Quant Quiz- Mixed Type for SBI PO

Directions (1-3): Study the information carefully to answer the following questions:

An urn contains 5 red, 3 green, 2 blue and 4 yellow marbles.

1. If two marbles are picked at random, what is the probability that both are blue?
(a) 1/7
(b) 1/14
(c) 2/91
(d) 1/28
(e) None of these
2. If three marbles are picked at random, what is the probability that one is green and two are yellow?
(a) 3/14
(b) 2/91
(c)9/182
(d) 7/545
(e) None of these

3.If two marbles are picked at random, what is the probability that either both are red or both are green?
(a) 5/7
(b) 5/14
(c) 1/7
(d) 1/14
(e) None of these

Directions (4-8): In each of these questions, one question is given followed by data in three statements I, II and III. You have to study the question and the data in statements and decide the question can be answered with data in which of the statements and mark your answer accordingly.

4. What is the rate of interest p.c.p.a.?
Statements:
I. Difference between the compound interest and simple interest earned in two years on the amount invested is Rs. 100/-
II. The amount becomes Rs. 19,500/- in three years on simple interest.
III. Simple interest accrued in two years on the same amount at the same rate of interest is Rs. 3,000/-
(a) Only I and II
(b) Only I and III
(c) Only II and III
(d) Only I and either II or III
(e) None of these

5. What is the speed of the train in km/hr?
Statements:
I. The train crosses an ‘x’ m long platform in ‘n’ seconds.
II. Length of the train is ‘y’ m.
III. The train crosses a signal pole in ‘m’ seconds.

(a) Any two of the three
(b) Only II and III
(c) Only I and III
(d) All I, II and III
(e) Question cannot be answered even with information in all three statements

Number Series

6. 42, 40, 38, 35, 33, 31, 28, ?, ?
A. 25, 22
B. 26, 23
C. 26, 24
D. 25, 23
E. 26, 22

7. 8, 12, 9, 13, 10, 14, 11, ?, ?
A. 14, 11
B. 15, 12
C. 8, 15
D. 15, 19
E. 8, 5

8. 36, 31, 29, 24, 22, 17, 15, ?, ?
A. 13, 11
B. 10, 5
C. 13, 8
D. 12, 7
E. 10, 8

9. 3, 5, 35, 10, 12, 35, 17, ?, ?
A. 22, 35
B. 35, 19
C. 19, 35
D. 19, 24
E. 22, 24

10. 13, 29, 15, 26, 17, 23, 19, ?, ?
A. 21, 23
B. 20, 21
C. 20, 17
D. 25, 27
E. 22, 20


Answers
6. Option C
Explanation: This is an alternating subtraction series in which 2 is subtracted twice, then 3 is subtracted once, then 2 is subtracted twice, and so on.

7. Option B
Explanation: This is an alternating addition and subtraction series, in which the addition of 4 is alternated with the subtraction of 3.

8. Option E
Explanation: This is an alternating subtraction series, which subtracts 5, then 2, then 5, and so on.

9. Option C
Explanation: This is an alternating addition series, with a random number, 35, interpolated as every third number. The pattern of addition is to add 2, add 5, add 2, and so on. The number 35 comes after each "add 2" step.

10. Option B
Explanation: Here, there are two alternating patterns, with every other number following a different pattern. The first pattern begins with 13 and adds 2 to each number to arrive at the next; the alternating pattern begins with 29 and subtracts 3 each time.

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