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321. A price is decreased by 30% and then increased by 50%. Find the net percentage change.
- A. 20% increase
- B. 30% increase
- C. 5.0% increase
- D. 10.0% increase
Answer: 5.0% increase
Explanation: Take 100. After a 30% fall it is 70; a 50% rise on that gives 70 x 1.5 = 105. Net change = 5% increase, because the rise applies to the reduced base, not the original.
322. A price is decreased by 15% and then increased by 20%. Find the net percentage change.
- A. 7.0% increase
- B. 5% increase
- C. 2.0% increase
- D. 15% increase
Answer: 2.0% increase
Explanation: Take 100. After a 15% fall it is 85; a 20% rise on that gives 85 x 1.2 = 102. Net change = 2% increase, because the rise applies to the reduced base, not the original.
323. A quantity increases from 240 to 300. Find the percentage increase.
- A. 15%
- B. 25%
- C. 20%
- D. 30%
Answer: 25%
Explanation: Increase = 300 - 240 = 60. Percentage increase = increase / original x 100 = 60/240 x 100 = 25%, always measured on the original value.
324. A quantity increases from 150 to 210. Find the percentage increase.
- A. 45%
- B. 40%
- C. 35%
- D. 30%
Answer: 40%
Explanation: Increase = 210 - 150 = 60. Percentage increase = increase / original x 100 = 60/150 x 100 = 40%, always measured on the original value.
325. A quantity increases from 320 to 400. Find the percentage increase.
- A. 20%
- B. 25%
- C. 30%
- D. 15%
Answer: 25%
Explanation: Increase = 400 - 320 = 80. Percentage increase = increase / original x 100 = 80/320 x 100 = 25%, always measured on the original value.
326. A quantity increases from 180 to 225. Find the percentage increase.
- A. 30%
- B. 25%
- C. 15%
- D. 20%
Answer: 25%
Explanation: Increase = 225 - 180 = 45. Percentage increase = increase / original x 100 = 45/180 x 100 = 25%, always measured on the original value.
327. In an election, candidate A got 62% of votes and won by 1440 votes over B. Find the total votes.
- A. 5500
- B. 6500
- C. 6000
- D. 5000
Answer: 6000
Explanation: B gets 38%, so the winning margin is 62% - 38% = 24% of total votes. 24% of total = 1440, so total = 1440 x 100 / 24 = 6000 votes.
328. In an election, candidate A got 52% of votes and won by 600 votes over B. Find the total votes.
- A. 15500
- B. 14500
- C. 14000
- D. 15000
Answer: 15000
Explanation: B gets 48%, so the winning margin is 52% - 48% = 4% of total votes. 4% of total = 600, so total = 600 x 100 / 4 = 15000 votes.
329. In an election, candidate A got 58% of votes and won by 960 votes over B. Find the total votes.
- A. 6000
- B. 5000
- C. 5500
- D. 6500
Answer: 6000
Explanation: B gets 42%, so the winning margin is 58% - 42% = 16% of total votes. 16% of total = 960, so total = 960 x 100 / 16 = 6000 votes.
330. If 65% of a number is 260, find the number.
- A. 420
- B. 380
- C. 360
- D. 400
Answer: 400
Explanation: If 65% of a number is 260, then the number = 260 x 100 / 65 = 400. Dividing the given value by the percentage and multiplying by 100 gives the whole.
331. If 45% of a number is 180, find the number.
- A. 360
- B. 380
- C. 420
- D. 400
Answer: 400
Explanation: If 45% of a number is 180, then the number = 180 x 100 / 45 = 400. Dividing the given value by the percentage and multiplying by 100 gives the whole.
332. If 35% of a number is 105, find the number.
- A. 300
- B. 320
- C. 280
- D. 260
Answer: 300
Explanation: If 35% of a number is 105, then the number = 105 x 100 / 35 = 300. Dividing the given value by the percentage and multiplying by 100 gives the whole.
333. If 15% of a number is 45, find the number.
- A. 260
- B. 300
- C. 320
- D. 280
Answer: 300
Explanation: If 15% of a number is 45, then the number = 45 x 100 / 15 = 300. Dividing the given value by the percentage and multiplying by 100 gives the whole.
334. A student scored 315 out of 450. Find the percentage.
- A. 66%
- B. 62%
- C. 74%
- D. 70%
Answer: 70%
Explanation: Percentage = (marks scored / total marks) x 100 = 315/450 x 100 = 70%. So the student scored 70%.
335. A student scored 357 out of 510. Find the percentage.
- A. 70%
- B. 62%
- C. 66%
- D. 74%
Answer: 70%
Explanation: Percentage = (marks scored / total marks) x 100 = 357/510 x 100 = 70%. So the student scored 70%.
336. A student scored 408 out of 600. Find the percentage.
- A. 72%
- B. 60%
- C. 64%
- D. 68%
Answer: 68%
Explanation: Percentage = (marks scored / total marks) x 100 = 408/600 x 100 = 68%. So the student scored 68%.
337. 153 is what percent of 340?
- A. 50%
- B. 45%
- C. 35%
- D. 40%
Answer: 45%
Explanation: Percentage = part/whole x 100 = 153/340 x 100 = 45%.
338. 96 is what percent of 320?
- A. 30%
- B. 35%
- C. 20%
- D. 25%
Answer: 30%
Explanation: Percentage = part/whole x 100 = 96/320 x 100 = 30%.
339. 84 is what percent of 240?
- A. 35%
- B. 25%
- C. 40%
- D. 30%
Answer: 35%
Explanation: Percentage = part/whole x 100 = 84/240 x 100 = 35%.
340. 126 is what percent of 360?
- A. 25%
- B. 35%
- C. 30%
- D. 40%
Answer: 35%
Explanation: Percentage = part/whole x 100 = 126/360 x 100 = 35%.
341. 63 is what percent of 180?
- A. 35%
- B. 25%
- C. 40%
- D. 30%
Answer: 35%
Explanation: Percentage = part/whole x 100 = 63/180 x 100 = 35%.
342. What is 25% of 880?
- A. 220
- B. 228
- C. 204
- D. 212
Answer: 220
Explanation: 25% of 880 = 25/100 x 880 = 220.
343. What is 44% of 750?
- A. 322
- B. 338
- C. 314
- D. 330
Answer: 330
Explanation: 44% of 750 = 44/100 x 750 = 330.
344. What is 35% of 1200?
- A. 420
- B. 428
- C. 404
- D. 412
Answer: 420
Explanation: 35% of 1200 = 35/100 x 1200 = 420.
345. What is 65% of 900?
- A. 593
- B. 585
- C. 569
- D. 577
Answer: 585
Explanation: 65% of 900 = 65/100 x 900 = 585.
346. What is 45% of 560?
- A. 236
- B. 252
- C. 244
- D. 260
Answer: 252
Explanation: 45% of 560 = 45/100 x 560 = 252.
347. What is 15% of 720?
- A. 116
- B. 92
- C. 100
- D. 108
Answer: 108
Explanation: 15% of 720 = 15/100 x 720 = 108.
348. In an exam, passing marks are 33%. A student got 132 marks and failed by 33 marks. Find the maximum marks.
- A. 480
- B. 500
- C. 450
- D. 550
Answer: 500
Explanation: Passing marks = 132 + 33 = 165, which is 33% of the maximum. Maximum = 165 x 100/33 = 500 marks.
349. A man spends 80% of his income and saves Rs1200. Find his income.
- A. Rs6000
- B. Rs5000
- C. Rs5500
- D. Rs6500
Answer: Rs6000
Explanation: He spends 80%, so he saves 20% of his income. 20% of income = 1200, so income = 1200 x 100/20 = Rs6000.
350. If a number is increased by 25%, it becomes 250. Find the original number.
- A. 220
- B. 180
- C. 200
- D. 210
Answer: 200
Explanation: Original x increased by 25% gives 1.25x = 250, so x = 250/1.25 = 200. Check: 25% of 200 = 50 and 200 + 50 = 250.
351. 45% of 900 is equal to what?
- A. 400
- B. 410
- C. 395
- D. 405
Answer: 405
Explanation: 45% of 900 = 45/100 x 900 = 405.
352. A price is decreased by 25% and then increased by 40%. Find the net percentage change.
- A. 10% increase
- B. No change
- C. 5% increase
- D. 15% increase
Answer: 5% increase
Explanation: Start with 100: a 25% decrease gives 75, then a 40% increase gives 75 x 1.4 = 105. The net change is a 5% increase.
353. A population of 8000 grows at 15% per annum. Find the population after 2 years.
- A. 10600
- B. 10400
- C. 10580
- D. 10800
Answer: 10580
Explanation: After 2 years at 15% compounded: 8000 x 1.15 x 1.15 = 9200 x 1.15 = 10580. Simple growth would give 10400, but the second year's growth applies to 9200.
354. An item with MRP Rs1500 is sold at a 15% discount. Find the selling price.
- A. Rs1300
- B. Rs1250
- C. Rs1350
- D. Rs1275
Answer: Rs1275
Explanation: Discount = 15% of 1500 = 225, so selling price = 1500 - 225 = Rs1275 (or 85% of 1500 = 1275).
355. A's income is 40% more than B's. By what percent is B's income less than A's (approx)?
- A. 35%
- B. 25%
- C. 40%
- D. ≈28.57%
Answer: ≈28.57%
Explanation: Let B = 100, so A = 140. B is less than A by (140 - 100)/140 x 100 = 40/140 x 100 = 28.57% (approx), not 40%, since the base changes to A.
356. A price is decreased by 10% and then increased by 20%. Find the net percentage change.
- A. 5% increase
- B. 10% increase
- C. 12% increase
- D. 8% increase
Answer: 8% increase
Explanation: Start with 100: a 10% decrease gives 90, then a 20% increase gives 90 x 1.2 = 108. The net change is +8%. Simply adding -10 and +20 would give a wrong 10%.
357. A quantity increases from 200 to 260. Find the percentage increase.
- A. 25%
- B. 20%
- C. 35%
- D. 30%
Answer: 30%
Explanation: Increase = 260 - 200 = 60. Percentage increase = 60/200 x 100 = 30%.
358. If 70% of a number is 210, find the number.
- A. 300
- B. 280
- C. 250
- D. 320
Answer: 300
Explanation: 70% of the number = 210, so the number = 210 x 100/70 = 300. Check: 70% of 300 = 210.
359. In an election with only two candidates, the winner got 55% of votes and won by 900 votes. Find the total votes.
- A. 8000
- B. 8500
- C. 9500
- D. 9000
Answer: 9000
Explanation: Winner 55% and loser 45% (only two candidates), so the margin is 10% of total votes = 900. Total votes = 900 x 100/10 = 9000.
360. If 30% of a number is 90, find the number.
- A. 250
- B. 300
- C. 270
- D. 330
Answer: 300
Explanation: 30% of the number = 90, so the number = 90 x 100/30 = 300. Check: 30% of 300 = 90.
361. A student scored 378 out of 540. Find the percentage.
- A. 70%
- B. 72%
- C. 68%
- D. 65%
Answer: 70%
Explanation: Percentage = part/whole x 100 = 378/540 x 100 = 70%.
362. If the price of a commodity rises by 20%, by what percent must consumption be reduced to keep expenditure the same?
- A. ≈16.67%
- B. 20%
- C. 18%
- D. 15%
Answer: ≈16.67%
Explanation: If price rises 20%, new price is 120 for old 100. To keep spending the same, consumption must fall by 20/120 x 100 = 16.67% (not 20%).
363. 72 is what percent of 240?
- A. 35%
- B. 30%
- C. 25%
- D. 20%
Answer: 30%
Explanation: Percentage = part/whole x 100 = 72/240 x 100 = 30%.
364. What is 35% of 480?
- A. 168
- B. 175
- C. 160
- D. 180
Answer: 168
Explanation: 35% of 480 = 35/100 x 480 = 168.
365. A number is decreased by 30% and then increased by 50%. Find the net percentage change.
- A. 5% decrease
- B. 5% increase
- C. No change
- D. 10% increase
Answer: 5% increase
Explanation: Take the number as 100: after a 30% decrease it is 70, then a 50% increase gives 70 x 1.5 = 105. The net change is +5%, i.e. a 5% increase.
366. A population of 5000 grows at 10% per annum. Find the population after 2 years.
- A. 6100
- B. 6050
- C. 5500
- D. 6000
Answer: 6050
Explanation: After 2 years at 10% compounded: 5000 x 1.1 x 1.1 = 5500 x 1.1 = 6050. Simple growth of 6000 ignores that the second year's 10% applies to 5500.
367. An item with MRP Rs800 is sold at a 10% discount. Find the selling price.
- A. Rs700
- B. Rs720
- C. Rs750
- D. Rs740
Answer: Rs720
Explanation: Discount = 10% of 800 = 80, so selling price = 800 - 80 = Rs720 (or 90% of 800 = 720).
368. A's income is 25% more than B's. By what percent is B's income less than A's?
- A. 20%
- B. 25%
- C. 30%
- D. 15%
Answer: 20%
Explanation: Let B = 100, so A = 125. B is less than A by 25, so the percentage is 25/125 x 100 = 20.00%. The base is A's income here, which is why it is not simply 25%.
369. A price is decreased by 20% and then increased by 25%. Find the net percentage change.
- A. 10% increase
- B. No change (0%)
- C. 5% increase
- D. 5% decrease
Answer: No change (0%)
Explanation: Take 100. After a 20% fall it is 80; a 25% rise on that gives 80 x 1.25 = 100. The final value equals the start, so there is no net change.
370. A quantity increases from 250 to 300. Find the percentage increase.
- A. 15%
- B. 20%
- C. 18%
- D. 25%
Answer: 20%
Explanation: Increase = 300 - 250 = 50. Percentage increase = increase / original x 100 = 50/250 x 100 = 20%, always measured on the original value.
371. 60% of a number is 180. Find the number.
- A. 270
- B. 250
- C. 320
- D. 300
Answer: 300
Explanation: If 60% of a number is 180, then the number = 180 x 100 / 60 = 300. Dividing the given value by the percentage and multiplying by 100 gives the whole.
372. In an election, candidate A got 60% of votes and won by 1200 votes over B. Find the total votes.
- A. 7000
- B. 6000
- C. 6500
- D. 5000
Answer: 6000
Explanation: B gets 40%, so the winning margin is 60% - 40% = 20% of total votes. 20% of total = 1200, so total = 1200 x 100 / 20 = 6000 votes.
373. If 20% of a number is 50, find the number.
- A. 200
- B. 250
- C. 300
- D. 100
Answer: 250
Explanation: 20% of the number = 50, so the number = 50 x 100/20 = 250. Check: 20% of 250 = 50.
374. A student scored 462 out of 700. Find the percentage.
- A. 62%
- B. 66%
- C. 70%
- D. 60%
Answer: 66%
Explanation: Percentage = part/whole x 100 = 462/700 x 100 = 66%.
375. If the price of sugar falls by 20%, how much more sugar can be bought for the same money (in %)?
- A. 25%
- B. 20%
- C. 30%
- D. 15%
Answer: 25%
Explanation: A 20% fall makes the price 80 instead of 100, so the same money buys 100/80 = 1.25 times as much sugar, i.e. 25% more. Not 20%, because the base is now the lower price.
376. 45 is what percent of 180?
- A. 30%
- B. 20%
- C. 45%
- D. 25%
Answer: 25%
Explanation: Percentage = part/whole x 100 = 45/180 x 100 = 25%.
377. What is 25% of 640?
- A. 180
- B. 150
- C. 160
- D. 170
Answer: 160
Explanation: 25% of 640 = 25/100 x 640 = 160.
378. What is the monthly income of Mr. X? (R.B.I., 2009) I. Mr. X spends 85% of his income on various items and the remaining amount is saved. II. The monthly savings of Mr. X are ₹ 4500. III. Out of the total money spent by Mr. X in a month, one-fifth is spent on food and an amount of ₹ 20400 on other items.
- A. Only II
- B. Only III
- C. Only either II or III
- D. None of these
Answer: None of these
379. A 25 m long wire is cut into 3 pieces. How long is the longest piece? (S.B.I.P.O., 2005) I. Two pieces are each 1 m shorter that the longest piece. II. Two pieces of the wire are of the same length. III. The longest piece of the wire is 12.5% more than the smallest piece.
- A. I only
- B. Either I alone or II alone or II and III together
- C. Only II and III together
- D. II and either I or III
Answer: Either I alone or II alone or II and III together
380. What is Sumit's present salary? I. The salary increases every year by 12%. II. His salary at the time of joining was ₹ 3500. III. He had joined exactly 7 years ago.
- A. I and II only
- B. II and III only
- C. I and III only
- D. All I, II and III
Answer: All I, II and III
381. What was the total number of candidates appeared at the examination? I. 30% of appeared candidates succeeded in the examination. II. The number of unsuccessful candidates was 1000 more than the successful candidates. III. 1750 candidates were unsuccessful.
- A. Any two of the three
- B. Only I and II
- C. Only I and either II or III
- D. All I, II and III
Answer: Any two of the three
382. How much profit did the company earn in the year 2011? I. The company earned 40% more profit in the year 2012 than that in the year 2010. II. The company earned a total profit of ₹ 20 crores in the years 2010 and 2011 taken together. III. In the year 2012, the company earned 80 percent profit of that in 2011.
- A. I and II or III
- B. Any two of the three
- C. Either I and II or II and III
- D. All I, II and III
Answer: All I, II and III
383. How many children are there in the class? I. 20% children in the class can speak only Hindi. II. 44 children can speak languages other than Hindi. III. There are 30 boys in the class.
- A. I and II only
- B. II and either I or III
- C. All I, II and III
- D. Any two of the three
Answer: I and II only
Explanation: Let the total number of children in the class be x. I. Percentage of children speaking Hindi = 20%. II. (100 – 20)% of x = 44 ⇒ 80% of x = 44 ⇒ x = 44 100 55. 80 × = Thus, both I and II together give the answer. ∴ Correct answer is (a).
384. What is the overall percentage of marks obtained by Sangeeta in all five subjects? (S.B.I.P.O., 2005) I. Sangeeta scored 75% marks in Maths and Science together. II. Her aggregate marks in History and Science are 72%. III. She has scored 85% marks in Sanskrit.
- A. Any two of the three
- B. All I, II and III
- C. I and either II or III
- D. Question cannot be answered even with the information in all three statements
Answer: Question cannot be answered even with the information in all three statements
Explanation: Let maximum marks in each subject be 100. I. M + Sc = 75% of 200 ⇒ M + Sc = 150 ...(i) II. H + Sc = 72% of 200 ⇒ H + Sc = 144 ...(ii) III. S = 85% of 100 ⇒ S = 85...(iii) Adding (i), (ii) and (iii), we get: M + H + 2Sc + S = 379. Since marks in Science are not known, the total score of all the subjects cannot be calculated. Thus the question cannot be answered even with the information in all the three statements. ∴ Correct answer is (e).
385. A, B and C secured 45%, 50% and 60% marks respectively in Biology. D's marks in Biology are 10 more than A's marks and 20 less than C's marks. Find out the total marks of the four students. (M.A.T., 2006) I. Maximum marks for Biology are 200. II. Total of D's and A's marks is 190. III. C has obtained 120 marks.
- A. I and II
- B. III only
- C. Either I and II together or III alone
- D. Any one of the three
Answer: Any one of the three
386. What is Ritu's present salary? I. The salary increases every year by 15%. II. Her salary at the time of joining was ₹ 10000. III. She had joined exactly 5 years ago.
- A. I and II only
- B. II and III only
- C. I and III only
- D. All I, II and III
Answer: All I, II and III
387. Is (60% of a) + (40% of b) greater than 50% of (a + b)? I. a > bII. b > 0
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Explanation: We have (60% of a) + (40% of b) = 50% of (a + b), when a = b. (60% of a) + (40% of b) > 50% of (a + b), when a > b. (60% of a) + (40% of b) < 50% of (a + b), when a < b. So, I alone gives the answer while II alone does not. ∴ Correct answer is (a).
388. How many students are there in the class? I. There are 40 girls in the class. II. The boys are 80% of the total number of students in the class.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data in both Statements I and II together are necessary to answer the question.
Answer: If the data in both Statements I and II together are necessary to answer the question.
Explanation: Let the total number of students in the class be x. From II, we have: Percentage of girls = (100 – 80)% = 20%. So, from I and II, we have: 20% of x = 40 ⇒ x = 40 100 200. 20 × = Thus, both I and II together are needed to get the answer. ∴ Correct answer is (e).
389. What is Mr. Roy's annual income for the year April 2011 to March 2012? I. Annual income of Mr. Roy is 70% of his boss' annual income. II. Mr. Roy's income for April 2011 was ₹ 12000 and his income increased every month by 10%.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
Explanation: From II, we may calculate Mr. Roy's income for each month by calculating a 10% increase on previous month's income. The monthly incomes may then be added to get the annual income. So, II alone gives the answer while I alone is insufficient. ∴ Correct answer is (b).
390. What is the population of State A? (Bank P.O., 2005) I. Population of State B is 80% of the population of State A. II. Average population of States A and B is 18 lakhs.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data in both Statements I and II together are necessary to answer the question.
Answer: If the data in both Statements I and II together are necessary to answer the question.
391. What is the ratio of the total number of girls to the total number of boys in the school? (SIDBI, 2006) I. There are 680 students in the school out of which 45% are girls. II. 55% of the total number of students are boys.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
Explanation: From I, we have Number of girls = 45% of 680 = 306. Number of boys = (680 – 306) = 374. ∴ Required ratio = 306: 374 = 9: 11. From II, we have Required ratio = (100 – 55)% of x: 55% of x = 45: 55 = 9: 11. Thus, either I alone or II alone gives the answer. ∴ Correct answer is (c).
392. What is the ratio of two numbers x and y? (Bank P.O., 2010) I. 40% of x is 20% of 50. II. 30% of y is 25% of 72.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data in both Statements I and II together are necessary to answer the question.
Answer: If the data in both Statements I and II together are necessary to answer the question.
Explanation: From I, we have 40% of x = 20% of 50 = 10 or x = 10 100 25 40 × = ...(i) From II, we have 30% of y = 25% of 72 = 18 or y = 18 100 60. 30 × = ...(ii) From (i) and (ii), we have: x: y = 25: 60 = 5: 12. Thus, both I and II together are needed together the answer. ∴ Correct answer is (e).
393. What is the value of 20 percent of x? (M.B.A., 2002) I. One-fourth of 20 percent of x is 5. II. 4x = S, 5y = S and y = 80.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
Explanation: From I, we have 20% of x = 5 × 4 = 20. From II, we have: 4x = S = 5y = 5 × 80 = 400 or x = 100. So, 20% of x = 20. Thus, either I alone or II alone gives the answer. ∴ Correct answer is (c).
394. How many chocolates can Sheetal buy if she has to spend 20% of her budget on vegetables and 30% on groceries? I. Sheetal has ₹ 50 with her. II. Each chocolate costs 25 paise.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data in both Statements I and II together are necessary to answer the question.
Answer: If the data in both Statements I and II together are necessary to answer the question.
395. For a Lata Mangeshkar show, a total of 10000 tickets were sold in VIP area, sitting and standing categories. How many VIP area tickets were sold? I. The number of sitting category tickets was half the number of tickets sold in standing category. II. The total of sitting and standing category tickets were 150% greater than the number of tickets sold in the VIP area category.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
Explanation: From II, we have: Let the number of tickets in VIP area category be x. Then, total number of tickets in standing and sitting categories = (100 + 150)% of x = 250% of x = 5 . 2 x ∴ x + 5 2 x = 10000 ⇒ 7 10000 2 10000 . 27 x x × = ⇒= So, II alone gives the answer while I alone is insufficient. ∴ Correct answer is (b).
396. What was Altaf's income in 2010? I. His income for 2008, 2009 and 2010 was ₹ 3,00,000. II. He earned 20% more in 2009 than what he did in 2008.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data given in both Statements I and II together are not sufficient to answer the question.
397. What is the net effect on gross receipts? I. Prices are reduced by 25%. II. Sales increase by 20%.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data in both Statements I and II together are necessary to answer the question.
Answer: If the data in both Statements I and II together are necessary to answer the question.
398. Are at least 20% of the people in City X who are 30 years old or older bilingual? (M.A.T., 2006) I. In City X, 30% of the population is at least 30 years old. II. In City X, of the population 30 years old or older, 18 percent of the women and 17 percent of the men are bilingual.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
Explanation: From II, it is clear that less than 20 percent of the population of age 30 years or more is bilingual. So, II alone gives the answer while I alone does not. ∴ Correct answer is (b).
399. How much minimum marks will be required to pass an examination? (M.A.T., 2005) I. Student A secured 32% marks in that examination and he failed by 1 mark. Student B secured 36% marks in the same examination and his marks were 1 more than the minimum pass marks. II. Student A secured 30% of full marks in the ex-amination and he failed by 2 marks. If he had secured 5 more marks his percentage of marks would have been 40%.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data given in both Statements I and II together are not sufficient to answer the question.
Answer: If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
Explanation: Let the maximum marks be x. From I, we have: 32% of x + 1 = 36% of x – 1 ⇒ 4 100 x = 2 ⇒ x = 50. ∴ Pass marks = 32% of 50 + 1 = 17. From II, we have: 30% of x + 2 = 40% x – 3 ⇒ 10 100 x = 5 ⇒ x = 50. ∴ Pass marks = 30% of 50 + 2 = 17. So, I alone as well as II alone gives the answer. ∴ Correct answer is (c).
400. What are the pass marks in an examination? I. A student secures 30% marks but fails by 10 marks. II. The total marks is 200.
- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. If the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. If the data in both Statements I and II together are necessary to answer the question.
Answer: If the data in both Statements I and II together are necessary to answer the question.
Explanation: From both I and II, we have Pass marks = 30% of 200 + 10 = 60 + 10 = 70. So, both I and II together are needed to get the answer. ∴ Correct answer is (e).
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