1) A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:

**A.** 22 **B.** 23

**C.** 24 **D.** 26

**View Answer**

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

**Explanation:**

Let the number of hens be x and the number of cows be y.

Then, x + y = 48 ..… (i)

and 2x + 4y = 140 x + 2y = 70 ......(ii)

Solving (i) and (ii) we get: x = 26, y = 22.

The required answer = **26.**

2) Village X has a population of 68000, which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year. In how years will the population of the two villages be equal?

**A.** 22 years **B.** 16 years

**C.** 13 years **D.** 7 years

**View Answer**

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

**Explanation:**

Let the population of villages X and Y be equal after p years.

Then, 68000 - 1200p = 42000 + 800p

==> 2000p = 26000

==> p=13.

So, their population will be equal after **13 years.**

3) 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

**View Answer**

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

**Explanation:**

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.**

4) In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for?

**A.** 160 **B.** 175

**C.** 180 **D.** 195

**View Answer**

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

Explanation:

Suppose the man works overtime for x hours.

Now, working hours in 4 weeks = (5 **X** 8 **X** 4) = 160.

160 **X** 2.40 + x **X** 3.20 = 432

3.20** X** = 432 - 384 = 48

x = 15.

Hence, total hours of work = (160 + 15) =** 175.**

5) N number of persons decided to raise Rs. 3 lakhs by equal contributions from each. Had they contributed Rs. 50 each extra, the contribution would have been Rs. 3.25 lakhs. How many persons are they?

**A.** 400 **B.** 450

**C.** None of these **D.** 500

**View Answer**

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

**Explanation:**

N **x **50 = (325000 – 300000) = 25000

==> N=**500.**