RBI OFFICER GRADE ‘B’ PHASE-I EXAM Held on : 21.11.2015(Part-I)

Total Questions: 50

21. Boat A travels upstream from point X to point Y in 2 hours more than the time taken by Boat B to travel downstream from point Y to point Z. The distacne between X and Y is 40 km and that distance between Y and Z is 24 km. The speed of Boat B in still water is 10 km/h and the speed of Boat A in still water is equal to the speed of Boat B down- stream. What is the speed of Boat A in still water? (Consider the speed of the current to be the same).

Correct Answer: (3) 12 km/h
Solution:Speed of current = x kmph.
Rate downstream of boat B
= (10 + x) kmph
Speed of boat A in still water
= (10 + x) kmph
Rate upstream
=10 kmph
According to the question,

Speed of boat A in still water
= 10 + 2 = 12 kmph

22. An equal sum is invested for seven years in Scheme A offering simple interest at x% p.a. and in scheme B for two years offering compound interest at 10% p.a. (compounded annually). The interest earned from scheme A is thrice of the interest earned from scheme B. Had the rate interest been (x - 4)% simple interest per annum in scheme A, the difference in the interest earned from both the schemes would have been Rs. 700. What was the sum invested in each of the schemes?

Correct Answer: (2) Rs. 5000
Solution:Investment in each scheme
= Rs. y


23. On a shelf three are 4 books on Economics, 3 books on Management and 4 books on Statistics. In how many different ways can the books be arranged so that the books on Economics are kept together?

Correct Answer: (1) 967680
Solution:Books on Economics are to be kept together. Hence, we are to arrange 3 books on management, 4 books on Statistics and one book on Economics. These can be arranged in 8! ways.
Again, 4 books on Economics can be arranged together in 4! ways.
Total number of arrangements
= 8! 4! = 967680

24. In how many different ways can be letters of the word SOFTWARE be arranged in such a way that the vowels always come together?

Correct Answer: (5) None of these
Solution:There are 8 letters in the word 'SOFTWARE', including 3 vowels (O, A, E) and 5 consonants (S, F, T, W, R).
Considering three vowels as one letter, we have six letters which can be arranged in ⁶ = 6! ways. But corresponding to each way of these arrangements, the vowels can be put together in 3! ways.
Required number of words
= 6! 3! = 4320

25. A bag contains 13 white and 7 black balls. Two balls are drawn at random. What is the propability that they are of the same colour?

Correct Answer: (4) 99/190 ​
Solution:Total possible outcomes

26. Refer to the pie-charts and answer the given questions.

Distribution of total number of members (both males & females) in 5 health clubs in 2008

:

Total number : 4200

Distribution of total number of male members in 5 health clubs in 2008 : Total number : 2400

Number of male members in health clubs A and D increased by equal number from 2008 to 2009. If the respective ratio between number of male members in health club A and that in D in 2009 is 17 : 11, what is the number of male members in health club D in 2009?

Correct Answer: (2) 352
Solution:Number of male members
in 2008 :

480+x/288+x = 17/11
 4896 + 11x = 5280 - 17x
17x + 17x = 5280 - 4896
6x = 384
x = = 64
Number of male members in health club D in 2009
= 288 + 64 = 352

27. Refer to the pie-charts and answer the given questions.

Distribution of total number of members (both males & females) in 5 health clubs in 2008

:

Total number : 4200

Distribution of total number of male members in 5 health clubs in 2008 : Total number : 2400

What is the average number of female members in health clubs, C, D and E?

Correct Answer: (1) 374
Solution:Total members in health
clubs C, D and E

28. Refer to the pie-charts and answer the given questions.

Distribution of total number of members (both males & females) in 5 health clubs in 2008

:

Total number : 4200

Distribution of total number of male members in 5 health clubs in 2008 : Total number : 2400

Only 50% of the members (both males & females) in health club E have lifetime membership. If the number of females in health club E who have lifetime membership is 44, what percent of male members in health club E have lifetime membership?

Correct Answer: (4) 51 ²⁄₃
Solution:Total members health club E

155/3 = 51 ²⁄₃

29. Refer to the pie-charts and answer the given questions.

Distribution of total number of members (both males & females) in 5 health clubs in 2008

:

Total number : 4200

Distribution of total number of male members in 5 health clubs in 2008 : Total number : 2400

What is the central angle corresponding to number of members (both males & females) in health club B?

Correct Answer: (3) 86.4°
Solution:∴ 100% = 360º
24% =   24
86.4°

30. Refer to the pie-charts and answer the given questions.

Distribution of total number of members (both males & females) in 5 health clubs in 2008

:

Total number : 4200

Distribution of total number of male members in 5 health clubs in 2008 : Total number : 2400

Number of female members in health club A is what percent less than number of male members in health club B?

Correct Answer: (5) 54
Solution:Total members in health
club A