Quantitative Aptitude tests evaluate candidate’s numerical ability and problem-solving skills. This test meant to judge the optimal knowledge of the mathematics of school level. Practice quantitative questions with the help of our Quiz for SBI PO exam 2018.

**1. Train A running at 114km/hr takes 12 seconds to cross a pole. How much time (in seconds) will Train B running at 48 Km/hr take to cross the pole if its length is one-fourth that of a Train A?**

a) 10 seconds

b) 8 seconds

c) 7 seconds

d) 5 seconds

e) None of these

**Ans: Option (c)**

**Explanation:**

Length of train A = 114×12×5/18

=6840/18

=380

Now, length of train B = 380 1×/4

=95

so, time taken by train B to cross the pole =(95×18)/(48×5)

=1710/240

=7.1

≅7 seconds

**2. Find SI on Rs. 3000 at 18% p.a. for the period 5 February 2016 to 18 April 2017, both days inclusive**.

a) Rs. 108

b) Rs. 208

c) Rs. 216

d) Rs. 240

e) None of these

**Ans: Option (a)**

**Explanation:**

Rate = 18% p.a.

2013 yr has 365 days

rate=18/365 % per day

From 5^{th} Feb to 18^{th} April there are 73 days

S.I.=(3000×18×73)/(100×365)=6×8

=108

**Salary of Bank Employees after 11th bipartite Settlement**

** 3. Mohan and Shyam spent 55 % and 70% of their respective monthly salaries. Shyam kept 50 % of the remaining as savings and gave the remaining 2300 to his brother. What was the Mohan’s monthly expenditure if his monthly salary was 18 % less than that of Shyam?**

a) 6118

b) 7118

c) 8118

d) 8418

e) None of these

**Ans: Option (c)**

**Explanation:** Suppose Shyam’s salary =Rs. 100

remaining salary after expenditure= Rs. 30

Shyam’s saving = 50 ×30/100

=15

Shyam gave, 30-15= 15 to his brother

here, 15≡ 2300

so,100≡18,000

Shyam salary is Rs. 18,000

Mohan’s salary= 82% of 18,000

=18,000 ×82/100

=14,760

Mohan’s expenditure=14,760 ×55/100

=8118

4. **A vegetable seller sold vegetables at 14%loss. Had he sold the vegetables for 92.50 more, he would have earned a profit of 40 %. What would be the selling price of the vegetables if the vegetables are sold at 45% profit?**

a) 348

b) 248

c) 228

d) 328

e) None of these

**Ans: Option (b)**

**Explanation: **

Suppose cost price of vegetable is Rs. 100

So, selling price of the vegetable = 86

Now, 140-86≡92.50

54≡92.50

Now, if the vegetables are sold at 45% profit

145≡92.50 ×145/54

=13412.5/54

=248.3

≅248

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**5. 45 women can complete a work in 20 days. How many women will be required to complete the same work in 18 days?**

a) 48

b) 50

c) 60

d) 55

e) None of these

**Ans: Option (b)**

**Explantion: **

required number of persons= 45× 20/18

= 50

**6. Sunil started a business with a capital of Rs. 40,000. After 6 months, with a capital of Rs.28,000 Sonakshi joined him. At the end of the year,the total profit was 18,648. What will be Sonakshi’s share?**

a) 6526

b) 8526

c) 9111

d) 8149

e) None of these

**Ans: Option (a)**

Explanation:

ratio of the shares of Sunil and Sonakshi= 40,000 ×12: 28,000 ×6

=480,000:168,000

=20:7

Sum of the proportions= 27

total profit incurred=Rs. 18648

Share of Sonakshi in the profit= 18,648×7/20

=6526

**7. In a college, there is an eight-player hockey team. A five-member team and a captain will be selected out of these eight players. In how many different ways can this be done?**

a) 164

b) 158

c) 168

d) 172

e) None of these

**Ans: Option (c)**

**Explanation:**

^{ }required number of ways:

^{8}C_{1}×^{7}C_{5}=168

**8. A boat covers a distance of 48 Km downstream in 8 hours. To cover the same distance upstream the boat takes 4 hours longer. What is the speed of the boat in still water?**

a) 6 km/hr

b) 4 km/hr

c) 5 km/hr

d) 8 km/hr

e) None of these

**Ans: Option (c)**

**Explantion: **

Speed of the boat downstream=48/8

=6 km/hr

Speed of the boat upstream=48/(8+4)

= 4 km/hr

Speed of the boat in still water= (6+4)/2

=5 km/hr

**SBI Clerk Exam 2018: Approximation/Simplification Quiz**

**9. A jar contains a mixture of liquids A and B in the ratio 3:2. When 20 litres of the mixture is taken our and replaced by 20 litre of liquid B, the ratio changes to 1:4. How many litres of liquid A was there initially present in the jar?**

a) 25

b) 18

c) 12

d) 36

e) None of these

**Ans: Option (b)**

**Explanation:**

percentage of liquid B initially present in the jar= 2×100/5= 40 %

percentage of liquid B finally present in the jar= 4×100/5=80%

let us liquid B initially present in the jar as the first solution in which the percentage of liquid B is 40% The second solution is liquid B which is being mixed and it has 100 % liquid B.

so, 80 % of the liquid B present in the resultant mixture may be taken as average percentage.

Using rule of allegation on liquid B present we can write

Or, the ratio of liquid left in the jar to liquid B being mixed =1:2

Since the quantity if liquid B being mixed is 20 litres. The quantity of liquid left in the jar is 10 litres.

Therefore, the total quantity of liquid initially present in the vessel=10+20=30 litres

quantity of liquid A=3/(2+3)=18 litres.

**10. Taxi start from a metro station with a speed of 20 km/hr at intervals of 10 minutes. What is the speed of a man coming from the opposite direction towards the metro station if he meets the taxis at intervals of 8 minutes? **

a) 3 km/hr

b) 4 km/hr

c) 5 km/hr

d) 7 km/hr

e) None of these

**Answer (c) Explanation:** Distance covered in 10 minutes at 20 kmph = distance covered in 8 minutes at (20+x) kmph

20× 10/60=8/60(20+x)

200 = 160 + 8x

8x = 40

x=40/8=5 kmph

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