1. Rahul scored 48 marks in the maths examination and failed by 15 marks. The passing percentage is 35% for this exam. What is the maximum marks for the maths examination ?
A. 150
B. 120
C. 180
D. 200
E. None of these
Sol. Let the maximum marks be 'x'
Then, 0.35x = 48 + 15
Solving, x = 180.
2. The ratio of the number of boys and girls in a school is 4:3. If 15% of the boys and 10% of the girls are scholarship holders, then the percentage of the students who do not get the scholarship, is
A. 87.14%
B. 82.14%
C. 88.42%
D. 85.16%
E. None of these
Sol. Let no. of boys be 4x
And no. of girls be 3x.
Then, scholarship boys = 0.15*4x = 0.6x
Scholarship girls = 0.1*3x = 0.3x
% non-scholarship students = [(7x-0.9x)/7x]*100 = 87.14%.
3. Mahesh is 36 years old and his son is 10 years old. After how many years mahesh will be twice his son's age ?
A. 8
B. 12
C. 16
D. 20
E. None of these
Sol. Lets the years be 'x'
Then, 36 + x = 2(10 + x)
Solving, x = 16 years.
4. The ages of two persons are in the ratio of 5 : 7. Sixteen years ago, their ages were in the ratio of 3 : 5. Find the sum of their ages ?
A. 84
B. 100
C. 96
D. 72
E. None of these
Sol. Let ages be 5x and 7x.
Then, (5x-16)/(7x-16) = 3/5
Solving, x = 8
Thus, sum = 12x = 96.
5. 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.
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. 120, 170, 224, 280, 360, _
A. 392
B. 442
C. 458
D. 528
E. 540
Sol. 11^2 – 1 = 120
13^2 + 1 = 170
15^2 – 1 = 224
17^2 + 1 = 280
19^2 – 1 = 360
21^2 + 1 = 442.
8. 13, 17, 33, 97, _, 1377
A. 332
B. 353
C. 388
D. 396
E. 340
Sol. 13 + 4 = 17; 17 + 16 = 33; 33 + 64 = 97....
9. 5, 11, 24, 44, 71, _
A. 102
B. 105
C. 112
D. 101
E. None of these
Sol. 5 + 6 = 11
11 + 13= 24
24 + 20= 71
71 + 27= 105
13 - 6 = 7
20 - 13= 7
27 - 20= 7
10. 6, 4, 5, 11, 39, _
A. 170
B. 185
C. 165
D. 189
E. None of these
Sol. 6*1 - 2 = 4
4*2 - 3 = 5
5*3 - 4 = 11
11*4 - 5 = 39
39*5 - 6 = 189.
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