1. The length, breadth and height of a cuboid is increased by 5%, 10% and 20% respectively. Find the percentage increase in its volume.

ANS. 38.6%

2. (log10 tan 1 °¿¿ (log10 tan 2 °¿¿ (log10 tan 3 ° ¿... (log10 tan 50 ° ¿ =?

ANS. 0

3. If i=√−1 , find

∑n=1

100

(i)n

ANS. 0

4. 4109 + 6109 is divided by 25, the remainder is

ANS. 5

5. Each letter has corresponding number. If E is 5, what is PICE? P I C E+ D I C E C I V I L

ANS. 9315 or 4315

6. The average of x numbers is 5x. If x-2 is subtracted from each given number, what will be the new average?

ANS. 4x + 2

7. A person covers 9 km at a speed of 3 km/hr, 25 km at a speed of 5 km/hr and 30 km at a speed of 10 km/hr. Find the average speed for the entire journey.

ANS. 6411km /hr or 5

911km /hr

8. If 10 persons can cut 20 trees in 3 days working 12 hrs a day. Then, in how many days can 24 persons cut 32 trees working 4 hrs a day?

ANS. 6 days

9. Two trains of length 110 m and 90 m are running on parallel lines in the same direction with a speed of 35 km/hr, respectively. How much time will they pass each other?ANS. 144s

10. On a river, B is between A and C and equidistant from A to C. A boat goes from A to B and back in 7 hrs 15 mins and from A to C in 7 hrs. How long will it take to go from C to A, if water flows from A to C?

ANS. 312hrs

11. Milk and water are in the ratio of 3:2 in a mixture of 80 liters. How much water should be added so that the ratio of the milk and water becomes 2:3?

ANS. 40 liters

12. What is the value of x, if

1log 442

441

x+ 1log 443

442

x+ 1log 444

443

x+…+ 1

log 899898

x+ 1log 900

899

x=2

ANS. 107

13. Find the last digit in(81678 )199.

ANS. 2

14. Find the number of zeroes at the end of the product of15∗32∗25∗22∗40∗75∗98∗112∗125

ANS. 9