# IBPS PO Quantitative Aptitude Probability For Prelims: 17th February

Numerical Ability or Quantitative Aptitude Section has given heebie-jeebies to the aspirants when they appear for a banking examination. As the level of every other section is only getting complex and convoluted, there is no doubt that this section, too, makes your blood run cold. The questions asked in this section are calculative and very time-consuming. But once dealt with proper strategy, speed, and accuracy, this section can get you the maximum marks in the examination. Following is the Quantitative Aptitude quiz to help you practice with the best of latest pattern questions.

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**Q1. A bag contains 510 oranges out of which 70/17% oranges are spoiled by a naughty boy. Find the probability of getting a good orange from the bag.**

153/170

161/170

163/170

3/5

11/17

**Q2. 3 unbiased coins are tossed. Find the probability of getting exactly two ‘Heads’.**

1/8

1/4

3/8

1/2

5/8

Solution:

Total event = {HHH, HHT, HTH, THH, THT, HTT, TTH, TTT} = 8

Possible event = {HHT, HTH, THH} = 3

Required Probability = 3/8

Possible event = {HHT, HTH, THH} = 3

Required Probability = 3/8

**Q3. What is the probability of selecting 2 black balls from a basket containing 5 black and 4 red balls?**

5/18

7/18

13/18

5/36

11/18

**Q4. A box contains 25 bulbs out of which 5 are defective. 3 bulbs are to be delivered to a customer. What is the probability that he get one defective bulb?**

19/46

25/51

44/77

21/46

17/46

**Q5. In a bag there are three pink and five white bolls. Three bolls are chosen randomly. What is the probability that at least one is pink and atmost two are white?**

11/28

23/28

13/28

15/28

23/14

**Q6. Two bags A and B contain 7 red and 6 blue balls respectively. Some blue balls from bag B are taken out and kept into bag A. If probability of selecting two blue ball from bag A is 1/15, find the number of blue balls drawn from bag B.**

2

4

3

5

6

**Q7. Three persons Dev, Deepak and Dudhiya Singh run a race. The probability of completing the race by them is 1/3,2/5 and 4/5 respectively. Find the probability that at least two persons complete the race.**

12/25

38/75

17/35

26/49

37/75

**Q8. A committee of five persons is to be chosen from a group of 9 people. The probability that a certain married couple will either serve together or not at all is:**

5/9

4/9

13/18

11/27

4/15

**Directions (9-12): Read the following passage and answer the questions based on it.**

The Bangalore office of Infosys has 1200 executives. Out of these, 880 subscribe to the Time magazine and 650 subscribe to the Economist. Each executive may subscribe to either the Time or the Economist or both. If an executive is picked at random, find the probability that

**Q9. He has subscribed to the Time magazine.**

11/15

11/12

7/15

7/11

4/15

Solution:

Total executives = 1200

Subscribed for Time magazine = 880

Subscribed for Economy = 650

No. of executives subscribed for both = (880 + 650) – 1200 = 330

Required probability = 880/1200 = 11/15

Subscribed for Time magazine = 880

Subscribed for Economy = 650

No. of executives subscribed for both = (880 + 650) – 1200 = 330

Required probability = 880/1200 = 11/15

**Q10. He has subscribed to the Economist.**

13/21

13/20

13/24

12/30

11/24

Solution:

Total executives = 1200

Subscribed for Time magazine = 880

Subscribed for Economy = 650

No. of executives subscribed for both = (880 + 650) – 1200 = 330

Required probability=650/1200=13/24

Subscribed for Time magazine = 880

Subscribed for Economy = 650

No. of executives subscribed for both = (880 + 650) – 1200 = 330

Required probability=650/1200=13/24

**Q11. He has subscribed to both magazines.**

22/40

11/40

12/20

4/20

13/40

Solution:

Total executives = 1200

Subscribed for Time magazine = 880

Subscribed for Economy = 650

No. of executives subscribed for both = (880 + 650) – 1200 = 330

Required probability=330/1200=11/40

Subscribed for Time magazine = 880

Subscribed for Economy = 650

No. of executives subscribed for both = (880 + 650) – 1200 = 330

Required probability=330/1200=11/40

**Q12. If among the executives who have subscribed to the Time magazine, an executive is picked at random. What is the probability that he has also subscribed to the Economist?**

3/8

5/8

2/3

1/8

7/8

Solution:

Total executives = 1200

Subscribed for Time magazine = 880

Subscribed for Economy = 650

No. of executives subscribed for both = (880 + 650) – 1200 = 330

Required probability=330/880=3/8

Subscribed for Time magazine = 880

Subscribed for Economy = 650

No. of executives subscribed for both = (880 + 650) – 1200 = 330

Required probability=330/880=3/8

**Q13. What is the probability that card drawn at random from a pack of cards is either red or a king?**

15/26

7/13

27/52

3/13

11/52

**Q14. The probability of Sharmila and Shushma passing an exam is 2/5 and 3/5, respectively. Find the probability that at least one of them passes the exam.**

1/25

1/5

19/25

1/2

17/25

**Q15. A number is selected at random from the first 30 natural numbers. What is the probability that it is either a multiple of 2 or a multiple of 3?**

13/30

2/3

2/5

17/30

23/30

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