IBPS Clerk Mains 2016-17 (Important Questions-2)

IBPS Clerk Mains 2016-17 (Important Questions-2)

Directions (1-5): Find out the wrong number in the given series:

1. 23, 30, 50, 153, 616, 3085

A. 30
B. 50
C. 153
D. 616
E. None of these

Sol. 30
*1 + 1, *2 + 2, *3 + 3,

2. 5, 9, 19, 37, 75, 150, 299

A. 9
B. 75
C. 150
D. 299
E. None of these

Sol. 150
*2 – 1, *2 + 1, *2 – 1, *2 + 1,

3. 6, 11, 18, 32, 42, 61

A. 6
B. 11
C. 32
D. 61
E. None of these

Sol. 32
Difference of difference series

4. 152, 310, 912, 3648, 18240

A. 152
B. 310
C. 912
D. 3648
E. None of these

Sol. 310
*2, *3, *4, *5,

5. 101, 122, 148, 170, 197, 226, 257

A. 122
B. 148
C. 197
D. 226
E. None of these

Sol. 148
10^2 + 1, 11^2 + 1, 12^2 + 1, 13^2 + 1,

6. If a company sells a car with a marked price of Rs. 2,72,000 and gives a discount of 4% on Rs. 2,00,000 and 2.5% on the remaining amount of Rs. 72,000, then the actual price charged by the company for the car is:

A. Rs. 2,50,000 
B. Rs. 2,55,000
C. Rs. 2,60,100
D. Rs. 2,62,200
E. None of these

Sol. M.P. = Rs. 272000.
Discount = Rs. [(4% of 200000) + (2.5% of 72000)] = Rs. (8000 + 1800) = Rs. 9800.
Actual price = Rs. (272000 – 9800) = Rs. 262200.

7. The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

A. 4 years
B. 8 years
C. 10 years
D. 6 years
E. None of these

Sol. Let the ages of the children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
5x = 20
x = 4.
Age of the youngest child = x = 4 years.

8. An amount of Rs. 2430 is divided among A, B and C such that if their shares be reduced by Rs. 5, Rs. 10 and Rs. 15 respectively, the remainders shall be in the ratio of 3 : 4 : 5. Then, B’s share was:

A. Rs. 605
B. Rs. 790
C. Rs. 800
D. Rs. 810
E. None of these

Sol. Remainder = Rs [2430 - (5+10+15)] = Rs 2400.
B's share = Rs[(2400*4/12) + 10] = Rs 810.

9. If inflation increases at a rate of 8% p.a., what will a Rs. 20 article cost at the end of two years?

A. Between Rs. 20 and Rs. 21
B. Between Rs. 21 and Rs. 22
C. Between Rs. 22 and Rs. 23
D. Between Rs. 23 and Rs. 24
E. None of these

Sol. Cost after 2 years = Rs[20*(1 + 8/100)^2]
= Rs(20*27*27)/(25*25) = Rs 23.33

10. A man travels 600 km by train at 80 km/hr, 800 km by ship at 40 km/hr, 500 km by aeroplane at 400 km/hr and 100 km by car at 50 km/hr. What is the average speed for the entire distance?

A. 60 km/hr
B. 605/123 km/hr
C. 62 km/hr
D. 655/123 km/hr
E. None of these

Sol. Total distance travelled = (600+800+500+100) = 2000 km.
Total time taken = (600/80 + 800/40 + 500/400 + 100/50) = 123/4 hrs.
Average speed = (2000*4/123) = 8000/123 km/hr.

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