Read each question, consider the options, then reveal the correct answer and explanation.
100 MCQs10 per page7 of 10
MCQ 61Word Problems Based On Numbers
Sweets were to be equally distributed among 300 children. When 50 children were absent, each present child received one extra sweet. How many sweets were distributed?
1500
1450
1700
1650
Correct answerA — 1500
Explanation
Suppose each child would originally receive x sweets, so the total is 300x. With only 250 children present, each receives x + 1 sweets, so the same total is 250(x + 1). Thus 300x = 250x + 250, giving x = 5. Total sweets = 300 × 5 = 1500.
MCQ 62Problems Based On Trains
A 170 m long train crosses a platform in 43 seconds, but the platform's length is not given. Can the train's speed be determined uniquely?
233 km/h
Cannot be determined
243 km/h
265 km/h
Correct answerB — Cannot be determined
Explanation
For crossing a platform, distance= train length+platform length. Since the platform length is unknown, the total crossing distance is unknown. Knowing only the train length and crossing time is insufficient to determine a unique speed.
MCQ 63Discount
A 10% commission on written price allows a seller to earn 20% profit. What profit percentage results if commission is increased to 20%?
5%
8%
5 1/3%
6 2/3%
Correct answerD — 6 2/3%
Explanation
Let written price be 100. With 10% commission, selling price is 90, which equals 120% of cost price; hence cost price is 75. With 20% commission, selling price is 80, giving profit 5 on cost 75. Profit percentage is 5/75×100 = 6 2/3%.
MCQ 64Simple And Decimal Fractions
Express the mixed recurring decimal 0.2341341341... (that is, 0.2 followed by repeating 341) as p/q in lowest terms.
781/3330
1171/4995
2339/9990
2341/9990
Correct answerC — 2339/9990
Explanation
There is one non-repeating digit (2) and a three-digit repeating block (341). Using the mixed-recurring rule gives (2341-2)/9990 = 2339/9990. The denominator has three 9s for the repeating digits and one 0 for the non-repeating digit.
MCQ 65Word Problems Based On Numbers
A 3-hour examination has 200 questions: 50 Mathematics, 100 General Knowledge, and 50 Science. Ram spends twice as much time on each Mathematics question as on each other question. How many minutes does he spend on Mathematics?
36
72
100
60
Correct answerB — 72
Explanation
Let the time spent on each non-Mathematics question be x minutes. Then each Mathematics question takes 2x minutes. Total time is 50(2x) + 150x = 250x = 180 minutes, so x = 0.72 minute. Mathematics time is 50 × 2x = 100x = 72 minutes.
MCQ 66Word Problems Based On Numbers
X, Y, and Z dine together. Z's meal costs 20% more than Y's, and X's meal costs 5/6 as much as Z's. If Y's meal costs ₹100, what is the total cost of all three meals?
₹320
₹285
₹300
₹355
Correct answerA — ₹320
Explanation
Y's meal costs ₹100. Z costs 20% more, so Z = ₹120. X costs 5/6 of Z, so X = (5/6) × 120 = ₹100. The total is 100 + 120 + 100 = ₹320. The source used a 'none of these' option because ₹320 was absent from its listed numerical choices.
MCQ 67Work And Time
Three women and eighteen children together complete a work in 2 days. Six women alone complete it in 3 days. How many days will nine children alone take?
9 days
7 days
6 days
5 days
Correct answerC — 6 days
Explanation
Six women finish in 3 days, so one woman's rate is 1/18. Three women contribute 1/6 per day. The mixed team rate is 1/2, leaving 1/3 for 18 children; hence one child's rate is 1/54. Nine children work at 1/6 per day and take 6 days.
MCQ 68Problem Based On Ages
Reena and Usha are presently 24 and 36 years old, respectively. What was the ratio of Usha's age to Reena's age 8 years ago?
7:4
4:7
11:8
8:11
Correct answerA — 7:4
Explanation
Eight years ago, Usha was 36−8=28 years old and Reena was 24−8=16 years old. Their age ratio was therefore 28:16, which simplifies to 7:4. In age-ratio problems, the same time interval must be added to or subtracted from both ages.
MCQ 69Partnership
Two partners invest ₹125000 and ₹85000. Sixty percent of profit is divided equally, while the remaining 40% is divided according to capital. If one partner receives ₹600 more than the other, find total profit.
₹7875
₹8800
₹8885
₹8995
Correct answerA — ₹7875
Explanation
The equally divided 60% creates no difference. The difference comes from 40% allocated in the ratio 125000:85000 = 25:17. The difference is 40%×(8/42) of total profit = 8/105 of total profit. Thus total profit = 600×105/8 = ₹7875.
MCQ 70True Discount And Banker's Discount
Aarti must pay ₹440 after one year. Instead, she pays ₹220 now and agrees to pay another ₹220 after two years. At 10% simple interest per annum, what is her gain or loss compared with the original obligation?
Aarti loses ₹3.33 approximately
Aarti gains ₹3.33 approximately
Aarti gains ₹8
Aarti loses ₹9
Correct answerA — Aarti loses ₹3.33 approximately
Explanation
The present worth of the original ₹440 debt is 440/1.10 = ₹400. Under the new arrangement, present worth is ₹220 + 220/1.20 = ₹403.33. She therefore pays ₹3.33 more in present-value terms and incurs a loss of approximately ₹3.33.
