# Mixed Quantitative Aptitude Questions Set 72

1. A man can row 8 km/hr in still water. If the speed of the current is 4 km/hr, its takes 2 hrs more in upstream than in the downstream for the same distance. Find distance.
10km
12km
14km
8km
16km
Option B
Let the distance be x. x/4 – x/12 = 2 Hence, x= 12km

2. The average of a batsman after 24 innings was 52 runs per innings. If after the 25th innings his average age increased by 2 runs , then find his score in the 25th inning?
110
108
114
102
98
Option D
Runs in 25th inning = Runs total after 25 innings – Runs total after 24 innings = 25 * 54 – 24 * 52 = 1350 – 1248 = 102

3. A jar was full of sugar solution. A person used to draw out 20% of the solution from the jar and replace with salt solution. He performs the same process 4 times and thus there was only 512 gm of sugar left in the jar, the rest part of the jar was filled with the salt solution. What is the initial amount of sugar in the jar?
0.25kg
1.15kg
1.00kg
0.52kg
1.25kg
Option E
Let the initial amount of sugar in the jar be x. Then, 512 = x (1 – (1/5))^4 x = 1250 Hence , the initial amount of sugar is 1.25kg.

4. There are 12000 students in 4 schools of a city. If one-third of the first, two-third of the second, three-fourth of the third and four-fifth of the fourth are the same no. of students, then find the ratio of number of students of A and D if A,B, C and D be the first, second, third and fourth schools respectively.
11:4
12:5
9:7
10:11
None of these
Option B
A/3 = 2/3B = 3/4C = 4/5D => A/D = 12/5 Hence, Ratio is 12:5.

5. P and Q walk around a circular track. They start at 6a.m. from the same point in the opposite directions. Both walk at a speed of 3 rounds per hour and 4 rounds per hour respectively. How many times shall they cross each other before 8a.m. ?
8 times
5 times
7 times
3 times
10 times
Option E
Relative speed = (3+4) = 7 rounds per hour So, they cross 7 times in an hour and 3 times in next one hour. Total 10 times they cross each other in two hours.

6. A closed wooden box measures externally 8 cm long, 6 cm broad, 4 cm high. If the thickness of the wood is half a cm, find the capacity of the box.
95 cu.cm
98 cu.cm
105 cu.cm
111 cu.cm
103 cu.cm
Option C
Capacity = (8 – 2 *0.5)*(6 – 2 *0.5)*(4 – 2*0.5) = 7*5*3 = 105 cu.cm

7. The wages of laborers in a factory increased in the ratio 22 : 25 and there was a reduction in their number in the ratio 15 : 11. Find the original wage bill if the present bill is Rs 5000.
6000
5120
4450
5500
4200
Option A
Ratio of the total wages = (22*15)/(15*11) = 6/5 Present Bill = 5000 Original Bill = 5000*(6/5) = 6000

8. The difference between a two-digit number and the number obtained by interchanging the digits is 36. The sum of the digits is 12 and the digit at tens place is bigger than the digit at the unit’s place. What is the two-digit number?
75
84
60
92
62
Option B
(10x – y ) – (10y – x) = 36 => x – y = 4 x + y = 12 x = 8 , y = 4 Hence, Number = 84

9. There are 3 copies of Maths , 4 copies Reasoning, 5 copies of English. In how many ways can you arrange these books on a shelf?
21003 ways
15475 ways
45280 ways
27720 ways
None of these
Option D
Required Number = 12!/(3!*4!*5!) = 27720 ways

10. How many words can be formed with the letters of the word ‘POWER ’ when “W” is always in the middle.
12 ways
15 ways
24 ways
21 ways
None of these
Option C
When “W” is fixed in the middle. P- O- (W)- E- R Four letters will be arranged = 4! = 24 ways

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