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# Expected Simplification Questions For SBI Clerk PDF

Download SBI Clerk Expected Simplification Questions & Answers PDF for SBI Clerk Prelims and Mains exam. Very Important SBI Clerk Expected Simplification questions with solutions.

Instructions

What will come in place of the question mark (?) in the following questions?

Question 1: $\frac{21}{25} \times \frac{75}{56} \times \frac{32}{33} = ?$

a) $3\frac{1}{11}$

b) $1\frac{3}{11}$

c) $1\frac{1}{11}$

d) $2\frac{1}{11}$

e) None of these

Instructions

What value should come in place of the question mark (?) in the following questions?

Question 2: 102-(91-(83-(76-17-61))) is equal to?

a) 69

b) 76

c) 83

d) 96

e) 104

Instructions

What will come in place of question mark ‘?’ in the following questions?

Question 3: $6\times 13+6+11-36\div 12$ =?

a) 29

b) 36

c) 64

d) 78

e) 92

Question 4: $\frac{4}{9} * \frac{18}{7} * (\frac{14}{3} * 1.5)$ = ?

a) 8

b) 9

c) 12

d) 16

e) 21

Instructions

Find the approximate value of the number which should replace (?) in the following questions.

Question 5: $18.02*21.98 +\sqrt[3]{4923}*2.969 = ?$

a) 487

b) 397

c) 429

d) 447

e) 477

Instructions

Instructions: What approximate value will come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value.)

Question 6: $4\frac{1}{5} + 5\frac{5}{6} \times \frac{24}{7} \times 2\frac{4}{5}$ = ?

a) 60

b) $60\frac{1}{5}$

c) 44.8

d) 72.6

e) None of these

Question 7: What will come in the place of question mark (?) in the following equation ?
$16^{7.5}\div8^{3.5}\div2^{7.5}$=?

a) $8^{4}$

b) $16^{4}$

c) $2^{15}$

d) $2^{27}$

e) None of these

Instructions

What should come in place of the question mark (?) in the following question ?

Question 8: $\frac{57}{67}\times\frac{32}{171}\times\frac{45}{128}=?$

a) $\frac{15}{262}$

b) $\frac{15}{268}$

c) $\frac{15}{266}$

d) $\frac{17}{268}$

e) None of these

Instructions

What should come in place of the question mark (?) in the following question ?

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

Question 10: ?% of 5600¬28% of 3500=1988

a) 58

b) 55

c) 51

d) 53

e) None of these

Instructions

In the following questions, what will come in the place of the question mark (?)

Question 11: $\dfrac{ \sqrt{4225} * \sqrt{?} }{ \sqrt{6400} }$ = 13

a) 225

b) 250

c) 256

d) 275

e) Can’t be determined

Try to see this question with little arrangement to simplify calculation :

= $\frac{21}{25} \times \frac{75}{56} \times \frac{32}{33}$ = $\frac{21}{33} \times \frac{75}{25} \times \frac{32}{56}$

= $\frac{7}{11}\times\frac{3}{1}\times\frac{4}{7}$

= $\frac{12}{11}$

= $1\frac{1}{11}$

Hence option C is correct

When we solve questions involving multiple brackets, we solve the inside brackets first and gradually simplify the outer brackets.
(76-17-61) = 59 – 61 = -2

So,102-(91-(83-(76-17-61))) = 102-(91-(83-(-2)))

Minus of a negative number = positive value of the same number.
So, -(-2) = +2

Hence, 102-(91-(83-(-2))) = 102-(91-(85)) = 102 – 6 = 96

$6\times 13+6+11-36\div 12$ =?
By B.O.D.M.A.S rule, we have to follow Brackets first, followed by “Of”, followed by division, followed by multiplication, followed by multiplication, followed by addition and finally subtraction.
So, $6\times 13+6+11-36\div 12$ becomes $6\times 13+6+11-3$(We simplify division first as there are no brackets or “of”)
$6\times 13+6+11-3$ then becomes 78 + 6 + 11 – 3 after we simplify multiplication
Then we simplify addition to get 95 – 3 = 92

We have to simplify: $\frac{4}{9} * \frac{18}{7} * \frac{14}{3} * 1.5$
So, the simplified value is $\frac{4}{9} * \frac{18}{7}$ * 14 * 0.5 = $\frac{4}{9} * \frac{18}{7}$ * 7
Cancelling out the 7, we get $\frac{4}{9}$ * 18
So, the simplified value is 4 * 2 = 8

We can approximate $18.02 \approx 18$ and $21.98 \approx 22$
Similarly, note that $17^3 = 4913$. Hence, $\sqrt[3]{4923}\approx 17$
And, $2.969 \approx 3$
Using the above approximations, we can simplify the expression to the below value.
$18*22 + 17*3 = 396 + 51= 447$

We use BEDMAS rule to simplify the expression. We perform multiplication first.
Hence, expression = $4\frac{1}{5} + 5\frac{5}{6} \times \frac{24}{7} \times 2\frac{4}{5}$ = $4\frac{1}{5} + \frac{35*24*14}{6*7*5}$ = $4\frac{1}{5} + 4*14$ = $4\frac{1}{5} + 56$ = $60\frac{1}{5}$ .

As $16,8,2$ are all exponents of $2$, let us simplify the expression to the powers of 2.

$16^{7.5} = (2^4)^{7.5} = 2^{30}$
$8^{3.5} = (2^3)^{3.5} = 2^{10.5}$

Hence, the given expression looks like this $2^{30} \div 2^{10.5} \div 2^{7.5} = 2^{30-10.5-7.5} = 2^{12} = 8^4$

Hence, the correct answer is option (a)

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)

$\frac{5}{8}+\frac{1}{4}+\frac{7}{12}=?$

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

$1\frac{11}{24}$

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