25365 + Interview Questions in Mathematics Page 196 InterviewSolution

9751.	Mark the correct option:If are nonzero real numbers, then equalsA. 1B. x·y−1C. x−1· yD. x−1· y−1
Answer» Mark the correct option: If are nonzero real numbers, then equals A. 1 B. x·y⁻¹ C. x⁻¹· y D. x⁻¹· y⁻¹

9751.

Mark the correct option:If are nonzero real numbers, then equalsA. 1B. x·y−1C. x−1· yD. x−1· y−1

Answer»

Mark the correct option:

If are nonzero real numbers, then equals

A. 1

B. x·y⁻¹

C. x⁻¹· y

D. x⁻¹· y⁻¹

Discussion

9752.	Question 38In the following question, fill in the blanks to make the statements true.The value of (123)2is equal to ___
Answer» Question 38 In the following question, fill in the blanks to make the statements true. The value of ${(\frac{1}{2^{3}})}^{2}$ is equal to ___

9752.

Question 38In the following question, fill in the blanks to make the statements true.The value of (123)2is equal to ___

Answer»

Question 38

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

The value of ${(\frac{1}{2^{3}})}^{2}$ is equal to ___

Discussion

9753.	Two persons could fit new windows in a house in 3 days.One of the persons fell ill before the work started. How long would the job take now?
Answer» Two persons could fit new windows in a house in 3 days. One of the persons fell ill before the work started. How long would the job take now?

Discussion

9754.	Enter the cube root of 29791, given that it is a perfect cube.31
Answer» Enter the cube root of 29791, given that it is a perfect cube. 31

Discussion

9755.	Question 37 Fill in the blanks to make the statements true. The square of 0.7 is ___
Answer» Question 37 Fill in the blanks to make the statements true. The square of 0.7 is ___

9755.

Question 37 Fill in the blanks to make the statements true. The square of 0.7 is ___

Answer»

Question 37

Fill in the blanks to make the statements true.

The square of 0.7 is ___

Discussion

9756.	Question 111(i)Use the distributivity of multiplication of rational numbers over addition to simplify.35×[3524+101]
Answer» Question 111(i) Use the distributivity of multiplication of rational numbers over addition to simplify. $\frac{3}{5} \times [\frac{35}{24} + \frac{10}{1}]$

Discussion

9757.	25. If [x+[x]]
Answer» 25. If [x+[x]]

Discussion

9758.	Find the sum of the digits of (111111111)2.
Answer» Find the sum of the digits of (111111111)².

Discussion

9759.	Question 8Find the values of the letters in the following and give reasons for the steps involved. A 1 + 1 B–––––––– B 0––––––
Answer» Question 8 Find the values of the letters in the following and give reasons for the steps involved. $A 1$ $+ 1 B - ------ -$ $B 0 - ---- -$

Discussion

9760.	Determine the square of 4.4 .
Answer» Determine the square of 4.4 .

Discussion

9761.	Question 11(v)The product of two rational numbers is always a _______.
Answer» Question 11(v) The product of two rational numbers is always a _______.

Discussion

9762.	The following pie–chart shows the distribution of students of IIT’s and IIM’s in seven different companies TCS, Wipro, Satyam, Infosys, TATA, Reliance and Birla.Total number of students from IIT = 23700Total number of students from IIM = 24700(A) How many employees of TATA and Birla are students from IIT?(B) How many employees of Reliance and Satyam are students from IIM?
Answer» The following pie–chart shows the distribution of students of IIT’s and IIM’s in seven different companies TCS, Wipro, Satyam, Infosys, TATA, Reliance and Birla. Total number of students from IIT = 23700 Total number of students from IIM = 24700 (A) How many employees of TATA and Birla are students from IIT? (B) How many employees of Reliance and Satyam are students from IIM?

Discussion

9763.	Question 86 (viii)Using suitable identities, evaluate the following:52×53
Answer» Question 86 (viii) Using suitable identities, evaluate the following: $52 \times 53$

9763.

Question 86 (viii)Using suitable identities, evaluate the following:52×53

Answer»

Question 86 (viii)

Using suitable identities, evaluate the following:

$52 \times 53$

Discussion

9764.	Question 76 Between any two rational numbers there are exactly ten rational numbers.
Answer» Question 76 Between any two rational numbers there are exactly ten rational numbers.

Discussion

9765.	34:28::56:44::45:? (1) 25(2) 28(3) 26(4) 36
Answer» 34:28::56:44::45:? (1) 25(2) 28(3) 26(4) 36

Discussion

9766.	The length of the normal chord to the parabola y^2=4x which subtends a right angle at the vertex is (1) 6 under root 3(2) 3 under root 3 (3) 2(4) 1
Answer» The length of the normal chord to the parabola y^2=4x which subtends a right angle at the vertex is (1) 6 under root 3 (2) 3 under root 3 (3) 2 (4) 1

Discussion

9767.	Question 3(i)For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.How high was Plant A after (i) 2 weeks (ii) 3weeks?
Answer» Question 3(i) For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph. How high was Plant A after (i) 2 weeks (ii) 3weeks?

Discussion

9768.	Which of the following is/are true about the diagonals of a rhombus?
Answer» Which of the following is/are true about the diagonals of a rhombus?

Discussion

9769.	Number of critical points of f(x)=x4e−x2 is
Answer» Number of critical points of $f (x) = x^{4} e^{- x^{2}}$ is

Discussion

9770.	Vilasrao borrowed ₹20000 from a bank at a rate of 8 p.c.p.a. What is the amount he will return to the bank at the end of the year?
Answer» Vilasrao borrowed ₹20000 from a bank at a rate of 8 p.c.p.a. What is the amount he will return to the bank at the end of the year?

Discussion

9771.	If Mathew wants to earn a simple interest of ₹ 500 by lending money to his friend at an interest of 10% per annum for 5 years, then the money that he has to lend will be
Answer» If Mathew wants to earn a simple interest of ₹ 500 by lending money to his friend at an interest of $10 %$ per annum for 5 years, then the money that he has to lend will be

Discussion

9772.	Question 99(iii)Find the value of x, so that: (2−1+4−1+6−1+8−1)x=1
Answer» Question 99(iii) Find the value of x, so that: $(2^{- 1} + 4^{- 1} + 6^{- 1} + 8^{- 1})^{x} = 1$

9772.

Question 99(iii)Find the value of x, so that: (2−1+4−1+6−1+8−1)x=1

Answer»

Question 99(iii)

Find the value of x, so that:

$(2^{- 1} + 4^{- 1} + 6^{- 1} + 8^{- 1})^{x} = 1$

Discussion

9773.	When a square paper is folded into half twice, and then unfolded, which of these patterns is not possible?
Answer» When a square paper is folded into half twice, and then unfolded, which of these patterns is not possible?

Discussion

9774.	A subset B of the set of first 100 positive integers such that no two elements of B add up to 125. What is the maximum possible number of elements of B
Answer» A subset B of the set of first 100 positive integers such that no two elements of B add up to 125. What is the maximum possible number of elements of B

Discussion

9775.	2 minutes is _______ % to an hour
Answer» 2 minutes is _______ % to an hour

Discussion

9776.	The sum of three consecutive natural numbers each divisible by 5 is 225 . Then find the numbers.
Answer» The sum of three consecutive natural numbers each divisible by 5 is 225 . Then find the numbers.

Discussion

9777.	Question 25Fill in the blanks to make the statement true.A pyramid on an n sided polygon has ___ faces.
Answer» Question 25 Fill in the blanks to make the statement true. A pyramid on an n sided polygon has ___ faces.

Discussion

9778.	20. Solve: 2[x]= 4{x}+x where [ ]represents greater integer function and { }represents fractional part of x
Answer» 20. Solve: 2[x]= 4{x}+x where [ ]represents greater integer function and { }represents fractional part of x

Discussion

9779.	Question 2Only one of the four options is correct. Write the correct one.The ratio of the number of sides of a square to the number of edges of a cube isa) 1 : 2b) 3 : 2c) 4 : 1d) 1 : 3
Answer» Question 2 Only one of the four options is correct. Write the correct one. The ratio of the number of sides of a square to the number of edges of a cube is a) 1 : 2 b) 3 : 2 c) 4 : 1 d) 1 : 3

9779.

Question 2Only one of the four options is correct. Write the correct one.The ratio of the number of sides of a square to the number of edges of a cube isa) 1 : 2b) 3 : 2c) 4 : 1d) 1 : 3

Answer»

Question 2

Only one of the four options is correct. Write the correct one.

The ratio of the number of sides of a square to the number of edges of a cube is

a) 1 : 2

b) 3 : 2

c) 4 : 1

d) 1 : 3

Discussion

9780.	Question 160Quadrilateral EFGH is a rectangle in which J is the point of intersection of the diagonals. Find the value of x, if JF = 8x + 4 and EG = 24x - 8.
Answer» Question 160 Quadrilateral EFGH is a rectangle in which J is the point of intersection of the diagonals. Find the value of x, if JF = 8x + 4 and EG = 24x - 8.

Discussion

9781.	Factorise the expression ((2a+b)2−4(2a+b)) + 3.
Answer» Factorise the expression $((2 a + b)^{2} - 4 (2 a + b))$ + 3.

Discussion

9782.	The standard notation of 1000a + 100b + c is
Answer» The standard notation of 1000a + 100b + c is

Discussion

9783.	Question 3(iii)Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube:135
Answer» Question 3(iii) Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube: 135

Discussion

9784.	In the given figure AD = BC and BD = CA. Choose the correct criterion for △ABD ≅ △BAC.
Answer» In the given figure AD = BC and BD = CA. Choose the correct criterion for △ABD ≅ △BAC.

Discussion

9785.	16 men can do a piece of work in 14 days. How long will it take for 7 men to do the same work?
Answer» 16 men can do a piece of work in 14 days. How long will it take for 7 men to do the same work?

Discussion

9786.	A man got a 10% increase in his salary.If his new salary is 1,54.000,find his original salary.
Answer» A man got a 10% increase in his salary.If his new salary is 1,54.000,find his original salary.

Discussion

9787.	Just by looking at the numbers, identify which of the following cannot be a perfect square.
Answer» Just by looking at the numbers, identify which of the following cannot be a perfect square.

Discussion

9788.	Question 41 In the experiment of tossing a coin one time, the outcome is either ___ or ___.
Answer» Question 41 In the experiment of tossing a coin one time, the outcome is either ___ or ___.

9788.

Question 41 In the experiment of tossing a coin one time, the outcome is either _ or _.

Answer»

Question 41

In the experiment of tossing a coin one time, the outcome is either ___ or ___.

Discussion

9789.	Question 3 (i)Find the square root of the following decimal numbers: 2.56
Answer» Question 3 (i) Find the square root of the following decimal numbers: 2.56

Discussion

9790.	What is the fraction which when multiplied by itself gives 0.00053361?
Answer» What is the fraction which when multiplied by itself gives 0.00053361?

Discussion

9791.	AB+ AB+ B BB A=___ ;B=___
Answer» $\begin{matrix} A B + A B + B B B \end{matrix}$ A=___ ;B=___

Discussion

9792.	46. Show that if the diagonals of a quad bisect each other at right angles then it is a rhombus
Answer» 46. Show that if the diagonals of a quad bisect each other at right angles then it is a rhombus

Discussion

9793.	By using the formula, find the amount and compound interest on: The simple interest on a sum of money for 2 years at 8% per annum is Rs. 2400. What will be the compound interest on that sum at the same rate and for the same period?
Answer» By using the formula, find the amount and compound interest on: The simple interest on a sum of money for $2$ years at $8 %$ per annum is $R s . 2400.$ What will be the compound interest on that sum at the same rate and for the same period?

9793.

By using the formula, find the amount and compound interest on: The simple interest on a sum of money for 2 years at 8% per annum is Rs. 2400. What will be the compound interest on that sum at the same rate and for the same period?

Answer»

By using the formula, find the amount and compound interest on:

The simple interest on a sum of money for $2$ years at $8 %$ per annum is $R s . 2400.$ What will be the compound interest on that sum at the same rate and for the same period?

Discussion

9794.	95. The time period of a simple pendulum are 2.63s,2.56s,2.42s2.71sand2.80s calculate the relative error and the percentage error
Answer» 95. The time period of a simple pendulum are 2.63s,2.56s,2.42s2.71sand2.80s calculate the relative error and the percentage error

Discussion

9795.	The cube of 0.6 lies between
Answer» The cube of 0.6 lies between

Discussion

9796.	Write five rational numbers greater than -2.
Answer» Write five rational numbers greater than -2.

Discussion

9797.	Consider the figure: If BC = AC, x = 2y, and angle ∠ACB = 60o. Then find the value of ∠B + y (in degrees). ___
Answer» Consider the figure: If BC = AC, x = 2y, and angle ∠ACB = 60^o. Then find the value of ∠B + y (in degrees). ___

9797.

Consider the figure: If BC = AC, x = 2y, and angle ∠ACB = 60o. Then find the value of ∠B + y (in degrees). ___

Answer»

Consider the figure:

If BC = AC, x = 2y, and angle ∠ACB = 60^o. Then find the value of ∠B + y (in degrees).

___

Discussion

9798.	Daniel bought 2 equal chocolate cream pies and gifted 114 of it to her friend Nuthan. Nuthan ate 18 of the gifted pie, numerator of fraction of two chocolate cream pies that Nuthan ate is
Answer» Daniel bought 2 equal chocolate cream pies and gifted $1 \frac{1}{4}$ of it to her friend Nuthan. Nuthan ate $\frac{1}{8}$ of the gifted pie, numerator of fraction of two chocolate cream pies that Nuthan ate is

Discussion

9799.	The simplified form of 2723912×332 is .
Answer» The simplified form of $\frac{27^{\frac{2}{3}}}{9^{\frac{1}{2}} \times 3^{\frac{3}{2}}}$ is .

Discussion

9800.	a+b+c*(ABC)
Answer» a+b+c*(ABC)

Discussion

Explore topic-wise InterviewSolutions in .

Mark the correct option:If are nonzero real numbers, then equalsA. 1B. x·y−1C. x−1· yD. x−1· y−1

Question 38In the following question, fill in the blanks to make the statements true.The value of (123)2is equal to ___

Two persons could fit new windows in a house in 3 days.One of the persons fell ill before the work started. How long would the job take now?

Enter the cube root of 29791, given that it is a perfect cube.31

Question 37 Fill in the blanks to make the statements true. The square of 0.7 is ___

Question 111(i)Use the distributivity of multiplication of rational numbers over addition to simplify.35×[3524+101]

25. If [x+[x]]

Find the sum of the digits of (111111111)2.

Question 8Find the values of the letters in the following and give reasons for the steps involved. A 1 + 1 B–––––––– B 0––––––

Determine the square of 4.4 .

Question 11(v)The product of two rational numbers is always a _______.

Question 86 (viii)Using suitable identities, evaluate the following:52×53

Question 76 Between any two rational numbers there are exactly ten rational numbers.

34:28::56:44::45:? (1) 25(2) 28(3) 26(4) 36

The length of the normal chord to the parabola y^2=4x which subtends a right angle at the vertex is (1) 6 under root 3(2) 3 under root 3 (3) 2(4) 1

Question 3(i)For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.How high was Plant A after (i) 2 weeks (ii) 3weeks?

Which of the following is/are true about the diagonals of a rhombus?

Number of critical points of f(x)=x4e−x2 is

Vilasrao borrowed ₹20000 from a bank at a rate of 8 p.c.p.a. What is the amount he will return to the bank at the end of the year?

If Mathew wants to earn a simple interest of ₹ 500 by lending money to his friend at an interest of 10% per annum for 5 years, then the money that he has to lend will be

Question 99(iii)Find the value of x, so that: (2−1+4−1+6−1+8−1)x=1

When a square paper is folded into half twice, and then unfolded, which of these patterns is not possible?

A subset B of the set of first 100 positive integers such that no two elements of B add up to 125. What is the maximum possible number of elements of B

2 minutes is _______ % to an hour

The sum of three consecutive natural numbers each divisible by 5 is 225 . Then find the numbers.

Question 25Fill in the blanks to make the statement true.A pyramid on an n sided polygon has ___ faces.

20. Solve: 2[x]= 4{x}+x where [ ]represents greater integer function and { }represents fractional part of x

Question 2Only one of the four options is correct. Write the correct one.The ratio of the number of sides of a square to the number of edges of a cube isa) 1 : 2b) 3 : 2c) 4 : 1d) 1 : 3

Question 160Quadrilateral EFGH is a rectangle in which J is the point of intersection of the diagonals. Find the value of x, if JF = 8x + 4 and EG = 24x - 8.

Factorise the expression ((2a+b)2−4(2a+b)) + 3.

The standard notation of 1000a + 100b + c is

Question 3(iii)Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube:135

In the given figure AD = BC and BD = CA. Choose the correct criterion for △ABD ≅ △BAC.

16 men can do a piece of work in 14 days. How long will it take for 7 men to do the same work?

A man got a 10% increase in his salary.If his new salary is 1,54.000,find his original salary.

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

Question 41 In the experiment of tossing a coin one time, the outcome is either ___ or ___.

Question 3 (i)Find the square root of the following decimal numbers: 2.56

What is the fraction which when multiplied by itself gives 0.00053361?

AB+ AB+ B BB A=___ ;B=___

46. Show that if the diagonals of a quad bisect each other at right angles then it is a rhombus

By using the formula, find the amount and compound interest on: The simple interest on a sum of money for 2 years at 8% per annum is Rs. 2400. What will be the compound interest on that sum at the same rate and for the same period?

95. The time period of a simple pendulum are 2.63s,2.56s,2.42s2.71sand2.80s calculate the relative error and the percentage error

The cube of 0.6 lies between

Write five rational numbers greater than -2.

Consider the figure: If BC = AC, x = 2y, and angle ∠ACB = 60o. Then find the value of ∠B + y (in degrees). ___

Daniel bought 2 equal chocolate cream pies and gifted 114 of it to her friend Nuthan. Nuthan ate 18 of the gifted pie, numerator of fraction of two chocolate cream pies that Nuthan ate is

The simplified form of 2723912×332 is .

a+b+c*(ABC)

Question 41 In the experiment of tossing a coin one time, the outcome is either _ or _.

AB+ AB+ B BB A=_ ;B=_