If  and  then the ratio of  is:

• 

• 1 : 3

• 

• 

The least number to be added to 13851 to get a number which is divisible by 87 is

• 18

• 43

• 54

• 54

Two numbers are in the ratio 3 : 5. If 6 is added to both of them, the ratio becomes 2 : 3. The numbers are

• 21 and 35

• 30 and 50

• 24 and 40

• 24 and 40

The average weight of 10 parcels is 1.7 kg. Addition of another new parcel reduces the average weight by 60 gm. What is the weight, in kg, of the new parcel?

• 1.04

• 1.08

• 1.4

• 1.4

If x = 999, y = 1000, z = 1001, then the value of  is

• 1000

• 9000

• 1

• 1

If , then the value of  is

• 1

• 2

• 3

• 3

67.

In an isosceles triangle ABC, AB = AC and  the bisector of  and  meet at D. The  is equal to

• 90°

• 100°

• 130°

• 80°

The length of the chord which is at distance of 12 cm from the centre of a circle of radius 13 cm is

• 10 cm

• 5 cm

• 6 cm

• 12 cm

If θ is a positive acute angle and  then the value of θ is

• 60°

• 30°

• 45°

• 45°

Radius cross section of a solid circular cylindrical rod is 3.2 dm. The rod is melted and 44 equal solid cubes of side 8 cm are formed. The length of the rod is 

• 56 cm

• 7 cm

• 5.6 cm

• 5.6 cm