IBPS CLERK MAINS 2017 – QUANTITATIVE APTITUDE DAY 16
IBPS CLERK MAINS 2017 – QUANTITATIVE APTITUDE DAY 16
Dear Banking Aspirants,
IBPS CLERK Mains 2017, the last exam of the year 2017 is going to held in 21.01.2018.There is only few days in our hands for preparation and you have to work hard to achieve your goal, because the competition is very high as per the vacancy is concerned.
So start your preparation now with this study Planner for IBPS Clerk Mains. It’s a 20 days complete planner with various Aptitude, Reasoning, English, Current affairs & Static Gk topics Included. There are 4 Mock tests available in this planner.
We have planned this Planner in Such a way that this will cover the entire current affairs quiz from the month of October to January (1st week). Because Banking Awareness, Current Affairs, Static Gk & Computer Awareness will play a vital role in cracking the IBPS Clerk Mains exam. Though the exam is getting tougher and tougher for each and every Year, Only consistently hard working candidates will crack the exam. So be a continuous hard worker and grab the opportunity to achieve your success.
Make hay while the Sunshine!!!!!!!!!!!
So as per the planner here is content related to Quantitative Aptitude .
IBPS CLERK Mains 2017 -Quantitative Aptitude DAY 16
Quantitative Aptitude
Time: 20 Minutes
Topic: Probability/permutations
Probability/permutations
Q.1) A bag contains 5 red balls and some blue balls. If probability of drawing a blue ball is double that of a red ball, then number of blue balls in the bag is
(a) 3
(b) 5
(c) 6
(d) 10
(e) None of these
Q.2) In how many different ways can five student be seated in three chairs?
(a) 15
(b) 18
(c) 30
(d) 60
(e) None of these
Q.3) What is the probability that a number selected form the numbers 1, 2, 3, 4,…., 16 is a prime number?
(a) 3/16
(b) 1/4
(c) 3/8
(d) 2/5
(e) None of these
Q.4) A card is drawn from a pack of 52 cards. A card is drawn at random. The probability that it is neither a heart nor a king is
(a) 4/13
(b) 9/13
(c) 10/13
(d) 11/13
(e) None of these
Q.5) Directions 5-8) A jar has 6 pencils, each of different color, viz, red, blue, yellow, green black and white.
If 5 pencils were removed from the jar, what is the probability that the black one was removed?
(a) 1/30
(b) 1/6
(c) 1/5
(d) 5/(6 )
(e) None of these
Q.6) If two dice are thrown simultaneously, what is the probability that you get a sum of 10 and 11?
(a) 3/35
(b) 5/36
(c) 1/36
(d) 7/36
(e) None of these
Q.7) Out of all integers from 1 to 100, a number is selected at random. Probability that the selected number is not divisible by 7 is
(a)43/50
(b) 7/53
(c) 1/100
(d) 3/25
(e) None of these
Q.8) Two coins are tossed together once. The probability of getting at least one head is
(a) 3/4
(b) 1/2
(c) 2/(3 )
(d) 4/7
e) None of these
Q.9) Directions 9-10) A coin is tossed three times in succession.
The probability of obtaining 2 heads is.
(a) 1/8
(b) 2/8
(c) 3/8
(d) 7/8
(e) None of these
Q.10) In the above questions, what is the probability of getting tail atleast once?
(a) 1/8
(b) 2/8
(c) 3/8
(d) 7/8
(e) None of these
Q.11) Box-A contains 6 black balls, ‘x’ green balls and 10 red balls, a ball is drawn randomly, probability of getting a green ball is . Box-B contains (x-2) pink balls, 6 yellow balls and (x+1) blue balls, two balls are taken randomly without replacement, what is the probability of getting both are pink balls?
a) 2/21
b) 3/20
c) 3/35
d) 1/35
e) 4/35
Q.12) There are two boxes A and B, Box A contains 5 black cards, some silver cards and some pink cards, if 1 card is picked from box A, the probability of that card is silver is 1/3. Box B contains 4 silver cards, 3 Red cards and some pink cards, 2 cards are picked from box B, the probability of the two cards are pink is 1/15. If the number of pink cards from box A is same as the number of pink cards from box B, what is the total number of silver cards from box A?
a) 4
b) 5
c) 3
d) 6
e) 8
(13-17)
A, B, C and D are four colour balls in four different boxes (box 1, box 2, box 3 and box 4) . Box 1 totally contains 139 balls. A colour balls are in the multiples of 12. Box 3 totally contains 223 balls. B colour balls are in the consecutive odd numbers (If Box 1 contains 1 ball, Box 2 contains 3 balls, Box 3 contains 5 balls and Box 4 contains 7 balls) . Total number of C colour balls in the various boxes are 203.C and D colour balls are in the multiples of 7 and 9 respectively. Box 4 contains thesame number of C and D colour balls. All boxes contain two digits number of balls except D colour balls in box 3. A,C and D colour balls are in the box 3 is multiples of 12. The least number of ballsisA colour balls in Box 3. The number of A colour balls in box 2 is 12 less than the number of A colour balls in box 4. In Box 1, the number of A colour ball is three more than the C colour balls and the sum of the A and C colour balls in the box is 45. The number of A colour balls in box 4 is 25 more than the number of B colour balls in the Box 4. The number of D colour balls in Box 2 is less than the same colour balls in Box 1, but more than the same colour balls in box 4. Total number of A colour balls in the various boxes is 120.
Q.13) If one ball is taken at random from box 2, what is the probability that the ball is ‘C’ colour?
a)
b)
c)
d)
e)
Q.14) What is the total number of A colour balls in various boxes?
a) 108
b) 96
c) 120
d) 144
e) 132
Q.15) What is the difference between the A, C and D colour balls in box 3 and 1?
a) 90
b) 84
c) 72
d) 78
e) 88
Q.16) What is the difference between the square of least number of C colour balls and the square of highest number of D colour balls?
a) 11332
b) 11294
c) 11223
d) 11442
e) 12123
Q.17) What is the total number of balls in various boxes?
a) 719
b) 729
c) 723
d) 712
e) 704
D.18-20) Read the following table carefully and find out the correct answer from the following question.
| Number of Blue ball | Number ofGreen ball | Number of Red ball | Number of Yellow ball | Probability of taken of one green ball fro
m each shop |
|
| Shop A | 5 | — | 4 | 3 | 2/5 |
| Shop B | — | 6 | — | 5 | 3/10 |
| Shop C | 3 | — | 8 | — | 3/11 |
| Shop D | — | 3 | 4 | 2 | 1/5 |
| Shop E | 5 | — | — | 5 | 1/3 |
Note:
I) Number of Green balls in shop E is 1 ball less than the number of Green ballsin shop A.
II) Number of Red balls in shop B is one less than number of Blue ballsin shop D.
III) The ratio of the total number of Red balls in all given shop to number of Yellow balls in shop C is 5 : 1.
Q.18) If three balls sold from shop B, what is the probability of that one ball is blue and remaining two balls are yellow or Red?
a)
b)
c)
d)
e)None of these
Q.19)One ball sold from shop E and then another ball is sold from the same shop. What is the probability that the first ball is Red, and another ball is Green or Yellow?
a)
b)
c)
d)
e)
Q.20) Two balls are sold from shop D, what is the probability that at most one ball is Blue?
a)
b)
c)
d)
e)
Answer Key:
Q.1) (d) 10
Q.2) (d) 60
Q.3) (c) 3/8
Q.4) (b) 9/13
Q.5) (d) 5/(6 )
Q.6) (b) 5/36
Q.7) (a)43/50
Q.8) (a) 3/4
Q.9) (c) 3/8
Q.10) (d) 7/8
Q.11) d
Given,
Required probability
Q.12) a
Let number of pink card from box B be X,
X = 3
Number of pink card from box A = number of pink card from box B
Let number of silver box from box A be X,
X = 4
Q.13) e
| Box | A | B | C | D | Total |
| 1 | 24 | 13 | 21 | 81 | 139 |
| 2 | 36 | 17 | 35 | 72 | 160 |
| 3 | 12 | 19 | 84 | 108 | 223 |
| 4 | 48 | 23 | 63 | 63 | 197 |
| Total | 120 | 72 | 203 | 324 | 719 |
Required probability =
Q.14) c
| Box | A | B | C | D | Total |
| 1 | 24 | 13 | 21 | 81 | 139 |
| 2 | 36 | 17 | 35 | 72 | 160 |
| 3 | 12 | 19 | 84 | 108 | 223 |
| 4 | 48 | 23 | 63 | 63 | 197 |
| Total | 120 | 72 | 203 | 324 | 719 |
Required total = 120
Q.15) d
| Box | A | B | C | D | Total |
| 1 | 24 | 13 | 21 | 81 | 139 |
| 2 | 36 | 17 | 35 | 72 | 160 |
| 3 | 12 | 19 | 84 | 108 | 223 |
| 4 | 48 | 23 | 63 | 63 | 197 |
| Total | 120 | 72 | 203 | 324 | 719 |
Required difference = (12+84+108)- (24+21+81)= 78
Q.16) c
| Box | A | B | C | D | Total |
| 1 | 24 | 13 | 21 | 81 | 139 |
| 2 | 36 | 17 | 35 | 72 | 160 |
| 3 | 12 | 19 | 84 | 108 | 223 |
| 4 | 48 | 23 | 63 | 63 | 197 |
| Total | 120 | 72 | 203 | 324 | 719 |
Required difference = 1082– 212= 11664-441= 11223
Q.17) a
| Box | A | B | C | D | Total |
| 1 | 24 | 13 | 21 | 81 | 139 |
| 2 | 36 | 17 | 35 | 72 | 160 |
| 3 | 12 | 19 | 84 | 108 | 223 |
| 4 | 48 | 23 | 63 | 63 | 197 |
| Total | 120 | 72 | 203 | 324 | 719 |
Q.18) b
| No. of Blue balls | No. of Green balls | No. of Red balls | No. of Yellow balls | |
| Shop A | 5 | 8 | 4 | 3 |
| Shop B | 4 | 6 | 5 | 5 |
| Shop C | 3 | 6 | 8 | 5 |
| Shop D | 6 | 3 | 4 | 2 |
| Shop E | 5 | 7 | 4 | 5 |
Q.19) c
| No. of Blue balls | No. of Green balls | No. of Red balls | No. of Yellow balls | |
| Shop A | 5 | 8 | 4 | 3 |
| Shop B | 4 | 6 | 5 | 5 |
| Shop C | 3 | 6 | 8 | 5 |
| Shop D | 6 | 3 | 4 | 2 |
| Shop E | 5 | 7 | 4 | 5 |
Q.20) e
| No. of Blue balls | No. of Green balls | No. of Red balls | No. of Yellow balls | |
| Shop A | 5 | 8 | 4 | 3 |
| Shop B | 4 | 6 | 5 | 5 |
| Shop C | 3 | 6 | 8 | 5 |
| Shop D | 6 | 3 | 4 | 2 |
| Shop E | 5 | 7 | 4 | 5 |
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