Answer: D) 3600 Explanation: Given word is THERAPY. Number of letters in the given word = 7 These 7 letters can be arranged in 7! ways. Number of vowels in the given word = 2 (E, A) The number of ways of arrangement in which vowels come together is 6! x 2! ways   Hence, the required number of ways can the letters of the word 'THERAPY' be arranged so that the vowels never come together = 7! - (6! x 2!) ways = 5040 - 1440 = 3600 ways.

Answer: B) 40 Explanation: The third proportional of two numbers p and q is defined to be that number r such that p : q = q : r.   Here, required third proportional of 10 & 20, and let it be 'a' => 10 : 20 = 20 : a 10a = 20 x 20 => a = 40   Hence, third proportional of 10 & 20 is 40.

Answer: D) 6 Explanation: Sum of numbers in the outer circle in before Arc should come in inner circle patterns in the clock wise direction next Arc. i.e, 9+6 = 15 comes in next arc of inner circle 7+3 = 10 comes in next arc of inner circle In the same way, 4+2 = 6 comes in place of '?'.

Answer: C) 4/9 Explanation: Number of white marbles = 4 Number of Black marbles = 5 Total number of marbles = 9 Number of ways, two marbles picked randomly = 9C2 Now, the required probability of picked marbles are to be of same color = 4C2/9C2  +  5C2/9C2 = 1/6 + 5/18 = 4/9.

Answer: B) Decreasing pressure Explanation: A barometer is a tool that measures air pressure A rising barometer indicates increasing air pressure, a falling barometer indicates decreasing air pressure. In space, there is a nearly complete vacuum, so the air pressure is zero.

Answer: C) 16:5 Explanation: Area of a square SxS = 1024 => S = 32 cmLength of the rectangle = 32x2 cm = 64 cmBreadth of the rectangle = 32 - 12 = 20 cmRequired ratio = 64 : 20 = 16 : 5

Answer: A) We can go see a movie, or we can get something to eat. Explanation: A compound sentence is a sentence that has at least two independent clauses joined by a comma, semicolon or conjunction. An independent clause is a clause that has a subject and verb and forms a complete thought. Here except option A) other two options dependent.   Hence, A) We can go see a movie, or we can get something to eat is a compound sentence.

Answer: B) 1/2 Explanation: Multiples of 3 below 20 are 3, 6, 9, 12, 15, 18 Multiples of 5 below 20 are 5, 10, 15, 20 Required number of possibilities = 10Total number of possibilities = 20Required probability = 10/20 = 1/2.