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, |
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 |
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 |
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. |
Question 281
Question MCQ▾
In the figure, AB is parallel to CF. DE is a straight line. Find .
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | 108° | |
d. |
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 |
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 |