# Mixed Quantitative Aptitude Questions Set 166

1. If A can complete a work in 30 days, B can do the same work in 36 days, If after doing 5 days, leaves the work.Find in how many days B will do the remaining work ?
40
20
50
30
10
Option D
A = 1/30, B = 1/42
6 days work = 5*1/30 = 1/6
Remaining = 5/6
B = 5*36/6 = 30 Days

2. P is 20 % more efficient than Q, how much time will they working together take to complete a job which P alone could have done in 20 days ?
9
12
10
13
11
Option E
P : Q = 100 : 120
10/12 = 20/x
12/10 = x/20
X = 24
Q = 1/24 or 20*120/100 = 24
P+Q = 1/20 + 1/24
= 24+20/480 = 44/480 = 10.91 = 11 days (Approx.)

3. The ratio of the number of boys to that of girls in a school is 3:2. If 30% of boys and 70% of girls appeared in an examination, the ratio of students appeared in the examinations to that not appeared in the examination is:
21 : 23
23 : 28
29 : 27
23 : 21
23 : 27
Option E
3:2 = 30:20
30% boys = (30/100) Ã— 30= 9
70% girls = (70/100) Ã— 20 = 14
(9+14) : (50-23) = 23 : 27

4. The prices of two articles are in the ratio 3 : 4. If the price of the first article be increased by 10% and that of the second by Rs. 4, the original ratio remains the same. The original price of the second article is:
Rs. 48
Rs. 61
Rs. 52
Rs. 40
Rs. 45
Option D
Let the price of two articles are 3X and 4X.
After increment the ratio will be:
110% of 3x/(4X+4) = 3/4
x=10
Thus the CP of second article = 4X = 4*10 = Rs. 40

5. The average salary of 120 employees of a company is Rs.15,000 per month. If the no of juniors is thrice the no of seniors and average salary of juniors is 1/3rd of the average salary of seniors then find the average salary of seniors ?
25000
41000
30000
32000
28000
Option C
120 = 1:3 =30:90 = Senior : Junior
120*15000 = 30*x+ 90 *x/3
18,00,000 = 90x+90x/ 3
54,00,000*3 = 180x
X = 30000

6. In a class the average weight of 20 students is 60 kg. Also if the weight of the teacher is added, the average is increased by 2kg. Find the teacherâ€™s weight ?
90
95
102
100
110
Option C
x/20 =60; x = 1200
x/21 = 62; x = 1302
1302 â€“ 1200 = 102 kg

7. The average income of A, B and C is Rs. 12,000 per month and average income of B, C and D is Rs. 15,000 per month. If the average salary of D be twice that of A, then the average salary of B and C is in Rs.?
14,200
12,000
13,500
11,500
10,500
Option C
A + B + C = 12000*3
B + C + D = 15000*3
D â€“ A = 3000*3 = 9000
D = 2A
D = 18000 and A = 9000
Average salary of B and C,
= (45000-18000)/2 = 13,500

8. The average age of a family of 9 members is 22 years. Arun is the youngest and his age is 6 years, then what was the average age of the family just before Arun was born?
15
20
16
18
14
Option D
Average Age = (9*22 â€“ 9*6)/8 = 18

9. The average of four numbers is 24.5. of the four numbers, the first is 1.5 times the second, the second is 1/3 rd of the third, and the third is 2 times the fourth number. Then what is smallest of all those numbers?
10
16
19
14
20
Option D
First = 1.5x Second = x Third = 3x Fourth = 1.5x
average = 24.5 = (1.5x+x+3x+1.5x)/4
x = 14

10. From a pack of 52 cards, 2 cards are drawn at random. What is the probability that either both are red or both are kings?
53/223
53/220
55/221
52/221
55/219
Option C
Required Probability = 26C2/52C2 + 4C2/52C2 – 2C2/52C2 = 55/221

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