Government exams
- The table shows the total number of students enrolled in five coaching centres (P to T) and the percentage of girls among them. Study it and answer the question.CentreTotal studentsGirls (%)P60040%Q75052%R48045%S90038%T52055%How many boys are enrolle… Answer: C. 558 Answer: (C) 558 Boys = 62% of 900 = 558. 1
- The table shows the total number of students enrolled in five coaching centres (P to T) and the percentage of girls among them. Study it and answer the question.CentreTotal studentsGirls (%)P60040%Q75052%R48045%S90038%T52055%What is the total number… Answer: B. 456 Answer: (B) 456 P: 40% of 600 = 240. R: 45% of 480 = 216. Total = 456. 1
- The table shows the total number of students enrolled in five coaching centres (P to T) and the percentage of girls among them. Study it and answer the question.CentreTotal studentsGirls (%)P60040%Q75052%R48045%S90038%T52055%What is the ratio of the… Answer: D. 5 : 3 Answer: (D) 5 : 3 Girls in Q = 52% of 750 = 390. Boys in T = 45% of 520 = 234. 390 : 234 = 5 : 3. 1
- The table shows the total number of students enrolled in five coaching centres (P to T) and the percentage of girls among them. Study it and answer the question.CentreTotal studentsGirls (%)P60040%Q75052%R48045%S90038%T52055%What is the average numbe… Answer: B. 650 Answer: (B) 650 Total = 600 + 750 + 480 + 900 + 520 = 3250. Average = 3250 ÷ 5 = 650. 1
- The table shows the total number of students enrolled in five coaching centres (P to T) and the percentage of girls among them. Study it and answer the question.CentreTotal studentsGirls (%)P60040%Q75052%R48045%S90038%T52055%The number of girls in ce… Answer: A. 32.41% Answer: (A) 32.41% Girls in T = 55% of 520 = 286; girls in R = 216. 286-216/216 × 100 = 70/216 × 100 ≈ 32.41% . (24.48% us... 1
- What is the volume of a cylinder with radius 7 cm and height 10 cm (in cubic cm)? (Take \( \pi = \frac{22}{7} \).) Answer: D. 1540 Answer: (D) 1540 V = π r² h = 22/7 × 49 × 10 = 1540 cubic cm. 1
- In what ratio must rice costing Rs. 42 per kg be mixed with rice costing Rs. 54 per kg so that the mixture costs Rs. 46 per kg? Answer: D. 2 : 1 Answer: (D) 2 : 1 By alligation: (54 − 46) : (46 − 42) = 8 : 4 = 2 : 1. 1
- What is the least number that must be added to 1,000 so that the sum is exactly divisible by 23? Answer: D. 12 Answer: (D) 12 1000 ÷ 23 leaves remainder 11 (23 × 43 = 989). Add 23 − 11 = 12 to get 1012 = 23 × 44. 1
- A, B and C start a business with Rs. 20,000, Rs. 30,000 and Rs. 45,000 respectively. After 6 months, A adds Rs. 10,000 more. Out of a profit of Rs. 48,000 at the end of the year, what is A's share (in Rs.)? Answer: C. 12000 Answer: (C) 12000 A: 20000 × 6 + 30000 × 6 = 300000; B: 30000 × 12 = 360000; C: 45000 × 12 = 540000. Ratio = 5 : 6 : 9. A's... 1
- Ramesh spends 65% of his salary and saves the rest. His salary increases by 20% and his expenditure increases by 10%. By approximately what percent do his savings increase? Answer: A. 38.57% Answer: (A) 38.57% Take salary 100: expenditure 65, savings 35. New salary 120, new expenditure 71.5, new savings 48.5. In... 1
- The population of a village increases by 10% every year. If its present population is 12,100, what was its population 2 years ago? Answer: A. 10000 Answer: (A) 10000 Population 2 years ago = 12100/(1.1)² = 12100/1.21 = 10000 . 1
- A pipe can fill a tank in 8 hours. Because of a leak at the bottom, it takes 10 hours to fill the tank. In how many hours can the leak alone empty the full tank? Answer: B. 40 Answer: (B) 40 Leak rate = 1/8 - frac110 = 1/40 . The leak empties the tank in 40 hours. 1
- Two fair dice are thrown together. What is the probability that the sum of the numbers on them is 8? Answer: C. 5/36 Answer: (C) 5/36 Favourable outcomes: (2,6), (3,5), (4,4), (5,3), (6,2) = 5 out of 36. Probability = 5/36. 1
- By selling an article for Rs. 1,512, a shopkeeper gains 12%. At what price (in Rs.) should he sell it to gain 20%? Answer: C. 1620 Answer: (C) 1620 CP = 1512 ÷ 1.12 = Rs. 1,350. For 20% gain, SP = 1350 × 1.2 = Rs. 1,620. 1
- An article is marked at Rs. 2,500. Two successive discounts of 20% and 10% are given on it. What is the selling price (in Rs.)? Answer: D. 1800 Answer: (D) 1800 SP = 2500 × 0.80 × 0.90 = Rs. 1,800. (A single 30% discount would wrongly give Rs. 1,750.) 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. \( 2x^2 - 11x + 15 = 0 \)II. \( 3y^2 - 8y + 4 = 0 \) Answer: A. x > y Answer: (A) x > y I gives x = 2.5, 3. II gives y = 0.67, 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. \( x^2 - 4x + 4 = 0 \)II. \( y^2 - 5y + 6 = 0 \) Answer: C. x ≤ y Answer: (C) x ≤ y I gives x = 2. II gives y = 2, 3. 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. \( x^2 + 11x + 30 = 0 \)II. \( y^2 + 13y + 42 = 0 \) Answer: B. x ≥ y Answer: (B) x ≥ y I gives x = -6, -5. II gives y = -7, -6. Comparing every pair of values: x ≥ y. 1
- The ratio of boys to girls in a class is 4 : 5. When 8 more boys join the class, the numbers of boys and girls become equal. How many girls are there in the class? Answer: B. 40 Answer: (B) 40 4k + 8 = 5k gives k = 8. Girls = 5 × 8 = 40. 1
- What is the mean proportional between 9 and 64? Answer: C. 24 Answer: (C) 24 Mean proportional = √(9 × 64) = √(576) = 24 . 1
- A sum of money lent at simple interest amounts to Rs. 7,800 in 3 years and to Rs. 9,000 in 5 years. What is the rate of interest per annum? Answer: B. 10% Answer: (B) 10% Interest for 2 years = 9000 − 7800 = 1200, so Rs. 600 per year. Principal = 7800 − 3 × 600 = 6000. Rate = 600... 1
- What is the compound interest on Rs. 16,000 at 10% per annum for 3 years, compounded annually (in Rs.)? Answer: C. 5296 Answer: (C) 5296 Amount = 16000 × (1.1)³ = 21296 . CI = 21296 − 16000 = Rs. 5,296. 1
- A and B together can finish a work in 12 days, B and C in 15 days, and C and A in 20 days. In how many days can A, B and C together finish it? Answer: C. 10 Answer: (C) 10 2(A + B + C) = 1/12+1/15+1/20 = 12/60 = 1/5 . So A + B + C = 1/10 : 10 days. 1
- Two trains, 150 m and 210 m long, run on parallel tracks in opposite directions at 45 km/h and 63 km/h. How many seconds do they take to cross each other completely? Answer: A. 12 Answer: (A) 12 Relative speed = 108 km/h = 30 m/s. Distance = 150 + 210 = 360 m. Time = 360 ÷ 30 = 12 s. 1