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 ?

**A. ** 45

**B. ** 60

**C. ** 75

**D. ** 90

**Answer : ****Option D**

**Explaination / Solution: **

Let number of notes of each denomination be *x*.

Then *x* + 5*x* + 10*x* = 480

16*x* = 480

*x* = 30.

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

Workspace

Report

3, 5, 11, 14, 17, 21

**A. ** 21

**B. ** 17

**C. ** 14

**D. ** 3

**Answer : ****Option C**

**Explaination / Solution: **

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

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

Workspace

Report

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

**A. ** 3.6

**B. ** 7.2

**C. ** 8.4

**D. ** 10

**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.

Workspace

Report

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 :

**A. ** 1/4

**B. ** 1/10

**C. ** 7/15

**D. ** 8/15

**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 |

Workspace

Report

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:

**A. ** 625

**B. ** 630

**C. ** 640

**D. ** 650

**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.

Workspace

Report

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:

**A. ** Rs. 1425

**B. ** Rs. 1500

**C. ** Rs. 1537.50

**D. ** Rs. 1576

**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 |

Workspace

Report

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?

**A. ** 4 years

**B. ** 8 years

**C. ** 10 years

**D. ** None of these

**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

5*x* = 20

*x* = 4.

Age of the youngest child = *x* = 4 years.

Workspace

Report

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?

**A. ** 144º

**B. ** 150º

**C. ** 168º

**D. ** 180º

**Answer : ****Option D**

**Explaination / Solution: **

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

12 |

Workspace

Report

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:

**A. ** 15360

**B. ** 153600

**C. ** 30720

**D. ** 307200

**Answer : ****Option B**

**Explaination / Solution: **

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

60 |

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

Then, 2(3*x* + 2*x*) = 1600 or *x* = 160.

Length = 480 m and Breadth = 320 m.

Area = (480 x 320) m^{2} = 153600 m^{2}.

Workspace

Report

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

**A. ** 564

**B. ** 645

**C. ** 735

**D. ** 756

**E. ** None of these

**Answer : ****Option D**

**Explaination / Solution: **

We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).

Required number of ways | = (^{7}C_{3} x ^{6}C_{2}) + (^{7}C_{4} x ^{6}C_{1}) + (^{7}C_{5}) | |||||||||||

| ||||||||||||

| ||||||||||||

= (525 + 210 + 21) | ||||||||||||

= 756. |

Workspace

Report