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Delhi Police Exam Reasoning Study Material

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Arithmetic reasoning

A bus driver wants to travel a distance of 200km. He travels with the speed of 40 km/hr. He takes rest at 3 different hotels for 15 min, 30 min and 15 min respectively. He starts his journey at 9:00 am. At what time does he reach his final destination?

a) 3:00:00 AM
b) 3:00:00 PM
c) 3:30:00 AM
d) 2:30:00 PM

✔Answer

✔Solution

Correct Answer Is : 3:00:00 PM

Solution Is :

If P denotes -, Q denotes x, R denotes + and S denotes ?, then l6Q12P6R5S4 is equal to

a) 30
b) 31
c) 32
d) 33

✔Answer

✔Solution

Correct Answer Is : 33

Solution Is : 16Q12P6R5S4=?
?=16x12?6?5- 4
=16x2+ 5? 4= 32+1 = 33

The sum of ages of mother, daughter and son is 87 yr. What will be the sum of their ages after 8 yr?

a) 105
b) 101
c) 110
d) 111

✔Answer

✔Solution

Correct Answer Is : 111

Solution Is : The required total = 87 + 8 x 3 87 + 24 = 111 yr

Choose the similar group of numbers on the basis of certain common properties they Possess.
(72, 66, 96)

a) (63, 70, 86)
b) (54. 57, 78)
c) (24, 69. 58)
d) (55, 66. 77)

✔Answer

✔Solution

Correct Answer Is : (55, 66. 77)

Solution Is : As. in (72, 66. 96). each number is divisible tx/ 6.
Similarly, in (55 66, 77), each number is divisible by 11

Ali had € 320. He spent 3/4th of it to buy a watch. Of the remainder, he used ?of it to buy a pen. How much money is left?

a) 120
b) €90
c) €70
d) €100

✔Answer

✔Solution

Correct Answer Is : €70

Solution Is : After purchasing the watch, the remaining amount of Ali
= 320 - 320 x 3/4 = 320 80 x 3 = € (320 -240) = €80
After purchasing the pen, remaining amount of Ali
= 80 - 80 x 1/8 = 80 - 10 = €70

If `x` means `addition` `-` means `divisions`, `÷` means `subtraction` and `+` means `multiplication` then which of the following equations is correct ?

a) 16 + 5 - 10 x 4 ÷3 = 9
b) 16 - 5 x10 ÷4 + 3 = 12
c) 16 + 5 ÷10 x 4 - 3 = 9
d) 16 x 5 ÷10 ÷4 - 3 = 19

✔Answer

✔Solution

Correct Answer Is : 16 + 5 - 10 x 4 ÷3 = 9

Solution Is : From option (a), after interchanging the signs 16 + 5 - 10 * 4 ÷3 = 16 * 5 ÷10 + 4 - 3 16 * 5/10 + 4 -3 = 8 + 4 - 3 = 9.

Select the correct combination of mathematical sign to replace * signs and to balance the given question (819)8779

a) + - * =
b) / - + =
c) * - / =
d) / * + =

✔Answer

✔Solution

Correct Answer Is : / * + =

Solution Is : Using the sign of /*+=

If ÷ stands for x x stands for - - stands for + and + stands for ÷, then 48 + 6 - 12 + 2 + 10 = ?

a) 14
b) 16
c) 9
d) 4

✔Answer

✔Solution

Correct Answer Is : 4

Solution Is : Given expression 48 + 6 - 12 ÷ 2 + 10 = ? After conversion 48 ÷ 6 + 12 * 2 ÷ 10 = ? => 8 + 12 * 2 ÷ 10 = ? => 20 * 2/10 =? ? = 4.

Solve the equation using the below given values and answer in numeric values.

a) 10
b) 6
c) 12
d) 8

✔Answer

✔Solution

Correct Answer Is : 8

Solution Is :

Which of the following sets of operation with the usual notations replacing the stars in the order give makes the statements valid? ?100?16?225*?1

a)
b)
c)
d)

✔Answer

✔Solution

Correct Answer Is :

Solution Is :

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Delhi Police Exam Reasoning Study Material

Arithmetic reasoning

A bus driver wants to travel a distance of 200km. He travels with the speed of 40 km/hr. He takes rest at 3 different hotels for 15 min, 30 min and 15 min respectively. He starts his journey at 9:00 am. At what time does he reach his final destination?

Correct Answer Is : 3:00:00 PM

Solution Is :

If P denotes -, Q denotes x, R denotes + and S denotes ?, then l6Q12P6R5S4 is equal to

Correct Answer Is : 33

Solution Is : 16Q12P6R5S4=? ?=16x12?6?5- 4 =16x2+ 5? 4= 32+1 = 33

The sum of ages of mother, daughter and son is 87 yr. What will be the sum of their ages after 8 yr?

Correct Answer Is : 111

Solution Is : The required total = 87 + 8 x 3 87 + 24 = 111 yr

Choose the similar group of numbers on the basis of certain common properties they Possess. (72, 66, 96)

Correct Answer Is : (55, 66. 77)

Solution Is : As. in (72, 66. 96). each number is divisible tx/ 6. Similarly, in (55 66, 77), each number is divisible by 11

Ali had € 320. He spent 3/4th of it to buy a watch. Of the remainder, he used ?of it to buy a pen. How much money is left?

Correct Answer Is : €70

Solution Is : After purchasing the watch, the remaining amount of Ali = 320 - 320 x 3/4 = 320 80 x 3 = € (320 -240) = €80 After purchasing the pen, remaining amount of Ali = 80 - 80 x 1/8 = 80 - 10 = €70

If `x` means `addition` `-` means `divisions`, `÷` means `subtraction` and `+` means `multiplication` then which of the following equations is correct ?

Correct Answer Is : 16 + 5 - 10 x 4 ÷3 = 9

Solution Is : From option (a), after interchanging the signs 16 + 5 - 10 * 4 ÷3 = 16 * 5 ÷10 + 4 - 3 16 * 5/10 + 4 -3 = 8 + 4 - 3 = 9.

Select the correct combination of mathematical sign to replace * signs and to balance the given question (81*9)*8*7*79

Correct Answer Is : / * + =

Solution Is : Using the sign of /*+=

If ÷ stands for x x stands for - - stands for + and + stands for ÷, then 48 + 6 - 12 + 2 + 10 = ?

Correct Answer Is : 4

Solution Is : Given expression 48 + 6 - 12 ÷ 2 + 10 = ? After conversion 48 ÷ 6 + 12 * 2 ÷ 10 = ? => 8 + 12 * 2 ÷ 10 = ? => 20 * 2/10 =? ? = 4.

Solve the equation using the below given values and answer in numeric values.

Correct Answer Is : 8

Solution Is :

Which of the following sets of operation with the usual notations replacing the stars in the order give makes the statements valid? ?100*?16*?225*?1

Correct Answer Is :

Solution Is :

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Solution Is : 16Q12P6R5S4=?
?=16x12?6?5- 4
=16x2+ 5? 4= 32+1 = 33

Choose the similar group of numbers on the basis of certain common properties they Possess.
(72, 66, 96)

Solution Is : As. in (72, 66. 96). each number is divisible tx/ 6.
Similarly, in (55 66, 77), each number is divisible by 11

Solution Is : After purchasing the watch, the remaining amount of Ali
= 320 - 320 x 3/4 = 320 80 x 3 = € (320 -240) = €80
After purchasing the pen, remaining amount of Ali
= 80 - 80 x 1/8 = 80 - 10 = €70

Select the correct combination of mathematical sign to replace * signs and to balance the given question (819)8779

Which of the following sets of operation with the usual notations replacing the stars in the order give makes the statements valid? ?100?16?225*?1