126 + Interview Questions in SIMPLIFICATION in Mathematics Page 3 InterviewSolution

101.	If the product of four consecutive natural numbers increased by a natural number p, is a perfect square; then the value of p is1). 82). 43). 24). 1
Answer» This QUESTION was ASKED some where in previous year PAPERS of ssc, and CORRECT answer was option 4

Discussion

102.	The value of $4-\frac{1}{1+\frac{1}{3+\frac{1}{2+\frac{1}{4}}}}$is1). $\frac{1}{8}$2). $\frac{1}{64}$3). $\frac{1}{16}$4). $\frac{1}{32}$
Answer» OPTION 1 : - $\FRAC{1}{8}$

Discussion

103.	If $\sqrt[3]{3^{n}}$ = 27 , then the value of n is :1). 92). 63). 14). 3
Answer» 9 is the ANSWER

Discussion

104.	$\frac{0.04}{0.03}$ of $\frac{\left(3\frac{1}{3}-2\frac{1}{2}\right)+\frac{1}{2} of 1\frac{1}{4}}{\frac{1}{3}+\frac{1}{5} of \frac{1}{9}}$1). 12). 53). $\frac{1}{5}$4). $\frac{1}{2}$
Answer» 5 : SEEMS CORRECT

Discussion

105.	$\sqrt{64009}$ is equal to1). 3522). 5233). 2534). 532
Answer» OPTION 3 is the RIGHT ONE

Discussion

106.	If $\left[4-\frac{5}{1+\frac{1}{3+\frac{1}{2+\frac{1}{4}}}}\right]$th part of a journey takes 10 minutes ,then to complete $\frac{3}{5}$ th of that journey, it will take1). 40 minutes2). 45 minutes3). 48 minutes4). 36 minutes
Answer» HELLO, 45 MINUTES is CORRECT

Discussion

107.	If the cube root of 79507 is 43, then the value of $\sqrt[3]{79.507}+\sqrt[3]{0.079507}+\sqrt[3]{0.000079507}$ is :1). 0.47732). 477.33). 47.734). 4.773
Answer» HELLO, 4.773 is CORRECT

Discussion

108.	By what least number should 675 be multiplied so as to obtain a perfect cube number 1). 32). 53). 244). 40
Answer» Its TOUGH but OPTION 2 SEEMS CORRECT

Discussion

109.	$\frac{17}{15}\times \frac{17}{15}+\frac{2}{15}\times \frac{2}{15}-\frac{17}{15}\times \frac{4}{15}$ is equal to1). 02). 13). 104). 11
Answer» CORRECT ANSWER is: 1

Discussion

110.	$\frac{0.3555\times 0.5555\times 2.025}{0.225\times 1.7775\times 0.2222}$is equal to1). 5.42). 4.583). 4.54). 5.45
Answer» 4.58

Discussion

111.	The value of $\frac{(0.03)^{2} -(0.01)^{2}}{0.03-0.01}$is1). 0.022). 0.0043). 0.44). 0.04
Answer» This QUESTION was ASKED some where in previous YEAR papers of SSC, and correct answer was OPTION 4

Discussion

112.	The value of $(3+\sqrt{8})+\frac{1}{3-\sqrt{8}}-(6+4\sqrt{2})$ is1). 82). 13). $\sqrt{2}$4). 0
Answer» Its TOUGH but OPTION 4 SEEMS CORRECT

Discussion

113.	By which smallest number 1323 must be multiplied , so that it becomes a perfect cube1). 22). 33). 54). 7
Answer» OPTION 4 : SEEMS CORRECT

Discussion

114.	Sum of digits of the smallest number by which 1440 be multiplied so that It becomes a perfect cube, is1). 42). 63). 74). 8
Answer» OPTION 2 is the RIGHT ANSWER

Discussion

115.	The smallest natural number, by which 3000 must be divided to make the quotient a perfect cube, is :1). 32). 43). 54). 6
Answer» 3 : - OPTION 1

Discussion

116.	The square root of $\frac{0.324\times 0.081\times 4.624}{1.5625\times 0.0289\times 72.9\times 64}$ is :1). 242). 2.43). 0.0244). 1.2
Answer» i THINK OPTION 3 is CORRECT

Discussion

117.	The sum of the digits of the smallest number which, when multiplied by 1800. gives a perfect cube, is :1). 22). 33). 64). 8
Answer» it from previous YEAR SSC PAPERS, 3 is the right ANSWER

Discussion

118.	The simplification of $\frac{1}{8}+\frac{1}{8^{2}}+\frac{1}{8^{3}}+\frac{1}{8^{4}}+\frac{1}{8^{5}}$ upto three-places of decimals yields1). 0.1432). 0.1633). 0.2154). 0.715
Answer» RIGHT ANSWER for this QUESTION is OPTION 1

Discussion

119.	How many positive integers less than 1000 are multiples of 11 whose square roots are whole numbers.1). 22). 43). 84). 11
Answer» 2 is the ANSWER

Discussion

120.	$\sqrt{110\frac{1}{4}}$ is equal to1). 12.02). 11.53). 11.04). 10.5
Answer» 10.5 is the BEST SUITED

Discussion

121.	$\left(\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+\frac{1}{9.11}+\frac{1}{11.13}+\frac{1}{13.15}\right)$ is equal to1). $\frac{2}{45}$2). $\frac{4}{45}$3). $\frac{7}{45}$4). $\frac{2}{15}$
Answer» $\FRAC{2}{15}$ is the ANSWER

Discussion

122.	Find the value of $\sqrt{248+\sqrt{52+\sqrt{144}}}$1). -162). $\pm 16$3). 164). 16.2
Answer» I am not SURE, MAY be $\PM 16$ is CORRECT

Discussion

123.	The sum of the squares of two positive integers is 100 and the difference of their squares is 28. The sum of the numbers is :1). 122). 133). 144). 15
Answer» I have READ it SOMEWHERE 13 is CORRECT

Discussion

124.	Find the value of * tn the following $1\frac{2}{3}+\frac{2}{3}\times \frac{*}{7}$ = $1\frac{1}{4}\times \frac{2}{3}+\frac{1}{6}$1). $\frac{1}{6}$2). 0.63). 0.0064). 6
Answer» it from previous year SSC PAPERS, 6 is the right ANSWER

Discussion

125.	If the sum of two numbers is 22 and the sum of their squares is 404, then the product of the numbers is1). 402). 443). 804). 88
Answer» 40 is the correct ANSWER as PER the ssc answer KEY

Discussion

126.	The positive square root of[0.6 x 0.6 x 0.6 + 0.4 x 0.4 x 0.4 + 3 x 0.6 x 0.4\| is equal to1). 2.17362). 13). 0.217364). 0.072
Answer» CORRECT ANSWER is: 1

Discussion

Explore topic-wise InterviewSolutions in .

If the product of four consecutive natural numbers increased by a natural number p, is a perfect square; then the value of p is1). 82). 43). 24). 1

The value of $4-\frac{1}{1+\frac{1}{3+\frac{1}{2+\frac{1}{4}}}}$is1). $\frac{1}{8}$2). $\frac{1}{64}$3). $\frac{1}{16}$4). $\frac{1}{32}$

If $\sqrt[3]{3^{n}}$ = 27 , then the value of n is :1). 92). 63). 14). 3

$\frac{0.04}{0.03}$ of $\frac{\left(3\frac{1}{3}-2\frac{1}{2}\right)+\frac{1}{2} of 1\frac{1}{4}}{\frac{1}{3}+\frac{1}{5} of \frac{1}{9}}$1). 12). 53). $\frac{1}{5}$4). $\frac{1}{2}$

$\sqrt{64009}$ is equal to1). 3522). 5233). 2534). 532

If $\left[4-\frac{5}{1+\frac{1}{3+\frac{1}{2+\frac{1}{4}}}}\right]$th part of a journey takes 10 minutes ,then to complete $\frac{3}{5}$ th of that journey, it will take1). 40 minutes2). 45 minutes3). 48 minutes4). 36 minutes

If the cube root of 79507 is 43, then the value of $\sqrt[3]{79.507}+\sqrt[3]{0.079507}+\sqrt[3]{0.000079507}$ is :1). 0.47732). 477.33). 47.734). 4.773

By what least number should 675 be multiplied so as to obtain a perfect cube number 1). 32). 53). 244). 40

$\frac{17}{15}\times \frac{17}{15}+\frac{2}{15}\times \frac{2}{15}-\frac{17}{15}\times \frac{4}{15}$ is equal to1). 02). 13). 104). 11

$\frac{0.3555\times 0.5555\times 2.025}{0.225\times 1.7775\times 0.2222}$is equal to1). 5.42). 4.583). 4.54). 5.45

The value of $\frac{(0.03)^{2} -(0.01)^{2}}{0.03-0.01}$is1). 0.022). 0.0043). 0.44). 0.04

The value of $(3+\sqrt{8})+\frac{1}{3-\sqrt{8}}-(6+4\sqrt{2})$ is1). 82). 13). $\sqrt{2}$4). 0

By which smallest number 1323 must be multiplied , so that it becomes a perfect cube1). 22). 33). 54). 7

Sum of digits of the smallest number by which 1440 be multiplied so that It becomes a perfect cube, is1). 42). 63). 74). 8

The smallest natural number, by which 3000 must be divided to make the quotient a perfect cube, is :1). 32). 43). 54). 6

The square root of $\frac{0.324\times 0.081\times 4.624}{1.5625\times 0.0289\times 72.9\times 64}$ is :1). 242). 2.43). 0.0244). 1.2

The sum of the digits of the smallest number which, when multiplied by 1800. gives a perfect cube, is :1). 22). 33). 64). 8

The simplification of $\frac{1}{8}+\frac{1}{8^{2}}+\frac{1}{8^{3}}+\frac{1}{8^{4}}+\frac{1}{8^{5}}$ upto three-places of decimals yields1). 0.1432). 0.1633). 0.2154). 0.715

How many positive integers less than 1000 are multiples of 11 whose square roots are whole numbers.1). 22). 43). 84). 11

$\sqrt{110\frac{1}{4}}$ is equal to1). 12.02). 11.53). 11.04). 10.5

$\left(\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+\frac{1}{9.11}+\frac{1}{11.13}+\frac{1}{13.15}\right)$ is equal to1). $\frac{2}{45}$2). $\frac{4}{45}$3). $\frac{7}{45}$4). $\frac{2}{15}$

Find the value of $\sqrt{248+\sqrt{52+\sqrt{144}}}$1). -162). $\pm 16$3). 164). 16.2

The sum of the squares of two positive integers is 100 and the difference of their squares is 28. The sum of the numbers is :1). 122). 133). 144). 15

Find the value of * tn the following $1\frac{2}{3}+\frac{2}{3}\times \frac{*}{7}$ = $1\frac{1}{4}\times \frac{2}{3}+\frac{1}{6}$1). $\frac{1}{6}$2). 0.63). 0.0064). 6

If the sum of two numbers is 22 and the sum of their squares is 404, then the product of the numbers is1). 402). 443). 804). 88

The positive square root of[0.6 x 0.6 x 0.6 + 0.4 x 0.4 x 0.4 + 3 x 0.6 x 0.4| is equal to1). 2.17362). 13). 0.217364). 0.072