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# Maths Quiz for KVS and NVS Exams 2016

Q1. A certain number of men complete a work in 160 days. If there were 18 men more the work could be finished in 20 days less. How many men were originally there?
(a) 116
(b) 122
(c) 124
(d) 126

Q2. A, B and C together earn Rs. 1500 in 10 days. A and C together earn Rs. 800 in 8 days. B and C together earn Rs. 900 in 9 days. Find the daily earning of B.
(a) Rs. 50
(b) Rs. 60
(c) Rs. 40
(d) Rs. 30

Q3. A tank can be filled by two pipes in 20 minutes and 30 minutes respectively. When the tank was empty, the two pipes were opened. After some time, the first pipe was closed and the tank was filled in 18 minutes. After how much time from the start, was the first pipe closed?
(a) 5 minutes
(b) 8 minutes
(c) 10 minutes
(d) 12 minutes
Ans.(b)
Sol. Tank can be filled by second pipe in 18 minute =18/30=3/5
Emptied tank =2/5
A can filled a tank in one minute is =1/20 part
So it can filled 2/5th part of tank =20×2/5 = 8 minute
Hence, other 8 minute first pipe will be closed.

Q4. A 240 metre long train takes 40 seconds longer to cross a platform twice its length than the time it takes to cross a pole at the same speed. What is the speed of the train?
(a) 6 metres/second
(b) 24 metres/second
(c) 48 metres/second
(d) 12 metres/second
Ans.(d)
Sol. Length of train = 240
Length of the platform = 2 × 240 = 480
According to question,
(3 × 240)/(Speed of train)-240/(Speed of train)=40
Speed of train =(2 × 240)/40= 12 m/s

Q5. Two trains start from P and Q respectively and travel towards each other at a speed of 50km/hr. and 40 km/hr. respectively. By the time they meet the first train had travelled 100km more than the second. Find the distance between P and Q?
(a) 500 km
(b) 630 km
(c) 660 km
(d) 900 km
Ans.(d)
Sol. Difference in the speed = 10 km/hr
Time, taken, when they meet =(Difference in distance travelled by them )/(Difference in speed)
100/10 = 10 hr
Distance between P and Q = 10 × Relative speed
= 10 × (50 + 40) = 900 km
Q6. One aero plane started 30 minutes later than the scheduled time from a place 1500 km away from its destination. To reach the destination at the scheduled time the pilot had to increase the speed by 250 km/hr. What was the speed of the aeroplane per hour during the journey?
(a) 650 km/hr
(b) 750 km/hr
(c) 850 km/hr
(d) Can’t be determined
Ans.(b)
Sol. Use the option
Distance = 1500 km
Let original speed = 750 km/hr.
Original time taken = 2 hr.
Now, delay in time = 30 min.
Increased speed = (750 + 250) = 1000 km/hr
Thus, time taken =(1500 km)/(1000 km/hr) = 1.5 hr.

Q7. A and B enter into a partnership for a year. A contributes Rs. 3000 and B Rs. 4000. After 4 months, they admit C, who contributes Rs. 4500. If B withdraws his contribution after 6 months, how would they share a profit of Rs. 1000 at the end of the year?
(a) Rs. 250, Rs. 200, Rs. 550
(b) Rs. 150, Rs. 200, Rs. 650
(c) Rs. 375, Rs. 250, Rs. 375
Ans.(c)
Sol. 3000 × 12 : 4000  × 6 : 4500 × 8
3   :     2         : 3
A’s share =3/8×1000=375
B’s share =2/8×1000=250
C’s share =3/8×1000=375

Q8. From two places, 60 km apart, A and B start towards each other at the same time and meet each other after 6 hours. Had A travelled with 2/3 of his speed and B travelled with double of his speed, they would have meet after 5 hours. The speed of A is
(a) 4 km/hr
(b) 6 km/hr
(c) 10 km/hr
(d) 12 km/hr

Q9. The ratio of income of A and B is 3 : 2 and the ratio of their expenditure is 4 : 3 and their savings are respectively Rs. 2,000 and Rs. 1000. Find the income of B and A respectively.
(a) Rs. 3000, Rs. 4000
(b) Rs. 4000, Rs. 6000
(c) Rs. 5000, Rs. 6000
(d) Rs. 6000, Rs. 4000

Q10. A person cover certain distance by Train, Bus and Car in ratio 4 : 3 : 2. The ratio of fair is 1 : 2 : 4 per km. The total expenditure as a fair is Rs. 720. Then, total expenditure as fair on train.
(a) Rs. 140
(b) Rs. 150
(c) Rs. 160
(d) Rs. 170