If  then the value of x is

• 5

• 7

• 3

• 4

The average of the runs made by Raju, Shyam and Hari is 7 less than that made by Shyam, Hari and Kishore. If the number of Kishore's run is 35, what is Raju's run?

• 21

• 35

• 7

• 14

A starts business with ₹ 7000 and after 5 months, B joined as a partner. After a year the profit is divided in the ratios 2 : 3. The capital of B is

• ₹ 10000

• ₹ 6500

• ₹ 18000

• ₹ 9000

If  and  then the value of  is

If a + b = 6,   a - b = 2,  then the value of 2(a² + b²) is

• 30

• 40

• 10

• 20

If  then the value of cos (75° - θ) is

• 

• 

• 

• 1

A grain dealer cheats to the extent of 10% while buying as well as selling by using false weights. His total profit percentage is

• 21

• 23

• 25

• 20

If x sin³θ + y cos³θ = sin θ cos θ ≠ 0
and x sin θ  - y cos θ = 0,   then the value of (x² + y²) is

• sin θ - cos θ

• sin θ + cos θ

• 0

• 1

119.

The average of 1², 2², 3², 4², 5², 6², 7², 8², 9², 10² is

• 46.5

• 50.5

• 38.5

• 42.5

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

• 12 cm

• 10 cm

• 20 cm

• 15 cm