Simplification Questions for SBI Clerk PDF
Download SBI Clerk Simplification Questions & Answers PDF for SBI Clerk Prelims and Mains exam. Very Important SBI Clerk Simplification Questions with solutions.
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Instructions: What will come in place of the question mark (?) in the following questions?
Question 1: (4444÷40) + (645÷25) + (3991÷26) = ?
a) 280.4
b) 290.4
c) 295.4
d) 285.4
e) None of these
Question 2: 5$\frac{17}{37}$ × 4$\frac{51}{52}$ × 11$\frac{1}{7}$ + 2$\frac{3}{4}$ = ?
a) 303.75
b) 305.75
c) 303$\frac{3}{4}$
d) 305$\frac{1}{4}$
e) None of these
Question 3: $ 125^{4} \div 25^{4} * 5 ^{5} = 5 ^{?} $
a) 7
b) 9
c) 11
d) 13
e) none of the above
Question 4: $ \frac{1}{7}$ of $2\frac{5}{8} \div \frac{3}{4} + \frac{1}{3} + \frac{1}{6}$
a) 1
b) 0
c) $\frac{1}{7}$
d) 2
e) None of the above
Question 5: 33.33% of 150 + 66.66% of 180 = ?% of 1700
a) 30
b) 25
c) 20
d) 10
e) 15
Question 6: What is the value of (x) in the following equation ?
$ \frac { x ^ {1.2}}{98} = \frac {28}{x^{1.8}}$
a) 18
b) 12
c) 16
d) 14
e) None of these
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Instructions
What should come in place of question mark (?) in the following questions ?
Question 7: $ (96)^{2}+(63)^{2}=(?)^{2}-(111)^{2}-8350$
a) 33856
b) 30276
c) 174
d) 184
e) None of these
Instructions
What approximate value should come in place of question mark (?) in the following question ? (you are not expected to calculate the exact value )
Question 8: $(9795+7621+938)\div(541+831+496)= ?$
a) 9
b) 13
c) 17
d) 23
e) 29
Instructions
What will come in place of question mark (?) in the following questions:
Question 9: $25\cdot05\times123\cdot95+388\cdot999\times15\cdot001=?$
a) 900
b) 8950
c) 8935
d) 8975
e) 8995
Instructions
What will come in the place of question mark(?) in the given questions?
Question 10: $4\frac{1}{2}+(1\div2\frac{8}{9})-3\frac{1}{13}=?$
a) $1\frac{9}{26}$
b) $2\frac{7}{13}$
c) $1\frac{11}{26}$
d) $2\frac{4}{13}$
e) $1\frac{10}{13}$
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Question 11: ${(441)^{1/2}\times207\times(343)^{1/3}}\div((14)^{2}\times(529)^{1/2})$ = ?
a) 5.75
b) 6.75
c) 7.75
d) 6.25
e) 6.50
Question 12: $(3\frac{3}{8}\times6\frac{5}{12})-(2\frac{3}{16}\times3\frac{1}{2})=?$
a) 21
b) 18
c) 14
d) 15
e) 16
Instructions
What should come in place of the question mark (?) in the following questions?
Question 13: $(4\times4\times4\times4\times4\times4)^{5}\times(4\times4\times4)^{8}\div(4)^{3}=(64)^?$
a) 17
b) 10
c) 16
d) 11
e) None of these
Question 14: What will come in the place of both question marks (?) in the following question?
$\frac{(?)^{1.8}}{32}=\frac{16}{(?)^{1.2}}$
a) 16
b) 64
c) 2
d) 4
e) 8
Instructions
What will come in place of question mark (?) in the given questions?
Question 15: $\frac{\sqrt{\frac{81}{25}} – \sqrt{\frac{144}{121}}}{\sqrt{\frac{1681}{484}}}$
a) 1/25
b) 3/11
c) 78/205
d) 2/5
e) 81/205
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Answers & Solutions:
1) Answer (B)
$\frac{4444}{40}$ = 111.1
$\frac{645}{25}$ = 25.8
$\frac{3991}{26}$ = 153.5
Total = 111.1 + 25.8 + 153.5 = 290.4
2) Answer (B)
5$\frac{17}{37}$ = $\frac{202}{37}$
4$\frac{51}{52}$ = $\frac{259}{52}$
11$\frac{1}{7}$ = $\frac{78}{7}$
2$\frac{3}{4}$ = $\frac{11}{4}$
$\frac{202}{37}$ x $\frac{259}{52}$ x $\frac{78}{7}$ = 303
303 + $\frac{11}{4}$ = 305.75
3) Answer (B)
$125^{4} is equal to 5^{12} and 25^{4} is equal to 5^{8}$
4) Answer (A)
$\frac{1}{7}$ of $2\frac{5}{8} \div \frac{3}{4}$ = 0.5
5) Answer (D)
As we can see that 33.33% of 150 will be $\frac{1}{3}$ of 150 i.e. 50 and 66.66% of 180 will be $\frac{2}{3}$ of 180 i.e. 120
Hence, sum will be = 170 which will be 10% of 1700.
So answer will be d
6) Answer (D)
The question can be reframed as,
$x^{1.2}\times x^{1.8}$ = 98*28 = 14*7*7*4= 7*7*7*8
x^3=7*7*7*8
Hence, x = 7*2 = 14
7) Answer (D)
Let the number in the question mark be X.
So, $X^2 = 96^2 + 63^2 + 111^2 + 8350$
So, $X^2 = 9216 + 3969 + 12321 + 8350 = 33856 = 184^2$
So, $X = 184 $
8) Answer (A)
The numerator in the given fraction equals 9795+7621+938 = 18354
The denominator in the given fraction equals 541+831+496 = 1868
So, the given ratio becomes 18354/1868 = 9.82 ~ 9
9) Answer (C)
Here we are approximating 25.05~25, 123.95~124, 388.99~389, 15.001~15.
The question can be rewritten as,
25*123+388*15=8935
Hence the correct option is 8935.
10) Answer (E)
Given equation can be written as the following:
$\frac{9}{2} + \frac{9}{26} – \frac{40}{13} = \frac{46}{26}$
= $\frac{23}{13}$
Hence, answer will be E
11) Answer (B)
Given equation can be written as follows:
$(21 \times 207 \times 7) \div (196 \times 23)$ = $\frac{189}{28}$ = 6.75
12) Answer (C)
Given equation can be written as following:
$(\frac{27}{8} \times \frac{77}{12}) – (\frac{35}{16} \times \frac{7}{2})$
$\frac{693-245}{32} = 14$
13) Answer (A)
The simplified expression equals $(4\times4\times4\times4\times4\times4)^{5}\times(4\times4\times4)^{8}\div(4)^{3}= (4^6)^5 \times (4^3)^8 \div 4^3 = 4^{30} \times 4^{24} \div 4^3 = 4^{30+24-3} = 4^{51}$
$64 = 4^3$
So, $4^{51} = 4^{3 \times 17} = (4^3)^{17} = 64^{17}$
Hence the correct answer is 17
14) Answer (E)
Let the number in the question mark be ‘$x$’
So, $\frac{x^{1.8}}{32}=\frac{16}{x^{1.2}}$
So, $x^{1.8+1.2}=32*16=8^3$
So, $x^3 = 8^3$
Hence, $x=8$
15) Answer (C)
$\frac{\sqrt{\frac{81}{25}} – \sqrt{\frac{144}{121}}}{\sqrt{\frac{1681}{484}}}$ = $\frac{{\frac{9}{5}} – \frac{12}{11}}{\frac{41}{22}}$
= (39/55)/(41/22)
= (39*22)/(55*41)
= 78/205
Option C is the correct answer.