## Mock Test 2 Arithmetic Answers with Explanations

- A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:

**Explanation:**

C.P. = Rs. 3000.

S.P. = Rs. | 3600 x 100 | = Rs. 3000. | ||

100 + (10 x 2) |

Gain = 0%.

2. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

**Explanation:**

C’s 1 day’s work = | 1 | – | 1 | + | 1 | = | 1 | – | 7 | = | 1 | . | ||

3 | 6 | 8 | 3 | 24 | 24 |

A’s wages : B’s wages : C’s wages = | 1 | : | 1 | : | 1 | = 4 : 3 : 1. |

6 | 8 | 24 |

C’s share (for 3 days) = Rs. | 3 x | 1 | x 3200 | = Rs. 400. | ||

24 |

3. A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?

**Explanation:**

Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.

Required sale = Rs. [ (6500 x 6) – 34009 ]

= Rs. (39000 – 34009)

= Rs. 4991.

4. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

**Explanation:**

L.C.M. of 2, 4, 6, 8, 10, 12 is 120.

So, the bells will toll together after every 120 seconds(2 minutes).

In 30 minutes, they will toll together | 30 | + 1 = 16 times. |

2 |

5.Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

**Explanation:**

Since first and second varieties are mixed in equal proportions.

So, their average price = Rs. | 126 + 135 | = Rs. 130.50 | ||

2 |

So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. *x* per kg in the ratio 2 : 2, *i.e.,* 1 : 1. We have to find *x*.

By the rule of alligation, we have:

Cost of 1 kg of 1^{st} kind Cost of 1 kg tea of 2^{nd} kind |
||

Rs. 130.50 | Mean Price Rs. 153 |
Rs. x |

(x – 153) |
22.50 |

x – 153 |
= 1 | |

22.50 |

*x* – 153 = 22.50

*x* = 175.50

6. A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:

**Explanation:**

Let C = *x*.

Then, B = *x* + 5000 and A = *x* + 5000 + 4000 = *x* + 9000.

So, *x* + *x* + 5000 + *x* + 9000 = 50000

3*x* = 36000

*x* = 12000

A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.

A’s share = Rs. | 35000 x | 21 | = Rs. 14,700. | ||

50 |

7. The reflex angle between the hands of a clock at 10.25 is:

**Explanation:**

Angle traced by hour hand in | 125 | hrs = | 360 | x | 125 | º | = 312 | 1 | º | . | ||

12 | 12 | 12 | 2 |

Angle traced by minute hand in 25 min = | 360 | x 25 | º | = 150º. | ||

60 |

Reflex angle = 360º – | 312 | 1 | – 150 | º | = 360º – 162 | 1 | º | = 197 | 1 | . | ||

2 | 2 | 2 |