Basic Numeracy - Online Test
Q1. Which one of the following is not a prime number?
Answer : Option D
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 ?
Answer : Option D
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
Answer : Option C
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?
Answer : Option B
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 :
Answer : Option D
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:
Answer : Option A
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:
Answer : Option B
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?
Answer : Option A
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?
Answer : Option D
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:
Answer : Option B
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.
