.3 ÷
100 (iii) 0.78 ÷ 100

(iv) 432.6
÷ 100 (v) 23.6 ÷
100 (vi) 98.53 ÷ 100

Discussion

9949.	If x is equal to 1/10 and y is equal to (-3/8) Then what will be x+y ,. x-y ,and x multiplied by y
Answer» If x is equal to 1/10 and y is equal to (-3/8) Then what will be x+y ,. x-y ,and x multiplied by y

Discussion

9950.	Find the value of4(216)−23+1(256)−34+2(243)−15
Answer» Find the value of $\frac{4}{(216)^{- \frac{2}{3}}} + \frac{1}{(256)^{- \frac{3}{4}}} + \frac{2}{(243)^{- \frac{1}{5}}}$

Discussion

Explore topic-wise InterviewSolutions in .

A ribbon of length 514 m is cut into small pieces each of length 34 m. How many number of the small pieces will be?

Two straight lines 3x+4y=5 and 4x−3y=15 intersect at point A. Two points B and C are chosen on these lines such that AB=AC. If the two possible equations of BC passing through (1,2) are a1x+b1y+13=0 and a2x+b2y+9=0, then the value of a2b1−a1b2 is equal to

16.37 and 18.97 are examples of which type of decimals? (like or Unlike)

Reciprocal of the fraction 2/3

Question 12A total of 25 patients admitted to a hospital are tested for levels of blood sugar, (mg/dl) and the results obtained were as follows:87718367857769766585855470688073786885738178817775Find mean, median and mode (mg/dl) of the above data.

There are___methods of representing a set.

What is the radius of a circle whose diameter is 4.8 cm?

Question 4Show that the diagonals of a square are equal and bisect each other at right angles.

All equal sets are ___.

Question 85 (iv)Expand the following, using suitable identities.(23x−32y)2

(-10 x -10 x -10 x -10 x -10 x -10 x -10 x -10) divided by (-5 x -5 x -5 x -5 x -5) gives

Write the steps which should be followed to check if two terms are like or unlike. Are x2y and xy like terms? [3 MARKS]

If Shami travels 1 km in 1.25 hrs, then how much time will he take to reach 2000 metres?

What are the minimum criteria required to construct an in-circle?

Four burning candles are covered as shown. Arrange them in decreasing order of the time for which they will continue to burn.

Which out of the following are expressions with numbers only? (a) y + 3 (b) (7 × 20) − 8z (c) 5 (21 − 7) + 7 × 2 (d) 5 (e) 3x (f) 5 − 5n (g) (7 × 20) − (5 × 10) − 45 + p

(i) How are cylinders formed from a prism? (ii) How are cones formed from pyramids? [2 MARKS]

80% of 200 multiplied by 60% of 300 gives :

In a scalene acute ΔABC, it is known that the line joining circumcentre and ortho centre is parallel to BC then the angle A lies in which of the following intervals:

in the equation s=u+a/2(2n-1) is n a whole number

Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the area of the circle. If the same wire is bent into the shape of a square, what will be the area of the square? (Take π =227)

With respect to the previous problem, which of the following angles is NOT equal to x (∠ABC)?

If 21L of milk is to be poured in cartons such that each carton holds 37L of milk, find the number of cartons needed to accomodate all the available milk.

Write the next three numbers in the given pattern05, 08, 11, ___, ___, ___

Sudhir is painting statues. After some time, he finds that (78)th of the paint is left. Each statue requires (116)th of the paint. Number of statues that he can still paint is

Express the result of the sum 8 + 5 in the form of tally marks?

Arithmetic mean of 9 observations was calculated as 45. In doing so, an observation was wrongly taken as 42 instead of 24. What would then be the correct mean ?

Domain of route 16-x2

If the wheel of a car makes four complete rotation and half a turn, then find the number of straight angles through which it turned.

Choose the correct option that groups 20 coins into tens and ones.

a−b times a+b is equal to

Question 18 Shifting one term from one side of an equation to another side with a change of sign is known as (a) commutativity (b) transposition (c) distributivity (d) associativity

The base of triangle of a triangular field is three times its height of the cost of cultivating the field at ₹2800 per hectare is₹37800 find the base and height

Find the median of the following data: 13, 15, 18, 14, 22, 42, 9, 6, 15, 21.

Select the pair of integers (a,b) such that ab=−4

The ascending arrangement of 23, 67, 1321, is-

Question 103 In the given figure,QP||RS. Find the values of a and b.

How many hemispheres are there in a Sphere?2

One box is 30 cm 5 mm tall. Another box is 20 cm tall. How tall will the boxes be if both are placed one on top of the other?

Question 131Can you find a rational number whose multiplicative inverse is - 1?

The minimum number of bits required to represent -16 in 2's complement representation is _____5

In ΔABC, if AB = 24 cm, BC = 10 cm and AC = 26 cm, then ∠B = __________.

If the mid-points of sides of quadrilateral are joined in order,prove that the area of parallelogram so formed will be half of area of the given quadrilateral.

What are the real-life examples of parallel lines?

0×(-15/8)

The ages of Leena and Heena are in the ratio 7:5. Ten years hence, the ratio of their ages will be 9:7. Find the present ages.

The scale of a map is given as 1 : 5,00,00,000. When my movements are mapped onto the map, it is seen that I have moved 4 cm towards the north and then 5 cm towards the east. How much total distance have I travelled actually?

Find: (i) 2.7 ÷ 100 (ii) 0.3 ÷ 100 (iii) 0.78 ÷ 100 (iv) 432.6 ÷ 100 (v) 23.6 ÷ 100 (vi) 98.53 ÷ 100

If x is equal to 1/10 and y is equal to (-3/8) Then what will be x+y ,. x-y ,and x multiplied by y

Find the value of4(216)−23+1(256)−34+2(243)−15

Write the next three numbers in the given pattern05, 08, 11, _, _, ___