*Hello and welcome to*

**exampundit**. So here is the first set of SBI PO Prelims Quantitative Aptitude Quiz 2017.

__Rules:__1. Answer the following questions in the comment box.

2. Do not give solutions unless you are asked to.

3. Solve it honestly.

4. Highest Scores will be featured.

5. Answers will be updated after 3pm today.

1.(38416) ^¼+2+(2916)^ ½=?×4

(A) 28

(B) 31

(C) 30.5

(D) 31.5

(E) 32

2.120% of 40+27.5% of 520+33.33%of18=?

(A) 231

(B) 178

(C) 211

(D) 197

(E) 171

3. (29) ² × 91 ÷ 7 + (8) ³ + 61 =(?) 3 + 858

(A) 19

(B) 22

(C) 31

(D) 26

(E) 17

4. (15625) ^1.3 × (3125) ^1.25 ÷ (125) ^2 = 5^?

(A) 7.50

(B) 8.05

(C) 6.00

(D) 8.50

(E) 7.05

5. 2√2×3√ 3×5√ 2×9 √3 = ?

(A) 2160

(B) 2260

(C) 1250

(D) 1260

(E) 1620

6.An urn consists of 3 black, 4 white and 5 blue marbles.
Three marbles are drawn randomly. What is the probability that marbles drawn
contains marbles of different colour?

(A) 7/11

(B) 3/8

(C) 7/8

(D) 3/11

(E) None of these

7. 4 boys and 6 girls complete a task in 24 days. If the
girls are at least half as efficient as the boys, but not more efficient than
the boys, what is the range of the number of days for 6 girls and 2 boys to
complete the same task?

(A) 28 to 31 days

(B) 29 to 31 days

(C) 33.6 to 35 days

(D) 30 to 33.6 days

(E) none of these

8. A cistern of 475 litres is completely filled using pipes
A and B, with Pipe A being open for 5 more hours than pipe B. If we are to
interchange the operating hours of the two pipes than pipe A would have pumped
half the water as much as pipe B, then find the time for which pipe B was open.
Also, given that if the two pipes were open simultaneously the tank would fill
in 19 hours.

(A) 10hr

(B) 14hr

(C) 20hr

(D) 16hr

(E) none of these

9. A milkman purchases milk at Rs 20/litre and mixes 4
litres of water in it. By selling the resultant mixture at the rate of Rs
20/litre, he earns a profit of 40%. The amount of mixture he had with him to
sell was?

(A) 10l

(B) 8l

(C) 7l

(D) 14l

(E) none of these

10. If 6 years are subtracted from the present age of Anika
and the remainder is divided by 1818, then the present age of Radika is
obtained. If Radika is 2 years younger to Daizy whose age is 5 years, then
what is Anika present age?

(A) 70 years

(B) 45years

(C) 55years

(D) 60years

(E) 47years

Winners:

Answers with explanations:

1. D

2. D

3. B

4. B

5. E

6. D

P(E)=n(e)/n(s)=4C1×3C1×5C1/12C3=3/11

7. D

4boys and 6girls finish in 24 days.

In one day, 4boys + 6girls = 1/24 of task.

If a girl is half as efficient as boy

4b + 3b = 1/24, 7b = 1/24, b = 1/168

6g + 2b = 3b + 2b = 5b, 5m will take 1685 days = 33.6 days

If a girl is as efficient as a man

4b + 6g finish in 24 days.

10b finish 1/24 of task in a day

6g + 2b = 8b, 8b will take 240/8 = 30 days to finish the task.

So, the range = 30 to 33.6 days. The new team will take 30 to 33.6 days to finish the task

8. D

The 475 litres is filled in 19 hours by the two pipes when they are opened simultaneously.

Therefore, rate of water flow by A and B,

A + B = 47519 = 25 litres/hour………….(1)

Let pipe B was opened for t hours

Then, pipe A was opened for t + 5 hours

A x (t+5) + B x t = 475

(A + B) x t + 5A = 475

25t + 5A = 475

=> 5t + A = 95

Now, using options

t = 16 => 5 x 16 + A = 95 => A = 15

9. D

To earn a profit of 40% at Rs 20/litre,

Cost price = 20/1.4=100/7

Winners:

- Nitu
- Simi

Answers with explanations:

1. D

2. D

3. B

4. B

5. E

6. D

P(E)=n(e)/n(s)=4C1×3C1×5C1/12C3=3/11

7. D

4boys and 6girls finish in 24 days.

In one day, 4boys + 6girls = 1/24 of task.

If a girl is half as efficient as boy

4b + 3b = 1/24, 7b = 1/24, b = 1/168

6g + 2b = 3b + 2b = 5b, 5m will take 1685 days = 33.6 days

If a girl is as efficient as a man

4b + 6g finish in 24 days.

10b finish 1/24 of task in a day

6g + 2b = 8b, 8b will take 240/8 = 30 days to finish the task.

So, the range = 30 to 33.6 days. The new team will take 30 to 33.6 days to finish the task

8. D

The 475 litres is filled in 19 hours by the two pipes when they are opened simultaneously.

Therefore, rate of water flow by A and B,

A + B = 47519 = 25 litres/hour………….(1)

Let pipe B was opened for t hours

Then, pipe A was opened for t + 5 hours

A x (t+5) + B x t = 475

(A + B) x t + 5A = 475

25t + 5A = 475

=> 5t + A = 95

Now, using options

t = 16 => 5 x 16 + A = 95 => A = 15

9. D

To earn a profit of 40% at Rs 20/litre,

Cost price = 20/1.4=100/7

Therefore,

Milk: Water = 100/7:40/7 = 5:2

So, in 4 litres of water, 10 litres of milk would be required. Resultant mixture = 14 litres

10. D

Present age of Daizy =5years

Present age of Radika =5−2=3

Let present age of Anika =x

Then, present age of Radika =x−6/18

x−6/18=3⇒x−6=3×18=54⇒x=54+6=60

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