# Basic Numeracy - Online Test

Q1. Which one of the following is not a prime number?
Explaination / Solution:

91 is divisible by 7. So, it is not a prime number.

Q2. A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Explaination / Solution:

Let number of notes of each denomination be x.

Then x + 5x + 10x = 480 16x = 480 x = 30.

Hence, total number of notes = 3x = 90.

Q3. 3, 5, 11, 14, 17, 21
Explaination / Solution:

Each of the numbers except 14 is an odd number. The number '14' is the only EVEN number.

Q4. A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Explaination / Solution:

 Speed = 600 m/sec. 5 x 60

= 2 m/sec.

Converting m/sec to km/hr

 = 2 x 18 km/hr 5

= 7.2 km/hr.

Q5. A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
Explaination / Solution:

 A's 1 day's work = 1 ; 15

 B's 1 day's work = 1 ; 20

 (A + B)'s 1 day's work = 1 + 1 = 7 . 15 20 60

 (A + B)'s 4 day's work = 7 x 4 = 7 . 60 15

 Therefore, Remaining work = 1 - 7 = 8 . 15 15

Q6. The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:
Explaination / Solution:

Let the sum be Rs. x. Then,

 C.I. = x 1 + 4 2 - x = 676 x - x = 51 x. 100 625 625

 S.I. = x x 4 x 2 = 2x . 100 25 51x - 2x = 1 625 25 x = 625.

Q7. A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:
Explaination / Solution:

Let the total profit be Rs. 100.

 After paying to charity, A's share = Rs. 95 x 3 = Rs. 57. 5

If A's share is Rs. 57, total profit = Rs. 100.

 If A's share Rs. 855, total profit = 100 x 855 = 1500. 57

Q8. The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Explaination / Solution:

Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.

Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50 5x = 20 x = 4. Age of the youngest child = x = 4 years.

Q9. An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Explaination / Solution:

 Angle traced by the hour hand in 6 hours = 360 x 6 º = 180º. 12

Q10. he ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
Explaination / Solution:

 Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m. 60

Let length = 3x metres and breadth = 2x metres.

Then, 2(3x + 2x) = 1600 or x = 160. Length = 480 m and Breadth = 320 m. Area = (480 x 320) m2 = 153600 m2.