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[Intermediate Learning] Quant - Time & Speed and Simple & Compound Interest-2

Q1:

A train 260 m long passes a tunnel in 40 seconds moving with a speed of 108 km/h. Find the length of the tunnel.

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Q2:

Anuj and Amit started running on a circular trace of 400m with a speed of 5km/hr and 8 km/hr from the same point in same direction.. Find the time after which they will meet at starting point.

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Q3:

A sum of Rs X amounts to Rs Y in two years simple interest at 15% per annum. The same sum amounts to Rs Z in two years at the same rate of interest when compounded annually. Find the sum, when the difference between the two interest is Rs 72.

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Q4:

What will be the difference between the simple interest and compound interest earned on a sum of ₹ 985 @ 14% p.a at the end of 2 years? 

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Q5:

Dhanesh covers a certain distance in 1.4 hour by covering 23rd of the distance at 4 km/hr and rest at 5 km/hr. Find the total distance travelled Dhanesh.

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Quantitative Aptitude
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Q6:

A sum of money invested at 8% p.a. simple interest increases its value by 50% in t years. Find t?

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Quantitative Aptitude
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Q7:

A bus left Delhi at 1 p.m. sharp. Three hours later another bus started from Delhi in the same direction. The second bus overtook the first bus at 10 p.m. Find the average speed of the two buses over this journey if the sum of their speeds is 100 km/h.

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Q8:

Two trains of length 240 m and 280 m cross each other going in the same direction in 52 sec and in opposite direction in 10 sec. If the speed of 1st train is more than the speed of 2nd train then find sped of 1st train in km/hr?

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Quantitative Aptitude
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Q9:

If a sum of money is compounded quarterly at 5%, find the equivalent rate of interest per annum.

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Q10:

The Ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hr, then find the speed of the first train. 

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Q11:

In a team of four member (A,B,C and D)participating in a relay race the speed of four member are given as follows. A is twice as fast as B, B is thrice as fast as C .and C takes 34of time as taken by D to complete the 400m in a 1600 m relay race. If D takes 10 minutes to complete 400 m ,find the time taken by team to complete the relay race.

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Q12:

A train leaves Patna junction 3 hours late for New Delhi junction. It increases speed to 140% and reaches at the scheduled time. Find its usual time to reach New Delhi?

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Q13:

In a to-and-fro journey, the speeds of the bus is 20 kmph and 15 kmph respectively. If it takes 245 hours to complete the whole journey then which of the following will be the total distance traveled by bus?

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Q14:

Amit invested an amount for 5 years getting interest at 11% per annum simple interest. But, due to some financial crises, he withdrew his entire sum after 312 years. If the withdrawal was made after one year, he would have got Rs. 412.50, extra interest. What will be the sum invested by A?

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Q15:

A cruise was 100 km from the nearest shore when the captain discovered a leak which admits 5 tons of water in 10 minutes ,120 tons would suffice to sink the cruise. The captain came up with a temporary solution by fixing a pump which can throw 10 tons of water in an hour. Find the average sailing rate of the cruise that may just allow cruise to reach the nearest shore

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