Aptitude Online Test 10

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Question : 1/25 30 : 00

252 can be expressed as a product of primes as :

A. 2 x 2 x 3 x 3 x 7

B. 2 x 2 x 2 x 3 x 7

C. 3 x 3 x 3 x 3 x 7

D. 2 x 3 x 3 x 3 x 7

If 6^th March, 2005 is Monday, what was the day of the week on 6^th March, 2004?

A. Sunday

B. Saturday

C. Tuesday

D. Wednesday

In a throw of a coin, find the probability of getting a head.

A. 12

B. 1

C. 2

D. None of these

If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:

A. 55601

B. 60155

C. 11120

D. 12011

Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

A. 2 years

B. 4 years

C. 6 years

D. 8 years

At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?

A. 45 min. past 4

B. 40 min. past 4

C. 50411 min. past 4

D. 54611 min. past 4

If 5^a = 3125, then the value of 5^{(a − 3)} is :

A. 25

B. 125

C. 625

D. 1625

3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day ?

A. 9

B. 10

C. 11

D. 12

If x = √3 + 1√3 − 1 and y = √3 − 1√3 + 1, then the value of (x² + y²) is:

A. 10

B. 13

C. 14

D. 15

A thief is spotted by a policeman from a distance of 100 metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8 kmph and that of the policeman 10 kmph, how far the thief will run before he is overtaken?

A. 350 m

B. 400 m

C. 450 m

D. 500 m

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

A. 12 days

B. 15 days

C. 16 days

D. 18 days

A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2 hours 30 minutes to cover a distance of 5 km upstream. Find the speed of the river current in kmph.

A. 1 kmph

B. 2 kmph

C. 4 kmph

D. 5 kmph

In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies?

A. 180

B. 300

C. 240

D. 200

Bangalore and Ooty are two stations 390 km apart. A train starts from Bangalore at 10 a.m. and travels towards Ooty at 65 kmph. Another train starts from Ooty at 11 a.m. and travels towards Bangalore at 35 kmph. At what time do they meet?

A. 2.30 p.m.

B. 2.45 p.m.

C. 2.15 p.m.

D. 2.25 p.m.

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

A. 75 cu. m

B. 750 cu. m

C. 7500 cu. m

D. 75000 cu. m

There are two sections A and B of a class consisting of 36 and 44 students respectively. If the average weight of section A is 40 kg and that of section B is 35 kg, find the average weight of the whole class?

A. 36.25 kg.

B. 36.75 kg.

C. 37.25 kg.

D. 40.25 kg.

A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be:

A. 10 m

B. 12.5 m

C. 17.5 m

D. 21.25 m

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

A. 6%

B. 6.5%

C. 7%

D. 7.5%

A, B and C start a business. A invests 3 times as much money as B invests and B invests two-third of what C invests. Then the ratio of capitals of A, B, C is :

A. 3 : 9 : 2

B. 6 : 10 : 15

C. 5 : 3 : 2

D. 6 : 2 : 3

In a hospital, there is a consumption of 1350 litres of milk for 70 patients for 30 days. How many patients will consume 1710 litres of milk in 28 days ?

A. 59

B. 85

C. 95

D. 105

In an examination, 65% of the total examinees passed. If the number of failures is 420, the total number of examinees is

A. 567

B. 693

C. 1000

D. 1200

A retailer marks all its goods at 50% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the market price. What is the actual profit on the sales?

A. 6.5%

B. 12.5%

C. 22.5%

D. 25%

A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges ?

A. 20%

B. 24%

C. 30%

D. 33%

A train 125 m long passes a man, running at 5 kmph in the same direction in which the train is going, in 10 seconds. The speed of the train is:

A. 45 kmph

B. 50 kmph

C. 54 kmph

D. 55 kmph

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

A. 2 : 3 : 4

B. 6 : 7 : 8

C. 6 : 8 : 9

D. None of these

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Aptitude Online Test 10

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