# IMO Level 1- Mathematics Olympiad (SOF) Class 8: Questions 515 - 520 of 1042

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## Question 515

Edit

### Question

MCQ▾

Number of prime factors in is

### Choices

Choice (4)Response
a.72
b.70
c.55
d.73

## Question 516

Edit

### Question

Match List-Ⅰ List-Ⅱ▾

Match the following provided that and are any rational numbers different from zero and, are any rational numbers.

List-Ⅰ (Uses of Exponent Rules)List-Ⅱ (Term with Different Base and Same Exponent)

(A)

(i)

(B)

(ii)

(C)

(iii)

### Choices

Choice (4)Response
• (A)
• (B)
• (C)
a.
• (ii)
• (i)
• (iii)
b.
• (ii)
• (iii)
• (i)
c.
• (iii)
• (ii)
• (i)
d.All of the above

## Question 517

Edit

### Question

MCQ▾

The value of is________.

### Choices

Choice (4)Response
a.7
b.
c.1
d.9

## Question 518

Edit

### Question

MCQ▾

For a group of 20 students food lasts for 55 days. For how many days will the same food last for 50 students?

### Choices

Choice (4)Response
a.21 days
b.12 days
c.22 days
d.11 days

## Question 519

Edit

### Question

Match List-Ⅰ List-Ⅱ▾

Match the following provided that and are any rational numbers different from zero and, are any rational numbers.

List-Ⅰ (Terms with Same Base Different Exponents)List-Ⅱ (Uses of Basic Exponent Rule)

(A)

(i)

(B)

(ii)

(C)

(iii)

### Choices

Choice (4)Response
• (A)
• (B)
• (C)
a.
• (i)
• (ii)
• (iii)
b.
• (ii)
• (iii)
• (i)
c.
• (iii)
• (ii)
• (i)
d.All of the above

## Question 520

Edit

### Question

MCQ▾

can do a piece of work in 60 days. He works at it for 10 days and then alone finishes the work in 42 days. The two together could have completed the work in ________.

### Choices

Choice (4)Response
a.22 days
b.30 days
c.20 days
d.25 days