25365 + Interview Questions in Mathematics Page 171 InterviewSolution

8501.	What would be the ratio of the volumes of a cone and a cylinder?
Answer» What would be the ratio of the volumes of a cone and a cylinder?

Discussion

8502.	−2+4−3= ___
Answer» $- 2 + 4 - 3 =$ ___

Discussion

8503.

Prepare a Two Column Cash Book :− 2013 (₹) Jan. 1. Cash in hand 5,000 Bank Overdraft 1,000 2. Paid Wages 1,500 3. Deposited into Bank 2,000 4. Cash sales 7,500 5. Sold goods for cheque whcih was deposited in bank on the same day 5,000 6. Purchased goods from Hari on credit 4,000 7. Drew from Bank for personal use 1,000 8. Paid to Hari in full settlement 3,500 9. Received from Ram,who owes ₹5,000, ₹2,000 only on account.

Answer» Prepare a Two Column Cash Book :−

2013		(₹)
Jan. 1.	Cash in hand	5,000
	Bank Overdraft	1,000
2.	Paid Wages	1,500
3.	Deposited into Bank	2,000
4.	Cash sales	7,500
5.	Sold goods for cheque whcih was deposited in bank on the same day	5,000
6.	Purchased goods from Hari on credit	4,000
7.	Drew from Bank for personal use	1,000
8.	Paid to Hari in full settlement	3,500
9.	Received from Ram,who owes ₹5,000, ₹2,000 only on account.

Discussion

8504.	Construct Δ XYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.
Answer» Construct $Δ$ XYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.

Discussion

8505.	Using a2 − b2 = (a + b) (a − b), find(i) 512 − 492 (ii) (1.02)2 − (0.98)2 (iii) 1532 − 1472(iv) 12.12 − 7.92
Answer» Using a²− b² = (a + b) (a − b), find (i) 51² − 49² (ii) (1.02)² − (0.98)² (iii) 153² − 147² (iv) 12.1² − 7.9²

8505.

Using a2 − b2 = (a + b) (a − b), find(i) 512 − 492 (ii) (1.02)2 − (0.98)2 (iii) 1532 − 1472(iv) 12.12 − 7.92

Answer»

Using a²− b² = (a + b) (a − b), find

(i) 51² − 49² (ii) (1.02)² − (0.98)² (iii) 153² − 147²

(iv) 12.1² − 7.9²

Discussion

8506.	A vendor purchased bananas at ₹ 40 per dozen and sold them at 10 for ₹ 36. Find his gain or loss per cent.
Answer» A vendor purchased bananas at ₹ 40 per dozen and sold them at 10 for ₹ 36. Find his gain or loss per cent.

Discussion

8507.	Question 3(i) Factorise x2+xy+8x+8y
Answer» Question 3(i) Factorise $x^{2} + x y + 8 x + 8 y$

Discussion

8508.	How many signficant digits are there in 0.030100×106?
Answer» How many signficant digits are there in $0.030100 \times 10^{6}$ ?

Discussion

8509.	37. X and Y together can do a piece of work in 10 days, Y and Z can do the same work together in 12 days , while X and Z can do together in 15 days. How long each will take to do it separately ?
Answer» 37. X and Y together can do a piece of work in 10 days, Y and Z can do the same work together in 12 days , while X and Z can do together in 15 days. How long each will take to do it separately ?

Discussion

8510.	The angle subtended by blue portion at the center of following pie-chart is.
Answer» The angle subtended by blue portion at the center of following pie-chart is.

Discussion

8511.	What is the simplest form of 3272?
Answer» What is the simplest form of $\frac{32}{72}$ ?

Discussion

8512.	Solve for x:x+1x+4 =23
Answer» $Solve for x:$ $\frac{x + 1}{x + 4} = \frac{2}{3}$

Discussion

8513.	In a single throw of a die, find the probability of getting: (i) 8 (ii) a number greater than 8 (iii) a number less than 8
Answer» In a single throw of a die, find the probability of getting: (i) 8 (ii) a number greater than 8 (iii) a number less than 8

Discussion

8514.	A diagonal of a rectangle is inclined to one side of the rectangle at 25°. The acute angle between the diagonals is __________.
Answer» A diagonal of a rectangle is inclined to one side of the rectangle at 25°. The acute angle between the diagonals is __________.

Discussion

8515.	State whether the number given below is a perfect cube or not:46656
Answer» State whether the number given below is a perfect cube or not: 46656

Discussion

8516.	Question 56.Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:One more than twice the number.
Answer» Question 56. Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement: One more than twice the number.

8516.

Question 56.Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:One more than twice the number.

Answer»

Question 56.

Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:

One more than twice the number.

Discussion

8517.	The length of a trapezium shaped feild PQRS is 120 m. If QR=48 cm, RS= 17cm and PS=40, find the area of this field. Side PQ is perpendicular to the parallel sides PS and QR.
Answer» The length of a trapezium shaped feild PQRS is 120 m. If QR=48 cm, RS= 17cm and PS=40, find the area of this field. Side PQ is perpendicular to the parallel sides PS and QR.

Discussion

8518.	Rebecca has two different square cards. Card A of area 50 cm2 and card B of area 72 cm2. She wants to make a rectangular card whose length is equal to side length of card A and breadth is equal to side length of card B. Area of the rectangular card is cm2
Answer» Rebecca has two different square cards. Card A of area $50 c m^{2}$ and card B of area $72 c m^{2}$ . She wants to make a rectangular card whose length is equal to side length of card A and breadth is equal to side length of card B. Area of the rectangular card is $c m^{2}$

Discussion

8519.	In which of the following expressions, prime factorization has been done:(a) 24 = 2×3×4(b) 56 = 7×2×2×2(c) 70 = 2×5×7(d) 54 = 2×3×9
Answer» In which of the following expressions, prime factorization has been done: (a) 24 = $2 \times 3 \times 4$ (b) 56 = $7 \times 2 \times 2 \times 2$ (c) 70 = $2 \times 5 \times 7$ (d) 54 = $2 \times 3 \times 9$

Discussion

8520.	Question 88 (xv)Factorise the following expression.y2+8zx−2xy−4yz
Answer» Question 88 (xv) Factorise the following expression. $y^{2} + 8 z x - 2 x y - 4 y z$

Discussion

8521.	There is a box containing 15 ping pong balls of 3 different colors red, green and blue. There are 7 red balls and 3 green balls. What is the probability of getting a blue ball in the first attempt?
Answer» There is a box containing 15 ping pong balls of 3 different colors red, green and blue. There are 7 red balls and 3 green balls. What is the probability of getting a blue ball in the first attempt?

Discussion

8522.

Using Euler’s formula, find the unknown. Faces ? 5 20 Vertices 6 ? 12 Edges 12 9 ?

Answer»

Using Euler’s formula, find the unknown.

Faces	?	5	20
Vertices	6	?	12
Edges	12	9	?

Discussion

8523.	Question 57(iii) Study the graph and answer the questions that follow. On which day was the temperature 31∘ C?
Answer» Question 57(iii) Study the graph and answer the questions that follow. On which day was the temperature $31^{\circ}$ C?

Discussion

8524.	A solid cylinder is cut vertically as shown in the image. Its diameter and height are 12 cm and 15 cm, respectively. If the diameter is divided in the ratio 3:1, what is the increase in its surface area (in cm2)?
Answer» A solid cylinder is cut vertically as shown in the image. Its diameter and height are $12 c m$ and $15 c m$ , respectively. If the diameter is divided in the ratio $3 : 1$ , what is the increase in its surface area (in $c m^{2}$ )?

Discussion

8525.	A trader marks his goods at 40% above the cost price and allows a discount of 25%. What is his gain percentage?
Answer» A trader marks his goods at $40 %$ above the cost price and allows a discount of $25 %$ . What is his gain percentage?

8525.

A trader marks his goods at 40% above the cost price and allows a discount of 25%. What is his gain percentage?

Answer»

A trader marks his goods at $40 %$ above the cost price and allows a discount of $25 %$ . What is his gain percentage?

Discussion

8526.	Given: EB = BD, AE = CB, ∠A=∠C=90∘ Which congruence criterion do you use to prove ΔABE≅ΔCDB? [3 MARKS]
Answer» Given: EB = BD, AE = CB, $∠ A = ∠ C = 90^{\circ}$ Which congruence criterion do you use to prove $Δ A B E ≅ Δ C D B$ ? [3 MARKS]

Discussion

8527.	Decide which of the following are equal sets and which are not ? Justify your answer.A = { x \| 3 x -1 = 2}B = { x \| x is a natural number but x is neither prime nor composite}C = { x \| x ∈ N, x < 2}
Answer» Decide which of the following are equal sets and which are not ? Justify your answer. A = { x \| 3 x -1 = 2} B = { x \| x is a natural number but x is neither prime nor composite} C = { x \| x $\in$ N, x < 2}

Discussion

8528.	I have a tumbler. What shape do I see if I look at the tumbler from its left or right side? What shape do I see if I look at the tumbler from the top? Discuss briefly about both these
Answer» I have a tumbler. What shape do I see if I look at the tumbler from its left or right side? What shape do I see if I look at the tumbler from the top? Discuss briefly about both these

Discussion

8529.	Find the product of (6x−4y2) (7xy).
Answer» Find the product of $(6 x - 4 y^{2})$ $(7 x y)$ .

Discussion

8530.	Question 138 About 230 billion litres of water flows through a river each day, how many litres of water flows through that river in a week? How many litres of water flows through the river in an year? Write your answer in standard notation.
Answer» Question 138 About 230 billion litres of water flows through a river each day, how many litres of water flows through that river in a week? How many litres of water flows through the river in an year? Write your answer in standard notation.

8530.

Question 138 About 230 billion litres of water flows through a river each day, how many litres of water flows through that river in a week? How many litres of water flows through the river in an year? Write your answer in standard notation.

Answer»

Question 138

About 230 billion litres of water flows through a river each day, how many litres of water flows through that river in a week? How many litres of water flows through the river in an year? Write your answer in standard notation.

Discussion

8531.	(i) Find the square root of 169(ii) Find the value of √248+√(51+√169
Answer» (i) Find the square root of 169 (ii) Find the value of $\sqrt{248 + \sqrt{(51 + \sqrt{169}}}$

Discussion

8532.	Representation of data in form of sectors of a circle is called ___ .
Answer» Representation of data in form of sectors of a circle is called ___ .

Discussion

8533.	Question 2State whether the following is true or false.To construct a triangle similar to a given ΔABC with its sides of 73 corresponding sides of ΔABC, draw a ray BX making acute angle with BC and X lies on the opposite side of A with respect of BC. The points B1,B2,...B7 are located at equal distances on BX, B3 joined to C and then a line segment B6C’ is drawn parallel to B3C where C’ lies on BC produced . Finally line segment A’C’ is drawn parallel to AC.
Answer» Question 2 State whether the following is true or false. To construct a triangle similar to a given $Δ$ ABC with its sides of $\frac{7}{3}$ corresponding sides of $Δ$ ABC, draw a ray BX making acute angle with BC and X lies on the opposite side of A with respect of BC. The points $B_{1}, B_{2}, . . . B_{7}$ are located at equal distances on BX, $B_{3}$ joined to C and then a line segment $B_{6} C$ ’ is drawn parallel to $B_{3} C$ where C’ lies on BC produced . Finally line segment A’C’ is drawn parallel to AC.

Discussion

8534.	How will you rectify the following errors?(i) Sales Book is overcasted by ₹ 5,000.(ii) Sales Return Book is short casted by ₹ 500.(iii) Balance of Sales Book is carried forward in excess by ₹ 1,000.(iv) Balance of Sales Return Book is carried forward in excess by ₹ 100.
Answer» How will you rectify the following errors? (i) Sales Book is overcasted by ₹ 5,000. (ii) Sales Return Book is short casted by ₹ 500. (iii) Balance of Sales Book is carried forward in excess by ₹ 1,000. (iv) Balance of Sales Return Book is carried forward in excess by ₹ 100.

Discussion

8535.	Question 11 Write the correct answer from the given four options. The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is a) 81 b) 64 c) 49 d) 36
Answer» Question 11 Write the correct answer from the given four options. The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is a) 81 b) 64 c) 49 d) 36

8535.

Question 11 Write the correct answer from the given four options. The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is a) 81 b) 64 c) 49 d) 36

Answer»

Question 11

Write the correct answer from the given four options.

The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is

a) 81
b) 64
c) 49
d) 36

Discussion

8536.	Choose the correct answerIf five times a number increased by 8 is 53, the number is:A. 12 B. 9C. 11D. 2
Answer» Choose the correct answer If five times a number increased by 8 is 53, the number is: A. 12 B. 9 C. 11 D. 2

8536.

Choose the correct answerIf five times a number increased by 8 is 53, the number is:A. 12 B. 9C. 11D. 2

Answer»

Choose the correct answer

If five times a number increased by 8 is 53, the number is:

A. 12

B. 9

C. 11

D. 2

Discussion

8537.	Question 85(iii) The pie chart given below shows the result of a survey carried out to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow. If 18 children travel by car, how many children took part in the survey ?
Answer» Question 85(iii) The pie chart given below shows the result of a survey carried out to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow. If 18 children travel by car, how many children took part in the survey ?

8537.

Question 85(iii) The pie chart given below shows the result of a survey carried out to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow. If 18 children travel by car, how many children took part in the survey ?

Answer»

Question 85(iii)

The pie chart given below shows the result of a survey carried out to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow.

If 18 children travel by car, how many children took part in the survey ?

Discussion

8538.	How to draw the structure of IBr_2?
Answer» How to draw the structure of IBr_2?

Discussion

8539.	Factorise: 3m2+24m+36
Answer» Factorise: $3 m^{2} + 24 m + 36$

8539.

Factorise: 3m2+24m+36

Answer»

Factorise:

$3 m^{2} + 24 m + 36$

Discussion

8540.	If \|z\|+2=I(z), then z= (x,y) lies on-
Answer» If \|z\|+2=I(z), then z= (x,y) lies on-

Discussion

8541.	Half emptied juice bottle now containing 2 litres of juice. How much juice would it contain when it was full?
Answer» Half emptied juice bottle now containing 2 litres of juice. How much juice would it contain when it was full?

Discussion

8542.	The diagonals of a parallelogram are not perpendicular. Is it a rhombus? Why or why pot ?
Answer» The diagonals of a parallelogram are not perpendicular. Is it a rhombus? Why or why pot ?

Discussion

8543.	In a trapezoid ABCD,the diagonals intersect at E.If area of triangle ABE=72 and area of triangle CDE=50,then area of trapezium ABCD is ?
Answer» In a trapezoid ABCD,the diagonals intersect at E.If area of triangle ABE=72 and area of triangle CDE=50,then area of trapezium ABCD is ?

Discussion

8544.	What is the factorised expression for x3−27?
Answer» What is the factorised expression for $x^{3} - 27$ ?

Discussion

8545.	how to plot graph of a linear function?
Answer» how to plot graph of a linear function ?

Discussion

8546.	Question 4 (v) Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained: 4000
Answer» Question 4 (v) Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained: 4000

8546.

Question 4 (v) Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained: 4000

Answer»

Question 4 (v)
Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:

4000

Discussion

8547.	Mark the correct alternative in each of the following:(1) If x+1x=5, then x2+1x2=(a) 25(b) 10(c) 23(d) 27
Answer» Mark the correct alternative in each of the following: (1) If $x + \frac{1}{x} = 5$ , then $x^{2} + \frac{1}{x^{2}} =$ (a) 25 (b) 10 (c) 23 (d) 27

Discussion

8548.	Question 94 (iii)Carry out the following division:17ab2c3÷(−abc2)
Answer» Question 94 (iii) Carry out the following division: $17 a b^{2} c^{3} \div (- a b c^{2})$

8548.

Question 94 (iii)Carry out the following division:17ab2c3÷(−abc2)

Answer»

Question 94 (iii)

Carry out the following division:

$17 a b^{2} c^{3} \div (- a b c^{2})$

Discussion

8549.	Herbert was given an assignment in which he had to find the mean of a group of nine numbers. He computed the mean as 27. However, he later discovers that he misread 29 as 20, resulting in the incorrect mean calculation. What is the actual mean of the numbers given?
Answer» Herbert was given an assignment in which he had to find the mean of a group of nine numbers. He computed the mean as $27$ . However, he later discovers that he misread $29$ as $20$ , resulting in the incorrect mean calculation. What is the actual mean of the numbers given?

Discussion

8550.	The mean weight of a group of six boys is 64 kg. The individual weights (in kg) of five of them are 52, 57, 55, 60 and 68. Find the weight of the sixth boy.
Answer» The mean weight of a group of six boys is 64 kg. The individual weights (in kg) of five of them are 52, 57, 55, 60 and 68. Find the weight of the sixth boy.

Discussion

Explore topic-wise InterviewSolutions in .

What would be the ratio of the volumes of a cone and a cylinder?

−2+4−3= ___

Construct Δ XYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.

Using a2 − b2 = (a + b) (a − b), find(i) 512 − 492 (ii) (1.02)2 − (0.98)2 (iii) 1532 − 1472(iv) 12.12 − 7.92

A vendor purchased bananas at ₹ 40 per dozen and sold them at 10 for ₹ 36. Find his gain or loss per cent.

Question 3(i) Factorise x2+xy+8x+8y

How many signficant digits are there in 0.030100×106?

37. X and Y together can do a piece of work in 10 days, Y and Z can do the same work together in 12 days , while X and Z can do together in 15 days. How long each will take to do it separately ?

The angle subtended by blue portion at the center of following pie-chart is.

What is the simplest form of 3272?

Solve for x:x+1x+4 =23

In a single throw of a die, find the probability of getting: (i) 8 (ii) a number greater than 8 (iii) a number less than 8

A diagonal of a rectangle is inclined to one side of the rectangle at 25°. The acute angle between the diagonals is __________.

State whether the number given below is a perfect cube or not:46656

Question 56.Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:One more than twice the number.

The length of a trapezium shaped feild PQRS is 120 m. If QR=48 cm, RS= 17cm and PS=40, find the area of this field. Side PQ is perpendicular to the parallel sides PS and QR.

Rebecca has two different square cards. Card A of area 50 cm2 and card B of area 72 cm2. She wants to make a rectangular card whose length is equal to side length of card A and breadth is equal to side length of card B. Area of the rectangular card is cm2

In which of the following expressions, prime factorization has been done:(a) 24 = 2×3×4(b) 56 = 7×2×2×2(c) 70 = 2×5×7(d) 54 = 2×3×9

Question 88 (xv)Factorise the following expression.y2+8zx−2xy−4yz

There is a box containing 15 ping pong balls of 3 different colors red, green and blue. There are 7 red balls and 3 green balls. What is the probability of getting a blue ball in the first attempt?

Using Euler’s formula, find the unknown. Faces ? 5 20 Vertices 6 ? 12 Edges 12 9 ?

Question 57(iii) Study the graph and answer the questions that follow. On which day was the temperature 31∘ C?

A solid cylinder is cut vertically as shown in the image. Its diameter and height are 12 cm and 15 cm, respectively. If the diameter is divided in the ratio 3:1, what is the increase in its surface area (in cm2)?

A trader marks his goods at 40% above the cost price and allows a discount of 25%. What is his gain percentage?

Given: EB = BD, AE = CB, ∠A=∠C=90∘ Which congruence criterion do you use to prove ΔABE≅ΔCDB? [3 MARKS]

Decide which of the following are equal sets and which are not ? Justify your answer.A = { x | 3 x -1 = 2}B = { x | x is a natural number but x is neither prime nor composite}C = { x | x ∈ N, x &lt; 2}

I have a tumbler. What shape do I see if I look at the tumbler from its left or right side? What shape do I see if I look at the tumbler from the top? Discuss briefly about both these

Find the product of (6x−4y2) (7xy).

Question 138 About 230 billion litres of water flows through a river each day, how many litres of water flows through that river in a week? How many litres of water flows through the river in an year? Write your answer in standard notation.

(i) Find the square root of 169(ii) Find the value of √248+√(51+√169

Representation of data in form of sectors of a circle is called ___ .

How will you rectify the following errors?(i) Sales Book is overcasted by ₹ 5,000.(ii) Sales Return Book is short casted by ₹ 500.(iii) Balance of Sales Book is carried forward in excess by ₹ 1,000.(iv) Balance of Sales Return Book is carried forward in excess by ₹ 100.

Question 11 Write the correct answer from the given four options. The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is a) 81 b) 64 c) 49 d) 36

Choose the correct answerIf five times a number increased by 8 is 53, the number is:A. 12 B. 9C. 11D. 2

Question 85(iii) The pie chart given below shows the result of a survey carried out to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow. If 18 children travel by car, how many children took part in the survey ?

How to draw the structure of IBr_2?

Factorise: 3m2+24m+36

If |z|+2=I(z), then z= (x,y) lies on-

Half emptied juice bottle now containing 2 litres of juice. How much juice would it contain when it was full?

The diagonals of a parallelogram are not perpendicular. Is it a rhombus? Why or why pot ?

In a trapezoid ABCD,the diagonals intersect at E.If area of triangle ABE=72 and area of triangle CDE=50,then area of trapezium ABCD is ?

What is the factorised expression for x3−27?

how to plot graph of a linear function?

Question 4 (v) Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained: 4000

Mark the correct alternative in each of the following:(1) If x+1x=5, then x2+1x2=(a) 25(b) 10(c) 23(d) 27

Question 94 (iii)Carry out the following division:17ab2c3÷(−abc2)

Herbert was given an assignment in which he had to find the mean of a group of nine numbers. He computed the mean as 27. However, he later discovers that he misread 29 as 20, resulting in the incorrect mean calculation. What is the actual mean of the numbers given?

The mean weight of a group of six boys is 64 kg. The individual weights (in kg) of five of them are 52, 57, 55, 60 and 68. Find the weight of the sixth boy.

Decide which of the following are equal sets and which are not ? Justify your answer.A = { x | 3 x -1 = 2}B = { x | x is a natural number but x is neither prime nor composite}C = { x | x ∈ N, x < 2}