# Mixed Quantitative Aptitude Questions Set 222

1. While we add 4 to the numerator of the fraction and increases denominator by 50% then both become equal. When the numerator is increased by 5 and denominator is doubled then it becomes equal to the original fraction. What will be two times of that fraction ?
2/5
5/3
2/7
4/5
4/3
Option B
Let the numerator and denominator of a fraction be x and y respectively.
ATQ, x + 4 = 3y/2
x + 5/2y = x/y
by solving two equations,
x = 5, y = 6
original fraction = 5/6
required fraction = 5/6 * 2 = 5/3

2. Two dices are rolled together, then find probability of getting a number of one dice greater than the number on other dice ?
2/3
7/6
5/6
2/5
4/7
Option C
total number of cases = 6 * 6 = 36
total cases of getting same number = (1,1), (2,2), 3,3), (4,4), (5,5), (6,6) = 6
probability = 1 – 6/36 = 5/6

3. P, Q, R are three inlet pipes. Time taken by P and Q together to fill half of the tank is same as time taken by pipe R alone to fill one-sixth of the tank. If P, Q, R together can fill the tank in 9 hours, then find time taken by pipe R alone to fill the tank ?
34 hours
42 hours
24 hours
36 yours
40 yours
Option D
ATQ, 2(P+Q) = 6R
P + Q = 3R
P + Q + R = 1/9
4R = 1/9
R = 36 hours

4. A man cuts a square field of maximum possible area from his circular field. Find the area of the remaining circular field, if the cost of grass cutting of the square field at rs. 4 per m^2 is rs.882 ?
154 m^2
126 m^2
200 m^2
348 m^2
180 m^2
Option B
Let side of square be = a meters
radius of circle = r meters
area of the square field = 220.5 m^2
diagonal of the square field = 21 m
radius of the circular field = 10.5 m
area of the circular field = 346.5 m^2
area of the remaining circular field = 126 m^2

5. Rohit invested rs.1600 on CI for two years at the rate of R% p.a and gets amount of rs.2304. If man invested same sum on SI for same period of time at the rate of ( R – 8)%, then find interest he will get ?
450
384
420
640
260
Option B
ATQ,
2304 = 1600 ( 1 + R/100)^2
48/40 = ( 1 + R/100)
R = 20%
New rate = (20 – 8) = 12%
required interest = 1600 * 12 * 2/100 = 384

6. directions : What will be come in place of questions marks (?) in the following questions given below ?
428, 434, 446, 466, 496 ?
620
538
580
650
940
Option B
The series is, +(2 * 3), +(3 * 4), +(4 * 5), +(5 * 6), +(6 * 7)

7. 187, 193, 205, ?, 277, 373
198
229
240
350
270
Option B
The series is (+6), (+12), (+24), (+48), (+96)

8. 144, 72, 108, 270, ?, 4252.5
320
620
825
945
480
Option D
The series is, (* .5), (* 1.5), (* 2.5), (* 3.5), (* 4.5)

9. 81, ? 76, 92, 67, 103
73
85
65
76
84
Option B
The series is, (+ 2^2), (- 3^2), (+ 4^2), (- 5^2), (+ 6^2)

10. 11, 13, 22, ?, 115, 241
48
56
75
50
82
Option D
the series is, +(1^3 + 1), +(2^3 + 1), +(3^3 + 1), +(4^3 + 1), + (5^3 + 1)