Mock Test 2 Arithmetic Answers with Explanations

Mock Test 2 Arithmetic Answers with Explanations

  1. 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 1st kind Cost of 1 kg tea of 2nd 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

3x = 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

 

 

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