Directions (1-5): What will come in place of (_) in the following number series :
1. 7, 20, 46, 85, _, 202
A. 136
B. 135
C. 137
D. 138
E. 141
Sol. 20 - 7 = 13
46 - 20 = 26
85 - 46 = 39
Thus, 85 + 52 = 137.
2. 4, 13, 40, 121, _, 1093
A. 365
B. 364
C. 366
D. 368
E. None of these
Sol. 13 - 4 = 9
40 - 13= 27
121 - 40= 81
Thus, 121 + 243 = 364.
3. 17, 18, 14, 23, 7, _
A. 30
B. 32
C. 33
D. 36
E. 39
Sol. 18 - 17 = 1
14 - 18 =-4
23 - 14 = 9
7 - 23 =-16
Thus, 7 + 25 = 32.
4. 2180, 2179, 2152, 2027, _
A. 1780
B. 1684
C. 1500
D. 1980
E. None of these
Sol. 2179 - 2180 =-1
2152 - 2179 =-27
2027 - 2152 =-125
Thus, 2027 - 343 = 1684.
5. 6, 10, 19, 32, 48, _
A. 64
B. 65
C. 66
D. 67
E. 68
Sol. 10 - 6 = 4
19 - 10= 9
32 - 19= 13
48 - 32= 16
9 - 4 = 5
13 - 9 = 4
16 - 13= 3
Thus, 16 + 2 = 18
Therefore, 48 + 18 = 66.
6. 5 years ago the age of A was one-third the age of B, and sum of their present ages is 70. Then find the age of A, 5 years after ?
A. 15
B. 20
C. 25
D. 30
E. None of these
Sol. Lets assume B's age 5 years ago be 'x'
Then A's age 5 years ago was x/3
According to the question,
x + 5 + x/3 + 5 = 70
Solving, x = 45
Thus, A's present age = 45/3 + 5 = 20
A's age 5 years after = 20 + 5 = 25 years.
7. If 40% of X is added to Y, the resultant is one-fifth more than Y. Calculate ratio X:Y ?
A. 2:3
B. 1:2
C. 3:4
D. 1:4
E. 1:5
Sol. According to the question,
0.4X + Y = Y + Y/5
Solving, X/Y = 1/2
Thus, X:Y = 1:2.
8. Shiya's income is 25% more than Aman, and if each save 1/3 of their incomes, and total of their savings is Rs 11000. What is the difference in their incomes ?
A. 3500
B. 3666.67
C. 4666.67
D. 4500
E. None of these
Sol. Lets assume Aman's income be 'x'
Then, Shiya's income is 1.25x
According to the question,
1.25x/3 + x/3 = 11000
Solving, x = 14666.67
Difference in incomes = 0.25*14666.67 = Rs 3666.67
9. In a lab, two chemical solutions Sulphuric Acid with 94% purity and Hydrochloric Acid with 96% purity are mixed resulting in 24 litres of mixture of 95% purity. How much is the quantity of the Sulphuric Acid in the resulting mixture ?
A. 12
B. 21
C. 20
D. 16
E. 18
Sol. 94x + (24 – x)* 96 = 24 * 95
2x = 24
x = 12.
10. A basket contains 5 red 4 blue 3 green balls. If three balls picked up random, What is the probability that at least one ball is blue ?
A. 41/55
B. 53/55
C. 47/55
D. 49/55
E. 31/55
Sol. Total Balls = 12
Other than blue = 8c3/12c3 = 14/55
Probability = 1-14/55 = 41/55.
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