IMO- Mathematics Olympiad Class 10: Questions 648 - 652 of 889

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Question number: 648

» Arithmetic Progressions

MCQ▾

Question

The sum of all terms of the arithmetic progression having ten terms except for the first term, is 81, and except for the sixth term, 55. Find the third term of the progression if the sum of the first and the fifth term is equal to 12.

Choices

Choice (4) Response

a.

5

b.

15

c.

10

d.

8

Question number: 649

» Arithmetic Progressions

MCQ▾

Question

If a, b, c are in A. P, then a3+4b3+c3 is equal to ________

Choices

Choice (4) Response

a.

3b(a2+c2)

b.

3b(c2a2)

c.

3b(a2c2)

d.

3b2(a2+c2)

Question number: 650

» Logical & Analytical Reasoning

MCQ▾

Question

If in a certain language CHARCOAL is coded as 32143516 and MORALE is coded as 754168, then the REAL code is ________

Choices

Choice (4) Response

a.

4862

b.

1648

c.

4816

d.

6216

Question number: 651

» Logical & Analytical Reasoning

MCQ▾

Question

At a farm, there are ducks, Horses, buffalo and keepers to look after them. There are 134 heads less than legs. The number of horses is double than that of the buffalo but the number of horses and ducks is the same and there is one keeper per 30 birds and cattle. The total number of ducks plus horses and buffalo and their keepers does not exceed 80. How many houses are there?

Choices

Choice (4) Response

a.

26

b.

22

c.

24

d.

23

Question number: 652

» Logical & Analytical Reasoning

MCQ▾

Question

Find the missing number in the adjoining figure.

Given the alphabets and numbers are in adjoining figure

Given the Alphabets and Numbers Are in Adjoining Figure

Given the alphabets and numbers are in adjoining figure and find the missing number

Choices

Choice (4) Response

a.

12

b.

14

c.

11

d.

13

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