Government exams
- Walking at 5 km/h, a man reaches his office 10 minutes late. Walking at 6 km/h, he reaches 5 minutes early. What is the distance to his office (in km)? Answer: B. 7.5 Answer: (B) 7.5 The time difference is 15 min = 1/4 h. d/5 - d/6 = d/30 = 1/4 , so d = 7.5 km. 1
- Study the following arrangement carefully and answer the question.7 G % 3 Q P # 8 Z @ 1 L & Y 6 C * 4 N $ S 9 F ! 2How many numbers in the arrangement are immediately preceded by a symbol and immediately followed by a letter? Answer: B. 4 Answer: (B) 4 Symbol–number–letter groups: %3Q, #8Z, @1L, *4N. Count = 4. 1
- Study the following arrangement carefully and answer the question.7 G % 3 Q P # 8 Z @ 1 L & Y 6 C * 4 N $ S 9 F ! 2Which element is sixth to the left of the fifteenth element from the left end? Answer: C. Z Answer: (C) Z The 15th element from the left is 6. Sixth to its left is the 9th element, Z. 1
- Study the following arrangement carefully and answer the question.7 G % 3 Q P # 8 Z @ 1 L & Y 6 C * 4 N $ S 9 F ! 2How many letters in the arrangement are immediately followed by a number? Answer: D. 2 Answer: (D) 2 Letter followed by a number: Y6, S9. Count = 2. 1
- Study the following arrangement carefully and answer the question.7 G % 3 Q P # 8 Z @ 1 L & Y 6 C * 4 N $ S 9 F ! 2If all the numbers are removed from the arrangement, which element will be seventh from the left end? Answer: A. @ Answer: (A) @ Without numbers: G % Q P # Z @ L & Y C * N $ S F !. The seventh element from the left is @. 1
- Study the following arrangement carefully and answer the question.7 G % 3 Q P # 8 Z @ 1 L & Y 6 C * 4 N $ S 9 F ! 2Which element is exactly midway between 3 and 4 in the arrangement? Answer: C. 1 Answer: (C) 1 3 is the 4th element and 4 is the 18th element. The middle position is 11, which holds 1. 1
- Meera walks 10 m towards East, turns left and walks 15 m, turns left again and walks 18 m, and then turns left and walks 9 m. How far and in which direction is she from her starting point? Answer: C. 10 m, North-West Answer: (C) 10 m, North-West Start (0, 0). East 10 → (10, 0); left = North 15 → (10, 15); left = West 18 → (−8,... 1
- Point A is 6 m to the North of point B. Point C is 8 m to the East of point B. What is the shortest distance between A and C, and in which direction is C with respect to A? Answer: D. 10 m, South-East Answer: (D) 10 m, South-East B = (0, 0), A = (0, 6), C = (8, 0). AC = √(8²+6²) = 10 m. C is to the right of and... 1
- One morning, shortly after sunrise, Kiran was standing in an open field facing a pole. The shadow of the pole fell exactly to his right. Which direction was Kiran facing? Answer: D. South Answer: (D) South In the morning the sun is in the East, so shadows fall towards the West. The shadow is on Kiran's right,... 1
- What will come in place of the question mark (?) in the series?3, 8, 18, 38, 78, ? Answer: B. 158 Answer: (B) 158 Each term = previous × 2 + 2. 78 × 2 + 2 = 158. 1
- What will come in place of the question mark (?) in the series?5, 6, 14, 45, 184, ? Answer: D. 925 Answer: (D) 925 Pattern: ×1 + 1, ×2 + 2, ×3 + 3, ×4 + 4, so next = 184 × 5 + 5 = 925. 1
- What will come in place of the question mark (?) in the series?120, 119, 115, 106, 90, ? Answer: C. 65 Answer: (C) 65 Subtract squares: −1, −4, −9, −16, −25. 90 − 25 = 65. 1
- What will come in place of the question mark (?) in the series?6, 7, 15, 42, 106, ? Answer: D. 231 Answer: (D) 231 Add cubes: +1, +8, +27, +64, +125. 106 + 125 = 231. 1
- Find the wrong number in the series.2, 6, 15, 31, 56, 93 Answer: A. 93 Answer: (A) 93 Differences should be 2², 3², 4², 5², 6² = 4, 9, 16, 25, 36: 2, 6, 15, 31, 56, 92. So 93 is wrong. 1
- In the following question, two equations numbered I and II are given. Solve both equations and choose the correct relationship between x and y.I. \( x^2 - 9x + 20 = 0 \)II. \( y^2 - 15y + 56 = 0 \) Answer: B. x < y Answer: (B) x < y I gives x = 4, 5. II gives y = 7, 8. Comparing every pair of values: x < y. 1
- In the following question, two equations numbered I and II are given. Solve both equations and choose the correct relationship between x and y.I. \( x^2 + 3x - 28 = 0 \)II. \( y^2 - 2y - 15 = 0 \) Answer: D. x = y or the relationship between x and y cannot be established Answer: (D) x = y or the relationship between x and y cannot be e... 1
- What will come in place of the question mark (?)?\( 45\% \text{ of } 860 - 12^2 + 17 \times 8 = ? \) Answer: C. 379 Answer: (C) 379 387 - 144 + 136 = 379 . 1
- What will come in place of the question mark (?)?\( ? \div 16 \times 4.5 = 27 \times 3 \) Answer: C. 288 Answer: (C) 288 ? = 81 × 16/4.5 = 288 . 1
- What will come in place of the question mark (?)?\( (\sqrt{2025} + \sqrt{576}) \times 4 - 99 = ? \) Answer: A. 177 Answer: (A) 177 (45 + 24) × 4 - 99 = 276 - 99 = 177 . 1
- What approximate value will come in place of the question mark (?)?\( 39.89\% \text{ of } 1499.8 - 22.03 \times 8.98 + 539.7 \div 17.96 = ? \) Answer: A. 432 Answer: (A) 432 Round: 40% of 1500 - 22 × 9 + 540 ÷ 18 = 600 - 198 + 30 = 432 (exact ≈ 430.5). 1
- What approximate value will come in place of the question mark (?)?\( (12.03)^2 + (6.98)^3 - 299.9 \div 5.02 = ? \) Answer: D. 427 Answer: (D) 427 Round: 12² + 7³ - 300 ÷ 5 = 144 + 343 - 60 = 427 (exact ≈ 425.0). 1
- R is the son of S. S is the sister of T. U is the wife of T. V is the son of U. How is V related to R? Answer: B. Cousin Answer: (B) Cousin U is T's wife, so V (U's son) is taken as the son of T and U. R is the son of S, who is T's sister. Chi... 1
- In a certain code language, GARDEN is written as HCUHJT. How will SILVER be written in that code language? Answer: A. TKOZJX Answer: (A) TKOZJX The letters move forward by 1, 2, 3, 4, 5, 6 places in order (G+1=H, A+2=C, R+3=U, D+4=H, E+5=J, N+6=T)... 1
- In a certain code language, BRICK is written as YIRXP. How will STONE be written in that code language? Answer: C. HGLMV Answer: (C) HGLMV Each letter is replaced by its opposite letter (A↔Z, B↔Y, C↔X …): B→Y, R→I, I→R, C→X, K→P. So S→H, T→G, O... 1