Government exams
- What will come in place of the question mark (?) in the series?4, 6, 12, 30, 90, ? Answer: C. 315 Answer: (C) 315 Multipliers are ×1.5, ×2, ×2.5, ×3, ×3.5. 90 × 3.5 = 315. 1
- What will come in place of the question mark (?) in the series?11, 13, 17, 25, 41, ? Answer: C. 73 Answer: (C) 73 Differences are 2, 4, 8, 16, so the next difference is 32: 41 + 32 = 73. 1
- What will come in place of the question mark (?) in the series?2, 9, 28, 65, 126, ? Answer: A. 217 Answer: (A) 217 Terms are n³ + 1 : 1+1, 8+1, 27+1, 64+1, 125+1, so next is 6³ + 1 = 217 . 1
- Find the wrong number in the series.5, 12, 26, 54, 112, 222 Answer: C. 112 Answer: (C) 112 Each term = previous × 2 + 2: 5, 12, 26, 54, 110, 222. So 112 is wrong; it should be 110. 1
- A number is first increased by 20% and the result is then decreased by 15%. If the final value is 8,160, what was the original number? Answer: A. 8000 Answer: (A) 8000 Net factor = 1.20 × 0.85 = 1.02. Original = 8160 ÷ 1.02 = 8000. 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. \( x^2 - 11x + 30 = 0 \)II. \( y^2 - 7y + 12 = 0 \) Answer: A. x > y Answer: (A) x > y I gives x = 5, 6. II gives y = 3, 4. 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. \( x^2 + 9x + 20 = 0 \)II. \( y^2 + 5y + 6 = 0 \) Answer: B. x < y Answer: (B) x < y I gives x = -5, -4. II gives y = -3, -2. 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. \( x^2 - 13x + 42 = 0 \)II. \( y^2 - 11y + 30 = 0 \) Answer: B. x ≥ y Answer: (B) x ≥ y I gives x = 6, 7. II gives y = 5, 6. 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. \( 2x^2 - 7x + 3 = 0 \)II. \( 2y^2 - 9y + 10 = 0 \) 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
- 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. \( x^2 + 7x + 12 = 0 \)II. \( y^2 + 5y + 6 = 0 \) Answer: C. x ≤ y Answer: (C) x ≤ y I gives x = -4, -3. II gives y = -3, -2. Comparing every pair of values: x ≤ y. 1
- What will come in place of the question mark (?)?\( 35\% \text{ of } 640 + 18^2 - 25 \times 6 = ? \) Answer: C. 398 Answer: (C) 398 224 + 324 - 150 = 398 . 1
- What will come in place of the question mark (?)?\( \left(\tfrac{3}{4} \text{ of } 896\right) \div 12 + ? = 85 \) Answer: D. 29 Answer: (D) 29 3/4 × 896 = 672;\ 672 ÷ 12 = 56;\ ? = 85 - 56 = 29 . 1
- What will come in place of the question mark (?)?\( \sqrt{1764} + 3^3 \times 4 - 15\% \text{ of } 300 = ? \) Answer: A. 105 Answer: (A) 105 42 + 108 - 45 = 105 . 1
- What approximate value will come in place of the question mark (?)?\( 24.97\% \text{ of } 799.8 + 14.02 \times 11.96 - 1260.2 \div 35.1 = ? \) Answer: D. 332 Answer: (D) 332 Round: 25% of 800 + 14 × 12 - 1260 ÷ 35 = 200 + 168 - 36 = 332 (exact value ≈ 331.5). 1
- What approximate value will come in place of the question mark (?)?\( \sqrt{624.8} \times 7.99 + 47.9\% \text{ of } 450.2 - ? = 260 \) Answer: D. 156 Answer: (D) 156 Round: 25 × 8 + 48% of 450 = 200 + 216 = 416 ; ? = 416 - 260 = 156 (exact ≈ 155.4). 1
- In a certain code language, MOTHER is written as NNUGFQ. How will BANKER be written in that code language? Answer: D. CZOJFQ Answer: (D) CZOJFQ Letters are changed alternately by +1 and −1: M+1=N, O−1=N, T+1=U, H−1=G, E+1=F, R−1=Q. So B→C, A→Z, N→... 1
- In a certain code language, PLANT is written as UOBMQ. How will GRAIN be written in that code language? Answer: B. OJBSH Answer: (B) OJBSH The word is reversed (PLANT → TNALP) and each letter is moved one step forward (T→U, N→O, A→B, L→M, P→Q).... 1
- In a certain code language, 'rain is good' is written as 'la ko pi', 'good crop yield' is written as 'pi tu re' and 'rain and crop' is written as 'ko re za'. What is the code for 'is'? Answer: A. la Answer: (A) la 'good' = pi (sentences 1 and 2), 'rain' = ko (1 and 3), 'crop' = re (2 and 3). The remaining code in sentence 1... 1
- In a certain code language, 'sun rises east' is written as 'mo fa ri', 'east wind blows' is written as 'ri ka zu' and 'wind and sun' is written as 'fa ka ne'. Which word is coded as 'zu'? Answer: A. blows Answer: (A) blows 'east' = ri (1 and 2), 'sun' = fa (1 and 3), 'wind' = ka (2 and 3). In 'east wind blows' the remaining co... 1
- Ravi starts from point A and walks 8 m towards North. He turns right and walks 6 m, then turns right again and walks 3 m. Finally he turns left and walks 6 m. How far and in which direction is he now from point A? Answer: B. 13 m, North-East Answer: (B) 13 m, North-East Take A as (0, 0). North 8 → (0, 8); right = East 6 → (6, 8); right = South 3 → (6,... 1
- Point P is 5 m to the West of point Q. Point R is 4 m to the North of Q. Point S is 3 m to the East of R. Point T is 4 m to the South of S. What is the distance between P and T, and in which direction is T from P? Answer: D. 8 m, East Answer: (D) 8 m, East Q = (0, 0), P = (−5, 0), R = (0, 4), S = (3, 4), T = (3, 0). T and P lie on the same line, T is 3... 1
- Directions: Eight persons S, T, U, V, W, X, Y and Z sit around a circular table, equally spaced, all facing the centre (not necessarily in the same order).T sits third to the right of S.W sits third to the right of Z.X sits second to the left of Z.Y… Answer: D. Third to the right Answer: (D) Third to the right Fix S; T is third to the right of S. Z, W (third to the right of Z) and X (seco... 1
- Directions: Seven persons A, B, C, D, E, F and G live on seven different floors of a building, one person per floor. The lowermost floor is numbered 1 and the topmost floor is numbered 7. Each of them likes a different colour among Red, Blue, Green,… Answer: D. White Answer: (D) White E is on floor 1, so G is on floor 3 and the Yellow-lover is on floor 2. D likes Black, is above C and has... 1
- In the following question, assume the given statements to be true and decide which of the conclusions definitely follow.Statements: P > Q ≥ R = S < TConclusions: I. P > S II. T > Q Answer: A. Only conclusion I follows Answer: (A) Only conclusion I follows I: P > Q ≥ R = S gives P > S, true. II: Q ≥ S and T > S give no r... 1