Dear Aspirants,
We have introduced "the 17 days study plan to crack IPPB Scale-1 Prelims 2017". This plan is specifically dedicated to Quantitative Aptitude and cover all types of questions asked in Bank PO exams. This will help you to prepare in a more efficient and systematic way. So, follow this post to keep updated with the plan.
1. Find the probability that a number from 1 to 300 is divisible by 3 or 7 ?
A. 37/75
B. 32/75
C. 36/75
D. 28/75
E. 26/75
Sol. Between 1 and 300 there are 100 multiples of 3
and 42 multiples of 7, while 14 are common multiples of 3 and 7
So total no. of favourable cases = 100 + 42 − 14 = 128.
Required probability = 128/300 = 32/75.
2. There are 3 red balls, 4 blue balls and 5 white balls. 2 balls are chosen randomly. Find probability that 1 is red and the other is white ?
A. 5/22
B. 5/23
C. 7/22
D. 4/9
E. None of these
Sol. Required Probability = (3c1 × 5c1)/12c2 = 5/22.
Directions (3-5): Study the following information carefully to answer the questions that follow :
A box contains 2 blue caps, 4 red caps, 5 green caps and 1 yellow cap.
3. If one cap is picked at random, what is the probability that it is either blue or yellow ?
A. 2/9
B. 1/4
C. 3/8
D. 6/11
E. None of these
Sol. Required Probability = (2c1 + 1c1)/12c1 = 3/12 = 1/4.
4. If two caps are picked at random, what is the probability that at least one is red ?
A. 1/3
B. 16/21
C. 19/33
D. 7/19
E. None of these
Sol. Required Probability = (4c1×8c1 + 4c2)/12c2 = (38×2)/(12×11) = 19/33.
5. If three caps are picked at random, what is the probability that two are red and one is green ?
A. 9/22
B. 6/19
C. 1/6
D. 3/22
E. None of these
Sol. Required Probability = (4c2×5c1)/12c3 = 3/22.
6. Find the number of ways of distributing 8 identical balls into 3 boxes so that no box is empty and each box being large enough to accommodate all balls ?
A. 24
B. 28
C. 36
D. 21
E. 18
Sol. (8-1)C(3-1) = 7C2 = 7×6/2×1 = 21.
7. A group consists of 4 couples in which each of the 4 men have one wife each. In how many ways could they arranged in a straight line so that the men and women occupy alternate position ?
A. 576
B. 982
C. 1152
D. 1024
E. None of these
Sol. 4!×4! + 4!×4! = 576+576 = 1152.
8. A five digit number is formed with the digits 0,1,2,3 and 4 without repetition.Find the chance that the number is divisible by 2 ?
A. 1/2
B. 2/3
C. 1/3
D. 1/4
E. None of these
Sol. 5 digit number = 5! = 120
Divisible by 2 then the last digit should be 0, 2, 4
Then no. of cases with 0 as last digit = 4! = 24
no. of cases with 2 as last digit = 18
no. of cases with 4 as last digit = 18
Total cases = 24 + 18 + 18 = 60
P = 60/120 = 1/2.
9. From a group of 4 men and 3 women , 2 persons are selected at random. Find the probability that at least one woman is selected ?
A. 2/3
B. 3/5
C. 5/7
D. 1/3
E. 1/2
Sol. Total cases = 7c2 = 7!/5!×2! = 21
Cases when no women is selectd = 4c2 = 4!/2!×2! = 6
Cases when atleast 1 woman is selected = (21-6) = 15
Probability = 15/21 = 5/7.
10. 16 persons are participated in a party. In how many different ways can they host the seat in a circular table, if the 2 particular persons are to be seated on either side of the host ?
A. 16! × 2
B. 14! × 2
C. 18! × 2
D. 14!
E. None of these
Sol. (16 – 2)! × 2 = 14! × 2.
11. A bag contains 8 white and 9 black balls. Balls are drawn one by one. Two balls are drawn without replacement. What is the probability that one is white and other is black?
A. 8/15
B. 1/17
C. 8/17
D. 1/15
E. 9/17
Sol. Required Probability = (8C1×9C1)/(17C2) = 8/17.
12. A bag contains 3 red, 6 white and 7 black balls. Two balls are drawn at random. What is the probability that both are black ?
A. 5/40
B. 6/40
C. 7/40
D. 8/40
E. None of these
Sol. The reqd. probability is 7C2 / 16C2 = 7/40.
Important Note:
To receive the fastest updates on Bank Exams as well as all other ongoing as well as forthcoming exams, kindly subscribe to our website. All you have to do is enter your email in the upper-right column that appears on the website when you first enter it on the home page. Once you’re subscribed, you will receive all the latest updates concerning all competitive exams.
For more Updates & Notifications for bank exams like SBI PO, SBI CLERK, IBPS PO, IBPS RRB, IBPS CLERK, IBPS SO, NIACL, SSC CHSL, SSC CGL etc. like our facebook page at :
