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 a + b = 6, a - b = 2, then the value of 2(a2 + b2) is
30
40
10
20
B.
40
a + b = 6 ...(i)
a - b = 2 ...(ii)
From Eq.s (i) and (ii), we get,
∴ (a + b)2 + (a - b)2 = (6)2 + (2)2
⟹ a2 + b2 + 2ab + a2 + b2 - 2ab = 40
⟹ 2(a2 + b2) = 40
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
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