Explore topic-wise InterviewSolutions in .

This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

101.

The value of $(\sqrt[3]{3.5}+\sqrt[3]{2.5})\left\{(\sqrt[3]{3.5})^{2}-\sqrt[3]{8.75}+(\sqrt[3]{2.5})^{2}\right\}$ is :1). 5.3752). 13). 64). 5

Answer» 1 SEEMS CORRECT.
102.

The greatest of $\sqrt{2}$ ,$\sqrt[6]{3}$,$\sqrt[3]{4}$,$\sqrt[4]{5}$ is1). $\sqrt{2}$2). $\sqrt[6]{3}$3). $\sqrt[3]{4}$4). $\sqrt[4]{5}$

Answer»

Its TOUGH but OPTION 3 SEEMS CORRECT

103.

$2+\frac{6}{\sqrt{3}}+\frac{1}{2+\sqrt{3}}+\frac{1}{\sqrt{3}-2}$ is equal to :1). $+(2\sqrt{3})$2). $-(2+\sqrt{3})$3). 14). 2

Answer» 2 : - OPTION 4
104.

If $\sqrt{5329}$ = 73, then the value $\sqrt{5329}+\sqrt{53.29}+\sqrt{0.5329}+\sqrt{0.005329}+\sqrt{0.00005329}$ is :1). 81.10032). 81.01133). 81.11034). 811013

Answer»

$73 + 7.3 + 0.73 + 0.073 + 0.0073 = 81.1103$

HENCE OPTION (3) is the correct answer

105.

If $\sqrt{3}$ = 1.732 is given , then the value of $\frac{2+\sqrt{3}}{2-\sqrt{3}}$ is :1). 11.7322). 13.9283). 12.9284). 13.925

Answer»

13.928 is the ANSWER

106.

Evaluate : $6\sqrt{\frac{3}{4}}-9\sqrt{\frac{4}{3}}$ , If $\sqrt{12}$=3.461). 3.462). 10.383). 13.844). 24.22

Answer»

I am not SURE, MAY be 3.46 is CORRECT

107.

Given that $\sqrt{5}$ =2.236 and $\sqrt{3}$ =1.732,the value of $\frac{1}{\sqrt{5}+\sqrt{3}}$ is1). 0.5042). 0.2523). 0.3624). 0.372

Answer» OPTION 2 : 0.252 is CORRECT
108.

Given that $\sqrt{5}$ =2.24, then the value of $\frac{3\sqrt{5}}{2\sqrt{5}-0.48}$ is1). 0.1682). 1.683). 16.84). 168

Answer»

1.68 is the ANSWER

109.

The value of $\frac{\sqrt{72}\times \sqrt{363}\times \sqrt{175}}{\sqrt{32}\times \sqrt{147}\times \sqrt{252}}$ is :1). $\frac{55}{42}$2). $\frac{45}{56}$3). $\frac{45}{28}$4). $\frac{55}{28}$

Answer»

$\frac{55}{28}$ : OPTION 4 is the correct ANSWER

110.

Given that $\sqrt{3}$ =1.732, then the value of $\frac{3 + \sqrt{6}}{5\sqrt{3}-2\sqrt{12}-\sqrt{32}+\sqrt{50}}$ is :1). 4.8992). 2.5513). 1.4144). 1.732

Answer»

it from previous YEAR ssc papers, OPTION 4 is the RIGHT answer

111.

$(64)^{-\frac{2}{3}}\times \left(\frac{1}{4}\right)^{-2}$is equal to :1). 12). 23). $\frac{1}{2}$4). $\frac{1}{16}$

Answer» RIGHT ANSWER is 1
112.

$\frac{0.3555\times 0.5555\times 2.025}{0.225\times 1.7775\times02222}$ is equal to :1). 5.42). 4.583). 4.54). 5.45

Answer»

it from PREVIOUS YEAR SSC papers, 4.58 is the right ANSWER

113.

If $\sqrt{7}$ = 2.646, then the value of $\frac{1}{\sqrt{28}}$ upto three places of decimal is :-1). 0.1832). 0.1853). 0.1874). 0.189

Answer»

This QUESTION was asked some where in previous year papers of SSC, and correct ANSWER was option 4

114.

The value of$\left[\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}-\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}\right]$1). $\sqrt{111}$2). 93). 74). 11

Answer» OPTION option 3 is the CORRECT ANSWER
115.

$\left[\sqrt[3]{2}\times \sqrt{2}\times \sqrt[3]{3}\times \sqrt{3}\right]$ is equal to1). $6^{5}$2). $6^{\frac{5}{6}}$3). 64). None of these

Answer»

$6^{\frac{5}{6}}$ : - is CORRECT HENCE OPTION 2

116.

$\left[\frac{1}{\sqrt{2}+\sqrt{3}-\sqrt{5}}+\frac{1}{\sqrt{2}-\sqrt{3}-\sqrt{5}}\right]$ in simplified form equals to :1). 12). $\sqrt{2}$3). $\frac{1}{\sqrt{2}}$4). 0

Answer»

is OPTION 3 is the CORRECT ANSWER am i RIGHT

117.

$(0.04)^{-1.5}$ on simplification gives :1). 252). 1253). 2504). 625

Answer» CORRECT ANSWER is: 125
118.

$(0.01024)^{\frac{1}{5}}$ is equal to :1). 4.02). 0.043). 0.44). 0.00004

Answer»

i THINK OPTION 3 is CORRECT

119.

If a = $\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}$ , b = $\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$, then the value of $\frac{a^{2}}{b}+\frac{b^{2}}{a}$ is :1). 10302). 10253). 9704). 930

Answer» OPTION 3 : - 1025
120.

If $\frac{(x-\sqrt{24})(\sqrt{75}+\sqrt{50})}{\sqrt{75}-\sqrt{50}}$=1 , then the value of x is1). $\sqrt{5}$2). 53). $2\sqrt{5}$4). $3\sqrt{5}$

Answer»

This QUESTION was asked some where in previous YEAR papers of SSC, and CORRECT answer was option 2

121.

$\frac{2.3\times 2.3\times 2.3-1}{23\times 2.3+ 2.3+1}$ is equal to :1). 1.32). 3.33). 0.34). 2.2

Answer»

I THINK OPTION 1 is the RIGHT ANSWER

122.

The greatest among the numbers $3\sqrt{2}$,$3\sqrt{7}$,$6\sqrt{5}$,$2\sqrt{20}$, is:1). $3\sqrt{2}$2). $3\sqrt{7}$3). $6\sqrt{5}$4). $2\sqrt{20}$

Answer» RIGHT ANSWER is $3\sqrt{7}$
123.

Simplified form of $\left[\left(\sqrt[5]{x^{\frac{-3}{5}}}\right)^{\frac{-5}{3}}\right]^{5}$ is :1). $x^{5}$2). $x^{-5}$3). x4). $\frac{1}{x}$

Answer»

it from previous YEAR SSC PAPERS, $x^{-5}$ is the right ANSWER

124.

(6.5 x 6.5 - 45.5 + 3.5 x 3.5) is equal to :1). 102). 93). 74). 6

Answer» 9
125.

Simplify : $\frac{0.05\times 0.05\times 0.05- 0.04\times 0.04\times 0.04}{0.05 \times 0.05 + 0.002 +0.04\times 0.04}$1). 12). 0.13). 0.014). 0.001

Answer» OPTION 3 is the RIGHT ANSWER
126.

The greatest of the following numbers 0.16,$\sqrt{0.16}$,$(0.16)^{2}$, 0.04 is :1). 0.162). $\sqrt{0.16}$3). 0.044). $(0.16)^{2}$

Answer»

This QUESTION was asked some where in previous year PAPERS of ssc, and CORRECT ANSWER was option 2

127.

[8.7 x 8.7 + 2 x 8.7 x 1.3 + 1.3 x 1.3] is equal to :1). 1.692). 103). 75.694). 100

Answer» OPTION 4 : - 100
128.

$\left[\frac{(0.73)^{3} +(0.27)^{3}}{(0.73)^{2} + (0.27)^{2} -(0.73) \times (027)}\right]$ simplifies to1). 12). 0.40873). 0.734). 0.27

Answer» ANSWER for this QUESTION is 1
129.

The value of $\frac{(243)^{0.13}\times (243)^{0.07}}{(7)^{0.25}\times (49)^{0.075}\times (343)^{0.2}}$1). $\frac{3}{7}$2). $\frac{7}{3}$3). $1\frac{3}{7}$4). $2\frac{2}{7}$

Answer» HELLO, $\FRAC{3}{7}$ is CORRECT
130.

The total number of prime factors in $4^{10}+7^{3}+16^{2}+11+10^{2}$ is :-1). 342). 353). 364). 37

Answer» OPTION 3 : SEEMS CORRECT
131.

The square root of $\left(\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}\right)$ is :1). $\sqrt{3}+\sqrt{2}$2). $\sqrt{3}-\sqrt{2}$3). $\sqrt{2}\pm\sqrt{3}$4). $\sqrt{2}-\sqrt{3}$

Answer»

I am not sure, MAY be $\SQRT{3}+\sqrt{2}$ is correct

132.

A rationalising factor of $(\sqrt[3]{9}-\sqrt[3]{3}+1)$ is :1). $\sqrt[3]{3}-1$2). $\sqrt[3]{3}+1$3). $\sqrt[3]{9}+1$4). $\sqrt[3]{9}-1$

Answer» RIGHT ANSWER for this QUESTION is OPTION 2
133.

The rationalising factor of $3\sqrt{3}$ is :1). $\frac{1}{3}$2). 33). -34). $\sqrt{3}$

Answer» OPTION 4 : - $\SQRT{3}$
134.

The number of prime factors in $6^{333}\times 7^{222}\times 8^{111}$1). 12212). 12223). 11114). 1211

Answer»

1221 : SEEMS CORRECT

135.

By how much does $5\sqrt{7}-2\sqrt{5}$ exceed $3\sqrt{7}-4\sqrt{5}$1). $5(\sqrt{7}+\sqrt{5})$2). $\sqrt{7}+\sqrt{5}$3). $2(\sqrt{7}+\sqrt{5})$4). $7(\sqrt{2}+\sqrt{5})$

Answer» ANSWER for this QUESTION is $\SQRT{7}+\sqrt{5}$
136.

If $\frac{\sqrt{7}-1}{\sqrt{7}+1}-\frac{\sqrt{7}+1}{\sqrt{7}-1}$ = $a+\sqrt{7}b$,then the values of a and b are respectively1). $\sqrt{7}$ , -12). $\sqrt{7}$ , 13). 0, $-\frac{2}{3}$4). $-\frac{2}{3}$, 0

Answer»

$\sqrt{7}$ , 1 is the CORRECT ANSWER as PER the ssc answer key

137.

The value of $\frac{1}{1+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{4}}+\frac{1}{\sqrt{4}+\sqrt{5}}+.........+\frac{1}{\sqrt{8}+\sqrt{9}}$1). 12). 03). 24). $\sqrt{2}$

Answer» 0 : OPTION 3 is the CORRECT ANSWER
138.

The value of $\frac{(0.67\times 0.67\times 0.67)-(0.33\times 0.33\times 0.33)}{(0.67\times 0.67)-(0.67\times 0.33)-(0.33\times 0.33)}$is1). 112). 1.13). 3.44). 0.34

Answer» HELLO, 0.34 is CORRECT
139.

$(256)^{0.16}\times (4)^{0.36}$ is equal to :1). 642). 163). 256.254). 4

Answer» ANSWER for this QUESTION is OPTION 4
140.

The value of $\frac{1}{\sqrt{2}+1}+\frac{1}{\sqrt{3}+\sqrt{2}}+\frac{1}{\sqrt{4}+\sqrt{3}}+.........+\frac{1}{\sqrt{100}+\sqrt{99}}$ is :1). 12). 93). $\sqrt{99}$4). $\sqrt{99}-1$

Answer»

option 2 is the correct answer as PER the answer KEY

141.

The value of $\frac{64 - 0.008}{16 + 0.8 + 0.04}$ is :1). 22). 3.83). 0.64). 4.2

Answer»

$ \LARGE \FRAC{64-0.008}{16+0.8+0.04} $

=$ \Large \frac{ \left(4\right)^{3}- \left(0.2\right)^{2}}{ \left(4\right)^{2}+4 \TIMES 0.2+ \left(0.2\right)^{2}} $

=$ \Large \frac{ \left(4-0.2\right) \left(4^{2}+0.2^{2}+4 \times 0.2\right)}{4^{2}+4 \times 0.2+0.2^{2}} $

=$ \Large 4-0.2=3.8 $

142.

$2\sqrt[3]{34}-3\sqrt[3]{4}+\sqrt[3]{500}$ is equal to1). $4\sqrt[3]{6}$2). $3\sqrt{24}$3). $6\sqrt[3]{4}$4). 916

Answer»

$3\sqrt{24}$

143.

Simplify : $\frac{5.32\times 56 + 5.32\times 44}{(7.66)^{2}-(2.34)^{2}}$1). 7.22). 8.53). 104). 12

Answer»

This question was ASKED some where in PREVIOUS year papers of ssc, and correct ANSWER was OPTION 3

144.

$\frac{3+\sqrt{6}}{5\sqrt{3}-2\sqrt{12}-\sqrt{32}+\sqrt{50}}$ is equal to1). 32). $\sqrt{3}$3). $3\sqrt{2}$4). $2\sqrt{3}$

Answer»

$\SQRT{3}$ SEEMS CORRECT.

145.

$\frac{(3.06)^{3}-(1.98)^{3}}{(3.06)^{2} + 3.06\times 1.98 + (1.98)^{2}}$is equal to :1). 1.082). 5.043). 2.164). 1.92

Answer» OPTION 1 : 1.08 is CORRECT
146.

$\frac{137\times 137+133\times 133+18221}{137\times 137\times 137-133\times 133\times 133}$ is equal to :1). 42). 2703). $\frac{1}{4}$4). $\frac{1}{270}$

Answer» 270 : SEEMS CORRECT
147.

The value of $(3+2\sqrt{2})^{-3}+ (3-2\sqrt{2})^{-3}$ is :1). 1892). 1803). 1084). 198

Answer» 198 SEEMS CORRECT.
148.

Let $\sqrt[3]{a}$ = $\sqrt[3]{26}+\sqrt[3]{7}+\sqrt[3]{63}$ , then1). a < 729 but a > 2162). a < 2163). a > 7294). a = 729

Answer» CORRECT answer is: a < 729 but a > 216
149.

Thc greatest one of $\sqrt{4}$ ,$\sqrt[3]{4}$,$\sqrt[4]{6}$ and $\sqrt[6]{8}$ is1). $\sqrt{3}$2). $\sqrt[3]{4}$3). $\sqrt[4]{6}$4). $\sqrt[6]{8}$

Answer»

it from previous YEAR ssc PAPERS, $\sqrt{3}$ is the RIGHT ANSWER

150.

Among $\sqrt{2}$ ,$\sqrt[3]{3}$ , $\sqrt[4]{5}$ , $\sqrt[3]{2}$, which one is greatest 1). $\sqrt[4]{5}$2). $\sqrt{2}$3). $\sqrt[3]{3}$4). $\sqrt[3]{2}$

Answer» OPTION 1 is the RIGHT ANSWER