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Delhi Police Exam Numerical Ability Study Material

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Arithmetic

A can do in one day three times the work done by B j one day. They together finish 2 of the work in 9 days. The 5 number of days by which B can do the work alone is

a) 30
b) 90
c) 120
d) 100

✔Answer

✔Solution

Correct Answer Is : 30

Solution Is : RatIo of efficiency of A and B = 3:1
Ratio of time of AandB= 1:3
Work done by A and B in one day = 4/(3X)
Work done by AandB in9 days =12/X
As per condition 2/5=12/X , X=30

At what rate of compound interest per annum will, a sum of 1200 become 1348.32 in 2 yr?

a) 0.06
b) 0.075
c) 0.065
d) 0.07

✔Answer

✔Solution

Correct Answer Is : 0.06

Solution Is : Given , P=12OO, n=2,A=1348.32 ,Formula , Compound A=P(1+R/100)n = 6%

Among the following statements, the statement which is not correct is

a) Every integer is a rational number
b) Every natural number is an integer
c) Every natural number is a real number
d) Every real number is a rational number

✔Answer

✔Solution

Correct Answer Is : Every real number is a rational number

Solution Is : Every real number is rational and irrational number

How much (66/3 )% of 312 exceeds 200?

a) 104
b) 96
c) 4
d) 8

✔Answer

✔Solution

Correct Answer Is : 8

Solution Is : 66X2/3 % of 312 = 200+ x,312X(200/300) =2OO+ x
208=200+ x=208-200=8

After allowing a discount of 20%, a radio is available for 1200. Its marked price was

a) 1400
b) 1550
c) 1500
d) 1800

✔Answer

✔Solution

Correct Answer Is : 1500

Solution Is : 80%=1200 ,100%=1200 x 100 / 80 = 1500

The average of 12 numbers is 15 and the average of the first two is 14. What is the average of the rest?

a) 14x1/5
b) 15
c) 15x(1/5)
d) 14

✔Answer

✔Solution

Correct Answer Is : 15x(1/5)

Solution Is : Average of 12 numbers =15 , Sum of 12 numbers=12 x 15 =180
Similarly, sum of first two numbers =2 x 14=28
Sum of remaining numbers = 180? 28= 152
So, the required average = 15 x(1/5 )

A, B and C can complete a piece of work in 24, 5 and 12 days respectively. Working together, they Will complete the same work in

a) (1/24) days
b) (7/24)days
c) 3 1/13 days
d) 4days

✔Answer

✔Solution

Correct Answer Is : 3 1/13 days

Solution Is : L.C.M Of 24 , 5 , 12 = 120 so the required time is 120/39= 3 x (1/13)

If the ratio of principal and the simple interest of 5 years is 10:3, then the rate of interest is :

a) 3%
b) 5%
c) 6%
d) 8%

✔Answer

✔Solution

Correct Answer Is : 6%

Solution Is : Let the principle ammount is 10x , and interest is 3x , simple interest = PTR/100 , R=300/50=6

The ratio of syrup and water in a mixture is 3 : 1, then the percentage of syrup in this mixture is

a) 33x1/3
b) 75
c) 25
d) 66x2/6

✔Answer

✔Solution

Correct Answer Is : 25

Solution Is : Sugar:Syrup =3:1 , Percentge of Syrup=1/4X100=25%

The quotient when 10100 is divided by 575 is ?

a) 275x1025
b) 225x1025
c) 10 25
d) 2 75

✔Answer

✔Solution

Correct Answer Is : 275x1025

Solution Is : (10)100/(5)75=(2 x 5)100/575 =2100 x 5100 /525 =275 x 225 x 525 =275 x 1025

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Delhi Police Exam Numerical Ability Study Material

Arithmetic

A can do in one day three times the work done by B j one day. They together finish 2 of the work in 9 days. The 5 number of days by which B can do the work alone is

Correct Answer Is : 30

Solution Is : RatIo of efficiency of A and B = 3:1 Ratio of time of AandB= 1:3 Work done by A and B in one day = 4/(3X) Work done by AandB in9 days =12/X As per condition 2/5=12/X , X=30

At what rate of compound interest per annum will, a sum of 1200 become 1348.32 in 2 yr?

Correct Answer Is : 0.06

Solution Is : Given , P=12OO, n=2,A=1348.32 ,Formula , Compound A=P(1+R/100)n = 6%

Among the following statements, the statement which is not correct is

Correct Answer Is : Every real number is a rational number

Solution Is : Every real number is rational and irrational number

How much (66/3 )% of 312 exceeds 200?

Correct Answer Is : 8

Solution Is : 66X2/3 % of 312 = 200+ x,312X(200/300) =2OO+ x 208=200+ x=208-200=8

After allowing a discount of 20%, a radio is available for 1200. Its marked price was

Correct Answer Is : 1500

Solution Is : 80%=1200 ,100%=1200 x 100 / 80 = 1500

The average of 12 numbers is 15 and the average of the first two is 14. What is the average of the rest?

Correct Answer Is : 15x(1/5)

Solution Is : Average of 12 numbers =15 , Sum of 12 numbers=12 x 15 =180 Similarly, sum of first two numbers =2 x 14=28 Sum of remaining numbers = 180? 28= 152 So, the required average = 15 x(1/5 )

A, B and C can complete a piece of work in 24, 5 and 12 days respectively. Working together, they Will complete the same work in

Correct Answer Is : 3 1/13 days

Solution Is : L.C.M Of 24 , 5 , 12 = 120 so the required time is 120/39= 3 x (1/13)

If the ratio of principal and the simple interest of 5 years is 10:3, then the rate of interest is :

Correct Answer Is : 6%

Solution Is : Let the principle ammount is 10x , and interest is 3x , simple interest = PTR/100 , R=300/50=6

The ratio of syrup and water in a mixture is 3 : 1, then the percentage of syrup in this mixture is

Correct Answer Is : 25

Solution Is : Sugar:Syrup =3:1 , Percentge of Syrup=1/4X100=25%

The quotient when 10100 is divided by 575 is ?

Correct Answer Is : 275x1025

Solution Is : (10)100/(5)75=(2 x 5)100/575 =2100 x 5100 /525 =275 x 225 x 525 =275 x 1025

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Solution Is : RatIo of efficiency of A and B = 3:1
Ratio of time of AandB= 1:3
Work done by A and B in one day = 4/(3X)
Work done by AandB in9 days =12/X
As per condition 2/5=12/X , X=30

Solution Is : 66X2/3 % of 312 = 200+ x,312X(200/300) =2OO+ x
208=200+ x=208-200=8

Solution Is : Average of 12 numbers =15 , Sum of 12 numbers=12 x 15 =180
Similarly, sum of first two numbers =2 x 14=28
Sum of remaining numbers = 180? 28= 152
So, the required average = 15 x(1/5 )