19743 + Interview Questions in Mathematics Page 161 InterviewSolution

8001.	Ravish has three boxes whose total weight is 6012kg. Box B weighs 312kg more than box A and box C weighs 513 more than box B. Find the weight of box A.
Answer» Ravish has three boxes whose total weight is $60 \frac{1}{2} k g .$ Box B weighs $3 \frac{1}{2} k g$ more than box A and box C weighs $5 \frac{1}{3}$ more than box B. Find the weight of box A.

Discussion

8002.	Question 16 If x2=3, then the value of 3x + 2 is (a) 20 (b) 11 (c) 132 (d) 8
Answer» Question 16 If $\frac{x}{2} = 3,$ then the value of 3x + 2 is (a) 20 (b) 11 (c) $\frac{13}{2}$ (d) 8

8002.

Question 16 If x2=3, then the value of 3x + 2 is (a) 20 (b) 11 (c) 132 (d) 8

Answer»

Question 16

If $\frac{x}{2} = 3,$ then the value of 3x + 2 is

(a) 20
(b) 11
(c) $\frac{13}{2}$
(d) 8

Discussion

8003.	Find each of the following products:(i) 5x2×4x3(ii) −3a2×4b4
Answer» Find each of the following products: (i) $5 x^{2} \times 4 x^{3}$ (ii) $- 3 a^{2} \times 4 b^{4}$

Discussion

8004.	A table-top measures 2 m 25 cm by 1 m 50 cm. What is the perimeter of the table-top?
Answer» A table-top measures 2 m 25 cm by 1 m 50 cm. What is the perimeter of the table-top?

Discussion

8005.	Mark the correct alternative in each of the following:If a fraction ab is a lowest terms, then HCF of a and b is(a) a (b) b (c) 1 (d) ab
Answer» Mark the correct alternative in each of the following: If a fraction $\frac{a}{b}$ is a lowest terms, then HCF of a and b is (a) a (b) b (c) 1 (d) ab

Discussion

8006.	Question 119 (x) Write two integers, such that one is smaller than -11 and other is greater than -11 but their difference is -11.
Answer» Question 119 (x) Write two integers, such that one is smaller than -11 and other is greater than -11 but their difference is -11.

8006.

Question 119 (x) Write two integers, such that one is smaller than -11 and other is greater than -11 but their difference is -11.

Answer»

Question 119 (x)

Write two integers, such that one is smaller than -11 and other is greater than -11 but their difference is -11.

Discussion

8007.	Solve the following.The ratio of adults to the youths travelling in a bus is 4 : 7. There are 20 adults. What is the total number of persons travelling in the bus?
Answer» Solve the following. The ratio of adults to the youths travelling in a bus is 4 : 7. There are 20 adults. What is the total number of persons travelling in the bus?

8007.

Solve the following.The ratio of adults to the youths travelling in a bus is 4 : 7. There are 20 adults. What is the total number of persons travelling in the bus?

Answer»

Solve the following.

The ratio of adults to the youths travelling in a bus is 4 : 7. There are 20 adults. What is the total number of persons travelling in the bus?

Discussion

8008.	What number must be subtracted from14 to get 12?
Answer» What number must be subtracted from $\frac{1}{4} t o g e t \frac{1}{2} ?$

Discussion

8009.	The largest 2-digit prime number is ______.
Answer» The largest 2-digit prime number is ______.

Discussion

8010.	Find the smallest number by which 10368 be divided so that the result is a perfect square. Also, find the square root of the resulting numbers.
Answer» Find the smallest number by which 10368 be divided so that the result is a perfect square. Also, find the square root of the resulting numbers.

Discussion

8011.	Question 3(b)Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.n + 12 = 20 (12, 8, 20, 0)
Answer» Question 3(b) Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation. n + 12 = 20 (12, 8, 20, 0)

8011.

Question 3(b)Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.n + 12 = 20 (12, 8, 20, 0)

Answer»

Question 3(b)

Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.

n + 12 = 20 (12, 8, 20, 0)

Discussion

8012.	Give the additive inverse of the reciprocal of: [2 MARKS] (i) −25 (ii) −1716
Answer» Give the additive inverse of the reciprocal of: [2 MARKS] (i) $- \frac{2}{5}$ (ii) $- \frac{17}{16}$

Discussion

8013.	A number which is divisible by only 1 and the number itself is called ________.
Answer» A number which is divisible by only 1 and the number itself is called ________.

Discussion

8014.	If 1-x+x2n=a0+a1 x+a2 x2+...+a2n x2n, find the value of a0+a2+a4+...+a2n.
Answer» If ${(1 - x + x^{2})}^{n} = a_{0} + a_{1} x + a_{2} x^{2} + . . . + a_{2 n} x^{2 n}$ , find the value of $a_{0} + a_{2} + a_{4} + . . . + a_{2 n}$ .

Discussion

8015.	convert 25 degree Celsius to degree farhneit and 86 degree farhneit to celsius
Answer» convert 25 degree Celsius to degree farhneit and 86 degree farhneit to celsius

Discussion

8016.	5. A die has 2 faces with number 1,1 face with number 3,3 faces with number 2.if the die is rolled once find:i) P(2) ii) P(1 or3)iii)P(not3)
Answer» 5. A die has 2 faces with number 1,1 face with number 3,3 faces with number 2.if the die is rolled once find:i) P(2) ii) P(1 or3)iii)P(not3)

Discussion

8017.	Express 3313% as a ratio in the lowest form.
Answer» Express $33 \frac{1}{3} %$ as a ratio in the lowest form.

Discussion

8018.	The data for ages (in years) of 12 employees are given as -:27,28,27,26,25,27,28,26,28,28,27,26.Choose the correct Frequency table representing the number of employees and their ages.
Answer» The data for ages (in years) of $12$ employees are given as -: $27, 28, 27, 26, 25, 27, 28, 26, 28, 28, 27, 26$ . Choose the correct Frequency table representing the number of employees and their ages.

Discussion

8019.	Select the odd one from the following.
Answer» Select the odd one from the following.

Discussion

8020.

Journalise the following transactions in the Journal of M/s. Gupta Brothers (Prop. Shri R. K. Gupta), Delhi and post them to the Ledger: 2019 ₹ March 1 Started business with cash 2,00,000 March 2 Opened bank account with SBI 80,000 March 4 Goods purchased from Raj, Jaipur (Rajasthan) 22,000 March 5 Goods purchased for cash 30,000 March 8 Goods sold to Naman, Delhi 12,000 March 10 Cash paid to Raj 22,000 March 15 Cash received from Naman 11,700 Discount allowed 300 March 16 Paid wages 200 March 18 Furniture purchased for office use 5,000 March 20 Withdrawn from bank for personal use 4,000 March 22 Issued cheque for rent 3,000 March 23 Goods taken for household purpose. These goods were purchased from Raj 2,000 March 24 Drawn cash from bank for office use 6,000 March 26 Commission received 1,000 March 27 Bank charges 300 March 28 Cheque issued for life insurance premium of Proprietor 3,000 March 29 Paid salary 10,000 March 30 Cash sales 20,000

Answer» Journalise the following transactions in the Journal of M/s. Gupta Brothers (Prop. Shri R. K. Gupta), Delhi and post them to the Ledger:

2019		₹
March 1	Started business with cash	2,00,000
March 2	Opened bank account with SBI	80,000
March 4	Goods purchased from Raj, Jaipur (Rajasthan)	22,000
March 5	Goods purchased for cash	30,000
March 8	Goods sold to Naman, Delhi	12,000
March 10	Cash paid to Raj	22,000
March 15	Cash received from Naman	11,700
	Discount allowed	300
March 16	Paid wages	200
March 18	Furniture purchased for office use	5,000
March 20	Withdrawn from bank for personal use	4,000
March 22	Issued cheque for rent	3,000
March 23	Goods taken for household purpose. These goods were purchased from Raj	2,000
March 24	Drawn cash from bank for office use	6,000
March 26	Commission received	1,000
March 27	Bank charges	300
March 28	Cheque issued for life insurance premium of Proprietor	3,000
March 29	Paid salary	10,000
March 30	Cash sales	20,000

Discussion

8021.	The number of radii in a circle with equal length are ____.
Answer» The number of radii in a circle with equal length are ____.

Discussion

8022.	The angle shown on the protractor in the given figure is .
Answer» The angle shown on the protractor in the given figure is .

8022.

The angle shown on the protractor in the given figure is .

Answer»

The angle shown on the protractor in the given figure is .

Discussion

8023.	Question 97 Thrice a number decreased by 5 exceeds twice the number by 1. Find the number.
Answer» Question 97 Thrice a number decreased by 5 exceeds twice the number by 1. Find the number.

8023.

Question 97 Thrice a number decreased by 5 exceeds twice the number by 1. Find the number.

Answer»

Question 97

Thrice a number decreased by 5 exceeds twice the number by 1. Find the number.

Discussion

8024.	The maximum and minimum values of the function y= x^3 - 3x^2 +6 are?
Answer» The maximum and minimum values of the function y= x^3 - 3x^2 +6 are?

Discussion

8025.	Name a few types of graphs.
Answer» Name a few types of graphs.

Discussion

8026.	What is the purpose of range() function? Give one example.
Answer» What is the purpose of range() function? Give one example.

Discussion

8027.	If 6, 8 and c form a Pythagorean triplet, then find the value of c?
Answer» If 6, 8 and c form a Pythagorean triplet, then find the value of c?

Discussion

8028.	{ 93. A variable line }L is drawn through }O(0,0) to meet lines }}{L_1:2x+3y=5 and }L_2:2x+3y=10 at point }P and }Q,}{ respectively. A point }R is taken on }L such that }2OP\cdot OQ}{=OR\cdot OP+OR\cdot OQ. Locus of }R is
Answer» { 93. A variable line }L is drawn through }O(0,0) to meet lines }}{L_1:2x+3y=5 and }L_2:2x+3y=10 at point }P and }Q,}{ respectively. A point }R is taken on }L such that }2OP\cdot OQ}{=OR\cdot OP+OR\cdot OQ. Locus of }R is

Discussion

8029.	% of 200 is 50.
Answer» % of $200$ is $50$ .

Discussion

8030.	The length and breadth of a rectangular park are in the ratio 5:3 and its perimeter is 128 m. Find the area of the park.
Answer» The length and breadth of a rectangular park are in the ratio $5 : 3$ and its perimeter is $128 m$ . Find the area of the park.

Discussion

8031.	A water tank has a storage capacity of 10 liters. Calculate the number of cups in 10 liters.
Answer» $A water tank has a storage capacity of$ $10 liters.$ $Calculate the number of cups in 10 liters.$

Discussion

8032.	In fig, AD is the median and DE \|\| AB. Prove that BE is a median of ΔABC.
Answer» In fig, AD is the median and DE \|\| AB. Prove that BE is a median of ΔABC.

Discussion

8033.	On the way, Jack was thinking that he can’t go to 2015 because it is future to him now. If he tries to go to future, he will end up in past again. But what went wrong? Though Jack is a great Mathematician, he can’t remember about each and every part of the machine. So, he took out the data sheet to know which part was the most important. There was a chart which gave the priority of different devices. Which device is the most important? DeviceMore numbers stars = High priorityTime direction Module★★★★★Batteries★★★AYC(Analog Year counter)★Toolbox★★
Answer» On the way, Jack was thinking that he can’t go to 2015 because it is future to him now. If he tries to go to future, he will end up in past again. But what went wrong? Though Jack is a great Mathematician, he can’t remember about each and every part of the machine. So, he took out the data sheet to know which part was the most important. There was a chart which gave the priority of different devices. Which device is the most important? $\begin{matrix} Device & More numbers stars = High priority Time direction Module & ★ ★ ★ ★ ★ Batteries & ★ ★ ★ AYC(Analog Year counter) & ★ Toolbox & ★ ★ \end{matrix}$

8033.

On the way, Jack was thinking that he can’t go to 2015 because it is future to him now. If he tries to go to future, he will end up in past again. But what went wrong? Though Jack is a great Mathematician, he can’t remember about each and every part of the machine. So, he took out the data sheet to know which part was the most important. There was a chart which gave the priority of different devices. Which device is the most important? DeviceMore numbers stars = High priorityTime direction Module★★★★★Batteries★★★AYC(Analog Year counter)★Toolbox★★

Answer»

On the way, Jack was thinking that he can’t go to 2015 because it is future to him now. If he tries to go to future, he will end up in past again. But what went wrong?

Though Jack is a great Mathematician, he can’t remember about each and every part of the machine. So, he took out the data sheet to know which part was the most important. There was a chart which gave the priority of different devices. Which device is the most important?

$\begin{matrix} Device & More numbers stars = High priority Time direction Module & ★ ★ ★ ★ ★ Batteries & ★ ★ ★ AYC(Analog Year counter) & ★ Toolbox & ★ ★ \end{matrix}$

Discussion

8034.	In an isosceles triangle ABC,with AB=AC ,the bisectors of angle B and angleC intersect each other at O Sshow that : (a) OB=OC (b) AO bisects angle A
Answer» In an isosceles triangle ABC,with AB=AC ,the bisectors of angle B and angleC intersect each other at O Sshow that : (a) OB=OC (b) AO bisects angle A

Discussion

8035.	On 17th April, 2016, X sold goods to Y for ₹ 80,000 and draws a bill for 2 months upon Y for the amount due. Y accepted the bill and returned it to X. On due date the bill became dishonoured and X paid ₹ 400 as Noting Charges. Fifteen days later Y pays the amount due to X. Pass Journal entries in the books of both the parties.
Answer» On 17th April, 2016, X sold goods to Y for ₹ 80,000 and draws a bill for 2 months upon Y for the amount due. Y accepted the bill and returned it to X. On due date the bill became dishonoured and X paid ₹ 400 as Noting Charges. Fifteen days later Y pays the amount due to X. Pass Journal entries in the books of both the parties.

Discussion

8036.	Find the value of expression (a−b)(a2+ab) when a = 3 and b = 2?
Answer» Find the value of expression $(a - b) (a^{2} + a b)$ when a = 3 and b = 2?

Discussion

8037.	What is the ratio of the area of parallelogram ABCD to the sum of areas of ΔABE and ΔABF?
Answer» What is the ratio of the area of parallelogram ABCD to the sum of areas of $Δ A B E$ and $Δ A B F ?$

8037.

What is the ratio of the area of parallelogram ABCD to the sum of areas of ΔABE and ΔABF?

Answer»

What is the ratio of the area of parallelogram ABCD to the sum of areas of $Δ A B E$ and $Δ A B F ?$

Discussion

8038.	Using alternate interior angles theorem, find ∠a for the triangle in the image to be an equilateral triangle.Given that the horizontal lines are parallel.
Answer» Using alternate interior angles theorem, find $∠ a$ for the triangle in the image to be an equilateral triangle. Given that the horizontal lines are parallel.

Discussion

8039.	If a, b and c are three sums of money such that b is the simple interest on a and c is the simple interest on b for the same time and same rate. Which of the following is correct?(a) abc = 1(b) c2 = ab(c) b2 = ac(d) a2 = bc
Answer» If a, b and c are three sums of money such that b is the simple interest on a and c is the simple interest on b for the same time and same rate. Which of the following is correct? (a) abc = 1 (b) c² = ab (c) b² = ac (d) a² = bc

Discussion

8040.	If R be circum radius of ΔABC, then circum radius of it's pedal triangle is:
Answer» If $R$ be circum radius of $Δ A B C,$ then circum radius of it's pedal triangle is:

Discussion

8041.	Make a line graph for the area of a square as per the given table.Side(in cm)1234Area(in cm2)14916
Answer» Make a line graph for the area of a square as per the given table. $\begin{matrix} S i d e (i n c m) & 1 & 2 & 3 & 4 A r e a (i n c m^{2}) & 1 & 4 & 9 & 16 \end{matrix}$

Discussion

8042.	1. Show that one and only one out of n, n+2, n+4, is divisible by 3,where n is any positive integer?
Answer» 1. Show that one and only one out of n, n+2, n+4, is divisible by 3,where n is any positive integer?

Discussion

8043.	If green colour represents the portion of the cake eaten, what fraction of the cake is left uneaten?
Answer» If green colour represents the portion of the cake eaten, what fraction of the cake is left uneaten?

Discussion

8044.	The perimeter of a rectangle is 34 cm. If its length is 7 cm, then its breadth is
Answer» The perimeter of a rectangle is 34 cm. If its length is 7 cm, then its breadth is

Discussion

8045.	In the figure given below, the area of the triangle ABC is 16cm2. What will be the area of the triangle ABD?
Answer» In the figure given below, the area of the triangle ABC is $16 c m^{2}$ . What will be the area of the triangle ABD?

Discussion

8046.	Factorise:4y2−12y+9
Answer» $F a c t o r i s e : 4 y^{2} - 12 y + 9$

Discussion

8047.	Give the order of rotational symmetry for each figure:
Answer» Give the order of rotational symmetry for each figure:

Discussion

8048.	The price of one share in a stock market falls by $3 each day for 9 days. How much value does one share of the stock lose after 9 days?
Answer» The price of one share in a stock market falls by $$ 3$ each day for $9$ days. How much value does one share of the stock lose after $9$ days?

Discussion

8049.	There are 30 bottles of cold drink and in that 15 bottles are green in colour. Then of the total number of bottles are green in colour.
Answer» There are 30 bottles of cold drink and in that 15 bottles are green in colour. Then of the total number of bottles are green in colour.

Discussion

8050.	Find the value of y if1 + 4 + 7 + 10 ++y. = 287
Answer» Find the value of y if1 + 4 + 7 + 10 ++y. = 287

Discussion

Explore topic-wise InterviewSolutions in .

Ravish has three boxes whose total weight is 6012kg. Box B weighs 312kg more than box A and box C weighs 513 more than box B. Find the weight of box A.

Question 16 If x2=3, then the value of 3x + 2 is (a) 20 (b) 11 (c) 132 (d) 8

Find each of the following products:(i) 5x2×4x3(ii) −3a2×4b4

A table-top measures 2 m 25 cm by 1 m 50 cm. What is the perimeter of the table-top?

Mark the correct alternative in each of the following:If a fraction ab is a lowest terms, then HCF of a and b is(a) a (b) b (c) 1 (d) ab

Question 119 (x) Write two integers, such that one is smaller than -11 and other is greater than -11 but their difference is -11.

Solve the following.The ratio of adults to the youths travelling in a bus is 4 : 7. There are 20 adults. What is the total number of persons travelling in the bus?

What number must be subtracted from14 to get 12?

The largest 2-digit prime number is ______.

Find the smallest number by which 10368 be divided so that the result is a perfect square. Also, find the square root of the resulting numbers.

Question 3(b)Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.n + 12 = 20 (12, 8, 20, 0)

Give the additive inverse of the reciprocal of: [2 MARKS] (i) −25 (ii) −1716

A number which is divisible by only 1 and the number itself is called ________.

If 1-x+x2n=a0+a1 x+a2 x2+...+a2n x2n, find the value of a0+a2+a4+...+a2n.

convert 25 degree Celsius to degree farhneit and 86 degree farhneit to celsius

5. A die has 2 faces with number 1,1 face with number 3,3 faces with number 2.if the die is rolled once find:i) P(2) ii) P(1 or3)iii)P(not3)

Express 3313% as a ratio in the lowest form.

The data for ages (in years) of 12 employees are given as -:27,28,27,26,25,27,28,26,28,28,27,26.Choose the correct Frequency table representing the number of employees and their ages.

Select the odd one from the following.

The number of radii in a circle with equal length are ____.

The angle shown on the protractor in the given figure is .

Question 97 Thrice a number decreased by 5 exceeds twice the number by 1. Find the number.

The maximum and minimum values of the function y= x^3 - 3x^2 +6 are?

Name a few types of graphs.

What is the purpose of range() function? Give one example.

If 6, 8 and c form a Pythagorean triplet, then find the value of c?

{ 93. A variable line }L is drawn through }O(0,0) to meet lines }}{L_1:2x+3y=5 and }L_2:2x+3y=10 at point }P and }Q,}{ respectively. A point }R is taken on }L such that }2OP\cdot OQ}{=OR\cdot OP+OR\cdot OQ. Locus of }R is

% of 200 is 50.

The length and breadth of a rectangular park are in the ratio 5:3 and its perimeter is 128 m. Find the area of the park.

A water tank has a storage capacity of 10 liters. Calculate the number of cups in 10 liters.

In fig, AD is the median and DE || AB. Prove that BE is a median of ΔABC.

In an isosceles triangle ABC,with AB=AC ,the bisectors of angle B and angleC intersect each other at O Sshow that : (a) OB=OC (b) AO bisects angle A

Find the value of expression (a−b)(a2+ab) when a = 3 and b = 2?

What is the ratio of the area of parallelogram ABCD to the sum of areas of ΔABE and ΔABF?

Using alternate interior angles theorem, find ∠a for the triangle in the image to be an equilateral triangle.Given that the horizontal lines are parallel.

If a, b and c are three sums of money such that b is the simple interest on a and c is the simple interest on b for the same time and same rate. Which of the following is correct?(a) abc = 1(b) c2 = ab(c) b2 = ac(d) a2 = bc

If R be circum radius of ΔABC, then circum radius of it's pedal triangle is:

Make a line graph for the area of a square as per the given table.Side(in cm)1234Area(in cm2)14916

1. Show that one and only one out of n, n+2, n+4, is divisible by 3,where n is any positive integer?

If green colour represents the portion of the cake eaten, what fraction of the cake is left uneaten?

The perimeter of a rectangle is 34 cm. If its length is 7 cm, then its breadth is

In the figure given below, the area of the triangle ABC is 16cm2. What will be the area of the triangle ABD?

Factorise:4y2−12y+9

Give the order of rotational symmetry for each figure:

The price of one share in a stock market falls by $3 each day for 9 days. How much value does one share of the stock lose after 9 days?

There are 30 bottles of cold drink and in that 15 bottles are green in colour. Then of the total number of bottles are green in colour.

Find the value of y if1 + 4 + 7 + 10 ++y. = 287