Answer: D) 1/14 Explanation: The 8 letters can be written in 8! ways.n(S) = 8!Let E be the event that the letters b,c,d,e always come together when the first 8 alphabets are written down.Now the letters a, (bcde), f, g and h can be arranged in 5! ways.The letters b,c,d and e can be arranged themselves in 4! ways.n(E) = 5! x 4!Now, the required P(E) = n(E)/n(S) = 5! x 4!/8! = 1/14Hence the answer is 1/14.

Answer: D) 1950 Explanation: 1950

Answer: B) 0.04 % Explanation: In this type cases we always have loss only.   Loss% = Common Gain or Loss102= 2102= 1/25 = 0.04 %

Answer: D) 150 lit Explanation: To cover a distance of 800 kms using a 800 cc engine, the amount of diesel required = 80 litres. => the amount of diesel required to cover a distance of 1000 kms = 1000 x 80/800 = 100 litres However, the vehicle uses a 1200 cc engine and it is given that the amount of diesel required varies directly as the engine capacity. i.e., for instance, if the capacity of engine doubles, the diesel requirement will double too. Therefore, with a 1200 cc engine, quantity of diesel required = 1200/800 x 100 = 150 litres.

Answer: A) 1 Explanation: In each row,  Sum of 1st two digit number + last two digit number = Middle two digit number i.e., 1st row 15 + 40 = 55 2nd row 46 + 47 = 93 Similarly, 7x + 16 = 87 => x = 1.

Answer: D) 40 Explanation: To get a pair of black rings 100 percent certain 27 blue + 17 red + 2 black = 40 rings should be taken out Then only we can get 100 % a pair of black rings.

Answer: B) 26 Explanation: Let the integer be x. Then,  x2-20x = 156   (x + 6)(x - 26) = 0   x = 26   The integer is 26.

Answer: D) diligence is more important than brightness. Explanation: Parallel construction error in the original statement. A similar form is required on each side of the comparison. " Diligence - brightness ".