(a) 3
(b) 0
(c) 1
(d) Data is insufficient
Q2. 2! + 4! + 6! + 8! + 10! … 100! When divided by 5, would leave remainder
(a) 0
(b) 1
(c) 2
(d) 3
Q4. In how many ways can a number 6084 be written as a product of two different factors?
(a) 27
(b) 26
(c) 13
(d) 14
Q5. P + Q + R + S is odd. At least how many of these (is/are) odd?
(a) 0
(b) 1
(c) 2
(d) Cannot be determine
Q6. When a two-digit number is divided by the sum of its digits, the quotient is 4. If the digits are reversed, the new number is 6 less than twice the original. The number is
(a) 12
(b) 21
(c) 42
(d) 24
Q7. How many numbers between 200 and 600 are divisible by 4, 5 and 6?
(a) 5
(b) 6
(c) 7
(d) 8
Q9. Find the value of 896 × 896 – 204 × 204.
(a) 781200
(b) 761200
(c) 771200
(d) 764200
Q10. Ajay went on a ten-mile drive of his new imported bike. He started with a certain speed and after covering each mile, his speed is decreased by 20% for the next mile. If he took 5 minutes to cover the first five mile of the drive, what is the approximate time taken by him to cover the next five miles?
(a) 14 minutes and 1 second
(b) 15 minutes and 15 seconds
(c) 16 minutes and 16 seconds
(d) 17 minutes and 17 seconds
Q11. The metro service has a train going from Mumbai to Pune and Pune to Mumbai every hour the first one at 6 a.m. The trip from one city to other takes 4.5 hours, and all trains travel at the same speed. How many trains will you pass while going from Mumbai to Pune if you start at 12 noon?
(a) 8
(b) 10
(c) 9
(d) 13
Q12. A tiger is 50 of its own leaps behind a deer. The tiger takes 5 leaps per minute to the deer’s 4. If the tiger and the deer cover 8m and 5m per leap respectively, what distance will the tiger have to run before it catches the deer?
(a) 600 m
(b) 700 m
(c) 800 m
(d) 1000 m
Q13. A man travelled a distance of 61 km in 9 hours. partly on foot at the rate of 4 km/hr and partly on bicycle at the rate of 9 km/hr. The distance travelled on foot was:
(a) 12 km
(b) 16 km
(c) 20 km
(d) 24 km
Q14. A car travels from P to Q at a constant speed. If its speed were increased by 10/h, it would have taken one hour lesser to cover the distance. It would have taken further 45 min lesser if the speed was further increased by 10 km/h. What is the distance between two cities?
(a) 420 km
(b) 540 km
(c) 600 km
(d) 650 km
Q15. A dog after travelling 50 km meets a swami who counsels him to go slower. He then proceeds at 3/4 of his former speed and arrives at his destination 35 minutes late. Had the meeting occurred 24 km further the dog would have reached its destination 25 minutes late. The speed of the dog is:
(a) 48 km/h
(b) 36 km/h
(c) 54 km/h
(d) 58 km/h
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