IMO- Mathematics Olympiad Class 10: Questions 645 - 650 of 958

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Question number: 645

» Arithmetic Progressions

MCQ▾

Question

If Equation up to n terms and n is even, then S equals________

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 646

» Arithmetic Progressions

MCQ▾

Question

Let Equation denotes the sum of n terms of an A. P. , whose first term is a. if the common difference d is given by Equation then K is equal to ________ ________

Choices

Choice (4) Response

a.

2

b.

1

c.

4

d.

3

Question number: 647

» Arithmetic Progressions

MCQ▾

Question

Product of the fourth term and the fifth term of an arithmetic progression is 594. Division of the ninth term by the fourth term of the progression gives quotient as 2 and the remainder as 3. Find the first term of the progression

Choices

Choice (4) Response

a.

9

b.

6

c.

4

d.

7

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 Equation is equal to ________

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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

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