1. X borrows a sum of Rs.100,000 from a bank @ 10% p.a. compounded annually for 2 years. He then lends Rs.20,000, compounded every 8 months @ 10%, to each of his five friends for a period of two years. At the end of two years, X collects all the money from his friends and clears his debt with the bank. How much money did X make at the end of the two-year period ?
A. 12,100
B. 14,100
C. 15,100
D. 4,971
E. 13,200
Sol. The amount to be paid to bank after 2 years will be 100000 × (1.1)^2 = Rs.121,000.
A 2-year period will be made up of three 8-month periods, each of which will cost each of the friends 10%.
The amount that each of the friends will pay back after 2 years will be 20000 × (1.1)^3 =Rs.26620.
So, the total sum of money collected from the five friends will be 5 × 26620 = Rs.133,100.
After clearing his debt with the bank, X will have made 133100 – 121000 = Rs.12,100.
2. X lent Rs 2500 to Y for 4 years and Rs 4000 to Z for 3 years on simple interest at the same rate of interest and received Rs 4400 in all from both of them as interest. The rate of interest per annum is:
A. 25%
B. 17%
C. 22%
D. 20%
E. None of these
Sol. Let the rate of interest be R%. Then,
(2500*R*4)/100 + (4000*R*3)/100 = 4400
R = 4400/220 = 20%.
Directions(3-6): Find the missing numbers in the given series:
3. 7, 9, 23, 121, 839, _
A. 7650
B. 7561
C. 7542
D. 7560
E. 7652
Sol. 7*1 + 2 = 9
9*3 - 4 = 23
23*5 + 6 = 121
121*7 - 8 = 839
839*9 + 10 =7561
4. 6, 8, 16, 34, 66, _
A. 120
B. 122
C. 115
D. 116
E. 124
Sol. 6 + 2*1^2 = 8
8 + 2*2^2 = 16
16 + 2*3^2 = 34
34 + 2*4^2 = 66
66 + 2*5^2 = 116
5. 90, 89, 58, 53, 34, _
A. 22
B. 24
C. 25
D. 26
E. 21
Sol. 10^2 - 10 = 90
9^2 + 8 = 89
8^2 - 6 = 58
7^2 + 4 = 53
6^2 - 2 = 34
5^2 + 0 = 25
6. 50, 26, 14, 8, 5, _
A. 4
B. 3
C. 3.5
D. 2.5
E. 4.5
Sol. 50/2 + 1 = 26
26/2 + 1 = 14
14/2 + 1 = 8
8/2 + 1 = 5
5/2 + 1 = 3.5
7. 3 years ago, the average age of a family of 5 members was 17 years. With the birth of a new baby, the average age of six members remains the same even today. Find the age of the new baby.
A. 1 year
B. 2 year
C. 3/2 year
D. 4 year
E. None of these
Sol. Sum of present age of the six members = (17 × 6) = 102 years.
Average of the present age of the 5 members (excluding baby) = 17 + 3 = 20 years.
Sum of present ages of the 5 members = 5 × 20 = 100 years.
Age of the baby = 102 – 100 = 2 years.
8. X gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Y gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?
A. 19
B. 28
C. 30
D. 37
E. None of these
Sol. Suppose their paths cross after x minutes.
Then, 11 + 57x = 51 - 63x
120x = 40
x = 3
Number of floors covered by X in (1/3) min. = 1 x 57 = 19.
So, their paths cross at (11 +19) i.e., 30th floor.
9. X, Y and Z started a business investing Rs 9000, 12000, 10000 respectively. X kept the money for whole year. Y took his entire amount after 3 months and Z with drew 3000 Rs after 3 months. If after a year, the total profit was Rs 7,900, what was X’s share in it?
A. Rs 4,000
B. Rs 3,600
C. Rs 3900
D. Rs 3500
E. None of these
Sol. In partnership problems profit earned is directly proportional to the product of Investment and Time period for which investment was made in the partnership business.
Required ratio of profit distribution among X, Y, and Z respectively will be as followed,
= 9 × 12: 12 × 3: 10 × 3 + 7 × 9 = 36: 12:31,
hence X will get 36/(36 + 12 + 31) × 7900 = Rs 3600.
10. X sells a tube to B at a profit of 25% and Y sells it to Z at profit of 20%. If Z pays Rs 450 for it, what did X pay for it?
A. Rs 240
B. Rs 247.5
C. Rs 300
D. Rs 500
E. None of these
Sol. Let X paid = Rs x
120% of 125 % of x = 450
(120/100) × (125/100) × x = 450
x = Rs 300.
For more Updates & Notifications for bank exams like SBI PO, SBI CLERK, IBPS PO, IBPS RRB, IBPS CLERK, IBPS SO, NIACL, SSC CHSL, SSC CGL etc. like our facebook page at :
0 comments:
Post a Comment