IMO- Mathematics Olympiad Class 8: Questions 607 - 611 of 1029

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Question number: 607

» Direct and Inverse Proportions

MCQ▾

Question

A sum of money is sufficient to pay As wages for 31 days and Bs wages for 38 days. The same money is sufficient to pay the wages of both for ________.

Choices

Choice (4) Response

a.

12 days

b.

17 days

c.

11 days

d.

10 days

Question number: 608

» Exponents and Powers

MCQ▾

Question

Simplify: (xa.xb)(a2+b2+ab)×(xb.xc)(b2+c2+bc)×(xcxa)(a2+c2+ca)

Choices

Choice (4) Response

a.

a+b+c

b.

1

c.

0

d.

(a2+b2+c2)

Question number: 609

» Exponents and Powers

MCQ▾

Question

When simplified, (x1+y1) is equal to________.

Choices

Choice (4) Response

a.

1

b.

xy

c.

xyx+y

d.

x+yxy

Question number: 610

» Exponents and Powers

Match List-Ⅰ List-Ⅱ▾

Question

Match the following provided that a and b are any rational numbers different from zero andx, y are any rational numbers.
List-Ⅰ (Terms With Same Base Different Exponent) List-Ⅱ (Use Of Basic Exponent Rules)

(A)

axay

(i)

2ax

(B)

ax+ax

(ii)

ythrootofax

(C)

a(xy)

(iii)

axay

Choices

Choice (4) Response
  • (A)
  • (B)
  • (C)

a.

  • (ii)
  • (i)
  • (iii)

b.

  • (iii)
  • (i)
  • (ii)

c.

  • (i)
  • (iii)
  • (ii)

d.

  • (i)
  • (ii)
  • (iii)

Question number: 611

» Factorisation

MCQ▾

Question

If x+a is a factor of x3+ax22x+a+6=0 , then the value of a must be________.

Choices

Choice (4) Response

a.

4

b.

2

c.

3

d.

1

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