1.

A and B entered into a partnership investing Rs. 16000 and Rs. 12000 resp. After 3 months A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs.26,400 after one year by

**Answer: Option 'C'**

**1. Investment of A = Rs. 16000 × 3 + Rs. 11000 × 9
= Rs. 147000 (Since he withdrew Rs. 5000 after 3 months)
2. Investment of B = Rs. 12000 × 3 + Rs. 17000 × 9
= Rs. 189000 (he invested Rs. 5000 more after 3 months)
3. Investment of C = Rs. 21000 × 6 = Rs. 126000 (He joined after 3 more months)
4. Profits ratio = 147 : 189 : 126 ; 7 : 9 : 6
5. Share of B = 9/22 × 26400 = Rs. 10800/6.
Share of C = 6/22 × 26400 = Rs. 7200.
Share of B exceeds that of C
= Rs. 10800 - Rs. 7200
= Rs. 3600/-**

2.

An empty drum can be filled with 18 buckets of water, if the capacity of each bucket is 16 liters. How many buckets will be need to fill the drum if the capacity of each bucket is 12 litres?

**Answer: Option 'C'**

**Capacity of the drum = 18 × 16 = 288 liters
No. of buckets needed = 288/12 = 24 liters**

3.

John can row at a speed of 6.8 kmph in still water. If the speed of the stream is 3.2 kmph, find the time taken by him to row 15 km downstream.

**Answer: Option 'B'**

**Speed of the john in still water = 6.8 kmph
Speed of the stream = 3.2 kmph
Downstream speed = 6.8 + 3.2 = 10 kmph
Time taken => distance/speed 15/10 = 1.5 hours**

4.

The sum of the ages of Sandya and Avanthi is twice the difference of their ages. Find the ratio of Avanthi's age to Sandya's age.

**Answer: Option 'C'**

**Lets the age of Sandya as S
Lets the age of Avanthi as A
S + A = 2(S - A)
S + A = 2S - 2A
3A = S
A/S = 1/3
A : S = 1 : 3
**

5.

Five years ago, the sum of my age and my mother's age was equal to my father's age. If my father is 6 years elder than my mother, find my present age

**Answer: Option 'B'**

**Let my present age be X
Let the age of my mom as M
Let the age of my father as F
So, According to question
(X - 5) + (M - 5) = (F - 5),
X + M = F + 5
X = F - M + 5
F - M = 6
X = 6 + 5 = 11**

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