Simplification questions for IBPS Clerk Prelims PDF
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Instructions
What should come in place of the question mark (?) in the following question ?
Question 1: 6389-1212-2828= ?
a) 2349
b) 2493
c) 2934
d) 2393
e) None of these
Question 2: $\frac{31}{43}\times\frac{86}{95}\times\frac{41}{93}=?$
a) $\frac{82}{267}$
b) $\frac{82}{283}$
c) $\frac{83}{265}$
d) $\frac{82}{285}$
e) None of these
Question 3: $526\times12+188=50\times ?$
a) 120
b) 160
c) 140
d) 110
e) None of these
Question 4: $62^{2}-32^{2}+(?^{2})=3144$
a) 17
b) 16
c) 19
d) 15
e) None of these
Question 5: $\sqrt[3]{21952}+33=?$
a) 58
b) 61
c) 63
d) 53
e) None of these
Question 6: ?% of 5600¬28% of 3500=1988
a) 58
b) 55
c) 51
d) 53
e) None of these
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Question 7: $32000\times\frac{3}{4}\times?\times\frac{1}{2}=4800$
a) $\frac{2}{3}$
b) $\frac{3}{5}$
c) $\frac{2}{5}$
d) $\frac{1}{4}$
e) None of these
Question 8: $(8536-\sqrt{2209})\times0\cdot3=?$
a) $2556\cdot7$
b) $2456\cdot7$
c) $2546\cdot7$
d) $2645\cdot7$
e) None of these
Question 9: $\frac{5}{8}+\frac{1}{4}+\frac{7}{12}=?$
a) $1\frac{11}{24}$
b) $1\frac{13}{24}$
c) $1\frac{9}{26}$
d) $1\frac{7}{24}$
e) None of these
Instructions
What should come in place of the question mark (?) in the following question ?
Question 10: $\frac{9}{10}+\frac{3}{11}+\frac{7}{15}= ?$
a) $1\frac{217}{330}$
b) $1\frac{221}{330}$
c) $1\frac{211}{330}$
d) $1\frac{197}{330}$
e) None of these
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Question 11: $\sqrt[3]{42875}-?=21$
a) 18
b) 13
c) 15
d) 11
e) None of these
Question 12: $\frac{57}{67}\times\frac{32}{171}\times\frac{45}{128}=?$
a) $\frac{15}{262}$
b) $\frac{15}{268}$
c) $\frac{15}{266}$
d) $\frac{17}{268}$
e) None of these
Question 13: $\frac{1}{4}$th of $\frac{1}{2}$ of $\frac{3}{4}$th of 52000=?
a) 4875
b) 4857
c) 4785
d) 4877
e) None of these
Question 14: $(7921\div178)-5.5=\sqrt{?}$
a) 1512
b) 1521
c) 1251
d) 1531
e) None of these
Question 15: 38% of 4500-25% of ?=1640
a) 260
b) 270
c) 280
d) 290
e) None of these
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Answers & Solutions:
1) Answer (A)
Now, 1212 + 2828 = 4040
Therefore, 6389-4040 = 2349
2) Answer (D)
$\frac{31}{43}\times\frac{86}{95}\times\frac{41}{93}=?$
Can be rewritten as,
$\frac{31}{93}\times\frac{86}{43}\times\frac{41}{95}$
which solves out to be,
$\frac{1}{3}\times\frac{2}{1}\times\frac{41}{95}$
And hence, the answer is,
$\frac{82}{285}$
3) Answer (E)
$526 \times 12 = 6312$
$6312 + 188 = 6500$
Let the number in the question mark be X.
So, $X \times 50 = 6500$
$X = 130$
4) Answer (E)
The question can be reframed as,
$3144-62^{2}+32^{2}=(?^{2})$
$3144-3844+1024=324$
But,
$18^{2}=324$
And hence, none of the above is option.
5) Answer (B)
Here, 21952^(1/3)=28
Now, 28+33= 61
6) Answer (D)
Reframing the question to simplify,
1988+28% of 3500 = 1988+(28*35)
Which reduces to,
1988+980=2968
2968=(x/100)*5600
x=2968/56
x=53
7) Answer (C)
Assuming the unknown quantity to be x,
x * (32000) * (3/4) * (1/2) = 4800
Which reduces to,
x * (32000) *3/8 = 4800
x = 4800*(8/3)*(1/32000)
x = 2/5
8) Answer (C)
$(8536-\sqrt{2209})\times0\cdot3=?$
$(8536-47)\times0\cdot3=?$
$(8489)\times0\cdot3=?$
This reduces to,
8489*(.3) = 2546.7
9) Answer (A)
$\frac{5}{8}+\frac{1}{4}+\frac{7}{12}=?$
Simplifying,
$\frac{7}{8}+\frac{7}{12}=?$
The equation reduces to,
7*{(1/8)+(1/12)}=(35/24)
Now converting $\frac{35}{24}$ to mixed fration, we get
$1\frac{11}{24}$
10) Answer (C)
(9/10)+(3/11)+(7/15) = (129/110) + 7/15 = (1/5)(129/22 +7/3) = 1/5(541/66) = 541/330
Converting 541/330 into mixed fraction we get $1\frac{211}{330}$
11) Answer (E)
Let unknown be x,
$\sqrt[3]{42875}+21=x$
x = 35 – 21 = 14
12) Answer (B)
The expression, on reframing gives, $\frac{57}{171}\times\frac{32}{128}\times\frac{45}{67}$
which on simplifying gives,
(1/4)*(1/3)*(45/67) = (15/268)
13) Answer (A)
In mathematical way, the question is intrepreted as,
(1/4)*(1/2)*(3/4)*52000=(3/32)*52000 = 3*1625 = 4875
14) Answer (B)
Let unknown be x,
$(7921\div178)-5.5=\sqrt{x}$
Hence, x=[(7921/178)-5.5]^2=39^2=1521
15) Answer (C)
Reframing the question by assuming the unknown to be x.
38% of 4500 – 1640 = 25% of x
(x/4) = 1710 – 1640
= 70
x = 280
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