25365 + Interview Questions in Mathematics Page 195 InterviewSolution

9701.	Find the angle which exceeds its supplement by 44.
Answer» Find the angle which exceeds its supplement by 44.

Discussion

9702.	Question 10Area of a rectangle with length 4ab and breadth 6b2 isa) 24a2b2b) 24ab3c) 24ab2d) 24ab
Answer» Question 10 Area of a rectangle with length 4ab and breadth $6 b^{2}$ is a) $24 a^{2} b^{2}$ b) $24 a b^{3}$ c) $24 a b^{2}$ d) $24 a b$

Discussion

9703.	39. The circular wire diameter10 cm is cut and placed along the circumference of a circle of diameter 1m . The angle subtended by the wire at the center equal to 1./4 2./3 3./5 4./10
Answer» 39. The circular wire diameter10 cm is cut and placed along the circumference of a circle of diameter 1m . The angle subtended by the wire at the center equal to 1./4 2./3 3./5 4./10

Discussion

9704.	Choose the correct answerIf (x + 0.7x)/2 = 0.85, the value of x is:A. 2B. 1C. −1D. 0
Answer» Choose the correct answer If (x + 0.7x)/2 = 0.85, the value of x is: A. 2 B. 1 C. −1 D. 0

9704.

Choose the correct answerIf (x + 0.7x)/2 = 0.85, the value of x is:A. 2B. 1C. −1D. 0

Answer»

Choose the correct answer

If (x + 0.7x)/2 = 0.85, the value of x is:

A. 2

B. 1

C. −1

D. 0

Discussion

9705.	How many rational numbers are there strictly between 0 and 1such that the denominator of the rational number is 80?
Answer» How many rational numbers are there strictly between 0 and 1such that the denominator of the rational number is 80?

9705.

How many rational numbers are there strictly between 0 and 1such that the denominator of the rational number is 80?

Answer»

How many rational numbers are there strictly between 0 and 1such that the denominator of the rational number is 80?

Discussion

9706.	Determine the curved surface area of a cone of diameter 12 cm and depth of 8 cm.
Answer» Determine the curved surface area of a cone of diameter 12 cm and depth of 8 cm.

Discussion

9707.	The expression x9−x has:
Answer» The expression $x^{9} - x$ has:

Discussion

9708.	Question 86 (xv)Using suitable identities, evaluate the following:10.1×10.2
Answer» Question 86 (xv) Using suitable identities, evaluate the following: $10.1 \times 10.2$

9708.

Question 86 (xv)Using suitable identities, evaluate the following:10.1×10.2

Answer»

Question 86 (xv)

Using suitable identities, evaluate the following:

$10.1 \times 10.2$

Discussion

9709.	Does an outlier affect the line of best fit? Answer in Yes/No.
Answer» Does an outlier affect the line of best fit? Answer in Yes/No.

Discussion

9710.	Abscissa of all the points on y-axis is __________.
Answer» Abscissa of all the points on y-axis is __________.

Discussion

9711.	Question 10.2 . Two persons could fit new windows in a house in 3 days. How many persons would be needed to fit the windows in one day?
Answer» Question 10.2 . Two persons could fit new windows in a house in 3 days. How many persons would be needed to fit the windows in one day?

Discussion

9712.	Question 51 State whether the following statement is true or false: The product of two perfect squares is a perfect square.
Answer» Question 51 State whether the following statement is true or false: The product of two perfect squares is a perfect square.

9712.

Question 51 State whether the following statement is true or false: The product of two perfect squares is a perfect square.

Answer»

Question 51

State whether the following statement is true or false:

The product of two perfect squares is a perfect square.

Discussion

9713.	Question 1 (iii)Find the squares of the following numbers: 86
Answer» Question 1 (iii) Find the squares of the following numbers: 86

9713.

Question 1 (iii)Find the squares of the following numbers: 86

Answer»

Question 1 (iii)

Find the squares of the following numbers:

86

Discussion

9714.	What are the factors of (2x + 3y)^2 + 2(2x + 3y) (x + y) + (x + y)^2 ?
Answer» What are the factors of (2x + 3y)^2 + 2(2x + 3y) (x + y) + (x + y)^2 ?

Discussion

9715.	Find the area of a rhombus,each side of which measures 20 cm and one of whose diagonals is 24 cm.
Answer» Find the area of a rhombus,each side of which measures 20 cm and one of whose diagonals is 24 cm.

Discussion

9716.	Column method is appropriate for finding squares of _____ digit numbers only.
Answer» Column method is appropriate for finding squares of _____ digit numbers only.

Discussion

9717.	There are 10 swans in a bevy. Count the swans in each bevy and match the correct pair.
Answer» There are 10 swans in a bevy. Count the swans in each bevy and match the correct pair.

Discussion

9718.	Q:Solve the following eq. for 0^°=
Answer» Q:Solve the following eq. for 0^°=

Discussion

9719.	If P = {4, 5, 6, 7, 8, 9}, Q = {2, 3, 4}, R = {4, 5, 8} then .
Answer» If P = {4, 5, 6, 7, 8, 9}, Q = {2, 3, 4}, R = {4, 5, 8} then .

Discussion

9720.	What are the number of faces in a triangular pyramid? __
Answer» What are the number of faces in a triangular pyramid? __

Discussion

9721.	Evaluate: √31336
Answer» Evaluate: $\sqrt{3 \frac{13}{36}}$

Discussion

9722.	Match the following with their simplified forms
Answer» Match the following with their simplified forms

Discussion

9723.	If a, b and c are positive real numbers such that a^3+b^3/8+c^3/27 =1/2abc then a : b : c is equal to
Answer» If a, b and c are positive real numbers such that a^3+b^3/8+c^3/27 =1/2abc then a : b : c is equal to

Discussion

9724.	Multiply the expressions (2x2y2 - 5xy2) and (x2 - y2)
Answer» Multiply the expressions (2x²y² - 5xy²) and (x² - y²)

Discussion

9725.	Question 25In a sample study of 642 people, it was found that 514 people have a high school certificate. If a person is selected at random, the probability that the person has a high school certificate is:A) 0.5B) 0.6C) 0.7D) 0.8
Answer» Question 25 In a sample study of 642 people, it was found that 514 people have a high school certificate. If a person is selected at random, the probability that the person has a high school certificate is: A) 0.5 B) 0.6 C) 0.7 D) 0.8

Discussion

9726.	The volume of a cube is 64 cm3, then find the surface area.
Answer» The volume of a cube is 64 cm $^{3}$ , then find the surface area.

Discussion

9727.	A dishonest trader using a faulty balance makes a profit of 5% while buying as well as while selling his goods. His actual gain percent in the whole process amounts to,
Answer» A dishonest trader using a faulty balance makes a profit of $5 %$ while buying as well as while selling his goods. His actual gain percent in the whole process amounts to,

Discussion

9728.	Question 30The value of (2x2+4)÷2 isa) 2x2+2b) x2+2c) x2+4d) 2x2+4
Answer» Question 30 The value of $(2 x^{2} + 4) \div 2$ is a) $2 x^{2} + 2$ b) $x^{2} + 2$ c) $x^{2} + 4$ d) $2 x^{2} + 4$

Discussion

9729.	Suppose the perimeter of one face of a cube is 24 cm. What is its volume?
Answer» Suppose the perimeter of one face of a cube is 24 cm. What is its volume?

9729.

Suppose the perimeter of one face of a cube is 24 cm. What is its volume?

Answer»

Suppose the perimeter of one face of a cube is 24 cm. What is its volume?

Discussion

9730.	A alone can do a piece of work in 10 days and B alone can do it in 15 days. In how many days will A and B together do the same work? (a) 5 days (b) 6 days (c) 8 days (d) 9 days
Answer» A alone can do a piece of work in 10 days and B alone can do it in 15 days. In how many days will A and B together do the same work? (a) 5 days (b) 6 days (c) 8 days (d) 9 days

9730.

A alone can do a piece of work in 10 days and B alone can do it in 15 days. In how many days will A and B together do the same work? (a) 5 days (b) 6 days (c) 8 days (d) 9 days

Answer»

A alone can do a piece of work in 10 days and B alone can do it in 15 days. In how many days will A and B together do the same work?

(a) 5 days

(b) 6 days

(c) 8 days

(d) 9 days

Discussion

9731.	For a quiz competition, a group of 3 students is selected randomly from a class consisting of 5 boys and 5 girls. What is the probability that one girl and two boys are selected?
Answer» For a quiz competition, a group of 3 students is selected randomly from a class consisting of 5 boys and 5 girls. What is the probability that one girl and two boys are selected?

Discussion

9732.	Which of the following numbers will have 6 in the units place?
Answer» Which of the following numbers will have 6 in the units place?

9732.

Which of the following numbers will have 6 in the units place?

Answer»

Which of the following numbers will have 6 in the units place?

Discussion

9733.	If,U=A+root of X divided by X square +B.If [L]=[X];AND [X square] =[B],then why is [X square+B] written as [L square]?
Answer» If,U=A+root of X divided by X square +B.If [L]=[X];AND [X square] =[B],then why is [X square+B] written as [L square]?

Discussion

9734.	Match the given shapes with their corresponding lateral surface area.
Answer» Match the given shapes with their corresponding lateral surface area.

Discussion

9735.	In a triangle, each of the smaller angles is half the largest angle. Find the angles.
Answer» In a triangle, each of the smaller angles is half the largest angle. Find the angles.

Discussion

9736.	Using suitable identities, evaluate the following: (729)2−(271)2
Answer» Using suitable identities, evaluate the following: $(729)^{2} - (271)^{2}$

9736.

Using suitable identities, evaluate the following: (729)2−(271)2

Answer»

Using suitable identities, evaluate the following:

$(729)^{2} - (271)^{2}$

Discussion

9737.	Square numbers can only have _________ number of zeros at the end.
Answer» Square numbers can only have _________ number of zeros at the end.

Discussion

9738.	The square of the number 32 can be written as
Answer» The square of the number 32 can be written as

Discussion

9739.	Find the continued product:(x−1)(x+1)(x2+1)(x4+1)
Answer» Find the continued product: $(x - 1) (x + 1) (x^{2} + 1) (x^{4} + 1)$

Discussion

9740.	79.If X+y+z=24 then the maximum value of (X+1)(y+2)(z-3)is where X>-1 y>-2 and z>3
Answer» 79.If X+y+z=24 then the maximum value of (X+1)(y+2)(z-3)is where X>-1 y>-2 and z>3

Discussion

9741.	Find the product of (x+y−z+p) and xyzp.
Answer» Find the product of $(x + y - z + p)$ and $x y z p$ .

Discussion

9742.	Question 51 In the following question, fill in the blanks to make the statements true. By multiplying (53)4 by ___ we get 54.
Answer» Question 51 In the following question, fill in the blanks to make the statements true. By multiplying ${(\frac{5}{3})}^{4}$ by ___ we get $5^{4}$ .

9742.

Question 51 In the following question, fill in the blanks to make the statements true. By multiplying (53)4 by ___ we get 54.

Answer»

Question 51

In the following question, fill in the blanks to make the statements true.

By multiplying ${(\frac{5}{3})}^{4}$ by ___ we get $5^{4}$ .

Discussion

9743.	Question 70(i) A man started his journey on his car from Location A and came back. The given graph shows his position at different times during the whole journey. At what time did he start and end his journey?
Answer» Question 70(i) A man started his journey on his car from Location A and came back. The given graph shows his position at different times during the whole journey. At what time did he start and end his journey?

Discussion

9744.	The digit at ones place of a 2-digit number is four times the digit at tens place. Thenumber obtained by reversing the digits exceeds the given number by 54. Findthe given number.
Answer» The digit at ones place of a 2-digit number is four times the digit at tens place. Thenumber obtained by reversing the digits exceeds the given number by 54. Findthe given number.

Discussion

9745.	Write one and sixty seven hundredths in numerals.
Answer» $Write o n e a n d s i x t y s e v e n h u n d r e d t h s$ $in numerals.$

Discussion

9746.	Question 110(iv)Verifty the property x×(y+z)=x×y+x×z of rational numbers by takingx=−15,y=215 and z=−310
Answer» Question 110(iv) Verifty the property $x \times (y + z) = x \times y + x \times z$ of rational numbers by taking $x = \frac{- 1}{5}, y = \frac{2}{15}$ and $z = \frac{- 3}{10}$

Discussion

9747.	AB ×BA ------------ (B+1) C B -------------
Answer» AB ×BA ------------ (B+1) C B -------------

Discussion

9748.	Draw any line segment ¯¯¯¯¯¯¯¯AB. Mark any point M on it. Through M, draw a perpendicular to ¯¯¯¯¯¯¯¯AB. (Use ruler and compasses)
Answer» Draw any line segment $¯ ¯¯¯¯¯¯ ¯ A B$ . Mark any point M on it. Through M, draw a perpendicular to $¯ ¯¯¯¯¯¯ ¯ A B$ . (Use ruler and compasses)

Discussion

9749.	In a study of diabetic patients in a village, the following observations were noted.Age in years10−2020−3030−4040−5050−6060−70Number of patients25121994Represent the above data by a frequency polygon.
Answer» In a study of diabetic patients in a village, the following observations were noted. $\begin{matrix} Age in years & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 Number of patients & 2 & 5 & 12 & 19 & 9 & 4 \end{matrix}$ Represent the above data by a frequency polygon.

Discussion

9750.	Amit was given an increment of 20% on his salary. If his new salary is Rs. 15300, what was his salary before the increment ?
Answer» Amit was given an increment of 20 $%$ on his salary. If his new salary is Rs. 15300, what was his salary before the increment ?

Discussion

Explore topic-wise InterviewSolutions in .

Find the angle which exceeds its supplement by 44.

Question 10Area of a rectangle with length 4ab and breadth 6b2 isa) 24a2b2b) 24ab3c) 24ab2d) 24ab

39. The circular wire diameter10 cm is cut and placed along the circumference of a circle of diameter 1m . The angle subtended by the wire at the center equal to 1./4 2./3 3./5 4./10

Choose the correct answerIf (x + 0.7x)/2 = 0.85, the value of x is:A. 2B. 1C. −1D. 0

How many rational numbers are there strictly between 0 and 1such that the denominator of the rational number is 80?

Determine the curved surface area of a cone of diameter 12 cm and depth of 8 cm.

The expression x9−x has:

Question 86 (xv)Using suitable identities, evaluate the following:10.1×10.2

Does an outlier affect the line of best fit? Answer in Yes/No.

Abscissa of all the points on y-axis is __________.

Question 10.2 . Two persons could fit new windows in a house in 3 days. How many persons would be needed to fit the windows in one day?

Question 51 State whether the following statement is true or false: The product of two perfect squares is a perfect square.

Question 1 (iii)Find the squares of the following numbers: 86

What are the factors of (2x + 3y)^2 + 2(2x + 3y) (x + y) + (x + y)^2 ?

Find the area of a rhombus,each side of which measures 20 cm and one of whose diagonals is 24 cm.

Column method is appropriate for finding squares of _____ digit numbers only.

There are 10 swans in a bevy. Count the swans in each bevy and match the correct pair.

Q:Solve the following eq. for 0^°=

If P = {4, 5, 6, 7, 8, 9}, Q = {2, 3, 4}, R = {4, 5, 8} then .

What are the number of faces in a triangular pyramid? __

Evaluate: √31336

Match the following with their simplified forms

If a, b and c are positive real numbers such that a^3+b^3/8+c^3/27 =1/2abc then a : b : c is equal to

Multiply the expressions (2x2y2 - 5xy2) and (x2 - y2)

Question 25In a sample study of 642 people, it was found that 514 people have a high school certificate. If a person is selected at random, the probability that the person has a high school certificate is:A) 0.5B) 0.6C) 0.7D) 0.8​​​​​​​

The volume of a cube is 64 cm3, then find the surface area.

A dishonest trader using a faulty balance makes a profit of 5% while buying as well as while selling his goods. His actual gain percent in the whole process amounts to,

Question 30The value of (2x2+4)÷2 isa) 2x2+2b) x2+2c) x2+4d) 2x2+4

Suppose the perimeter of one face of a cube is 24 cm. What is its volume?

A alone can do a piece of work in 10 days and B alone can do it in 15 days. In how many days will A and B together do the same work? (a) 5 days (b) 6 days (c) 8 days (d) 9 days

For a quiz competition, a group of 3 students is selected randomly from a class consisting of 5 boys and 5 girls. What is the probability that one girl and two boys are selected?

Which of the following numbers will have 6 in the units place?

If,U=A+root of X divided by X square +B.If [L]=[X];AND [X square] =[B],then why is [X square+B] written as [L square]?

Match the given shapes with their corresponding lateral surface area.

In a triangle, each of the smaller angles is half the largest angle. Find the angles.

Using suitable identities, evaluate the following: (729)2−(271)2

Square numbers can only have _________ number of zeros at the end.

The square of the number 32 can be written as

Find the continued product:(x−1)(x+1)(x2+1)(x4+1)

79.If X+y+z=24 then the maximum value of (X+1)(y+2)(z-3)is where X>-1 y>-2 and z>3

Find the product of (x+y−z+p) and xyzp.

Question 51 In the following question, fill in the blanks to make the statements true. By multiplying (53)4 by ___ we get 54.

Question 70(i) A man started his journey on his car from Location A and came back. The given graph shows his position at different times during the whole journey. At what time did he start and end his journey?

The digit at ones place of a 2-digit number is four times the digit at tens place. Thenumber obtained by reversing the digits exceeds the given number by 54. Findthe given number.

Write one and sixty seven hundredths in numerals.

Question 110(iv)Verifty the property x×(y+z)=x×y+x×z of rational numbers by takingx=−15,y=215 and z=−310

AB ×BA ------------ (B+1) C B -------------

Draw any line segment ¯¯¯¯¯¯¯¯AB. Mark any point M on it. Through M, draw a perpendicular to ¯¯¯¯¯¯¯¯AB. (Use ruler and compasses)

In a study of diabetic patients in a village, the following observations were noted.Age in years10−2020−3030−4040−5050−6060−70Number of patients25121994Represent the above data by a frequency polygon.

Amit was given an increment of 20% on his salary. If his new salary is Rs. 15300, what was his salary before the increment ?

Question 25In a sample study of 642 people, it was found that 514 people have a high school certificate. If a person is selected at random, the probability that the person has a high school certificate is:A) 0.5B) 0.6C) 0.7D) 0.8