- 21
- 22
- 23
- 24
- C
Assistant Director
All Assistant Director (AD) Current & Past Solved Papers are included in this section of ETEST Academy’s Website. Assistant Director (AD) Papers of all departments are solved with detailed answers.
In a class of 52 students, the number of boys is two less than the number of girls. Average weight of the boys is 42 Kg, while the average weight of all students is 40 Kg. Approximately what is the average Wight of girls?
- 40 Kg
- 38 Kg
- 35 Kg
- 30 Kg
- B
-
All Students=52
Boys in two less than girls=25
Girls=27
Total Weight of boys=25*42=1050
Total Weight of all students=40*52=2080
Total Weight of girls=2080-1050=1030
Average Weight of Girls=1030/27=38.14 kg
If the arithmetic mean of 6 numbers is 45, what is the total sum of these numbers?
- 27
- 45
- 150
- 270
- d
-
Sum of Observations=x
No of Observations=06
Mean=Sum of Observations / No of Observations
Mean=x/6
45=x/6
45*6=x
270=x
The mean of 100 items was found to be 30. If at the time of calculation, two items were wrongly taken as 32 and 12 instead of 23 and 11. Then correct mean is _____
- 29.8
- 29.9
- 30.0
- 30.1
- B
In 1 Kg mixture of sand and iron, 20% is iron. How much sand should be added so that proportion of iron become 10%.
- 200 gms
- 500 gms
- 1 Kg
- 1 Ton
- C
-
1 Kg=1000 g
Amount of Iron in mixture=20% of Sand
20/100*1000=200 g
Amount of Sand=1000-200=800g
Let the sand added “x”
Iron=10/100(1000+x)
200=1/10(1000+x)
2000=1000+x
2000-1000=x
1000=x
9% of 64+32% of 90=?
- 34.56
- 40.56
- 55.52
- 25.26
- a
-
9% of 64 = 9/100*64=5.76
32% of 90=32/100*90=28.8
5.76+28.8=34.56
In an examination, 65% of the total examines passed. If the number of failures is 420, the total number of examines is_____
- 500
- 1500
- 1200
- 1800
- C
-
Let total examines is X
65% examines has passed
Failed examines=100-65=35%
Number of Failures= 420
35% of X = 420
35/100* X=420
X=420*100/35
X=1200
How is ½% expressed as a decimal fraction?
- 0.005
- 0.05
- 0.5
- None of these
- a
-
1/2 %
1/2*1/100
1/200
0.005
The ratio of A’s and B’s salary is 9:4. If A’s salary is increased by 15%, then his total salary becomes Rs.5175. What is the salary of B?
- Rs.4000
- Rs.3000
- Rs.2000
- Rs.1000
- C
-
Let the salaries of A & B= 9x & 4x
What is 15% of A Salary=?
15/100*9x=27/20x
Now, The salary of A
9x + 27/20 x=5175
(180x+27x) / 20=5175
207x/20=5175
207x=5175*20
207x=103500
x=103500/207
x=500
The salary of B is =4x
4x=4 (500)
B=2000
The mean proportion of 0.25 and 0.04 is _____
- 0.1
- 0.01
- 0.01
- None of these
- a
-
0.25 : x :: x : 0.04
x*x=0.25*0.04
x2=0.01
(Square Root of both sides)
X=0.1