A. 18 days
B. 22 ½ days
C. 24 days
D. 26 days
✅ The correct answer is option B. 22 ½ days.
If A completes a work in 1 day, B completes the same work in 3 days
If A completes a work in 1 day, B completes the same work in 3 days
274. Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is :________?
A. 27
B. 33
C. 49
D. 55
✅ The correct answer is option C. 49.
271. A garrison has sufficient food for 500 people to survive for 6 days. At the end of 2 days 100 men desert. How long the provisions are sufficient for now?
A. 5
B. 6
C. 4
D. 10
✅ The correct answer is option A. 5.
If 3 men or 4 women can construct a wall in 43 days, then the number of days that 7 men and 5 women take to construct it is :
A. 12 days
B. 14 days
C. 16 days
D. 18 days
✅ The correct answer is option C. 16 days.
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.
300. A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
A. Rs.1000
B. Rs.1140
C. Rs.860
D. Rs.760
✅ The correct answer is option A. Rs.1000.
297. A trader lists his articles 20% above C.P and allows a discount of 10% on cash payment. His gain percent is:
A. 10%
B. 8%
C. 5%
D. 6%
✅ The correct answer is option B. 8%.
294. Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
A. 225 cm2
B. 275 cm2
C. 285 cm2
D. 315 cm2
✅ The correct answer is option C. 285 cm2.
Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them) = 1/2 (20 + 18) * (15) = 285 cm2
Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them) = 1/2 (20 + 18) * (15) = 285 cm2
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is__________________?
A. 20
B. 21
C. 22
D. 23
✅ The correct answer is option B. 21.
289. The price of a certain item is increased by 15 %. If a consumer wants to keep his expenditure on the item same as before how much percent must he reduce his consumption of that item?
A. 10 20/23 %
B. 13 1/23 %
C. 16 2/3 %
D. 15 %
✅ The correct answer is option B. 13 1/23 %.