25365 + Interview Questions in Mathematics Page 72 InterviewSolution

3551.	A contractor undertakes to build a wall 1000 m long in 50 days. He employs 56 men, but at the end of 27 days, he finds that only 448 m of wall is built. How many extra men must the contractor employ so that the wall is completed in time?
Answer» A contractor undertakes to build a wall 1000 m long in 50 days. He employs 56 men, but at the end of 27 days, he finds that only 448 m of wall is built. How many extra men must the contractor employ so that the wall is completed in time?

Discussion

3552.	The coordinates of a point are (x, y). If the point lies in the 2nd quadrant, then?
Answer» The coordinates of a point are (x, y). If the point lies in the 2nd quadrant, then?

Discussion

3553.	A shopkeeper announces a discount of 10% on a TV set. The marked price of the TV is Rs 22,000. How much will a customer have to pay for buying the TV set if the rate of sales tax is 8%. [3 MARKS]
Answer» A shopkeeper announces a discount of $10 %$ on a TV set. The marked price of the TV is Rs 22,000. How much will a customer have to pay for buying the TV set if the rate of sales tax is $8 %$ . [3 MARKS]

Discussion

3554.	construct a traingle ABC such that BC =6cm AB=6cm and median AD=4cm
Answer» construct a traingle ABC such that BC =6cm AB=6cm and median AD=4cm

Discussion

3555.

In the following dataset, mode with outlier is , and mode without outlier is . 10156341515

Answer»

In the following dataset, mode with outlier is , and mode without outlier is .

1

0

1

5

6

3

4

15

15

Discussion

3556.	Why we take the value of pi as 22/7. Don't say it is mathematically calculated.
Answer» Why we take the value of pi as 22/7. Don't say it is mathematically calculated.

Discussion

3557.	Solve for the value of t.3t+116−3t−37=t−48+3t+114
Answer» $Solve for the value of t. \frac{3 t + 1}{16} - \frac{3 t - 3}{7} = \frac{t - 4}{8} + \frac{3 t + 1}{14}$

Discussion

3558.	What amount Rajiv will receive if he invests ₹ 10,000 at a rate of 10% per annum simple interest on April 18, 2020, if he invests the money on September 12, 2017
Answer» What amount Rajiv will receive if he invests ₹ 10,000 at a rate of 10% per annum simple interest on April 18, 2020, if he invests the money on September 12, 2017

Discussion

3559.	Just by looking at the numbers, identify which of the following can not be a perfect square.
Answer» Just by looking at the numbers, identify which of the following can not be a perfect square.

Discussion

3560.	Question 66 In a factory, women are 35% of all the workers, the rest of the workers being men. The number of men exceeds that of women by 252. Find the total number of workers in the factory.
Answer» Question 66 In a factory, women are 35% of all the workers, the rest of the workers being men. The number of men exceeds that of women by 252. Find the total number of workers in the factory.

3560.

Question 66 In a factory, women are 35% of all the workers, the rest of the workers being men. The number of men exceeds that of women by 252. Find the total number of workers in the factory.

Answer»

Question 66

In a factory, women are 35% of all the workers, the rest of the workers being men. The number of men exceeds that of women by 252. Find the total number of workers in the factory.

Discussion

3561.	Solve for Y.3√6,125×(Y)=35
Answer» Solve for $Y .$ $\sqrt[3]{6, 125 \times (Y)} = 35$

Discussion

3562.	What is the height of the cuboid if it's volume is 504 cm3, length is 9 cm and breadth is 8 cm ?
Answer» What is the height of the cuboid if it's volume is $504 {cm}^{3}, length is 9 cm and breadth is 8 cm ?$

Discussion

3563.	Question 74Find the values of x and y if a and b are in inverse proportion
Answer» Question 74 Find the values of x and y if a and b are in inverse proportion

3563.

Question 74Find the values of x and y if a and b are in inverse proportion

Answer»

Question 74

Find the values of x and y if a and b are in inverse proportion

Discussion

3564.	A tank with length,breadth and height of 5, 6 and 3 units respectively is open at top.The cost of anti-microbial coating inside the tank at the rate of ₹10 per sq. units is :___
Answer» A tank with length,breadth and height of 5, 6 and 3 units respectively is open at top.The cost of anti-microbial coating inside the tank at the rate of ₹10 per sq. units is :___

Discussion

3565.	Question 103Solve the following question:Find the square root of the following by long division method.a) 1369b) 5625
Answer» Question 103 Solve the following question: Find the square root of the following by long division method. a) 1369 b) 5625

3565.

Question 103Solve the following question:Find the square root of the following by long division method.a) 1369b) 5625

Answer»

Question 103

Solve the following question:

Find the square root of the following by long division method.

a) 1369

b) 5625

Discussion

3566.	The sum of the interior angles of pentagon is
Answer» The sum of the interior angles of pentagon is

Discussion

3567.	Question 63What conclusion can be drawn from each part, of the figure?a) DB is the bisector of ∠ ADC.b) BD bisects ∠ ABC.c) DC is the bisector of ∠ ADB,CA⊥DA and CB⊥DB.
Answer» Question 63 What conclusion can be drawn from each part, of the figure? a) DB is the bisector of $∠ A D C$ . b) BD bisects $∠ A B C$ . c) DC is the bisector of $∠ A D B, C A ⊥ D A a n d C B ⊥ D B$ .

3567.

Question 63What conclusion can be drawn from each part, of the figure?a) DB is the bisector of ∠ ADC.b) BD bisects ∠ ABC.c) DC is the bisector of ∠ ADB,CA⊥DA and CB⊥DB.

Answer»

Question 63

What conclusion can be drawn from each part, of the figure?

a) DB is the bisector of $∠ A D C$ .

b) BD bisects $∠ A B C$ .

c) DC is the bisector of $∠ A D B, C A ⊥ D A a n d C B ⊥ D B$ .

Discussion

3568.	What is the constant of proportionality for the following distribution?
Answer» What is the constant of proportionality for the following distribution?

Discussion

3569.	A line which divides a figure into two identical parts is known as ________ of symmetry.
Answer» A line which divides a figure into two identical parts is known as ________ of symmetry.

Discussion

3570.	Simplify: (a+b)(a3−b3)(a2−b2)
Answer» Simplify: $\frac{(a + b) (a^{3} - b^{3})}{(a^{2} - b^{2})}$

Discussion

3571.	The distance between two milestones is 230 km and two cars start simultaneously from the milestones in opposite directions. The distance between them after three hours is 20 km. If the speed of one car is less than that of other by 10 km/hr, then find the speed of each car.
Answer» The distance between two milestones is 230 km and two cars start simultaneously from the milestones in opposite directions. The distance between them after three hours is 20 km. If the speed of one car is less than that of other by 10 km/hr, then find the speed of each car.

Discussion

3572.	Which formula is used to calculate the full height of a person?
Answer» Which formula is used to calculate the full height of a person?

Discussion

3573.	If $1 can buy 14 gallons of milk, the amount of milk that can be bought for $3 is gallons
Answer» $If $1 can buy \frac{1}{4} gallons of milk, the amount of milk that can be bought for $3 is$ $gallons$

Discussion

3574.	Distance between the Statue of Liberty and the Eiffel tower is 'd' miles on Monday. The distance between them on Friday would be
Answer» Distance between the Statue of Liberty and the Eiffel tower is 'd' miles on Monday. The distance between them on Friday would be

Discussion

3575.	Question 83 (iii)Multiply the following :15xy2,17yz2
Answer» Question 83 (iii) Multiply the following : $15 x y^{2}, 17 y z^{2}$

3575.

Question 83 (iii)Multiply the following :15xy2,17yz2

Answer»

Question 83 (iii)

Multiply the following :

$15 x y^{2}, 17 y z^{2}$

Discussion

3576.	Solve the following equation : 1x−1−1x=1x+3−1x+4
Answer» Solve the following equation : $\frac{1}{x - 1} - \frac{1}{x} = \frac{1}{x + 3} - \frac{1}{x + 4}$

3576.

Solve the following equation : 1x−1−1x=1x+3−1x+4

Answer»

Solve the following equation :

$\frac{1}{x - 1} - \frac{1}{x} = \frac{1}{x + 3} - \frac{1}{x + 4}$

Discussion

3577.	If two cardboard boxes occupy 500 cubic centimetres space, then how much space is required to keep 200 such boxes?
Answer» If two cardboard boxes occupy 500 cubic centimetres space, then how much space is required to keep 200 such boxes?

Discussion

3578.	While using the pattern used to square numbers with unit digit 5 for 125, we get: (___ x 13) hundreds + 25. Fill in the blank with the correct value.
Answer» While using the pattern used to square numbers with unit digit 5 for 125, we get: (___ x 13) hundreds + 25. Fill in the blank with the correct value.

Discussion

3579.	183 can be written as
Answer» $18^{3}$ can be written as

Discussion

3580.	The edge of a cubical room is 3 m. The inner walls are to be painted (inclusive of windows and doors). Find the expenditure to be incurred at the rate of Rs 15/- per square metre.
Answer» The edge of a cubical room is 3 m. The inner walls are to be painted (inclusive of windows and doors). Find the expenditure to be incurred at the rate of Rs 15/- per square metre.

Discussion

3581.	Find A and B. [3 MARKS] 2 A B+ A B 1 B 1 8
Answer» Find A and B. [3 MARKS] $\begin{matrix} 2 A B + A B 1 B 18 \end{matrix}$

Discussion

3582.	Question 125(ii) Find the multiplicative inverse of 313
Answer» Question 125(ii) Find the multiplicative inverse of $3 \frac{1}{3}$

Discussion

3583.	Which point is interior to ∠ABC?
Answer» Which point is interior to $∠$ $A B C$ ?

Discussion

3584.	If a + b + c = 0, then (a3 + b3 + c3) is equal to-
Answer» If a + b + c = 0, then ( $a^{3}$ + $b^{3}$ + $c^{3}$ ) is equal to-

Discussion

3585.	Question 86 (xix) Using suitable identities, evaluate the following: (132)2−(68)2
Answer» Question 86 (xix) Using suitable identities, evaluate the following: $(132)^{2} - (68)^{2}$

3585.

Question 86 (xix) Using suitable identities, evaluate the following: (132)2−(68)2

Answer»

Question 86 (xix)

Using suitable identities, evaluate the following:

$(132)^{2} - (68)^{2}$

Discussion

3586.	find the diagonal of a rhombus of side 6cm whose one of the diagonal is 8cm long altitude is 4.2cm
Answer» find the diagonal of a rhombus of side 6cm whose one of the diagonal is 8cm long altitude is 4.2cm

Discussion

3587.	Question 11Consider the following distributionMarks obtainedNumber of studentsMore than or equal to 063More than or equal to 1058More than or equal to 2055More than or equal to 3051More than or equal to 4048More than or equal to 5042the frequency of the class 30-40 is(a) 3(b) 4(c) 48(d) 51
Answer» Question 11 Consider the following distribution $\begin{matrix} M a r k s o b t a i n e d & N u m b e r o f s t u d e n t s M o r e t h a n o r e q u a l t o 0 & 63 M o r e t h a n o r e q u a l t o 10 & 58 M o r e t h a n o r e q u a l t o 20 & 55 M o r e t h a n o r e q u a l t o 30 & 51 M o r e t h a n o r e q u a l t o 40 & 48 M o r e t h a n o r e q u a l t o 50 & 42 \end{matrix}$ the frequency of the class 30-40 is (a) 3 (b) 4 (c) 48 (d) 51

Discussion

3588.	Every set is ________.
Answer» Every set is ________.

Discussion

3589.	If py = y2 - 32y + 1 then find p 32.
Answer» If $p (y) = y^{2} - 3 \sqrt{2} y + 1$ then find $p (3 \sqrt{2})$ .

Discussion

3590.	What are minimum number of zeros in diagonal matrix of order n??
Answer» What are minimum number of zeros in diagonal matrix of order n??

Discussion

3591.	Question 136PQRS is a rectangle. The perpendicular ST from S on PR divides ∠S in the ratio 2 :3. Find ∠TPQ.
Answer» Question 136 PQRS is a rectangle. The perpendicular ST from S on PR divides $∠ S$ in the ratio 2 :3. Find $∠ T P Q$ .

Discussion

3592.	Question 68Solve the following:3t+54−1=4t−35
Answer» Question 68 Solve the following: $\frac{3 t + 5}{4} - 1 = \frac{4 t - 3}{5}$

3592.

Question 68Solve the following:3t+54−1=4t−35

Answer»

Question 68

Solve the following:

$\frac{3 t + 5}{4} - 1 = \frac{4 t - 3}{5}$

Discussion

3593.	The perimeter of a cube is 60 cm. Its volume will be _________.
Answer» The perimeter of a cube is 60 cm. Its volume will be _________.

Discussion

3594.	The value of a flat worth ₹5,00,000 is depreciating at the rate of 10% per annum. In how many years will its value be reduced to ₹3,64,500?
Answer» The value of a flat worth ₹5,00,000 is depreciating at the rate of $10 %$ per annum. In how many years will its value be reduced to ₹3,64,500?

Discussion

3595.	The range of (10^x-10^4)/(10^x+10^2) whole root is [0, ∞) [0, 1) (–1, 1] [1, ∞)
Answer» The range of (10^x-10^4)/(10^x+10^2) whole root is [0, ∞) [0, 1) (–1, 1] [1, ∞)

Discussion

3596.	Sophia was counting the number of crystals in 5kg of sugar. Can you help her to find the number of crystals in 5kg without actual counting, if 12kg of sugar contains 24 x 104 crystals?
Answer» Sophia was counting the number of crystals in 5kg of sugar. Can you help her to find the number of crystals in 5kg without actual counting, if 12kg of sugar contains 24 x $10^{4}$ crystals?

Discussion

3597.	What must be added to 216 + 9 to equal 216×9?
Answer» What must be added to 216 + 9 to equal $216 \times 9 ?$

Discussion

3598.	Integrate: dx/a square+x square
Answer» Integrate: dx/a square+x square

Discussion

3599.

If the arithmetic mean of the data given below is 28, find (a) the missing frequency, and (b) the median of the series:Profit per retail shop (in Rs)0 – 1010 – 2020 – 3030 – 4040 – 5050 – 60Number of retail shops121827–176

Answer»

If the arithmetic mean of the data given below is 28, find (a) the missing frequency, and (b) the median of the series:

Profit per retail shop (in Rs)	0 – 10	10 – 20	20 – 30	30 – 40	40 – 50	50 – 60
Number of retail shops	12	18	27	–	17	6

Discussion

3600.	82.If (x-1),(x+2)and (x-2)are factors of x3+ax2+bx+c,then the value of a+b+c is
Answer» 82.If (x-1),(x+2)and (x-2)are factors of x3+ax2+bx+c,then the value of a+b+c is

Discussion

Explore topic-wise InterviewSolutions in .

A contractor undertakes to build a wall 1000 m long in 50 days. He employs 56 men, but at the end of 27 days, he finds that only 448 m of wall is built. How many extra men must the contractor employ so that the wall is completed in time?

The coordinates of a point are (x, y). If the point lies in the 2nd quadrant, then?

A shopkeeper announces a discount of 10% on a TV set. The marked price of the TV is Rs 22,000. How much will a customer have to pay for buying the TV set if the rate of sales tax is 8%. [3 MARKS]

construct a traingle ABC such that BC =6cm AB=6cm and median AD=4cm

In the following dataset, mode with outlier is , and mode without outlier is . 10156341515

Why we take the value of pi as 22/7. Don't say it is mathematically calculated.

Solve for the value of t.3t+116−3t−37=t−48+3t+114

What amount Rajiv will receive if he invests ₹ 10,000 at a rate of 10% per annum simple interest on April 18, 2020, if he invests the money on September 12, 2017

Just by looking at the numbers, identify which of the following can not be a perfect square.

Question 66 In a factory, women are 35% of all the workers, the rest of the workers being men. The number of men exceeds that of women by 252. Find the total number of workers in the factory.

Solve for Y.3√6,125×(Y)=35

What is the height of the cuboid if it's volume is 504 cm3, length is 9 cm and breadth is 8 cm ?

Question 74Find the values of x and y if a and b are in inverse proportion

A tank with length,breadth and height of 5, 6 and 3 units respectively is open at top.The cost of anti-microbial coating inside the tank at the rate of ₹10 per sq. units is :___

Question 103Solve the following question:Find the square root of the following by long division method.a) 1369b) 5625

The sum of the interior angles of pentagon is

Question 63What conclusion can be drawn from each part, of the figure?a) DB is the bisector of ∠ ADC.b) BD bisects ∠ ABC.c) DC is the bisector of ∠ ADB,CA⊥DA and CB⊥DB.

What is the constant of proportionality for the following distribution?

A line which divides a figure into two identical parts is known as ________ of symmetry.

Simplify: (a+b)(a3−b3)(a2−b2)

The distance between two milestones is 230 km and two cars start simultaneously from the milestones in opposite directions. The distance between them after three hours is 20 km. If the speed of one car is less than that of other by 10 km/hr, then find the speed of each car.

Which formula is used to calculate the full height of a person?

If $1 can buy 14 gallons of milk, the amount of milk that can be bought for $3 is gallons

Distance between the Statue of Liberty and the Eiffel tower is 'd' miles on Monday. The distance between them on Friday would be

Question 83 (iii)Multiply the following :15xy2,17yz2

Solve the following equation : 1x−1−1x=1x+3−1x+4

If two cardboard boxes occupy 500 cubic centimetres space, then how much space is required to keep 200 such boxes?

While using the pattern used to square numbers with unit digit 5 for 125, we get: (___ x 13) hundreds + 25. Fill in the blank with the correct value.

183 can be written as

The edge of a cubical room is 3 m. The inner walls are to be painted (inclusive of windows and doors). Find the expenditure to be incurred at the rate of Rs 15/- per square metre.

Find A and B. [3 MARKS] 2 A B+ A B 1 B 1 8

Question 125(ii) Find the multiplicative inverse of 313

Which point is interior to ∠ABC?

If a + b + c = 0, then (a3 + b3 + c3) is equal to-

Question 86 (xix) Using suitable identities, evaluate the following: (132)2−(68)2

find the diagonal of a rhombus of side 6cm whose one of the diagonal is 8cm long altitude is 4.2cm

Question 11Consider the following distributionMarks obtainedNumber of studentsMore than or equal to 063More than or equal to 1058More than or equal to 2055More than or equal to 3051More than or equal to 4048More than or equal to 5042the frequency of the class 30-40 is(a) 3(b) 4(c) 48(d) 51

Every set is ________.

If py = y2 - 32y + 1 then find p 32.

What are minimum number of zeros in diagonal matrix of order n??

Question 136PQRS is a rectangle. The perpendicular ST from S on PR divides ∠S in the ratio 2 :3. Find ∠TPQ.

Question 68Solve the following:3t+54−1=4t−35

The perimeter of a cube is 60 cm. Its volume will be _________.

The value of a flat worth ₹5,00,000 is depreciating at the rate of 10% per annum. In how many years will its value be reduced to ₹3,64,500?

The range of (10^x-10^4)/(10^x+10^2) whole root is [0, ∞) [0, 1) (–1, 1] [1, ∞)

Sophia was counting the number of crystals in 5kg of sugar. Can you help her to find the number of crystals in 5kg without actual counting, if 12kg of sugar contains 24 x 104 crystals?

What must be added to 216 + 9 to equal 216×9?

Integrate: dx/a square+x square

If the arithmetic mean of the data given below is 28, find (a) the missing frequency, and (b) the median of the series:Profit per retail shop (in Rs)0 – 1010 – 2020 – 3030 – 4040 – 5050 – 60Number of retail shops121827–176

82.If (x-1),(x+2)and (x-2)are factors of x3+ax2+bx+c,then the value of a+b+c is