61.

In Δ ABC,   if   and AB = AC,  then  is

• 30°

• 60°

• 45°

• 25°

The value of tan 315° cot (-405°) is equal to

• -1

• 1

• 0

• 2

Among three numbers, second is twice the first and also thrice the third. If the average of the three numbers is 33, then the largest number is

• 36

• 54

• 62

• 72

The average of 100 items was found to be 30. If at the time of calculation, two items were wrongly taken as 32 and 12 instead of 23 and 11, then the correct average is

• 29.8

• 29

• 29.9

• 29.5

A box weighs 8.5 kg when full of sand and weighs 5.5 kg when it is half filled with sand. Weight of the empty box is

• 5 kg

• 6 kg

• 2.5 kg

• 4.5 kg

If  and  ,  then the value of  is

• 0

• 1

• -1

• 2

Two circles touch externally. The sum of their areas is and the distance between their centres is 14 cm. The radius of the bigger circle is

• 22 cm

• 11 cm

• 33 cm

• 44 cm

In an equilateral triangle of side 24 cm, a circle is inscribed touching its sides. The area of the remaining portion of the triangle is approximately equal to:

• 36.6 cm²

• 54.2 cm²

• 72.8 cm²

• 98.5 cm²

If the elevation of the Sun changes from 30° to 60°,  then the difference between the lengths of shadows of a pole 15 m high, is

• 7.5 m

• 15 m

• 10√3 m

• 5√3 m

If a sum of Rs 12,500/- is invested for 1 year at 12% per annum interest being compounded semi-annually, then interest earned is

• Rs 1,505

• Rs 1,535

• Rs 1,545

• Rs 1,550