IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 277 - 283 of 1034

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Question 277

Question MCQ▾

If a, b, c are reals such that and , find the numerical values of a, b and c.

Choices

Choice (4)Response

a.

2,3,

b.

3, 4

c.

2,

d.

2,2,

Edit

Question 278

Question MCQ▾

Charmi and Chesti had 777 phone cards. Chesti had twice as many phone cards as Charmi. How many phone cards did Chesti have?

Choices

Choice (4)Response

a.

258

b.

259

c.

518

d.

358

Edit

Question 279

Question MCQ▾

Rahul and Chirag had 5184 phone cards. Rahul had seven times as many phone cards as Chirag. How many phone cards did Chirag have?

Choices

Choice (4)Response

a.

458

b.

269

c.

858

d.

648

Edit

Question 280

Question MCQ▾

What is the angle between the hands of clock at 4 o՚clock?

Choices

Choice (4)Response

a.

b.

150°

c.

d.

Edit

Question 281

Question MCQ▾

In the figure, AB is parallel to CF. DE is a straight line. Find .

Straight Line DE and AB is Parallel to CF

Choices

Choice (4)Response

a.

b.

c.

108°

d.

Edit

Question 282

Question MCQ▾

When and , then which is true?

Choices

Choice (4)Response

a.

is divisible by 3

b.

is divisible by 3

c.

is divisible by 3

d.

is divisible by 3

Edit

Question 283

Question MCQ▾

ABC is an acute angled triangle. P, Q are the points on AB and AC respectively such that area of APC = area of AQB. A line is drawn through B parallel to AC and meets the line trough Q parallel to AB at S. QS cuts BC at R.

Choices

Choice (4)Response

a.

AP = PC

b.

RS = AP

c.

PC = BP

d.

BR = RC

Edit