# Quantitative Aptitude Questions Daily Quiz Day – 12

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1) If P is 8 times to Q, then find by how much percent Q is less than P.

a) 89.5%

b) 77.5%

c) 87.5%

d) None of these

2) How many numbers are there in between 35 to 149 which are divisible by 11 ?

a) 11

b) 10

c) 15

d) 18

3) 1(1/4) + 5(1/2) + 1(1/3) + 10(1/3) + 7(2/3) – 5(1/2) = ?

a) 20 (7/12)

b) 18 (7/12)

c) 19 (7/8)

d) 19 (3/4)

4) Which of the following is a prime number?

a) 101

b) 361

c) 382

d) 450

5) A sum when invested for 3 years becomes eight times of itself when the rate is being compounded annually, then find the rate of interest?

a) 50%

b) 200%

c) 100%

d) None of these

6) The downstream and upstream speed of a boat while covering the same distance is 36 kmph and 30 kmph, Find the speed of boat in still water .

a) 30 kmph

b) 20 kmph

c) 33 kmph

d) 36 kmph

7) How many numbers are there in between 10 to 99 which are divisible by 8?

a) 11

b) 10

c) 15

d) 18

8) The time taken by Ajay and Vijay to complete a certain work alone is 10.5 days and 17.5 days respectively, Find the time taken by them together to complete the work .

a) 107/8 days

b) 101/8 days

c) 105/8 days

d) 105/16 days

9) (a + b)2 = 100 and (a – b)2 = 4, Find the value of a and b?

a) 6, 4

b) 5, 5

c) 4, 6

d) Cannot be determined

10) 4(1/3) + 2(1/4) + 5(2/3) – 1(1/6) + 8(2/3) =?

a) 11(3/4)

b) 18(3/4)

c) 20(3/4)

d) 19(3/4)

P : Q = 8x : x

Difference = 7x

Percentage = (7x/8x) X 100

= 87.5%

First number = 35

Last number = 149

Total number in between them = 114

Total number divisible by 11 = 114/11 = 10

1(1/4) + 5(1/2) + 1(1/3) + 10(1/3) + 7(2/3) – 5(1/2)

The above expression can be written as:-

= (1 + 5 + 1 – 5 + 10 + 7) + (1/4 + 1/2 + 1/3 +1/3 – 1/2 + 2/3)

= 19 + (1 + 7/12)

= 20 (7/12)

Prime number: Number which is divisible by 1 and itself. Prime numbers start from 2, 3 and so on.

101: This number is only divisible by 1 and itself.

Principle                                         Amount

1                              :                         8

Taking cube root because T = 3 years.

1                              :                         2

Compound Interest = A – P

Compound Interest = 1

Rate = (1/1)X 100

= 100%

Let the speed of boat in still water and speed of stream be ‘u’ kmph and ‘v’ kmph.

u + v = 36

u – v = 30

Solving the above equations we get,

Speed of boat in still water = u = 33 kmph

First number = 10

Last number = 99

Total number in between them = 89

Total number divisible by 8 = 89/8 = 11

Let the total work = 105 units (LCM of 21 and 35)

Working efficiency = 10 : 6

One day work by them together = 16 units.

Time taken together = 105/16 days

(a + b)2 = 100

(a – b)2 = 4

Taking square root of both equations,

(a + b) = 10

(a – b) = 2

On solving

a = 6, b = 4