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The HCF of two numbers is 15 and their LCM is 420. If one of the numbers is 105, what is the other number? Answer: D. 60 Answer: (D) 60 Product of two numbers = HCF × LCM. Other number = 15 × 420/105 = 60 . Check: HCF(60, 105) = 15 and LCM = 420. HCF and LCM 1 answer
A number is first increased by 20% and then the result is decreased by 25%. What is the net percentage change in the number? Answer: C. 10% decrease Answer: (C) 10% decrease Let the number be 100. After +20%: 120. After −25%: 120 × 0.75 = 90 . Net change = 10% decr... Percentage 1 answer
The population of a town increased by 10% in the first year and decreased by 10% in the second year. If the population at the end of the second year is 39,600, what was it at the beginning of the first year? Answer: A. 40,000 Answer: (A) 40,000 P × 1.1 × 0.9 = 0.99P = 39600 , so P = 40000 . (A 10% rise followed by a 10% fall is a net 1% fall.) Percentage 1 answer
₹7,800 is divided among A, B and C in the ratio \(\frac{1}{2} : \frac{1}{3} : \frac{1}{4}\). What is B's share? Answer: B. ₹2,400 Answer: (B) ₹2,400 Multiply by LCM 12: ratio = 6 : 4 : 3, total 13 parts. B's share = 4/13 × 7800 = 2400 . Ratio and proportion 1 answer
The average of 11 numbers is 36. The average of the first six numbers is 32 and that of the last six numbers is 40. What is the sixth number? Answer: D. 36 Answer: (D) 36 The 6th number is counted in both groups. Sixth = 6 × 32 + 6 × 40 - 11 × 36 = 192 + 240 - 396 = 36 . Average 1 answer
The average age of 30 students in a class is 14 years. When the teacher's age is included, the average becomes 15 years. What is the teacher's age? Answer: B. 45 years Answer: (B) 45 years Teacher's age = 31 × 15 - 30 × 14 = 465 - 420 = 45 years. Average 1 answer
A shopkeeper marks an article 40% above its cost price and allows a discount of 20% on the marked price. What is his profit percentage? Answer: A. 12% Answer: (A) 12% Let CP = 100. MP = 140. SP = 80% of 140 = 112. Profit = 12%. (Formula: 40 - 20 - 40 × 20/100 = 12% .) Profit, loss and discount 1 answer
By selling an article for ₹1,140, a man loses 5%. At what price should he sell it to gain 15%? Answer: C. ₹1,380 Answer: (C) ₹1,380 CP = 1140/0.95 = 1200 . SP for 15% gain = 1200 × 1.15 = 1380 . Profit, loss and discount 1 answer
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... Simple and compound interest 1 answer
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. Simple and compound interest 1 answer
Read the passage carefully and answer the question that follows.In many villages of India, the nearest public library is often a bus ride away, and for a child who must help at home after school, that distance is reason enough never to go. Over the l… Answer: D. The trust between the library and its readers Answer: (D) The trust between the library and its readers The passage says plainly:... Reading comprehension 1 answer
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... Cloze test 1 answer
Select the most appropriate synonym of the given word.ABUNDANT Answer: B. Plentiful Answer: (B) Plentiful Abundant = existing in large quantities, i.e. plentiful. “Scarce” is its antonym. Synonyms 1 answer
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... Antonyms 1 answer
The following sentence has been divided into parts. One of them contains an error. Select the part that contains the error.Each of the students / have submitted / the project report / before the deadline. Answer: B. have submitted Answer: (B) have submitted “Each of + plural noun” takes a singular verb. Correct: “Each of the students has submi... Error spotting 1 answer
The following sentence has been divided into parts. One of them contains an error. Select the part that contains the error.If I would have known / about the meeting, / I would have / attended it. Answer: A. If I would have known Answer: (A) If I would have known In a past unreal condition the if-clause takes the past perfect, not “wou... Error spotting 1 answer
The following sentence has been divided into parts. One of them contains an error. Select the part that contains the error.Unless you do not / work hard, / you will not / pass the exam. Answer: A. Unless you do not Answer: (A) Unless you do not “Unless” already means “if not”, so it must not be followed by another “not”. Cor... Error spotting 1 answer
Select the most appropriate option to fill in the blank.The old man was ______ of all charges after the court found no evidence against him. Answer: A. acquitted Answer: (A) acquitted To acquit someone of a charge = to declare them not guilty. “Accused of all charges” contradicts... Fill in the blanks 1 answer
Select the most appropriate option to fill in the blank.No sooner had the bell rung ______ the children rushed out of the classroom. Answer: B. than Answer: (B) than “No sooner … than” is a fixed pair (“Hardly/Scarcely … when” is the other one). So: No sooner had the bell... Fill in the blanks 1 answer
Select the most appropriate option to fill in the blank.He has been living in Pune ______ 2015. Answer: B. since Answer: (B) since With the present perfect continuous, a point of time takes “since” (since 2015); a period of time takes “... Fill in the blanks 1 answer
Select the most appropriate meaning of the given idiom.To be in hot water Answer: C. To be in trouble Answer: (C) To be in trouble To be in hot water = to be in trouble, usually because of something one has done, e... Idioms and phrases 1 answer
Select the most appropriate meaning of the given idiom.To beat around the bush Answer: A. To avoid coming to the main point Answer: (A) To avoid coming to the main point To beat around (about) the bush = to talk around... Idioms and phrases 1 answer
Select the option that can be used as a one-word substitute for the given group of words.A person who can speak two languages fluently Answer: C. Bilingual Answer: (C) Bilingual Bi = two, lingual = of language: bilingual. A polyglot knows many languages; a linguist studies l... One-word substitution 1 answer
Select the option that can be used as a one-word substitute for the given group of words.Government by a small group of people Answer: A. Oligarchy Answer: (A) Oligarchy Oligarchy = rule by a few (Greek oligos = few). Monarchy is rule by one king or queen, democracy... One-word substitution 1 answer

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