25365 + Interview Questions in Mathematics Page 235 InterviewSolution

11701.	Question 2(ii) Use the identity (x+a)(x+b)=x2+(a+b)x+ab to find the following products: (4x+5)(4x+1)
Answer» Question 2(ii) Use the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ to find the following products: $(4 x + 5) (4 x + 1)$

Discussion

11702.	Question 2(iii) The following line graph shows the yearly sales figures for a manufacturing company. Compute the difference between the sales in 2002 and 2006.
Answer» Question 2(iii) The following line graph shows the yearly sales figures for a manufacturing company. Compute the difference between the sales in 2002 and 2006.

11702.

Question 2(iii) The following line graph shows the yearly sales figures for a manufacturing company. Compute the difference between the sales in 2002 and 2006.

Answer»

Question 2(iii)

The following line graph shows the yearly sales figures for a manufacturing company.

Compute the difference between the sales in 2002 and 2006.

Discussion

11703.	A field is 80 m long and 50 m broad. In one corner of field, a pit which is 10 m long, 7.5 m broad and 8 m deep has been dug out. The earth taken out of it is evenly spread over the remaining part of field. Find the rise in level of field.
Answer» A field is $80 m$ long and $50 m$ broad. In one corner of field, a pit which is $10 m$ long, $7.5 m$ broad and $8 m$ deep has been dug out. The earth taken out of it is evenly spread over the remaining part of field. Find the rise in level of field.

Discussion

11704.	Which is larger and why: 3^3^3 or (3^3)^3
Answer» Which is larger and why: 3^3^3 or (3^3)^3

Discussion

11705.	Dinesh borrowed ₹ 20,000 for 2 years at 10% per annum compound interest. Calculate the interest paid by him for the second year.
Answer» Dinesh borrowed ₹ 20,000 for 2 years at 10% per annum compound interest. Calculate the interest paid by him for the second year.

Discussion

11706.	Four alternative options are given for each of the following statements. Select the correct option.The mean of first three multiples of 5 is:A. 5B. 10C. 15D. 30
Answer» Four alternative options are given for each of the following statements. Select the correct option. The mean of first three multiples of 5 is: A. 5 B. 10 C. 15 D. 30

11706.

Four alternative options are given for each of the following statements. Select the correct option.The mean of first three multiples of 5 is:A. 5B. 10C. 15D. 30

Answer»

Four alternative options are given for each of the following statements. Select the correct option.

The mean of first three multiples of 5 is:

A. 5

B. 10

C. 15

D. 30

Discussion

11707.	9. The wave number and radiation whose quantum is 1erg
Answer» 9. The wave number and radiation whose quantum is 1erg

Discussion

11708.	There are 2 two digit numbers such that one has been obtained by reversing the digits of the other. On subtracting the smaller number from the larger number, I get a number divisible by
Answer» There are 2 two digit numbers such that one has been obtained by reversing the digits of the other. On subtracting the smaller number from the larger number, I get a number divisible by

Discussion

11709.	Three angles of a quadrilateral are in the ratio 2:5:6. If the fourth angle measures 100° , find the other three angles of the quadrilateral.
Answer» Three angles of a quadrilateral are in the ratio 2:5:6. If the fourth angle measures 100° , find the other three angles of the quadrilateral.

Discussion

11710.	7. Find factor-(3x)50-(5x)50 Where 50 is exponent
Answer» 7. Find factor-(3x)50-(5x)50 Where 50 is exponent

Discussion

11711.	The screw of a screw gauge moves 4.5 mm linearly for every 3 complete rotations of the ratchet. If the circular scale of the gauge has 95 divisions, the least count of the screw gauge is:
Answer» The screw of a screw gauge moves $4.5 m m$ linearly for every $3$ complete rotations of the ratchet. If the circular scale of the gauge has $95$ divisions, the least count of the screw gauge is:

Discussion

11712.	David and his wife each receives 8 percent annual rise. If David receives a raise of Rs. 800 and his wife receives a raise of Rs. 840, then what is the difference between their annual income after their raises?
Answer» David and his wife each receives $8$ percent annual rise. If David receives a raise of $Rs. 800$ and his wife receives a raise of $Rs. 840,$ then what is the difference between their annual income after their raises?

Discussion

11713.	If you subtract 14 from a number and multiply the result by 12, you get 14. What is the number?
Answer» If you subtract $\frac{1}{4}$ from a number and multiply the result by $\frac{1}{2}$ , you get $\frac{1}{4}$ . What is the number?

Discussion

11714.	" 18! + 1 is divisible by 19 and 23 " prove it .
Answer» " 18! + 1 is divisible by 19 and 23 " prove it .

Discussion

11715.	The marked price of a watch is ₹1600. The shopkeeper gives two discounts to the customer, the first being 10%. If the customer pays ₹ 1224 for the watch, the second discount is :
Answer» The marked price of a watch is ₹1600. The shopkeeper gives two discounts to the customer, the first being $10 %$ . If the customer pays ₹ 1224 for the watch, the second discount is :

Discussion

11716.	In which of the following pairs, the numbers are not additive inverses of each other?
Answer» In which of the following pairs, the numbers are not additive inverses of each other?

Discussion

11717.	If x=2-3, find value of x-1x3.
Answer» If $x = 2 - \sqrt{3}$ , find value of ${(x - \frac{1}{x})}^{3}$ .

Discussion

11718.	What is the profit percent acquired when the cost price is ₹200 and selling price is ₹350?
Answer» What is the profit percent acquired when the cost price is ₹200 and selling price is ₹350?

Discussion

11719.	A decimal number is multiplied by itself. If the product is 51.84, then the number is ___. (Give answer till one decimal place)
Answer» A decimal number is multiplied by itself. If the product is 51.84, then the number is ___. (Give answer till one decimal place)

Discussion

11720.	If a semicircle has a circumference of (8+4π) m, then its:
Answer» If a semicircle has a circumference of $(8 + 4 π)$ m, then its:

Discussion

11721.

Study the table given below and draw a line graph for it. Side of the square (in cm) 2 3 4 5 6 Area (in cm2) 4 9 16 25 36 Is the graph drawn, a linear graph?

Answer» Study the table given below and draw a line graph for it.

Side of the square (in cm)	2	3	4	5	6
Area (in cm²)	4	9	16	25	36

Is the graph drawn, a linear graph?

Discussion

11722.	Question 6Write the correct answer from the given four options.Which of the following cannot be a perfect square?a) 841b) 529c) 198d) All of these
Answer» Question 6 Write the correct answer from the given four options. Which of the following cannot be a perfect square? a) 841 b) 529 c) 198 d) All of these

11722.

Question 6Write the correct answer from the given four options.Which of the following cannot be a perfect square?a) 841b) 529c) 198d) All of these

Answer»

Question 6

Write the correct answer from the given four options.

Which of the following cannot be a perfect square?

a) 841

b) 529

c) 198

d) All of these

Discussion

11723.	If any two opposite angles of a quadrilateral measure 90° will it always be a rectangle?
Answer» If any two opposite angles of a quadrilateral measure 90° will it always be a rectangle?

Discussion

11724.	Two friends, Danial and Logan, come to a theme park. Danial has $15.5 with him while Logan has $31.2. They decided to distribute the money equally among themselves such that each of them can spend an equal amount in the theme park. Determine the amount of money in dollars that Logan needs to give to Danial for equal sharing.7.85
Answer» Two friends, Danial and Logan, come to a theme park. Danial has $$ 15.5$ with him while Logan has $$ 31.2$ . They decided to distribute the money equally among themselves such that each of them can spend an equal amount in the theme park. Determine the amount of money in dollars that Logan needs to give to Danial for equal sharing. 7.85

Discussion

11725.	Find x if 3−x=132.
Answer» Find $x$ if $3^{- x} = \frac{1}{3^{2}} .$

Discussion

11726.	4329 = ___
Answer» 4329 = ___

Discussion

11727.	Solve for x : 2x−16=3(x+3)
Answer» Solve for $x$ : $2 x - 16 = 3 (x + 3)$

Discussion

11728.	Question 112 (iii) Use the following figure, showing the layout of a farmhouse. A fence is to be enclosed around the house. The dimensions of house are 18.7m×12.6m. At least how many metres of fencing are needed?
Answer» Question 112 (iii) Use the following figure, showing the layout of a farmhouse. A fence is to be enclosed around the house. The dimensions of house are $18.7 m \times 12.6 m$ . At least how many metres of fencing are needed?

11728.

Question 112 (iii) Use the following figure, showing the layout of a farmhouse. A fence is to be enclosed around the house. The dimensions of house are 18.7m×12.6m. At least how many metres of fencing are needed?

Answer»

Question 112 (iii)

Use the following figure, showing the layout of a farmhouse.

A fence is to be enclosed around the house. The dimensions of house are $18.7 m \times 12.6 m$ . At least how many metres of fencing are needed?

Discussion

11729.	Question 2To divide a line segment AB in the ratio 4:7 a ray AX is drawn first such that ∠ BAX is an acute angle and then points A1,A2,A3... are located at equal distances on the ray AX and the point B is joined to(A) A12(B) A11(C) A10(D) A9
Answer» Question 2 To divide a line segment AB in the ratio 4:7 a ray AX is drawn first such that $∠$ BAX is an acute angle and then points $A_{1}, A_{2}, A_{3} . . .$ are located at equal distances on the ray AX and the point B is joined to (A) $A_{12}$ (B) $A_{11}$ (C) $A_{10}$ (D) $A_{9}$

Discussion

11730.	Choose the correct answerThe value of x in the equation 5(x − 2) = 3(x − 3) is:A. 2B. 1/2C. 3/4D. 0
Answer» Choose the correct answer The value of x in the equation 5(x − 2) = 3(x − 3) is: A. 2 B. 1/2 C. 3/4 D. 0

11730.

Choose the correct answerThe value of x in the equation 5(x − 2) = 3(x − 3) is:A. 2B. 1/2C. 3/4D. 0

Answer»

Choose the correct answer

The value of x in the equation 5(x − 2) = 3(x − 3) is:

A. 2

B. 1/2

C. 3/4

D. 0

Discussion

11731.	2. In which of the following quadrants does the point (-7, -1) lie ? (a) I (b) II (c) III (d) IV
Answer» 2. In which of the following quadrants does the point (-7, -1) lie ? (a) I (b) II (c) III (d) IV

11731.

2. In which of the following quadrants does the point (-7, -1) lie ? (a) I (b) II (c) III (d) IV

Answer»

2. In which of the following quadrants does the point (-7, -1) lie ?

(a) I (b) II (c) III (d) IV

Discussion

11732.	Question 44In the given question, state whether the given statement is True or False.In N÷5 leaves remainder 3 and N÷2 leaves remainder 0, then N÷10 leaves remainder 4.
Answer» Question 44 In the given question, state whether the given statement is True or False. In $N \div 5$ leaves remainder 3 and $N \div 2$ leaves remainder 0, then $N \div 10$ leaves remainder 4.

Discussion

11733.	Each edge of a cube is increased by 20%. What is the percentage increase in the volume of the cube?
Answer» Each edge of a cube is increased by $20 % .$ What is the percentage increase in the volume of the cube?

Discussion

11734.	A farmer has a field of area 4945 ha. He wants to divide it equally among his one son and two daughters. Find the area of each one’s share. "ha" is the symbol of hectare and 1 hectare = 10,000 m2.
Answer» A farmer has a field of area $49 \frac{4}{5}$ ha. He wants to divide it equally among his one son and two daughters. Find the area of each one’s share. "ha" is the symbol of hectare and 1 hectare = 10,000 m $^{2}$ .

Discussion

11735.	What is the slant height of pyramid?
Answer» What is the slant height of pyramid?

Discussion

11736.	Construct a square of side 4 cm.
Answer» Construct a square of side 4 cm.

Discussion

11737.	Observe the following frequency polygon and write the answers of the questions below it.(1) Which class has the maximum number of students ?(2) Write the classes having zero frequency.(3) What is the class-mark of the class, having frequency of 50 students ?(4) Write the lower and upper class limits of the class whose class mark is 85.(5) How many students are in the class 80-90?
Answer» Observe the following frequency polygon and write the answers of the questions below it. (1) Which class has the maximum number of students ? (2) Write the classes having zero frequency. (3) What is the class-mark of the class, having frequency of 50 students ? (4) Write the lower and upper class limits of the class whose class mark is 85. (5) How many students are in the class 80-90?

Discussion

11738.	34. A person standing between two poles, finds that the angle subtended by his eyes by the tops of the poles is a right angle. if the heights of the two poles are two times and four times the height of the person and the distance between the two poles is equal to the height of the higher pole .find the ratio of the distances of the person from the smaller to the bigger poles ? Solve this with detailed explanation.
Answer» 34. A person standing between two poles, finds that the angle subtended by his eyes by the tops of the poles is a right angle. if the heights of the two poles are two times and four times the height of the person and the distance between the two poles is equal to the height of the higher pole .find the ratio of the distances of the person from the smaller to the bigger poles ? Solve this with detailed explanation.

Discussion

11739.	Question 99Solve the following question:Is 9720 a perfect cube? If not, find the smallest number by which it should be divided to get a perfect cube.
Answer» Question 99 Solve the following question: Is 9720 a perfect cube? If not, find the smallest number by which it should be divided to get a perfect cube.

11739.

Question 99Solve the following question:Is 9720 a perfect cube? If not, find the smallest number by which it should be divided to get a perfect cube.

Answer»

Question 99

Solve the following question:

Is 9720 a perfect cube? If not, find the smallest number by which it should be divided to get a perfect cube.

Discussion

11740.	ABCD is a quadrilateral in which diagonal BD is perpendicular to the side AB. If AB=4.5 cm, AD=7.5 cm and the dis†an ce of C from BD is 1.5 cm, then find the area of quadrilateral
Answer» ABCD is a quadrilateral in which diagonal BD is perpendicular to the side AB. If AB=4.5 cm, AD=7.5 cm and the dis†an ce of C from BD is 1.5 cm, then find the area of quadrilateral

Discussion

11741.	n3 + 2n2 – 5n – 6, where n is any positive integer, is always divisible by ( a) 2 (b) 3 (c) 4 (d) 5
Answer» n3 + 2n2 – 5n – 6, where n is any positive integer, is always divisible by ( a) 2 (b) 3 (c) 4 (d) 5

Discussion

11742.	Find the Height of a Cuboid whose Base Area is 180 cm sq. and Volume is 900 cm cu.?
Answer» Find the Height of a Cuboid whose Base Area is 180 cm sq. and Volume is 900 cm cu.?

Discussion

11743.	Evaluate :(a)(34)2 (b)(−43)3
Answer» Evaluate : $(a) {(\frac{3}{4})}^{2}$ $(b) {(\frac{- 4}{3})}^{3}$

Discussion

11744.	Swati borrowed Rs. 40960 from a bank to buy a piece of land. If the bank charges 1212% per annum, compounded half-yearly, what amount will she have to pay after 112 years? Also, find the interest paid by her.
Answer» Swati borrowed $R s . 40960$ from a bank to buy a piece of land. If the bank charges $12 \frac{1}{2} %$ per annum, compounded half-yearly, what amount will she have to pay after $1 \frac{1}{2}$ years? Also, find the interest paid by her.

Discussion

11745.	Question 11Show that in a quadrilateral ABCD, AB + BC + CD + DA < 2 (BD + AC).
Answer» Question 11 Show that in a quadrilateral ABCD, AB + BC + CD + DA < 2 (BD + AC).

Discussion

11746.	The dimensions of a cuboid are 6 cm × 4 cm × 2 cm. Draw two different nets of it.
Answer» The dimensions of a cuboid are 6 cm $\times$ 4 cm $\times$ 2 cm. Draw two different nets of it.

Discussion

11747.	Water is pouring into a reservoir at the rate of 60litre per minute if the volume of the Reservoir is 108m^3 find the number of hours it will take to fill the reservoir.
Answer» Water is pouring into a reservoir at the rate of 60litre per minute if the volume of the Reservoir is 108m^3 find the number of hours it will take to fill the reservoir.

Discussion

11748.	From the given data, what can be said about the speed? Distance covered (in kms)80100120140160180Time taken (in hrs)468101214
Answer» From the given data, what can be said about the speed? $\begin{matrix} Distance covered (in kms) & 80 & 100 & 120 & 140 & 160 & 180 Time taken (in hrs) & 4 & 6 & 8 & 10 & 12 & 14 \end{matrix}$

11748.

From the given data, what can be said about the speed? Distance covered (in kms)80100120140160180Time taken (in hrs)468101214

Answer»

From the given data, what can be said about the speed?

$\begin{matrix} Distance covered (in kms) & 80 & 100 & 120 & 140 & 160 & 180 Time taken (in hrs) & 4 & 6 & 8 & 10 & 12 & 14 \end{matrix}$

Discussion

11749.	Question 1 The following number of goals was scored by a team in a series of 10 matches: 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 Find the mean, median and mode of these scores.
Answer» Question 1 The following number of goals was scored by a team in a series of 10 matches: 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 Find the mean, median and mode of these scores.

Discussion

11750.

Find the nearest integer to the square root of the following numbers:(i) 232; (ii) 600; (iii) 728; (iv) 824; (v) 1729.

Answer»

Find the nearest integer to the square root of the following numbers:

(i) 232; (ii) 600; (iii) 728; (iv) 824; (v) 1729.

Discussion

Explore topic-wise InterviewSolutions in .

Question 2(ii) Use the identity (x+a)(x+b)=x2+(a+b)x+ab to find the following products: (4x+5)(4x+1)

Question 2(iii) The following line graph shows the yearly sales figures for a manufacturing company. Compute the difference between the sales in 2002 and 2006.

A field is 80 m long and 50 m broad. In one corner of field, a pit which is 10 m long, 7.5 m broad and 8 m deep has been dug out. The earth taken out of it is evenly spread over the remaining part of field. Find the rise in level of field.

Which is larger and why: 3^3^3 or (3^3)^3

Dinesh borrowed ₹ 20,000 for 2 years at 10% per annum compound interest. Calculate the interest paid by him for the second year.

Four alternative options are given for each of the following statements. Select the correct option.The mean of first three multiples of 5 is:A. 5B. 10C. 15D. 30

9. The wave number and radiation whose quantum is 1erg

There are 2 two digit numbers such that one has been obtained by reversing the digits of the other. On subtracting the smaller number from the larger number, I get a number divisible by

Three angles of a quadrilateral are in the ratio 2:5:6. If the fourth angle measures 100° , find the other three angles of the quadrilateral.

7. Find factor-(3x)50-(5x)50 Where 50 is exponent

The screw of a screw gauge moves 4.5 mm linearly for every 3 complete rotations of the ratchet. If the circular scale of the gauge has 95 divisions, the least count of the screw gauge is:

David and his wife each receives 8 percent annual rise. If David receives a raise of Rs. 800 and his wife receives a raise of Rs. 840, then what is the difference between their annual income after their raises?

If you subtract 14 from a number and multiply the result by 12, you get 14. What is the number?

" 18! + 1 is divisible by 19 and 23 " prove it .

The marked price of a watch is ₹1600. The shopkeeper gives two discounts to the customer, the first being 10%. If the customer pays ₹ 1224 for the watch, the second discount is :

In which of the following pairs, the numbers are not additive inverses of each other?

If x=2-3, find value of x-1x3.

What is the profit percent acquired when the cost price is ₹200 and selling price is ₹350?

A decimal number is multiplied by itself. If the product is 51.84, then the number is ___. (Give answer till one decimal place)

If a semicircle has a circumference of (8+4π) m, then its:

Study the table given below and draw a line graph for it. Side of the square (in cm) 2 3 4 5 6 Area (in cm2) 4 9 16 25 36 Is the graph drawn, a linear graph?

Question 6Write the correct answer from the given four options.Which of the following cannot be a perfect square?a) 841b) 529c) 198d) All of these

If any two opposite angles of a quadrilateral measure 90° will it always be a rectangle?

Find x if 3−x=132.

4329 = ___

Solve for x : 2x−16=3(x+3)

Question 112 (iii) Use the following figure, showing the layout of a farmhouse. A fence is to be enclosed around the house. The dimensions of house are 18.7m×12.6m. At least how many metres of fencing are needed?

Question 2To divide a line segment AB in the ratio 4:7 a ray AX is drawn first such that ∠ BAX is an acute angle and then points A1,A2,A3... are located at equal distances on the ray AX and the point B is joined to(A) A12(B) A11(C) A10​​​​​​​(D) A9​​​​​​​

Choose the correct answerThe value of x in the equation 5(x − 2) = 3(x − 3) is:A. 2B. 1/2C. 3/4D. 0

2. In which of the following quadrants does the point (-7, -1) lie ? (a) I (b) II (c) III (d) IV

Question 44In the given question, state whether the given statement is True or False.In N÷5 leaves remainder 3 and N÷2 leaves remainder 0, then N÷10 leaves remainder 4.

Each edge of a cube is increased by 20%. What is the percentage increase in the volume of the cube?

A farmer has a field of area 4945 ha. He wants to divide it equally among his one son and two daughters. Find the area of each one’s share. "ha" is the symbol of hectare and 1 hectare = 10,000 m2.

What is the slant height of pyramid?

Construct a square of side 4 cm.

Question 99Solve the following question:Is 9720 a perfect cube? If not, find the smallest number by which it should be divided to get a perfect cube.

ABCD is a quadrilateral in which diagonal BD is perpendicular to the side AB. If AB=4.5 cm, AD=7.5 cm and the dis†an ce of C from BD is 1.5 cm, then find the area of quadrilateral

n3 + 2n2 – 5n – 6, where n is any positive integer, is always divisible by ( a) 2 (b) 3 (c) 4 (d) 5

Find the Height of a Cuboid whose Base Area is 180 cm sq. and Volume is 900 cm cu.?

Evaluate :(a)(34)2 (b)(−43)3

Swati borrowed Rs. 40960 from a bank to buy a piece of land. If the bank charges 1212% per annum, compounded half-yearly, what amount will she have to pay after 112 years? Also, find the interest paid by her.

Question 11Show that in a quadrilateral ABCD, AB + BC + CD + DA < 2 (BD + AC).

The dimensions of a cuboid are 6 cm × 4 cm × 2 cm. Draw two different nets of it.

Water is pouring into a reservoir at the rate of 60litre per minute if the volume of the Reservoir is 108m^3 find the number of hours it will take to fill the reservoir. ​​​

From the given data, what can be said about the speed? Distance covered (in kms)80100120140160180Time taken (in hrs)468101214

Question 1 The following number of goals was scored by a team in a series of 10 matches: 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 Find the mean, median and mode of these scores.

Find the nearest integer to the square root of the following numbers:(i) 232; (ii) 600; (iii) 728; (iv) 824; (v) 1729.

Question 2To divide a line segment AB in the ratio 4:7 a ray AX is drawn first such that ∠ BAX is an acute angle and then points A1,A2,A3... are located at equal distances on the ray AX and the point B is joined to(A) A12(B) A11(C) A10(D) A9

Water is pouring into a reservoir at the rate of 60litre per minute if the volume of the Reservoir is 108m^3 find the number of hours it will take to fill the reservoir.