Answer: D) 2520 Explanation: Total number of letters in the word ABYSMAL are 7   Number of ways these 7 letters can be arranged are 7! ways   But the letter is repeated and this can be arranged in 2! ways   Total number of ways arranging ABYSMAL = 7!/2! = 5040/2 = 2520 ways.

Answer: B) 30 kmph Explanation: Let the speed of the faster train be 'S' kmph   Then speed of the slower train will be '(S-5)' kmph   Time taken by faster train = 350/S hrs   Time taken by slower train = 350/(S-5) hrs  350s-5 - 350s = 2 hrs 20 min = 213 = 73   => S = 30 km/hr.

Answer: C) Rs. 20 Explanation: Let the Oranges be 'O', Bananas be 'B' and Apples be 'A' From the given data,   2O + 3B + 4A = 15 ...... (I) 3O + 2B + A = 10 ..... (II) On adding (I) and (II), 5O + 5B + 5A = 25 O + B + A = 5 4O + 4B + 4A = 20.

Answer: B) 63 Explanation: Here the series follows the pattern that, product of succesive prime numbers i.e,  2 × 3 = 6  3 × 5 = 15  5 × 7 = 35  7 × 11 = 77  11 × 13 = 143  13 × 17 = 221  17 × 19 = 323 So here in place of 77 the number 63 is written. So the wrong number is 63.

Answer: A) 9 lakhs Explanation: Educated females in city P = 25 lakhs Uneducated females in city P = 30 - 25 = 5 lakhs Educated males city S = 21 lakhs Educated males in city S = 35 - 21= 14 lakhs Required difference = 14 - 5 = 9 lakhs

Answer: B) 1/2 Explanation: We know that: When one card is drawn from a pack of 52 cards The numbers of possible outcomes n(s) = 52 We know that there are 26 red cards in the pack of 52 cards⇒ The numbers of favorable outcomes n(E) = 26 Probability of occurrence of an event: P(E)=Number of favorable outcomes/Numeber of possible outcomes=n(E)/n(S) ∴ required probability = 26/52 = 1/2.

Answer: A) (1/2)^11 Explanation: Probability of occurrence of an event,  P(E) = Number of favorable outcomes/Numeber of possible outcomes = n(E)/n(S) ⇒ Probability of getting head in one coin = ½,  ⇒ Probability of not getting head in one coin = 1- ½ = ½,  Hence,  All the 11 tosses are independent of each other. ∴ Required probability of getting only 2 times heads =122×129=1211

Answer: D) 67500 sq.m Explanation: Let the length be 'l' and breadth be 'b'. b = l × 3/4__________(a) 2(l+b) = 1050 l+b = 525___________(b) From equations (a) and (b), l = 300m, b = 225 m Area = l × b = 300 × 225 = 67500 sq.m.