Directions(1-5): What should come in place of question mark (?) in the following series:
1. 8, 13, 5, 10, 2, ?
A. 5
B. 6
C. 7
D. 8
E. None of these
Sol. 8 + 5 = 13
13 - 8 = 5
5 + 5 = 10
10 - 8 = 2
2 + 5 = 7
2. 9, 21, 45, 93, 189, ?
A. 361
B. 389
C. 381
D. 379
E. None of these
Sol. 9 + 6*(2^1) = 21
21 + 6*(2^2) = 45
45 + 6*(2^3) = 93
93 + 6*(2^4) = 189
189 + 6*(2^5) = 381
3. 16, 24, 60, 210, 945, ?
A. 5197.5
B. 5200
C. 5215.5
D. 5205.5
E. None of these
Sol. *1.5, *2.5, *3.5, *4.5, *5.5
4. 31, 34, 71, 216, 867, ?
A. 4338
B. 4348
C. 4368
D. 4388
E. None of these
Sol. *1 + 3, *2 + 3, *3 + 3, *4 + 3, *5 + 3
5. 3, 10, 18, 28, ?
A. 43
B. 41
C. 42
D. 46
E. None of these
Sol. Difference of the difference is : 1, 2, 3.
Thus, answer is 41.
6. The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water?
(a)8 : 3
(b)7 : 5
(c)4 : 3
(d)2 : 3
(e)none of these
Sol. (1/2-2/5) / (4/7 - 1/2)
Required Ratio = 14/10
= 7 : 5
7. The average price of 10 books is Rs.12 while the average price of 8 of these books is Rs.11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what is the price of each of these two books?
(a)Rs. 5, Rs.7.50
(b)Rs. 8, Rs. 12
(c)Rs. 10, Rs. 16
(d)Rs. 12, Rs. 14
(e)None of these
Sol. Sum of price of the remaining two
Books = (12 * 10) – (11.75 * 8)
= 26
Let cost of First book be x
x + 160x/100 = 26
260x/100 = 26
x = 10
Price of second book = 10 + 6 = 16.
8. Simple interest on the sum of money of Rs.2600 for 2 years at X% per annum is 832. Then what is the interest on Rs.3600 for 3 years at X+3% per annum ?
A. 2000
B. 2068
C. 2052
D. 2130
E. None of these
Sol. As given,
832 = 2600*2*X/100
Thus, X = 16
Now, S.I. = [3600*(16+3)*3]/100
Solving, S.I. = Rs 2052.
9. A sum of Rs 4600 is invested in two different schemes. Scheme A offers 8% rate of interest per annum for 3 years and scheme B offers 10% rate of interest compounded annually for 2 years. If after investing the amount in both schemes, the difference in interests received is Rs 24, find the amount invested in scheme B ?
A. 2100
B. 2400
C. 2500
D. 2600
E. None of these
Sol. (4600-x)*8*3/100 – [x (1 + 10/100)^2 – x] = 24
Solve, x = 2400.
10. The ratio of X’s 3 years hence and Y’s age 3 years ago is 4 : 3. After 7 years from now X’s age will be 10 less than twice Y’s present age. Find the difference between the ages of both ?
A. 3
B. 4
C. 5
D. 2
E. None of these
Sol. (X+3)/(Y-3) = 4/3
so, 3X – 4Y = -21
Also (X+7) = 2Y – 10, so X – 2Y = -17
Solve, both equations, X = 13, Y = 15
Thus, difference = 15 - 13 = 2.
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