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- Select the option that is related to the third term in the same way as the second term is related to the first term.27 : 9 :: 64 : ? Answer: A. 16 Answer: (A) 16 27 = 3³ and 9 = 3² : the cube becomes the square of the same base. 64 = 4³ , so the answer is 4² = 16 . 1
- Select the option that is related to the third term in the same way as the second term is related to the first term.BAT : YZG :: CUP : ? Answer: B. XFK Answer: (B) XFK Each letter is replaced by its opposite letter (the pair adds up to 27: A↔Z, B↔Y, T↔G). C (3) ↔ X (24), U (21... 1
- Select the option that is related to the third term in the same way as the second term is related to the first term.Author : Book :: Composer : ? Answer: C. Music Answer: (C) Music An author creates a book; a composer creates music. An orchestra performs it and a singer sings it, but n... 1
- Select the option that is related to the third term in the same way as the second term is related to the first term.Sculptor : Chisel :: Surgeon : ? Answer: C. Scalpel Answer: (C) Scalpel A sculptor cuts with a chisel; a surgeon cuts with a scalpel. The pair is worker : cutting tool. A st... 1
- Select the option that is related to the third term in the same way as the second term is related to the first term.ACEG : ZXVT :: BDFH : ? Answer: A. YWUS Answer: (A) YWUS ACEG → ZXVT: each letter is replaced by its opposite letter (A↔Z, C↔X, E↔V, G↔T; each pair adds to 27). B (... 1
- Select the option that is related to the third term in the same way as the second term is related to the first term.PRINT : QQJMU :: BLACK : ? Answer: C. CKBBL Answer: (C) CKBBL P+1 = Q, R−1 = Q, I+1 = J, N−1 = M, T+1 = U. The letters go +1, −1 alternately. B+1 = C, L−1 = K, A+1 = B... 1
- 6 is related to 222 and 4 is related to 68 by a certain logic. Following the same logic, 5 is related to which number? Answer: A. 130 Answer: (A) 130 222 = 6³ + 6 = 216 + 6 and 68 = 4³ + 4 = 64 + 4 . The rule is n³ + n . For 5: 5³ + 5 = 125 + 5 = 130 . 1
- Select the set in which the numbers are related in the same way as the numbers of the set (3, 15, 75). Answer: B. (4, 20, 100) Answer: (B) (4, 20, 100) In (3, 15, 75) each number is 5 times the one before: 3 × 5 = 15, 15 × 5 = 75. (4, 20, 100)... 1
- In a certain logic, BAD is related to 7. Following the same logic, CAGE is related to which number? Answer: C. 16 Answer: (C) 16 BAD: B = 2, A = 1, D = 4 and 2 + 1 + 4 = 7. The number is the sum of the letter positions. CAGE: C = 3, A = 1,... 1
- Select the option that is related to the third term in the same way as the second term is related to the first term.Doctor : Hospital :: Teacher : ? Answer: B. School Answer: (B) School A doctor works in a hospital. In the same way, a teacher works in a school. 1
- What is 72 km/h in metres per second? Answer: A. 20 m/s Answer: (A) 20 m/s Multiply by 5/18 : 72 × 5/18 = 20 m/s. 1
- A car covers 360 km in 4 hours 30 minutes. What is its speed? Answer: B. 80 km/h Answer: (B) 80 km/h 4 h 30 min = 4.5 h. Speed = 360 ÷ 4.5 = 80 km/h. 1
- A train 240 m long runs at 54 km/h. How long does it take to pass a signal pole? Answer: D. 16 seconds Answer: (D) 16 seconds 54 km/h = 15 m/s. Time = length ÷ speed = 240 ÷ 15 = 16 seconds. 1
- A train 150 m long running at 72 km/h crosses a platform 250 m long. How long does it take? Answer: D. 20 seconds Answer: (D) 20 seconds Distance = train + platform = 400 m. 72 km/h = 20 m/s. Time = 400 ÷ 20 = 20 seconds. Trap: 7.5... 1
- A man walks at 5 km/h for 3 hours and then at 6 km/h for 2 hours. What is his average speed for the whole walk? Answer: C. 5.4 km/h Answer: (C) 5.4 km/h Total distance = 15 + 12 = 27 km in 5 hours. Average speed = 27 ÷ 5 = 5.4 km/h. Trap: 5.5 is the pl... 1
- Two trains 120 m and 130 m long run in opposite directions at 40 km/h and 50 km/h. How long do they take to cross each other completely? Answer: A. 10 seconds Answer: (A) 10 seconds Opposite directions: relative speed = 90 km/h = 25 m/s. Distance = 120 + 130 = 250 m. Time = 25... 1
- The speeds of A and B are in the ratio 3 : 4. What is the ratio of the times they take to cover the same distance? Answer: D. 4 : 3 Answer: (D) 4 : 3 For a fixed distance, time is inversely proportional to speed. Time ratio = 4 : 3. 1
- A car covers a distance in 3 hours at 40 km/h. At what speed must it travel to cover the same distance in 2 hours 30 minutes? Answer: C. 48 km/h Answer: (C) 48 km/h Distance = 40 × 3 = 120 km. Speed = 120 ÷ 2.5 = 48 km/h. 1
- Walking at \(\frac{3}{4}\) of his usual speed, a man reaches his office 20 minutes late. What is his usual time to reach the office? Answer: A. 60 minutes Answer: (A) 60 minutes At 3/4 the speed he takes 4/3 the time. The extra 1/3 of the usual time = 20 min. Usual time =... 1
- A boy walking at 5 km/h reaches school 7 minutes late. Walking at 6 km/h he reaches 5 minutes early. How far is the school? Answer: C. 6 km Answer: (C) 6 km The difference in time = 7 + 5 = 12 min = 1/5 h. Shortcut: d = S₁ S₂/S₂ - S₁ × time difference = 5 × 6/1 ×... 1
- A train passes a pole in 15 seconds and a 100 m long platform in 25 seconds. What is the length of the train? Answer: B. 150 m Answer: (B) 150 m The extra 100 m (platform) takes 25 − 15 = 10 s, so speed = 10 m/s. Length = 10 × 15 = 150 m. 1
- Two trains 140 m and 160 m long run on parallel tracks in the same direction at 60 km/h and 42 km/h. How long will the faster train take to pass the slower one completely? Answer: D. 60 seconds Answer: (D) 60 seconds Same direction: relative speed = 60 − 42 = 18 km/h = 5 m/s. Distance = 140 + 160 = 300 m. Time... 1
- A policeman is 150 m behind a thief. The thief runs at 8 km/h and the policeman chases him at 10 km/h. How far will the thief have run before he is caught? Answer: B. 600 m Answer: (B) 600 m The gap closes at 2 km/h. Time = 0.15 ÷ 2 = 0.075 h. Thief's distance = 8 × 0.075 = 0.6 km = 600 m. Short... 1
- Two cars start at the same time from towns A and B, 360 km apart, and move towards each other at 50 km/h and 40 km/h. How far from A do they meet? Answer: D. 200 km Answer: (D) 200 km Time to meet = 360 ÷ (50 + 40) = 4 h. The car from A covers 50 × 4 = 200 km. 1