Quantitative Aptitude Quiz for RBI | IBPS – Set 147

In Quantitative Aptitude, Quants & Reasoning
September 15, 2016

DIRECTION: Each of the questions below consist of a question and two statements I and II. You have to decide whether the data provided in the statement are sufficient to answer the question. Read both statement and give answer as-
(a) If data in statement I alone is sufficient to answer the question
(b) If statement II alone is sufficient to answer the question.
(c) If both statement together is required to answer the question
(d) If either of statement is sufficient to answer the question
(e) If neither of statement is sufficient to answer the question.
1)What is the ratio of two numbers?
I. Two numbers are such that sum of twice the first and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39.
II. First number is 40 more than second number.

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Ans a)
From statement I, let the two number be x and y.
2x +3y = 36, 3x +2y = 39, on solving x/y = 3/2.
From statement II, x/y = y+40/y not determined.

2)The ratio of area of curved surface of a cone, a hemisphere and a cylinder is?
I. Radius and height of all are equal.
II. Radius of hemisphere is 12 cm.

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Ans a)
From statement I, radius and height is same, ratio is 1:2^1/2:2^1/2
From statement II, curved surface area of hemisphere is 2*pi*12².

3)The base of the two triangles is in ratio of?
I. Area of the two triangles is in the ratio of 3:4.
II. Area of both triangles is in ratio of 5:7 and each has same height.

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Ans b)
From statement I, b1h1/b2h2 = 5/7
From statement II, b1h1/b2h2 = 5/7 h1=h2, so b1/b2 =5/7

4)The ratio of time taken by three cars to travel same distance is?
I. Speed of first car and second car is in ratio of 2:3
II. Speed of first car and third car is in ratio 1:2.

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Ans c)
From statement I, speed of first car: speed of second car = 2:3.
From statement II, speed of first car: speed of third car = 1:2
On combining both we ratio as 2:3:4.

5)Find the original bill?
I. Present bill is Rs. 4500.
II. The wages of labour in a factory increased in ratio 22:25.

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Ans e)
From statement I, present bill = Rs. 4500
From statement II, wages of labour increased in ratio = 22:25.
Also by combining both statements we do not get the required result.

6)A couple plans to have five children, what is the probability that they will have 3 boys and 2 girls?
(a) 5/16 (b) 4/19 (c) 3/5 (d) 2/17 (e) NOT

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Ans a)
Possible arrangement = B B B G G
Number of outcomes= 5! / (3!*2!)=10
The couple plans to have 5 children, in each case there is 2 possibility= 2*2*2*2*2 = 32
Probability = 10/32 = 5/16

7) A bag contains 50 tickets numbered from 1 to 50. Two tickets are drawn at random. What is the probability that both numbers are prime?
(a) 6/71 (b) 3/35 (c) 4/35 (d) data inadequate (e) NOT

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Ans b)
Total prime numbers present between 1- 50 = (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47)= 15
Probability = 15C2/50C2 = 3/35

8)A box contains 2 blue caps, 4 red caps, 5 green caps and 1 yellow cap. If two caps are picked at random, what is the probability that atleast one is red?
(a) 19/33 (b) 2/15 (c) 9/11 (d) 17/33 (e) NOT

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Ans a)
Probability =
4?1∗8?1/12?2 +4?2/ 12?2 = 16 /33 + 1/11
=19/33

9) In a bag there are 6 red balls and 9 green balls. Two balls are drawn at random, what is the probability that at least one of the balls drawn is red?
(a) 23/124 (b) 6/17 (c) 317/455 (d) 321/456 (e) 28/35

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Ans e)
Case.1- one ball is red and one ball is green
Probability =
6?1∗9?1/15?2
= 54/105
Case.2- both balls are red
Probability =
6?2 /15?2
= 30/105
Required probability = 54/105 + 30/105 = 28/35

10)One card is drawn from a pack of 52 cards. What is the probability of getting neither a king nor a heart card?
(a) 4/13 (b) 2/39 (c) 1/13 (d) 1/4 (e) 4/13

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Ans a)

Probability of not getting a king nor a heart = 16C1/52C1 = 4/13