If a³b = abc  = 180,  a, b, c are positive integers, then the value of c is

• 110

• 1

• 4

• 4

Insert the missing number
3, 18, 12, 72, 66, 396 ?

• 300

• 380

• 350

• 350

• 

• 0

• 
• 

The sum of 11² + 12² + .......+21² = ? 

• 2926

• 3017

• 3215

• 3215

In four consecutive prime numbers that are in ascending order, the product of the first three is 385 and that of the last three is 1001. The largest given prime number is

• 11

• 13

• 17

• 17

H.C.F. of  is

7.

There are five bells which start ringing together at intervals of 3, 6, 9, 12 and 15 seconds respectively. In 36 minutes, how many times will the bells ring simultaneously?

• 13

• 12

• 6

• 6

n is a whole number which when divided by 4 gives the remainder 3. The remainder when 2n is divided by 4 is

• 1

• 2

• 3

• 3

A wall clock gains 2 minutes in 12 hours, while a table clock loses 2 minutes every 36 hours. Both are set right at 12 noon on Tuesday. The correct time when both show the same time next would be

• 12.30 at night, after 130 days

• 12 noon, after 135 days

• 1.30 at night, after 130 days
• 1.30 at night, after 130 days

A and B started a business by investing ₹ 3,50,000 and ₹ 1,40,000 respectively. A gets 20% of the yearly profit for managing the business. Thereafter the profit is divided in the ratio of the capital. If A receives totally ₹ 38,000 more than B at the end of a year, then the profit is

• ₹ 28,000

• ₹ 2,80,000

• ₹ 1,05,000

• ₹ 1,05,000