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Prove that tan 50 – tan 40 = 2 tan 10

Solution: tan 50 = tan (40+10) We know tan (a+b) = (tan + tan b)/(1-tan tan b) tan 50 =... View Article

Answer: CSA – curved surface area TSA – Total surface area Let a be the edge of a cube. Then... View Article

(a) True (b) False Solution: Minorities in the Indian context means minority religions. OBC is not in minority. Hence option... View Article

Solution: [2x – (7-5x)]/[9x – (3+4x)] = 7/6 (2x-7+5x)/(9x-3-4x) = 7/6 (7x-7)/(5x-3) = 7/6 Cross multiply 6(7x-7) = 7(5x-3) =>... View Article

Solution: The first 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. Here number of... View Article

Solution: 6m = 12 Divide both sides of the equation by 6 6m/6 = 12/6 => m = 2

Solution: 6ab-b2+12ac-2bc = b(6a-b)+2c(6a-b) = (6a-b)(b+2c) So the factors are (6a-b) and (b+2c).

(a) Cauvery (b) Godavari (c) Krishna (d) Narmada Solution: The longest river of south India is Godavari. Hence option b... View Article

(a) 99999999 (b) 10000000 (c) 9999999 (d) 88888888 Solution: Greatest 8 digit number is 99999999. Hence option a is the... View Article

Answer: A sequence of numbers that has a common difference between any two consecutive numbers is called an arithmetic progression... View Article

(a) River water (b) Rain water (c) Potable water (d) Ground water Answer: Water fit for drinking is called potable... View Article

(a) 1.297 (b) 12.97 (c) 129.7 (d) 1297 Solution: Let x be the number. An increase by 29.7% means... View Article

Solution: Given number is 961. Place a bar over every pair of digits starting from the digit at one’s place.... View Article

Solution: Given numbers are 117 and 221. Prime factorise the numbers. 117 = 32×13 221 = 13×17 Common factor is... View Article

(a) f = T (b) f = 1/T (c) f2 = T (d) f3 = T Solution: Frequency (f)... View Article

Solution: f’(x) = limh→ 0 [f(x+h) – f(x)]/h = limh→ 0 [cos (x+h) – cos x]/h = limh→ 0[cos x... View Article

Answer: The typing speed is measured in words per minute.

Solution. Let a be the numerator, then denominator = 2a-2 Given (a+3)/(2a-2+3) = 2/3 => (a+3)/(2a+1) = 2/3 Cross multiply... View Article

(a) electric energy (b) chemical energy (c) light energy (d) None of these Solution: A solar cell converts solar energy... View Article

Answer: All squares are similar.