If   then the value of  is

If  then the value of  is equal to

• 0

• 
• 
• 

63.

What least value must be assigned to '*' so that the number 451*603 is exactly divisible by 9?

• 7

• 8

• 5

• 5

The average of 9 observations was found to be 35. Later on, it was detected that on observations 81 was misread as 18. The correct average of the observations is:

• 28

• 42

• 32

• 32

If x = 222,  y = 223,   z = 225, then the value of x³ + y³ + z³ - 3xyz

• 4590

• 4690

• 4950

• 4950

If  then 3x³ + 9x is equal to

• 5

• 6

• 7

• 7

Two circles touch each other internally. The radius of the smaller circle is 6 cm and the distance between the centre of two circles is 3 cm. The radius of the larger circle is

• 7.5 cm

• 9 cm

• 8 cm

• 10 cm

PQR is an equilateral triangle. MN is drawn parallel to QR such that M is on PQ and N is on PR. If PN = 6 cm, then the length of MN is

• 3 cm

• 6 cm

• 12 cm

• 12 cm

If , then the value of  is

Two men are on opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30° and 45° respectively. If the height of the tower is 50 m, the distance between the two men is 

• 136.5 m

• 50√3 m

• 100√3 m

• 135.5 m