Q1. Two candles of the same height are lighted at the same time. The first is consumed in 8 hrs and second in 4 hrs. Assuming that each candle burns at a constant rate. In how many hour after being lighted, the rate between the first and second candles become 3 : 1:
(a) 2 hrs 48 m
(b) 3 hrs 12 m
(c) 3 hrs 24 min
(d) 3 hrs 36 min
Q2. Two numbers are 40% and 60% less than a third number. These two numbers are in ratio?
(a) 3 : 2
(b) 3 : 4
(c) 1 : 2
(d) 3 : 5
2. Ans.(a)
Sol. Let third number = x
First number = .6x
Second number = .4x
Ratio = .6x : .4x = 3 : 2
Q4. A train travels at 60 km/hr and another train travel at 40 km/hr in opposite direction to A, then what will be the distance travel by both train in one hour before meeting each other:
(a) 20
(b) 100
(c) 80
(d) 120
4. Ans.(b)
Sol. A travels → 60 km/hr
B travels → 40 km/hr
Before one hour of the meeting
Both train travels 60 + 40 km
= 100 km
Q6. A train having length 320 m cross a pole in 80 seconds. In how many seconds the same train cross the platform of length of 640 m?
(a) 240
(b) 100
(c) 140
(d) 160
6. Ans.(a)
Sol. According to question,
320 m travels in 80 seconds
When it cross the platform travels 320 + 640 m
So, 960 meter traveling in =(960/320)×80= 240 seconds
Q7. In a 1000 m race, A runs at 60 kmph. If A gives B a start of 40 m and still beats him by 12 seconds, what is the speed of B:
(a) 32 km/hr
(b) 48 km/hr
(c) 5 km/hr
(d) 5.4 km/hr
Q8. At a game of billiards, A can give B 20 points in 120 and he can give C 30 in 120. How many can B give C in a game of 180:
(a) 160
(b) 154
(c) 181
(d) 162
8. Ans.(d)
Sol. According to question if A can score 120 point, B score 100 and C will be scored 90.
When B score 100 point C score 90 point
When B score 180
C score =(90/100)×180=162
Q9. Ravi and Sunil run at the speed at 30 m/s and 20 m/s respectively on the circular track of 600 m, at its circumference when would the Ravi and Sunil meet for the first time. If they start simultaneously from the same point:
(a) 60 sec
(b) 54 sec
(c) 81 sec
(d) 62 sec
9. Ans. (a)
Sol. They meet first time after =600m/(30 – 20)= 60 seconds
Q10. The average age of 80 boys in a class is 15. The average age of a group of 15 boys in the class is 16 and the average age of another 25 boys in the class is 4. What is the average age of remainings boys in the class?
(a) 15.25
(b) 14
(c) 14.75
(d) Cannot be determined
Q11. If 5 men and 3 boys can reap 23 acres in 4 days, and 3 men and 2 boys can reap 7 acres in 2 days, how many boys must assist 7 men in order that they may reap 45 acres in 6 days:
(a) 2
(b) 4
(c) 6
(d) 5
Q12. x can copy 100 pages in 25 hrs, x and y together can copy 270 pages in 54 hrs. Then y can copy 20 pages in:
(a) 3 hrs
(b) 12 hrs
(c) 20 hrs
(d) 24 hrs
12. Ans.(c)
Sol. x copy 100 page in 25 hrs
In hr copy =100/25 pages
= 4 pages
x + y copy 270 pages in 54 hr
in 1 hr copy pages =270/54
So y copy one page in 1 hr
20 page in 20 hrs
Q13. Three pipes P, Q, R can fill a cistern in 6 hrs. After working together for 2 hrs, R is closed and P and Q are take 8 hours more to fill the cistern. Then find the time in which the cistern can be filled by pipe R:
(a) 12
(b) 18
(c) 15
(d) 16
Q14. If two pipes function simultaneously, the reservoir in filled in 16 hrs. One pipe fills the reservoir in 24 hrs faster than the other. How many hour does the faster pipe take to fill the reservoir?
(a) 16
(b) 24
(c) 36
(d) 48
Q15. A cistern is normally filled in 8 hrs but takes two hrs longer to fill because of a leak in its bottom, if the cistern is full the leak will empty it in _____ hrs:
(a) 32 hrs
(b) 40 hrs
(c) 36 hrs
(d) 48 hrs
