Government exams
- A sum of money amounts to ₹6,900 in 3 years and to ₹7,500 in 5 years at simple interest. What is the rate of interest per annum? Answer: D. 5% Answer: (D) 5% Interest for 2 years = 7500 - 6900 = 600, so 300 per year. Principal = 6900 - 3 × 300 = 6000 . Rate = 300/6000... 1
- What is the difference between the compound interest (compounded annually) and the simple interest on ₹12,000 for 2 years at 10% per annum? Answer: A. ₹120 Answer: (A) ₹120 For 2 years, CI - SI = P(R/100)² = 12000 × 0.01 = 120 . Check: CI = 2520, SI = 2400. 1
- Simplify: \(48 \div 4 \times 3 - 5^2 + 7 \times 6 \div 2\) Answer: A. 32 Answer: (A) 32 BODMAS: 5² = 25 . 48 ÷ 4 × 3 = 12 × 3 = 36 . 7 × 6 ÷ 2 = 21 . So 36 - 25 + 21 = 32 . 1
- Find the value of \(\sqrt{2116} + \sqrt[3]{3375} - \sqrt{961}\). Answer: B. 30 Answer: (B) 30 √(2116) = 46 , sqrt[3]3375 = 15 , √(961) = 31 . So 46 + 15 - 31 = 30 . 1
- Pointing to an old man, Kavita said, “He is the father of my mother's only brother.” How is the old man related to Kavita? Answer: D. Grandfather Answer: (D) Grandfather Kavita's mother's only brother is her maternal uncle. His father is also her mother's father,... 1
- If A + B means A is the mother of B; A − B means A is the brother of B; A × B means A is the father of B; and A ÷ B means A is the sister of B, then which of the following is true for P + Q − R × S? Answer: C. P is the grandmother of S Answer: (C) P is the grandmother of S P + Q: P is the mother of Q. Q − R: Q is the brother of R, so P i... 1
- In a certain code language, GARDEN is written as HBSEFO. How will FLOWER be written in that language? Answer: C. GMPXFS Answer: (C) GMPXFS Each letter is moved one place forward: G→H, A→B, R→S, D→E, E→F, N→O. So F→G, L→M, O→P, W→X, E→F, R→S =... 1
- In a certain code language, PEN is written as 70. How will INK be written in that language? Answer: A. 68 Answer: (A) 68 Code = 2 × (sum of alphabet positions). PEN: P(16) + E(5) + N(14) = 35, × 2 = 70. INK: I(9) + N(14) + K(11) = 3... 1
- In a certain code language, ‘sky is blue’ is written as ‘ta pa ni’, ‘blue water flows’ is written as ‘ka ni ro’ and ‘water is cold’ is written as ‘ro ta ve’. What is the code for ‘sky’? Answer: D. pa Answer: (D) pa Sentences 1 and 2 share only ‘blue’ and the code ‘ni’, so blue = ni. Sentences 1 and 3 share only ‘is’ and ‘ta’... 1
- Ravi walks 5 km towards the north, turns right and walks 3 km, then turns right again and walks 9 km. How far and in which direction is he now from his starting point? Answer: B. 5 km, South-East Answer: (B) 5 km, South-East Take the start as (0, 0). North 5 km → (0, 5). Right = east 3 km → (3, 5). Right ag... 1
- A man is facing south. He turns 135° anticlockwise and then 90° clockwise. Which direction is he facing now? Answer: A. South-East Answer: (A) South-East From south, turning anticlockwise goes south → east → north. 90° anticlockwise = East; another... 1
- If ‘+’ means ‘×’, ‘−’ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘−’, what is the value of 8 + 3 − 12 × 4 ÷ 5? Answer: D. 22 Answer: (D) 22 After replacing the signs: 8 × 3 + 12 ÷ 4 - 5 = 24 + 3 - 5 = 22 . 1
- Select the number that will replace the question mark (?) in the following table.5323643475? Answer: A. 47 Answer: (A) 47 Third number = product + sum of the first two: 5 × 3 + 5 + 3 = 23 , 6 × 4 + 6 + 4 = 34 . So 7 × 5 + 7 + 5 = 47... 1
- If 2 → 9, 4 → 65 and 5 → 126, then 3 → ? Answer: D. 28 Answer: (D) 28 Rule: n³ + 1 . 2³ + 1 = 9 , 4³ + 1 = 65 , 5³ + 1 = 126 . So 3³ + 1 = 28 . 1
- In a row of 36 children, Tarun is 11th from the right end. What is his position from the left end? Answer: C. 26th Answer: (C) 26th Position from left = Total - position from right + 1 = 36 - 11 + 1 = 26 th. 1
- Among five boxes P, Q, R, S and T, Q is heavier than R but lighter than T. P is lighter than R. S is heavier than T. Which box is the second lightest? Answer: A. R Answer: (A) R From the statements: S > T > Q > R > P (heaviest to lightest). The lightest is P, so the second lightest is R. 1
- Read the given statements and conclusions carefully. Assuming the statements to be true, decide which of the conclusions logically follow(s).Statements: Some pens are pencils. No pencil is an eraser.Conclusions: I. Some pens are not erasers. II. Some… Answer: D. Only conclusion I follows Answer: (D) Only conclusion I follows The pens that are pencils can never be erasers, so some pens are... 1
- Read the given statements and conclusions carefully. Assuming the statements to be true, decide which of the conclusions logically follow(s).Statements: All roses are flowers. No flower is a stone.Conclusions: I. No rose is a stone. II. Some flowers… Answer: B. Both conclusions I and II follow Answer: (B) Both conclusions I and II follow Roses lie entirely inside flowers, and flowers have... 1
- Of 80 students in a class, 45 study French, 38 study German and 12 study neither language. How many students study only French? Answer: B. 30 Answer: (B) 30 At least one language = 80 - 12 = 68 . Both = 45 + 38 - 68 = 15 . Only French = 45 - 15 = 30 . 1
- Select the option that gives the correct order of the given words as they would appear in an English dictionary.1. Pressure 2. Present 3. Preserve 4. Prestige 5. Press Answer: C. 2, 3, 5, 1, 4 Answer: (C) 2, 3, 5, 1, 4 All begin with PRES. Next letters: Present, Preserve, Press, Pressure, Prestige; e comes... 1
- Select the option that expresses the given sentence in passive voice.The teacher praised the students. Answer: B. The students were praised by the teacher. Answer: (B) The students were praised by the teacher. Simple past active (praised) beco... 1
- Select the most appropriate antonym of the given word.FRUGAL Answer: D. Extravagant Answer: (D) Extravagant Frugal = careful and sparing with money or food. Its opposite is extravagant (spending too mu... 1
- In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.Rainwater harvesting is one of the simplest ways to (1)____ the water crisis in our cities. Rain that fall… Answer: A. tackle Answer: (A) tackle “One of the simplest ways to tackle (deal with) the water crisis”. The other words give the opposite or... 1
- Select the option that expresses the given sentence in indirect speech.He said to me, “Where are you going?” Answer: B. He asked me where I was going. Answer: (B) He asked me where I was going. For a wh-question: “said to” becomes “asked”, no “that”... 1