- When the number x is divided by a divisor it’s seen that the divisor = 4 times the quotient = double the remainder. If the remainder is 80 then the worth of x is

- 9680
- 8460
- 6480
- 4680

### Answer is **c**

From the question

Divisor=4 × Quotient = 2 × reminder

Given reminder = 80

Divisor = 2 × 80 = 160

Quotient =160 ÷ 4 = 40

We have, Dividend = Divisor × Quotient + Remainder

Dividend = 160 × 40 + 80 =6480

2. A number when divided successively by 4 and 5 leaves remainder 1 and 4 respectively. When it’s successively divided by 5 and 4 the respective remainders are going to be

- 3, 2
- 1, 2
- 2, 3
- 4, 1

### Answer is **c**

** **Let the number be x

x ÷ 4 leaves remainder 1 and quotient y

y ÷ 5 leaves remainder 4 and quotient 1

y=5 × 1 + 4 = 9

x=4 × y + 1 = 4 × 9 + 1 =37

37 ÷ 5 leaves remainder 2 and quotient 7

7 ÷ 4 leaves remainder 3 and quotient 1

3. When a student was asked to multiply a number by 3/2 instead he divided that number by 3/2. His result was 10 less than the right answer. The number was:

- 15
- 12
- 5
- 20

### Answer is **b**

Let, Given number be x.

Student was asked to multiply number with 3/2 =x × (3/2)

But, Student divided with 3/2 =x ÷ (3/2)

According to problem difference of these two is equal to 10

[x × (3/2) ]- [3/2 =x ÷ (3/2)] = 10

(3x/2)-(2x/3) = 10

(9x-4x)/6 = 10

X = 12

4. A number, when divided by 52, gives remainder 45. If this number is divided by 13, the remainder is going to be

- 6
- 7
- 12
- 5

### Answer is **a**

Here 13 is a factor of 52.

So, we can directly divide the remainder by 45 to get resultant remainder

45/13 quotient is 3 and remainder is 6

5. When two numbers each divided by the same divisor, give remainders 3 and 4 respectively. If the sum of the 2 numbers is divided by the same divisor, the remainder is 2. The divisor is

- 3
- 9
- 7
- 5

### Answer is **d**

Divisor = First Reaminder + Second Remainder – Third Remainder

Divisor = 3 + 4 – 2 = 5

Read More: Number System Concepts