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Compound Interest

1 / 15

Find the compound interest on Rs. 10,000 in 2 years at 4% per annum, the interest being compounded half-yearly.

2 / 15

A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs.482 more, if the interest was payable half yearly than if it was payable annually . The sum is

3 / 15

Find compound interest on Rs. 8000 at 15% per annum for 2 years 4 months, compounded annually

4 / 15

The compound interest on rs.30000 at 7% per annum is Rs.4347. The period is

5 / 15

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is:

6 / 15

The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?

7 / 15

The difference between simple interest and compound on Rs. 1200 for one year at 10% per annum reckoned half-yearly is:

8 / 15

At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years?

9 / 15

What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12 p.c.p.a.?

10 / 15

The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:

11 / 15

What is the difference between the compound interests on Rs. 5000 for 1 years at 4% per annum compounded yearly and half-yearly?

12 / 15

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:

13 / 15

A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:

14 / 15

There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?

15 / 15

A sum of money amounts to Rs.6690 after 3 years and to Rs.10,035 after 6 years on compound interest.find the sum.

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TIME AND DISTANCE

1 / 15

A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

2 / 15

An airplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hour, it must travel at a speed of:

3 / 15

If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:

4 / 15

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

5 / 15

Excluding stoppages, the speed of a bus is 54 kmph, and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

6 / 15

In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

7 / 15

A man completes a journey in 10 hours. He travels the first half of the journey at the rate of 21 km/hr and the second half at the rate of 24 km/hr. Find the total journey in km.

8 / 15

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

9 / 15

A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:

10 / 15

A car travelling with  of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.

11 / 15

In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:

12 / 15

Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?

13 / 15

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:

14 / 15

A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:

15 / 15

A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:

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Volume and Surface Area

1 / 20

Water flows into a tank 200 m x 160 m through a rectangular pipe of 1.5m x 1.25 m @ 20 kmph. At what time (in minutes) will the water rise by 2 meters?

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How many iron rods, each of length 7 mts and diameter 2 cms can be made out of 0.88 cubic metre of iron ?

3 / 20

A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.

4 / 20

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 cu.m , then the rise in the water level in the tank will be:

5 / 20

If each edge of a cube is increased by 50%, find the percentage increase in Its surface area

6 / 20

A triangle has an area of 34 sq cm and an inradius of 4 cm. Find the perimeter of the triangle.

7 / 20

Find the height of a parallelogram if its base and area are  30cm and 540 sq cm, respectively.

8 / 20

Which of the following statements is true if the areas of a circle, a square, and an equilateral triangle are C, S, and T, respectively, and their perimeters are the same?

9 / 20

If a cone’s height and base radius are both increased by 100%, the cone’s volume will change by what percentage?

10 / 20

A solid spherical ball can displace 5 cubic meters of water. What will the increase in water level be if 40 such balls are submerged in a tank at once?  Dimensions of the tank are 40 m X 20 m X 10 m.

11 / 20

A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:

12 / 20

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

13 / 20

A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:

14 / 20

A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

15 / 20

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be:

16 / 20

A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:

17 / 20

A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:

18 / 20

66 cubic centimeters of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:

19 / 20

A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

20 / 20

In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

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Problems on H.C.F and L.C.M

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'Dandia' is a popular dance of

2 / 23

'Natya - Shastra' the main source of India's classical dances was written by

3 / 23

Rabindranath Tagore's 'Jana Gana Mana' has been adopted as India's National Anthem. How many stanzas of the said song were adopted?

4 / 23

Find the highest common factor of 36 and 84.

5 / 23

Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:

6 / 23

The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:

7 / 23

252 can be expressed as a product of primes as:

8 / 23

The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:

9 / 23

The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:

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The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:

11 / 23

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?

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The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

13 / 23

The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:

14 / 23

The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:

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The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:

16 / 23

The G.C.D. of 1.08, 0.36 and 0.9 is:

17 / 23

Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:

18 / 23

The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:

19 / 23

The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

20 / 23

Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

21 / 23

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

22 / 23

The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

23 / 23

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

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Boats and Streams

1 / 20

A 500 m long train takes 36 seconds to cross a man walking in the opposite direction at the speed of 10 km/hr. Find the speed of the train.

2 / 20

Two trains 140 m and 160 m long are moving in the same direction on parallel tracks with speeds of 40 km/hr and 50 km/hr respectively. How much time would the faster train require to overtake the slower train?

3 / 20

Two trains 140 m and 160 m long are moving towards each other on parallel tracks with speeds of 40 km/hr and 50 km/hr respectively. How much time would they take to pass each other completely?

4 / 20

A man standing near a railway track observes that a train passes him in 80 seconds but to pass by a 180 m long bridge, the same train takes 200 seconds. Find the speed of the train.

5 / 20

A 100 m long train moving at a speed of 60 km/hr passes a man standing on the pavement near a railway track. Find the time taken by the train to pass the man.

6 / 20

A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:

7 / 20

A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:

8 / 20

The speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:

9 / 20

A man can row three-quarters of a kilometre against the stream in 11 minutes and down the stream in 7 minutes. The speed (in km/hr) of the man in still water is:

10 / 20

A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?

11 / 20

A boat covers a certain distance downstream in 1 hour, while it comes back in 1 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?

12 / 20

A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?

13 / 20

A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is:

14 / 20

The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is:

15 / 20

A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?

16 / 20

In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

17 / 20

A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:

18 / 20

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

19 / 20

A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:

20 / 20

A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.

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Height and Distance

1 / 20

The stature of a tree is 10m. It is twisted by the wind in a manner that its top touches the ground and makes a point of 60 with the ground. At what range from base did the tree get twisted? (√3=1.73)

2 / 20

A kite is flying at a tallness of 75 m from the level of ground, joined to a string slanted at 60° to the level. The string's length is:

3 / 20

At a moment, the shadow's length of a shaft is √3 times the stature of the shaft. The edge of rise of the sun is:

4 / 20

Two men are inverse sides of a tower. They gauge the edge of the rise of the highest point of the tower as 30° and 45° respectively. On the off chance that the tallness of the tower is 50 m, discover the separation between the two men. (Take √3=1.732)

5 / 20

The shadow of a building is 10 m long when the point of rise of the sun is 60°. Discover the building's stature.

6 / 20

A straight tree is broken due to thunder storm. The broken part is bent in such a way that the peak touches the ground at an angle elevation of 45°. The distance of peak of tree (where it touches the root of the tree is 20 m. Then the height of the tree is

7 / 20

An aeroplane when 750 m high passes vertically above another aeroplane at an instant when their angles of elevation at same observing point are 45° and 30&de; respectively. Approximately, how many meters higher is the one than the other?

8 / 20

A man on the top of a vertical observation tower observes a car moving at a uniform speed coming directly towards it. If it takes 10 minutes for the angle of depression to change from 45° to 60°, how soon after this will the car reach the observation tower?

9 / 20

The horizontal distance between two towers is 90 m. The angular depression of the top of the first as seen from the top of the second which is 180 m high is 450.Then the height of the first is

10 / 20

A man is watching form the top of the tower a boat speeding away from the tower. The boat makes the angle of depression of 60° with the man's eye when at a distance of 75 meters from the tower. After 10 seconds the angle of depression becomes 45°. What is the approximate speed of the boat, assuming that it is running in still water?

11 / 20

An observer 1.4 m tall is 10√3 away from a tower. The angle of elevation from his eye to the top of the tower is 60°. The heights of the tower is

12 / 20

From a point P on a level ground, the angle of elevation of the top tower is 60°. If the tower is 180 m high, the distance of point P from the foot of the tower is

13 / 20

The heights of two towers are 90 meters and 45 meters. The line joining their tops make an angle 450 with the horizontal then the distance between the two towers is

14 / 20

The angles of elevation of the tops of two vertical towers as seen from the middle point of the lines joining the foot of the towers are 45° & 60°.The ratio of the height of the towers is

15 / 20

On the level ground, the angle of elevation of the top of a tower is 30°.on moving 20 meters nearer, the angle of elevation is 45°.Then the height of the tower is

16 / 20

The angle of elevation of a tower at a point 90 m from it is cot-1(4/5).Then the height of the tower is

17 / 20

From a point 375 meters away from the foot of a tower, the top of the tower is observed at an angle of elevation of 45°, then the height (in meters) of the tower is?

18 / 20

From a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is:

19 / 20

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

20 / 20

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:

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Square Root and Cube Root

1 / 20

Find the value of a and b such that ab = 512 where a > b and 1 < b < 4. Also, find the value of a1/b.

2 / 20

There is a certain number of rows of chairs in a room. The number of chairs in each row is thrice the total number of rows. Find the number of chairs in each row and the number of rows in the room if the total number of chairs is 2187.

3 / 20

Find the cube root of 42875 by shortcut method.

4 / 20

Find the smallest number that must be subtracted from 130 to make it a perfect cube number. Also, find the cube root of the number.

5 / 20

Check whether 1512 is a perfect cube or not. Also, find the smallest number which must be multiplied by it to make the given number a perfect cube number and find the cube root as well.

6 / 20

Find the cube root of 21952 by the prime factorisation method.

7 / 20

Find the square root of 1444 by the prime factorisation method.

8 / 20

The square root of 64009 is:

9 / 20

How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 8 ?

10 / 20

The least perfect square, which is divisible by each of 21, 36 and 66 is:

11 / 20

The cube root of .000216 is:

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profit and loss

1 / 20

A trader has 600kgs of rice , a part of which he sells at 15% profit and the remaining quantity at 20% loss. On the whole , he incurs an overall loss of 6% .What is the quantity of rice he sold at 20% loss?

A

Rs 360

B

Rs 960

C

Rs 560

D

Rs 460

2 / 20

A dishonest shopkeeper professes to sell pulses at the 20% profit , also he uses a false weight of 800gm for a kg, His actual gain is____%.

A

25%

B

15%

C

20%

D

50%

3 / 20

On selling 15 balls at Rs 400 there is loss equal to Cost Price of 5 balls. The cost price of a ball is?

A

Rs 30

B

Rs 35

C

Rs 40

D

Rs 45

4 / 20

If selling price is doubled then, the profit triples. What is profit per cent?

A

20%

B

75%

C

100%

D

50%

5 / 20

A and B, there are two companies, selling the packs of cold-drinks. For the same selling price A gives two successive discounts of 10% and 25%. While B sells it by giving two successive discounts of 15% and 20%. What is the ratio of their marked price?
A. 143 : 144
B. 19 : 11
C. 136 : 135
D. 73 : 77

6 / 20

A person sold a pen at Rs. 96 in such a way that his percentage profit is same as the cost price of the watch. If he sells it at twice the percentage profit of its previous percentage profit then new selling price will be?
A. Rs. 132
B. Rs. 150
C. Rs. 180
D. Rs. 192

7 / 20

An article is sold at 25% profit. If the CP and the SP of the article are increased by Rs 60 and Rs 30 respectively, the profit% decreases by 15%. Find the cost price of the article.
A. Rs. 240
B. Rs. 270
C. Rs. 285
D. Rs. 305

8 / 20

A shopkeeper bought 150 pen drives at the rate of Rs. 500 per pen drive. He spent Rs. 500 on transportation and packing. If the marked price of pen drive is Rs. 520 per pen drive and the shopkeeper gives a discount of 5% on the marked price then what will be the percentage profit gained by the shopkeeper?
A. 1.2%
B. 3.8%
C. 4.5%
D. 5.5%

9 / 20

If an article is sold at a loss of 66 2/3%, what is the loss in terms of the selling price?
A. 50%
B. 100%
C. 150%
D. 200%

10 / 20

Bhajan Singh purchased 120 reams of paper at Rs. 80 per ream. He spent Rs. 280 on transportation. Paid octrai at the rate of 40 paise per ream and paid Rs. 72 to the coolie. If he wants to have a gain of 8 %. What must be the selling price per ream?
A. Rs. 86
B. Rs. 88
C. Rs. 90
D. Rs. 92

11 / 20

If two mixers and one T.V cost Rs. 7000. While two T.V s and one mixer cost Rs. 9800. The value of one T.V is:
A. Rs. 3,200
B. Rs. 3,600
C. Rs. 4,200
D. Rs. 4,600

12 / 20

Profit after selling a commodity for Rs. 425 is same as loss after selling it for Rs.355. The cost of the commodity is:
A. Rs. 385
B. Rs. 390
C. Rs. 395
D. Rs. 400

13 / 20

A man sold two houses for Rs. 7.8 lakhs each. On the one, he gained 5% and on the other, he lost 5%. What percent is the effect of the sale on the whole?
A. 0.25 % loss
B. 0.25 % gain
C. 25 % loss
D. 25 % gain

14 / 20

Amit bought 160 shirts at the rate of Rs. 225/shirt. The transport expenditure was Rs. 1,400. He paid an octroi at the rate of Rs. 1.75/shirt and labour charges were Rs. 320. What should be the selling price of 1 shirt, if he wants a profit of 20%?
A. Rs. 260
B. Rs. 275
C. Rs. 280
D. Rs. 285

15 / 20

By selling an article at Rs. 800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
A. Rs. 460
B. Rs. 500
C. Rs. 480
D. Rs. 520

16 / 20

A, B and C enter into a partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs. 18,000. A's share is?
A. Rs. 5,750
B. Rs. 6,000
C. Rs. 7,200
D. Rs. 7,500

17 / 20

A trader sells 85 m of cloth for Rs. 8,925 at the profit of Rs. 15/m of cloth. What is the cost price of 1 m of cloth?
A. Rs. 84
B. Rs. 90
C. Rs. 96
D. Rs. 102

18 / 20

A person buys a horse for 15 pounds. After one year, he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the overall profit percent for that person over both the transactions?
A. 30.33%
B. 33.33%
C. 35.33%
D. 40.33%

19 / 20

David sold a bicycle at Rs 2100 and made a loss of 25%. At what price should he sell the bicycle if he wants to make a profit of 15%?

A

Rs 2500

B

Rs 2990

C

Rs 3220

D

Rs 3500