301. A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
A. 150
B. 200
C. 250
D. 300
✅ The correct answer is option B. 200.
Mathematics
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302. In order to obtain an income of Rs. 650 from 10% stock at Rs. ,96, one must make an investment of___________?
A. Rs. 3100
B. Rs. 6240
C. Rs. 6500
D. Rs. 9600
✅ The correct answer is option B. Rs. 6240.
303. X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last ?
A. 6 days
B. 10 days
C. 15 days
D. 20 days
✅ The correct answer is option B. 10 days.
Work done by X in 4 days = ( 1/20X 4 ) = 1/5 Remaining work = (1 – 1/5 ) = 4/5 (X + Y)’s 1 day’s work = 1/20 + 1/12 = 8/60 = 2/15 Now, 2/15 work is done by X and Y in 1 day. So, 4/5 work will be done by X and Y in 15/2 X 4/5 = 6 days Hence, total time taken = (6 + 4) days = 10 days.
Work done by X in 4 days = ( 1/20X 4 ) = 1/5 Remaining work = (1 – 1/5 ) = 4/5 (X + Y)’s 1 day’s work = 1/20 + 1/12 = 8/60 = 2/15 Now, 2/15 work is done by X and Y in 1 day. So, 4/5 work will be done by X and Y in 15/2 X 4/5 = 6 days Hence, total time taken = (6 + 4) days = 10 days.
304. If y exceeds x by 20%, then x is less than y by_______?
A. 16%
B. 16 1/3 %
C. 16 2/3 %
D. 16 3/5 %
✅ The correct answer is option C. 16 2/3 %.
305. An umbrella marked at Rs. 80 is sold for Rs. 68. The rate of discount is:
A. 15%
B. 12%
C. 17 11/17%
D. 20 %
✅ The correct answer is option A. 15%.
306. A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
A. 1:2
B. 3:4
C. 2:5
D. 3:7
✅ The correct answer is option B. 3:4.
307. 8 children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work, in how many days will 12 men finish the same work ?
A. 6 days
B. 8 days
C. 10 days
D. 12 days
✅ The correct answer is option D. 12 days.
2 children = 1 man
2 children = 1 man
(8 children + 12 men ) = 16 men
Now, less men, more days
12 : 16 : 9 : x
x = 16×9/12=12 days
308. In a ship the provisions are sufficient for 800 men for 50 days. How long will these be sufficient for if there would have been 200 more men?
A. 40
B. 50
C. 30
D. 56
✅ The correct answer is option A. 40.
309. Surface area of two spheres are in the ratio 1:4 what is the ratio of their volumes?
A. 1:64
B. 1:8
C. 1:4
D. 8:1
✅ The correct answer is option B. 1:8.
310. A car is purchased on hire-purchase. The cash price is $21 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly installments. Interest is charged at 12% p.a. What is the monthly installment?
A. $503
B. $504
C. $505
D. $506
✅ The correct answer is option B. $504.
Cash price = $21 000
Cash price = $21 000