# IBPS Clerk Prelims: Quants Day 18

Hello Aspirants. Welcome to Online Quant Section in AffairsCloud.com. We are starting IBPS Clerk course 2015 and we are creating sample questions in Quantitative Aptitude section, type of which will be asked in IBPS Clerk Prelims Exam.

Stratus – IBPS Clerk Course 2015 [flipclock]

1. There are 3 red balls, 4 blue balls and 5 white balls. 2 balls are chosen randomly. Find probability that atmost one ball is red.
A) 28/43
B) 21/22
C) 7/32
D) 5/23
E) None of these
B) 21/22
Explanation:

Case 1: 0 red ball
9C2/12C2
Case 2: 1 red ball and other any of blue or white
3C1*9C1/12C2

2. The sum of the ages of A and B is 50 yrs. Also 5 yrs ago, the A’s age was 7 times the age of B. What is the present age of the A?
A) 20 yrs
B) 32 yrs
C) 40 yrs
D) 45 yrs
E) None of these
C) 40 yrs
Explanation:

A + B = 50
A – 5 = 7(B – 5)
Solve, A = 40

3. There are two schemes in which Rs 7000 is deposited, of which some amount is deposited at 6% per annum and the remaining amount at 4% per annum. The total interest comes out to be Rs 1600 after 5 years. What is the amount deposited in scheme with 6% per annum?
A) Rs 1000
B) Rs 2000
C) Rs 4000
D) Rs 5000
E) None of these
B) Rs 2000
Explanation:
Find the rate % when time is 5 yrs:
1600 = 7000*r*5 / 100, this gives r = 32/7%
By the method of allegation:
6                                                    4
.                            32/7
32/7 – 4 = 4/7                     6 – 32/7 = 10/7
4/7 : 10/7 or 2 : 5
Amount at 6% = 2/(2+5) * 7000 = 2000

4. A man buys a pair of jeans at 5/6th of its marked price and then sold it at 20% above its marked price. Find the man’s percentage gain in this transaction.
A) 26%
B) 34%
C) 40%
D) 44%
E) None of these
D) 44%
Explanation:
There is a shortcut for these type of questions
6/5 [100+20] – 100 = 44%

5. A is twice good as workman as B. A and B together do a piece of work in 18 days, then in how many days A does the work alone?
A) 15 days
B) 18 days
C) 25 days
D) 27 days
E) None of these
D) 27 days
Explanation:

A+B do work in 18 days, this implies twice good + once good workman do in 18 days.
3 times good in 18 days
1 time good in 18*3 days
A(twice good) work in 18*3 / 2 = 27 days

6. x2 – 24x +144 = 0, y2 – 26y +169 = 0
A) x < y
B) x > y
C) x ≤ y
D) x ≥ y
E) x = y, or no relationship
A) x < y
Explanation:

x2 – 24x +144 = 0
(x-12) (x-12) = 0
X=12
y2 – 26y +169 = 0
(y-13)(y-13) = 0
Y = 13
y > x

7. 2x2 + 3x – 20 = 0, 2y2 + 19y + 44 = 0
A) x < y
B) x > y
C) x ≤ y
D) x ≥ y
E) x = y, or no relationship
D) x ≥ y
Explanation:

2x2 + 3x – 20 = 0
2x2 + 8x – 5x – 20 = 0
2x(x+4) – 5(x+4) = 0
x = -4, 2.5
2y2 + 19y + 44 = 0
2y2 + 8y + 11y + 44 =0
2y(y+4) +11(y+4) = 0
y = -4, -5.5
put on number line
-5.5           -4               2.5

8. 6x2 + 77x + 121 = 0, y2 + 9y – 22 =0
A) x < y
B) x > y
C) x ≤ y
D) x ≥ y
E) x = y, or no relationship
E) x = y, or no relationship
Explanation:

6x2 + 77x + 121 = 0
6x2 + 66x + 11x + 121 = 0
6x(x+11) + 11(x+11) = 0
x = -11, -11/6
y2 + 9y – 22 =0
(y+11)(y-2) = 0
y = 2, -11
put on number line
-11         -11/6             2
When y = 2, y > x
When y = -11, y ≤ x

9. x2 – 6x – 7 = 0, 2y2 +13y +15 = 0
A) x < y
B) x > y
C) x ≤ y
D) x ≥ y
E) x = y, or no relationship
B) x > y
Explanation:

x2 – 6x – 7 = 0
(x-7)(x+1) = 0
x = -1, 7
2y2 +13y +15 = 0
2y2 + 10y + 3y + 15 = 0
2y(y+5) +3(y+5) = 0
(y+5)(2y+3) = 0
y = -5, -1.5
put on number line
-5          -1.5             -1 7

10. 10x2 – 7x +1 = 0, 35x2 – 12y + 1 = 0
A) x < y
B) x > y
C) x ≤ y
D) x ≥ y
E) x = y, or no relationship
D) x ≥ y
Explanation:

10x2 – 7x +1 = 0
10x2 – 5x – 2x + 1 = 0
5x (2x-1) -1(2x-1) = 0
(5x-1) (2x-1) = 0
x = 1/5, 1/2
35x2 – 12y + 1 = 0
35x2 – 7y – 5y +1 = 0
7y (5y-1) – (5y-1) = 0
y = 1/7, 1/5
put on number line
1/7        1/5                1/2

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