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 **

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**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

Add the two cases.**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**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**Find the rate % when time is 5 yrs:

Explanation:

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**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%**There is a shortcut for these type of questions

Explanation:

6/5 [100+20] – 100 = 44%**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**x**^{2}– 24x +144 = 0, y^{2}– 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:

**x**^{2}– 24x +144 = 0

(x-12) (x-12) = 0

X=12

**y**^{2}– 26y +169 = 0

(y-13)(y-13) = 0

Y = 13

y > x**2x**^{2}+ 3x – 20 = 0, 2y^{2}+ 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:

**2x**^{2}+ 3x – 20 = 0

2x^{2}+ 8x – 5x – 20 = 0

2x(x+4) – 5(x+4) = 0

x = -4, 2.5

**2y**^{2}+ 19y + 44 = 0

2y^{2}+ 8y + 11y + 44 =0

2y(y+4) +11(y+4) = 0

y = -4, -5.5

put on number line

-5.5 -4 2.5**6x**^{2}+ 77x + 121 = 0, y^{2}+ 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:

**6x**^{2}+ 77x + 121 = 0

6x^{2}+ 66x + 11x + 121 = 0

6x(x+11) + 11(x+11) = 0

x = -11, -11/6

**y**^{2}+ 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**x**^{2}– 6x – 7 = 0, 2y^{2}+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:

**x**^{2}– 6x – 7 = 0

(x-7)(x+1) = 0

x = -1, 7

**2y**^{2}+13y +15 = 0

2y^{2}+ 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**10x**^{2}– 7x +1 = 0, 35x^{2}– 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:

**10x**^{2}– 7x +1 = 0

10x^{2}– 5x – 2x + 1 = 0

5x (2x-1) -1(2x-1) = 0

(5x-1) (2x-1) = 0

x = 1/5, 1/2

**35x**^{2}– 12y + 1 = 0

35x^{2}– 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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