RBI Assistant Prelims 2016-17 (Important Questions-10)

RBI Assistant Prelims 2016-17 (Important Questions-10)

1. 5 years ago, the ratio of age of Rajesh and his son was 12:5. 5 years hence, Rajesh's age is 10 years more than double his son's age. Find present Rajesh's age ?

A. 60
B. 65
C. 70
D. 75
E. None of these

Sol. Lets assume Rajeesh's present age to be 'x'
And his son's present age to be 'y'

According to the question, 
(x-5)/(y-5) = 12/5

and 

(x+5) = 2(y+5) + 10

Solving these, we get,
x = 65 years.

2. Two cards are drawn from a peck of 52 cars, one after another without replacement, such that if 1st card drawn is honour card then 2nd card will also be a honour card. Find the probability of getting atleast 1 honour card ?

A. (36*35)/(52*51)
B. (16*15)/(52*51)
C. 1 - (36*35)/(52*51)
D. 1 - (16*15)/(52*51)
E. None of these

Sol. Probability of having atleast one honour card = 1 - probability of drawing none honour card.
Thus, Probability of drawing no honour card = (36/52)*(35*51)
Therefore, required prob. = 1 - (36*35)/(52*51).

3. Rajesh sells two maachines each of Rs 8400 to Mahesh such that no profit or loss is made. If he sold 1st one for 20% gains then what loss% he sold the 2nd one ?

A. 15%
B. 20%
C. 25%
D. 10%
E. None of these

Sol. As cost of both product is same thus to negate the 20% gain it should be 20% loss.

4. Ashish spends 20% in rent, 70% of the rest in house-hold expenses and saves Rs 1800. Find his income ?

A. 6000
B. 7000
C. 7500
D. 6500
E. None of these

Sol. Lets assume Ashish's income to be 'x'
Then, Rent = 20x/100 = 0.2x
House-hold expenses = (70/100)*(80x/100) = 0.56x

According to the question,
x - (0.2x + 0.56x) = 1800
Solving, x = Rs 7,500.

5. X and Y invested in a business in the ratio of 5:6. At the end of 8 months X withdraws from it. If the profit is in the ratio of 5:9. For how long Y's investment was used ?

A. 10 months
B. 11 months
C. 12 months
D. 15 months
E. None of these

Sol. Lets assume the number of months Y made his investment be 'y'.
Then, (5*8)/(6*y) = 5/9
Solving, y = 12 months.

Directions(6-10): What should come in place of (_) in th following series:

6. 14, 6, 4, 4, 8, _

A. 26
B. 32
C. 46
D. 27
E. None of these

Sol. B.32
     14 * 1 – 8 = 6
      6 * 2 – 8 = 4
      4 * 3 – 8 = 4

7. 6, 16, 45, 184, 917, _

A. 5506
B. 4756
C. 5786
D. 5686
E. None of these 

Sol. A.5506
     6 * 2 + 4 = 16
    16 * 3 – 3 = 45
    45 * 4 + 4 = 184

8. 24, 28, 19, 35, 10, _

A. 46
B. 56
C. 66
D. 65
E. None of these

Sol. A.46 
    24 + 4 = 28
    28 – 9 = 19
    19 + 16 = 35 

9. 15, 22, 36, 64, _, 232

A. 120
B. 140
C. 180
D. 150
E. None of these

Sol. A.120
     22 – 15 = 7
     36 – 22 = 14
     64 – 36 = 28

10. 12, 8, 16, 48, 184, _

A. 560
B. 420
C. 860
D. 550
E. None of these

Sol. C.860
     12 * 0.5 + 2 = 8
      8 * 1.5 + 4 = 16

     16 * 2.5 + 8 = 48

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