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- Which river is known as the ‘Sorrow of Bihar’? Answer: A. Kosi Answer: (A) Kosi The Kosi often changes its course and causes severe floods in Bihar, hence the name. The Damodar was called... 1
- Which of the following is a kharif crop? Answer: B. Rice Answer: (B) Rice Kharif crops are sown with the onset of the monsoon (June–July) and harvested in September–October: rice, m... 1
- The present ages of a father and his son are in the ratio 9 : 4. After 5 years, the ratio of their ages will be 2 : 1. What is the father's present age? Answer: C. 45 years Answer: (C) 45 years Let the ages be 9x and 4x . 9x + 5/4x + 5 = 2/1 ⇒ 9x + 5 = 8x + 10 ⇒ x = 5 . Father = 9 × 5 = 45 ye... 1
- A trader sells two articles for ₹4,800 each. On one he gains 20% and on the other he loses 20%. What is his overall gain or loss percentage? Answer: D. 4% loss Answer: (D) 4% loss CP of first = 4800/1.2 = 4000 ; CP of second = 4800/0.8 = 6000 . Total CP = 10000, total SP = 9600. L... 1
- 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 and B start a business with ₹24,000 and ₹36,000 respectively. After 4 months, A invests ₹12,000 more. At the end of the year the total profit is ₹34,000. What is A's share of the profit? Answer: A. ₹16,000 Answer: (A) ₹16,000 A's capital-months = 24000 × 4 + 36000 × 8 = 384000 . B's = 36000 × 12 = 432000 . Ratio = 384 : 432 =... 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
- A boat goes 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream? Answer: B. 3 km/h Answer: (B) 3 km/h Downstream speed = 15 km/h, upstream speed = 9 km/h. Stream speed = 15 - 9/2 = 3 km/h (boat speed = 12... 1
- Two chords AB and CD of a circle intersect at a point P inside the circle. If AP = 6 cm, PB = 4 cm and CP = 3 cm, find PD. Answer: D. 8 cm Answer: (D) 8 cm Intersecting chords theorem: AP × PB = CP × PD . 6 × 4 = 3 × PD ⇒ PD = 8 cm. 1
- A solid metallic sphere of radius 6 cm is melted and recast into a cone whose base radius is 6 cm. What is the height of the cone? Answer: C. 24 cm Answer: (C) 24 cm Volumes are equal: 4/3π (6)³ = 1/3π (6)² h ⇒ h = 4 × 216/36 = 24 cm. 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
- The table shows how a family spends its monthly income of ₹48,000.HeadFoodRentEducationTransportSavingsShare of income35%20%15%10%20%How much more money does the family spend on food than on education every month? Answer: D. ₹9,600 Answer: (D) ₹9,600 Difference in share = 35% - 15% = 20% . 20% of ₹48,000 = ₹9,600 . (Food = ₹16,800, Education = ₹7,200.) 1
- From which place did Mahatma Gandhi begin the Dandi March in 1930? Answer: C. Sabarmati Ashram Answer: (C) Sabarmati Ashram Gandhi set out from Sabarmati Ashram, Ahmedabad on 12 March 1930 and reached Dandi... 1
- The Right to Constitutional Remedies is provided under which Article of the Constitution of India? Answer: A. Article 32 Answer: (A) Article 32 Article 32 lets a citizen move the Supreme Court for enforcement of Fundamental Rights; Dr B.R.... 1
- The words ‘Socialist’ and ‘Secular’ were added to the Preamble of the Indian Constitution by which Amendment? Answer: D. 42nd Amendment, 1976 Answer: (D) 42nd Amendment, 1976 The 42nd Amendment (1976) added ‘Socialist’, ‘Secular’ and ‘Integrity’ to t... 1
- Who presides over a joint sitting of both Houses of the Parliament of India? Answer: B. The Speaker of the Lok Sabha Answer: (B) The Speaker of the Lok Sabha A joint sitting is summoned by the President under Article... 1
- The Ten Degree Channel separates: Answer: D. the Andaman Islands and the Nicobar Islands Answer: (D) the Andaman Islands and the Nicobar Islands The Ten Degree Channel lies b... 1
- If 2 → 6, 3 → 24 and 4 → 60, then 5 → ? Answer: A. 120 Answer: (A) 120 Rule: n³ - n . 8 - 2 = 6 , 27 - 3 = 24 , 64 - 4 = 60 . So 125 - 5 = 120 . 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
- 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
- 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
- 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