Multiple Choice QuestionsA scored 72% in a paper with a maximum marks of 900 and 80% in another paper with maximum marks of 700. If the result is based on the combined percentage of two papers, the combined percentage is
75.5%
76%
76.5%
76.5%
An army lost 10% of its men in war, 10% of the remaining died due to disease and 10% of the rest were declared disabled. Thus the strength of the army was reduced to 7,29,000 active men. The original strength of the army was
1500000
1000000
1200000
1200000
A bus travels 150 Km in 3 hours and then travel next 2 hours at 60 Km/hr. Then the average speed of the bus will be
55 km/hr
54 km/hr
50 km/hr
50 km/hr
A man can cover a certain distance in 3 hours 36 minutes if he walks at the rate of 5 Km/hr. If he covers the same distance on cycle at the rate of 24 Km/hr, then the time taken by him in minutes is
40
45
50
50
Due to inclement weather, an air plane reduced its speed by 300 km/ hr, and reached the destination of 1200 km late by 2hrs. Then the schedule duration of the flight was.
1 hour
1.5 hour
2 hour
2 hour
Three runners A, B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. The length of the race is
36 metres
48 metres
60 metres
60 metres
The compound interest on Rs. 4000 for 4 years at 10% per annum will be
Rs. 1856. 40
Rs. 1600
Rs . 1856
Rs . 1856
A sum of Rs. 4000 is lent out in two parts, one at 8% simple interest and the other at 10% simple interest. If the annual interest is Rs. 352. The sum lent at 8% is
Rs. 2900
Rs. 2200
Rs. 2400
Rs. 2600
If the difference of the compound interest and the simple interest on a sum of money for 3 years is Rs. 186. Find the sum of money, if the rate of interest in both case be 10%.
Rs. 5500
Rs. 7200
Rs. 6500
Rs. 6500
A sum of money is invested at 20% compound interest (compounded annually). It would fetch Rs. 723 more if interest is compounded half-yearly. The sum is
Rs. 15,000
Rs. 30,000
Rs. 20,000
Rs. 20,000
B.
Rs. 30,000
Shortcut Method: Go with option and check it..
If we suppose or take second option i.e Rs 30,000 as principal, then check it.
If compound interest is annually for 2 years on Rs, 30000 then interest would be:
For first year 20% on 30,000 = Rs 6000
For second year 20% on (30,000 + 6000 = 36000) = 7200
Total interest = (6000 + 7200) = Rs 13200.
When compound interest is half-yearly, then rate would be half and time would be double the given.
So,
For first year 10% on 30,000 = 3000 ...(i)
For second year 10% on (30,000 + 3000 = 33000) = Rs 3300...(ii)
For third year 10% on (33,000 + 3300 = 36300) = Rs 3630 ...(iii)
For fourth year 10% on (36300 + 3630 = 39930) = Rs 3993 ...(iv)
Adding (i), (ii), (iii), (iv)
Interest would be Rs (3000 + 3300 + 3630 + 3993) = Rs 13,923
Difference of both the interest is Rs (13, 923 - 13200) = Rs 723
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