Government exams
- What is the compound interest on ₹15,625 for 3 years at 8% per annum, compounded annually? Answer: C. ₹4,058 Answer: (C) ₹4,058 Amount = 15625 × (27/25)³ = 15625 × 19683/15625 = 19683 . CI = 19683 - 15625 = 4058 . (₹3,750 is the si... 1
- 12 men or 18 women can complete a piece of work in 14 days. In how many days will 8 men and 16 women together complete the same work? Answer: D. 9 days Answer: (D) 9 days 12 men = 18 women, so 1 man = 1.5 women. 8 men + 16 women = 12 + 16 = 28 women. Work = 18 × 14 = 252 wo... 1
- A car covers 360 km in 6 hours. By how much must its speed be increased to cover the same distance in 4 hours? Answer: C. 30 km/h Answer: (C) 30 km/h Present speed = 360/6 = 60 km/h. Required speed = 360/4 = 90 km/h. Increase = 30 km/h. 1
- Find the value of \(\tan 15^\circ \times \tan 30^\circ \times \tan 45^\circ \times \tan 60^\circ \times \tan 75^\circ\). Answer: A. 1 Answer: (A) 1 tanθ × tan(90^° - θ) = tanθ × cotθ = 1 . So tan 15^° tan 75^° = 1 , tan 30^° tan 60^° = 1 and tan 45^° = 1 . Prod... 1
- What is the least number which, when divided by 12, 15, 20 and 54, leaves a remainder of 8 in each case? Answer: A. 548 Answer: (A) 548 LCM(12, 15, 20, 54) = 540. Required number = 540 + 8 = 548 . 1
- How many numbers between 100 and 300 are exactly divisible by 7? Answer: D. 28 Answer: (D) 28 Multiples of 7 up to 299: lfloor 299/7 rfloor = 42 . Up to 100: lfloor 100/7 rfloor = 14 . Count = 42 - 14 = 28... 1
- What is the unit digit of \(3^{65} \times 7^{42}\)? Answer: B. 7 Answer: (B) 7 Unit digits of powers of 3 cycle 3, 9, 7, 1; 65 = 4 × 16 + 1 , so 3⁶⁵ ends in 3. Powers of 7 cycle 7, 9, 3, 1; 42... 1
- If 35% of a number is 147, what is 60% of that number? Answer: D. 252 Answer: (D) 252 Number = 147 × 100/35 = 420 . 60% of 420 = 252 . (Shortcut: 147 × 60/35 = 252 .) 1
- In an election between two candidates, the winner got 58% of the valid votes and won by 1,920 votes. What was the total number of valid votes? Answer: B. 12,000 Answer: (B) 12,000 Loser got 42%. Margin = 58% - 42% = 16% of valid votes = 1920 . Total = 1920/0.16 = 12000 . 1
- Simplify: \(\frac{3}{4}\) of \(\frac{8}{9}\) of 405 + 25% of 240 Answer: A. 330 Answer: (A) 330 3/4 × 8/9 × 405 = 2/3 × 405 = 270 . 25% of 240 = 60. Total = 330 . 1
- Find the value of \(\frac{0.6 \times 0.6 \times 0.6 + 0.4 \times 0.4 \times 0.4}{0.6 \times 0.6 - 0.6 \times 0.4 + 0.4 \times 0.4}\). Answer: C. 1 Answer: (C) 1 Use a³ + b³/a² - ab + b² = a + b . With a = 0.6, b = 0.4 : value = 0.6 + 0.4 = 1 . 1
- Select the option that is related to the third number in the same way as the second number is related to the first number.11 : 132 :: 13 : ? Answer: D. 182 Answer: (D) 182 Rule: n × (n + 1) . 11 × 12 = 132 . So 13 × 14 = 182 . 1
- Select the option that is related to the third word in the same way as the second word is related to the first word.BEAT : CFBU :: FOOT : ? Answer: C. GPPU Answer: (C) GPPU Each letter moves one place forward: B→C, E→F, A→B, T→U. So F→G, O→P, O→P, T→U = GPPU. 1
- Select the option that is related to the third word in the same way as the second word is related to the first word.Cobbler : Leather :: Carpenter : ? Answer: A. Wood Answer: (A) Wood A cobbler works with leather (his raw material); a carpenter works with wood. Furniture is the product and... 1
- A woman introduces a man as “the son of my mother's only brother”. How is the man related to the woman? Answer: C. Cousin Answer: (C) Cousin Her mother's only brother is her maternal uncle. The uncle's son is her cousin. Convention: only the re... 1
- X is the husband of Y. Z is the daughter of X. W is the brother of Y. How is W related to Z? Answer: D. Maternal uncle Answer: (D) Maternal uncle Y is Z's mother (wife of Z's father X). W is the brother of Z's mother, i.e. Z's matern... 1
- Three of the following four words are alike in a certain way and one is different. Select the odd one out. Answer: D. Cylinder Answer: (D) Cylinder Triangle, square and pentagon are two-dimensional plane figures (polygons). A cylinder is a three-d... 1
- In a certain code language, MONEY is written as NLMVB. How will WATER be written in that language? Answer: A. DZGVI Answer: (A) DZGVI Each letter is replaced by its opposite letter in the alphabet (A↔Z, B↔Y, …; position p becomes 27 − p):... 1
- In a certain code language, MOTHER is written as OQVJGT. How will SISTER be written in that language? Answer: C. UKUVGT Answer: (C) UKUVGT Each letter moves two places forward: M→O, O→Q, T→V, H→J, E→G, R→T. So S→U, I→K, S→U, T→V, E→G, R→T = U... 1
- In a certain code language, ‘pit nat sor’ means ‘good morning friends’, ‘sor kel pit’ means ‘friends are good’ and ‘nat dum’ means ‘morning walk’. What is the code for ‘are’? Answer: B. kel Answer: (B) kel Sentences 1 and 2 share the words ‘good’ and ‘friends’ and the codes ‘pit’ and ‘sor’. The only word left in s... 1
- Aman starts from point P and walks 5 m towards the east. He then turns left and walks 12 m. How far is he from point P? Answer: A. 13 m Answer: (A) 13 m East 5 m and then left (north) 12 m form a right angle. Distance = √(5² + 12²) = √(169) = 13 m. 1
- Sunita walks 10 km towards the south, turns left and walks 4 km, turns left again and walks 7 km, and then turns right and walks 2 km. In which direction is she now from her starting point? Answer: B. South-East Answer: (B) South-East Start (0, 0). South 10 → (0, −10). Left of south is east: 4 km → (4, −10). Left of east is nort... 1
- If A means ‘+’, B means ‘−’, C means ‘×’ and D means ‘÷’, then what is the value of 18 D 3 C 4 A 6 B 5? Answer: C. 25 Answer: (C) 25 Replace the letters: 18 ÷ 3 × 4 + 6 - 5 . BODMAS: 18 ÷ 3 = 6 , 6 × 4 = 24 , 24 + 6 - 5 = 25 . 1
- Select the number that will replace the question mark (?) in the following table.6420853993? Answer: B. 72 Answer: (B) 72 Third number = difference of the squares: 6² - 4² = 20 , 8² - 5² = 39 . So 9² - 3² = 81 - 9 = 72 . 1