1.) If the number 5 * 2 is divisible by 6, then * =?

**A.** 2 **B.** 3

**C.** 6 **D.** 7

**View Answer**

**Answer**: Option **A**

**Explanation:**

6 = 3 x 2. Clearly, 5 * 2 is divisible by 2. Replace * by x.

Then, (5 + x + 2) must be divisible by 3. So, x = **2.**

2.) The unit digit in the product (784 x 618 x 917 x 463) is:

**A.** 2 **B.** 3

**C.** 4 **D.** 5

**View Answer**

**Answer:** Option **A**

**Explanation:**

Unit digit in the given product = Unit digit in (4 x 8 x 7 x 3)

= (672) = **2**

3.) If the number 653 xy is divisible by 90, then (x + y) = ?

**A.** 2 **B.** 3

**C.** 4 **D.** 6

**View Answer**

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

**Explanation:**

90 = 10 x 9

Clearly, 653xy is divisible by 10, so y = 0

Now, 653x0 is divisible by 9.

So, (6 + 5 + 3 + x + 0) = (14 + x) is divisible by 9. So, x = 4.

Hence, (x + y) = (4 + 0) = **4.**

4.) A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 98 are wrong and the other digits are correct, then the correct answer would be:

**A.** 553681 **B.** 555181

**C.** 555681 **D.** 556581

**View Answer**

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

**Explanation:**

987 = 3 x 7 x 47

So, the required number must be divisible by each one of 3, 7, 47

==> 553681 (Sum of digits = 28, not divisible by 3)

==> 553181 (Sum of digits = 25, not divisible by 3)

==> 555681 are divisible by **3, 7, 47.**

5.) The Difference between two number s 1365. When the larger number is divided by the smaller one the quotient is 6 and the remainder is 15. The smaller number is?

**A.** 240 **B.** 270

**C.** 295 **D.** 360

**View Answer**

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

**Explanation:**

Let the smaller number be x, then larger number = 1365 + x

Therefore 1365 + x = 6x + 15

5x = 1350 ==> x = 270

Required Number is **270.**