# IBPS Clerk Pre Quant 01/11/2018

**Q1. Ajay and Vijay travel the same distance at the rate of 3.5 km per hour and 4 km per hour respectively. If Ajay takes 45 minute longer than Vijay, find the total distance travelled by Ajay and Vijay together ?**

21 km

45 km

25 km

42 km

30 km

**Q2. The distance between two bus stand A and B is 300 km. A bus starts from bus stand A and moves towards bas stand B at the rate of 15 km/hr. After 2 hours, another bus starts from bus stand B and moves towards bus stand A at the rate of 30 km/hr. How far from bus stand A will they cross each other ?**

120 km

90 km

30 km

150 km

110 km

Solution:

When bus starts from B, the bus from A will already covered = 30 km

The remaining distance = 300 – 30 = 270 km

Relative speed = 15 + 30 = 45 km/hr

Required time to cross each other = 270/45 = 6 hr

Distance covered by bus started from bus station A till it crosses another bus

= 30 + 15 × 6

= 120 km

The remaining distance = 300 – 30 = 270 km

Relative speed = 15 + 30 = 45 km/hr

Required time to cross each other = 270/45 = 6 hr

Distance covered by bus started from bus station A till it crosses another bus

= 30 + 15 × 6

= 120 km

**Q3. Abhay is twice as good as Vijay and is therefore able to finish a piece of work in 36 days less than Vijay. In how many days they can complete the whole work if they are working together ?**

48 days

30 days

36 days

32 days

24 days

Solution:

Ratio of efficiency of Abhay to Vijay 2 : 1

Ration of time → 1 : 2

Let time taken by Abhay and Vijay is 2x and x days respectively

ATQ—

2x – x = 36

x = 36

Required days = 72/3

⇒ 24 days

Ration of time → 1 : 2

Let time taken by Abhay and Vijay is 2x and x days respectively

ATQ—

2x – x = 36

x = 36

Required days = 72/3

⇒ 24 days

**Q4. A and B can do a piece of work in 12 days and 36 days respectively. If A decrease his efficiency by 33 ⅓% and B increase his efficiency by 50%, then how many days they will complete the remaining work together if half of the work completed before changing in their efficiencies?**

2.5 days

4 days

4.5 days

3.6 days

7.2 days

Solution:

Efficiency of A = 3

After decrement his efficiency = 2

Efficiency of B = 1

After increment his efficiency = 2

Total work = 36

Half work completed ⇒ 18

Required time → 18/4

= 4.5 days

After decrement his efficiency = 2

Efficiency of B = 1

After increment his efficiency = 2

Total work = 36

Half work completed ⇒ 18

Required time → 18/4

= 4.5 days

**Q5. Without stoppage, Kalpana travel’s bus travels a certain distance with an average speed of 60 km/hr, and with stoppage, it covers the same distance with an average speed of 45 km/hr. On an average, how many minutes per hour does the bus stop during the journey ?**

25 min

30 min

45 min

20 min

15 min

**Directions (6-10): Study the following pie-chart carefully and answer the questions given below:**

Pie chart shows the number of passengers who come to Delhi from 6 different countries in 2010 The data given in pie-chart is in degree form

**Q6. The total number of passengers from Germany and Brazil together is how much percent more/less than that from U.S.A. (approximately)?**

30% more

23% less

25% more

23% more

35% more

**Q7. Find the ratio between the total number passengers from Australia, France and Brazil together to the passenger of USA, Germany and China together ?**

17 : 19

34 : 29

17 : 38

17 : 35

19 : 17

Solution:

Required ratio = (60° + 68° + 42°): (77° + 58° + 55°)

170 : 190

17 : 19

170 : 190

17 : 19

**Q8. Find the total number of passengers from all countries except from Brazil and China ?**

2124

3156

2630

2596

2367

**Q9. Find the difference between the number of passengers from Australia and China together and from France and Brazil together ?**

75

55

48

60

84

**Q10. In which country the number of passengers come to Delhi is highest ?**

France

Brazil

USA

China

Australia

Solution:

In pie chart, angular distribution of USA is 77° which is highest so the number of passengers are also highest.

**Directions (11-15): Simplify the following questions and find the value of (?).**

**Q11. 999 ÷ 3000 + 8888 ÷ 4400 =?**

2.353

23.53

0.2353

235.3

3.253

Solution:

? = 0.333 + 2.02

= 2.353

= 2.353

**Q12.**

3.8

8.3

9.6

7.6

6.8

Solution:

? = 4.6 × 2.5 – 3.2

? = 8.3

? = 8.3

**Q13.**

8

9

14

12

11

**Q14. 233% of 30 + 153% of 70 – 87% of 200 =?**

8

6

4

5

3

Solution:

? = 69.9 + 107.1 – 174

? = 3

? = 3

**Q15. 5.6 × 2.8 + 6.3 × 0.9 – 2.5 × 1.5 =?**

15.6

16.7

19.4

17.6

1.76

Solution:

? = 21.35 – 3.75

= 17.6

= 17.6

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