IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 523 - 527 of 968

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Question 523

Question

MCQ▾

f (x) is a fifth degree polynomial. It is given that f (x) + 1 in divisible by and is divisible by . Find f (x) .

Choices

Choice (4)Response

a.

b.

c.

d.

Question 524

Question

MCQ▾

While selling a watch, a shopkeeper gives a discount of . If he gives a discount of , he earns ₹ 30 less as profit. The marked price of the watch is ________

Choices

Choice (4)Response

a.

₹ 1600

b.

₹ 1480

c.

₹ 1500

d.

₹ 1750

Question 525

Question

MCQ▾

AB is a line segment is a point on AB. ACPQ and CBRS are squares drawn on the same side AB,

Choices

Choice (4)Response

a.

P is the orthocenter of the triangle APB.

b.

M is the orthocenter of the triangle APB.

c.

C is the orthocenter of the triangle APB.

d.

S is the orthocenter of the triangle APB.

Question 526

Question

MCQ▾

A man whose bowling average is 18.2 takes 4 wickets for 46 runs and thereby decreases his average by 0.2. The number of wickets, taken by him, before his last match, is ________

Choices

Choice (4)Response

a.

140

b.

115

c.

130

d.

110

Question 527

Question

MCQ▾

Sudhir buys a watch for ₹ . He pays half of the amount in cash and agrees to pay the balance in 12 annual instalments of ₹ 10,000 each. If the rate of interest is and he pays with the instalment the interest due on the unpaid amount, find the total cost of the watch.

Choices

Choice (4)Response

a.

4,25, 000

b.

6,85, 000

c.

9,25, 000

d.

3,82, 000