A and B can do a piece of work in 72 days. B and C can do it in 120 days and A and C can do it in 90 days. A alone can do it in

• 120 days

• 130 days

• 150 days

• 100 days

₹ 730/- were divided among A, B, C in such a way that if A gets â‚¹ 3/-, then B gets ₹ 4/- and if B gets â‚¹ 3.50/- then C gets â‚¹ 3/-. The share of B exceeds that of C by

• ₹ 30/-

• ₹ 40/-

• ₹ 70/-

• ₹ 210/-

The average marks obtained in a class of 50 students is 70%. The average of first 25 is 60% and that of 24 is 80%. What is the marks obtained by the last student?

• 90%

• 60%

• 80%

• 70%

64.

If  then the value of  is:

• 9

• 18

• 27

• 1

If  then the value of  is

• 0

• 1

• 2

• 3

In a triangle, the distance of the centroid from the three vertices is 4 cm, 6 cm and 8 cm respectively. Then the length of the smallest median is

• 8

• 7

• 6

• 5

O is the centre of the circle and  and the shaded portion is x part of the circular region, then x = ?

• 1/12

• 1/9

• 1/6

• 1/4

θ is a positive acute angle and sin θ - cos θ = 0, then the value of sec θ + cosec θ is

• 2

• 

• 

• 

The value of  is:

• 3

• 2

• 1

• 0

The compound interest on â‚¹ 24,000/- at 10% per annum for  interest being compounded semi-annually is

• ₹ 3,783

• ₹ 3,777

• ₹ 3,780

• ₹ 3,781