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Question 1 of 10
1. Question
Jenny is 20 years older than Benny. 12 years ago, Jenny was twice as old as Benny. How old is Benny?
Correct
Incorrect
Correct Answer: 32
J = B + 20 —–(i)
J12 = 2((B12)
J = 2B – 12 —–(ii)
Subtract (i) from (ii)
0 = B – 32
B = 32 
Question 2 of 10
2. Question
Smith has two packets A and B, whose total weight is 75 kg. If packet B weighs 15 kg less than
twice of packet A’s weight, how much does does packet B weigh?Correct
Incorrect
Correct Answer: 45 Kg
A + B = 75 —( i)
B = 2A 15
2A – B = 15 —–(ii)
Adding (i) and (ii)
3A = 90
A = 30
B =45 
Question 3 of 10
3. Question
Sam spends 72.50 on 50 food packets for a college function. If small packet costs 1.00 each and bigger packet costs 1.50 each, how many bigger packets did he buy?
Correct
Incorrect
Correct Answer:45
s + b = 50 —–(i)
s + 1.5 b = 72.50 —(ii)
Subtract (i) from (ii)
0.5 b = 22.50
b = 45 
Question 4 of 10
4. Question
Merry is 4 times older than Smith. In 6 years, Smith will be twice as old as Tom. If 4 years from now, Merry will be 36 years old, how old will Tom be in 6 years?
Correct
Incorrect
Correct Answer: 7 years
M = 4S —(i)
S+ 6 = 2 (T+6) —(ii)
M + 4 =36 —(iii)
M = 32
S = M /4 = 8 ( using i)
S+6 = 2T +12
8+6 = 2T + 12
1412 = 2T
T = 1
In 6 years T will be 1+6 = 7 years. 
Question 5 of 10
5. Question
Company A charges base rate of 20 for service and an additional charge of 0.25 per minute. Company B charges base rate of rupees 22 for service and additional charge of 0.20 per minute. For what minutes of time would the bills of each of the companies be same?
Correct
Incorrect
Correct Answer:40
Let m be the number of minutes
A call made by company A costs = 20 + 0.25x
A call made by company B costs = 22 + 0.20x
20 + 0.25 x = 22 + 0.20 x
(0.25 – 0.20) x = 2
0.05 x = 2
x = 40 
Question 6 of 10
6. Question
The population of butterflies doubles in a particular garden every year . Approximately how many years will it take the population to grow from 2000 butterflies to 1,00,000 or more?
Correct
Incorrect
Correct Answer: 7 years
1 year = 2000
2 years = 4000
3 years = 8000
4 years = 16000
5 years = 32 000
6 years = 64000
7 years = 128000 
Question 7 of 10
7. Question
Point X is 60 km away from Point Y. One hour after Andy started cycling from A towards B Sam started cycling as well. Andy walks 3 km per hour, and Sam walks 1 km per hour faster than Andy. How far from X will Andy be when Sam catches up to Andy?
Correct
Incorrect
Correct Answer: 12 km
Andy Sam
———————————
Speed 3 km/h 4km
———————————–
Time t+1 t
———————————–
Distance x x
———————————–
Speed = Distance/ Time
Distance = Speed X time
3( t+1) = 4t
t =3
Distance = 4t = 4 X 3 = 12 km 
Question 8 of 10
8. Question
Two pipes are pouring water in an empty tank. Pipe 1 alone would fill up the tank in 6 hours. Pipe 2 alone would fill up the tank in 4 hours. How long will it take both the pipes to fill up two thirds of the tank?
Correct
Incorrect
Correct Answer: 1 3/5 hours
Fraction of work done by Pipe 1 in 1hour = 1/6
Fraction of work done by Pipe 2 in 1 hour = 1/4
Combine rate of work done by both pipes in 1 hour = 1/6+1/4 = 5/12
Rate 5/12
Time t
Work 2/3
Rate = Work/time
Work = Rate X time
2/3 = 5/12 X t
t = 2/3 X 12/5 = 8/5 = 1 3/5 hours 
Question 9 of 10
9. Question
Factory A produces food packets at a uniform rate of 160 every 40 minutes, and factory B produces food packets at a uniform rate of 100 every 20 minutes. If two factories run simultaneously, how long will it take them to produce 207 food packets in total?
Correct
Incorrect
Correct Answer: 23 minutes
Factory A produces 160 food packets in 40 minutes or 80 packets in 20 minutes
Factory B produces 100 food packets in 20 minutes
Together they will produce (100 + 80) = 180 food packets in 20 minutes or 9 packets per minute.
Rate 9 packets/minute
Time t
Work 207 packets
Rate = Work/time
9 = 207/t
t = 207/9 = 23 minutes 
Question 10 of 10
10. Question
Three workers can paint a ball in 4 , 5 , 6 minutes respectively. How many balls can be painted by all the three workers working together for 2 hours?
Correct
Incorrect
Correct Answer: 74
Combined rate of work per minute = 1/a + 1/b + 1/c
1/4 + 1/5 + 1/6 = 37/ 60
Time t = 2 hours = 120 minutes
Rate = work / time
37/60 = work / 120
work = 37/60 X 120 = 74