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Quantitative Ability

Description: Quantitative Ability Test - This tests consists various types of questions related to Problem solving and Quant comparison.And definitely it will help students in preparation of Bank PO, Bank Clerical and MBA Entrance
Number of Questions: 25
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Tags: QUANTITATIVE GRE MBA Bank PO B.Ed M.Ed GMAT MCA Entrance Class XI XII CAT MAT. SNAP Reasoning Quantitative Ability Direct and Indirect Variation Ratio/Proportion and Variation Time, Work and Wages Time and Work Time and Distance Simple and Compound Interest Applications of Percentages
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If 15 toys cost 234, what do 35 toys cost ?

  1. 546

  2. 547

  3. 548

  4. 550


Correct Option: A
Explanation:

Let the required cost be Rs x , then More toys, More cost                      15 : 35 : : 234 : x, x = 546 cost of 35 toys is 546

If the price of 6 toys is Rs. 264.37, what will be the approximate price of 5 toys?

  1. Rs. 140

  2. Rs. 100

  3. Rs. 200

  4. Rs. 220


Correct Option: D
Explanation:

Let the required price be x . Then, less toys, less cost 6 : 5 : : 264.37 : x غ 6x = ( 5 × 264.37), x = 220.308 Approximate price of 5 toys = 220

If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost ?

  1. 48 paise

  2. 54 paise

  3. 56 paise

  4. 72 paise


Correct Option: A
Explanation:

Let the required cost be x paise . Less weight, less cost 250 : 200 : : 60 : x, x = 48 

Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long should it take both A & B, working together but independently, to do the same job?

  1. 40/9

  2. 41/9

  3. 42/9

  4. 43/9


Correct Option: A
Explanation:

A' s one hour work = 1/8 , B' s one hour work = 1/10 ( A + B )' s one hour work = ( 1/8 + 1/10 ) = 9/40 Both A & B will finish the work in  40/9 days 

If the wages of 6 men for 15 days be 2100, then find the wages of 9 men for 12 days.

  1. 2520

  2. 2050

  3. 2850

  4. 2056


Correct Option: A
Explanation:

Let the required wages be Rs x More men, More Wages                        Less days, less wages                Men    6 : 9 : : 2100  Days 15 : 12      ( 6 × 15 × x )  = ( 9 × 12 × 2100 ) x = 2520

A, B & C can complete a piece of work in 24, 6 & 12 days respectively, working together they will complete the same work in

  1. 1 / 24 days

  2. 7 / 24 days

  3. 24 / 7 days

  4. 4 days


Correct Option: C
Explanation:

( A + B +  C )' s 1 day' s work = ( 1/24 + 1/6 + 1/12 ) = 7 / 24 So A, B, C  together will complete the job in 24/7 days  

A man can do a piece of work in 5 days, but with the help of his son, he can do it in 3 days. In what time can the son do the same piece of work alone?

  1. 13/2 days

  2. 7 days

  3. 15/2 days

  4. 8 days


Correct Option: C
Explanation:

Son's 1 days work ( 1/3 - 1/5 ) = 2/15 The son alone can do the work in  15/2 days.

A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in

  1. 4 days

  2. 6 days

  3. 8 days

  4. 12 days


Correct Option: B
Explanation:

Supposes A, B ,C take x , x/2 , x/3 hours respectively to finish the work . ( 1/x + 2/x + 3/x ) = ½ , 6/x = ½ , x = 12 , So B takes 6 days to finish the work

A is twice as good a workman as B & together they finish a piece of work in 18 days. In how many days will A alone finish the work?

  1. 27 days

  2. 28 days

  3. 29 days

  4. 30 days


Correct Option: A
Explanation:

( A' s 1 day work ) : ( B'' s 1 day' s work ) = 2 : 1 ( A + B ) ' s 1 day' s work = 1/18 Divide 1/18 in the ratio 2 : 1 A' s 1 day work = ( 1 /18 ´ 2/3 ) = 1 / 27 Hence A alone can finish the work in 27 days.

On a scale of map, 0.6 cm represents 6.6 km. If the distance between the points on the map is 80.5 cm, the actual distance between these points is

  1. 9 km

  2. 72.5 km

  3. 190.75 km

  4. 885.5 km


Correct Option: D
Explanation:

Let the actual distance be x km . More distance on the map, more is the actual distance 0.6 : 80.5 : : 6.6 : x غ 0.6 x = 80.5 × 6.6 , x = 885.5

A cistern has two taps which fill it in 12 minutes & 15 minutes respectively. There is also a waste pipe in the cistern. When all the three are opened, the empty cistern is full in 20 min. How long will the waste pipe take to empty the full cistern ?

  1. 10 min

  2. 11 min

  3. 12 min

  4. 13 min


Correct Option: A
Explanation:

Work done by the waste pipe in one minute = 1/20 - ( 1/12 +1/15 ) = - 1/10 Waste pipe will empty the full cistern in 10 minutes.

Two pipes A & B can fill a tank in 24 min. & 32 min. respectively . If both the pipe are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min?

  1. 8 minutes

  2. 2 minutes

  3. 9 minutes

  4. 3 minutes


Correct Option: A
Explanation:

Let B be closed after x minutes . Then Part filled by ( A + B ) in x minute + part filled by A in ( 18 - x ) minute = 1 x( 1/24 + 1/32)  + ( 18 - x ) ´ 1/24 = 1 7x/96 + ( 18 - x ) /24 = 1 7x + 4( 18 - x ) = 96 x = 8

A speed of 14 m/sec is equal to

  1. 28 kmph

  2. 46.6 kmph

  3. 50.4 kmph

  4. 70 kmph


Correct Option: C
Explanation:

14 m/sec = ( 14 ´ 18/5 ) kmph = 50.4 kmph

One pipe can fill a tank three time faster than another pipe does. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in

  1. 81 min

  2. 108 min

  3. 144 min

  4. 192 min


Correct Option: C
Explanation:

Let the slower pipe alone fill the tank in x min. Then, faster pipe will fill it in x /3 min. 1/x + 3/x = 1/36 , 4/x = 1/36 , x = 144 min.

A train 100 m long is running at the speed of 30 km /hr. Find the time taken by it to pass a man standing near the railway line.

  1. 12 sec

  2. 11 sec

  3. 13 sec

  4. 14 sec


Correct Option: A
Explanation:

Speed of the train = ( 30 ´ 5/18 ) m/sec = 25 /3 m/sec Distance moved in passing the standing man = 100 m Required time taken = 100 / ( 25/3) = 12 sec

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank?

  1. 3 hrs 15 minute

  2. 3 hrs 45 minute

  3. 4 hrs

  4. 4 hrs 15 min


Correct Option: B
Explanation:

Time taken by one tap to fill half the tank = 3 hrs Part filled by four tapes in 1 hour = ( 4 ´ 1/6 ) = 2/3 Remaining Part = ( 1 - ½ ) = ½ 2/3 : ½ : : 1 : x , x = 3 hrs 45 min

12 buckets of water fill a tank where capacity of each tank is 13.5 liter. How many buckets will be needed to fill the same tank, if capacity of each bucket is 9 liter?

  1. 8

  2. 15

  3. 16

  4. 18


Correct Option: D
Explanation:

Capacity of the tank = ( 12 ´ 13.5 ) litres = 162 litres Capacity of each bucket = 9 litres Number of buckets needed = ( 162 / 9 ) = 18

'A man sitting in a train' 100m long which is traveling at 50 kmph observe that a goods train, traveling in opposite direction, takes 9 sec to pass him. If the goods train is 180 m long, find the speed of the goods train.

  1. 62 kmph

  2. 63 kmph

  3. 64 kmph

  4. 65 kmph


Correct Option: A
Explanation:

Relative speed = ( 280/ 9 ) m/sec = ( 280 /9 ´ 18/5 ) kmph = 112 kmph Speed of the goods train = ( 112 - 50 ) = 62 kmph

A train 110 m long passes a man, running at 6 kmph in the direction opposite to that of the train, in 6 seconds. The speed of the train is

  1. 54 kmph

  2. 60 kmph

  3. 66 kmph

  4. 72 kmph


Correct Option: B
Explanation:

Sped of the train relative to man = ( 110/6) m/sec = ( 110/6 ´ 18/5 ) kmph = 66 kmph Let the speed of the train be x kmph . Then relative speed = ( x + 6) kmph
x + 6 = 66, x = 60 kmph

A train crosses a platform 100 m long in 60 sec at a speed of 45 km/hr. The time taken by the train to cross an electric pole is

  1. 8 sec

  2. 52 sec

  3. 1 min

  4. Data Inadequate


Correct Option: B
Explanation:

Speed = (45 ´ 5/18) m/sec = (25/2) m/sec Let the length of the train be x meters Then , (x + 100 )/(25/2) = 60, x = 650 m Time taken by the train to cross an electric pole = (650 ´ 2/25) = 52 sec

Find the simple interest on Rs. 3000 at 25/4 % per annum for the period from 4th feb. 2005 to 18th April 2005.

  1. Rs. 37.50

  2. Rs. 38.50

  3. Rs. 39.50

  4. Rs. 31.50


Correct Option: A
Explanation:

Time = ( 24 + 31 + 18 ) days = 73 days = 73/365 year = 1/5 year P = 3000, R = 25/4 % p.a S.I = ( 3000 ´ 25/4 ´ 1/5 ´ 1/100 ) = 37.50

The simple interest on a sum of money is 4/9 of the principal. Find the rate percent & time, if both are numerically equal

  1. R = 20/3%, T = 20/3 years

  2. R = 10/3%, T = 20/3 years

  3. R = 20/5%, T = 20/3 years

  4. R = 40/3%, T = 20/3 years


Correct Option: A
Explanation:

Let sum = Rs x . Then, simple interest = 4x / 9 Let rate = R% & time = R years
Then, (x ´ R ´ R ) / 100 = 4x / 9, R2 = 400/9, R = 20/3 Rate = 20/3% & time = 20/3 years

A man took a loan from a bank at the rate of 12 % per annum simple interest. After three years he had to pay Rs. 5400 interest only for the period. The Principal Amount borrowed by him was

  1. Rs 2000

  2. Rs 10000

  3. Rs 15000

  4. Rs 20000


Correct Option: C
Explanation:

Principal = Rs ( 100 ´ 5400 ) / 12 ´ 3 = 15000

The simple interest on a sum of money at 8% per annum for 6 years is half the sum. The sum is

  1. Rs. 4800

  2. Rs. 6000

  3. Rs. 8000

  4. Data Inadequate


Correct Option: D
Explanation:

Let sum = x, then, simple interest = x/2

Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest, If the rate of interest is increased by 4%, what amount will Rs. 800 becomes in 3 years?

  1. Rs. 1020.80

  2. Rs. 1025

  3. Rs. 1052

  4. Data Inadequate


Correct Option: C
Explanation:

Simple interest = ( 956 - 800 ) = 156, Rate = ( 100 ´ 156 ) / 800 ´ 3 % = 13/2 % New Rate = ( 13/2 + 4 )% = 21/2 % New SI = ( 800 ´ 21/2 ´ 3/100 ) = 252 Therefore new amount = ( 800 + 252 ) = 1052

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