Arithmetic Progressions (IMO- Mathematics Olympiad Class 10): Questions 34 - 38 of 84

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Question number: 34

» Arithmetic Progressions

MCQ▾

Question

In an A. P, If it is given that tp+1=2tq+1 then t3p+1 is equal to ________

Choices

Choice (4) Response

a.

2tp+q1

b.

2tp+q+1

c.

2tpq1

d.

2tpq+1

Question number: 35

» Arithmetic Progressions

MCQ▾

Question

Let a1,a2,andb1,b2,. Be the arithmetic progressions such that a1=25,b1=75anda100+b100=100 . The sum of the first one hundred terms of the progressions (a1+b1),(a2+b2),.. is ________

Choices

Choice (4) Response

a.

100

b.

505000

c.

10000

d.

0

Question number: 36

» Arithmetic Progressions

MCQ▾

Question

If b1,b2,b3,. Belongs to A. P. such that b1+b4+b7++b28=220 , then the value of b1+b2+b3++b28 equals ________

Choices

Choice (4) Response

a.

2200

b.

1232

c.

616

d.

308

Question number: 37

» Arithmetic Progressions

MCQ▾

Question

If four numbers are in A. P. such that their sum is 50 and the greatest number is 4 times the least, then the numbers are ________

Choices

Choice (4) Response

a.

5,10,15,20

b.

4,10,16,22

c.

3,711,15

d.

Question does not provide sufficient data or is vague

Question number: 38

» Arithmetic Progressions

MCQ▾

Question

Find the sum of all three-digit natural numbers, which on being divided by 5, leaves remainder equal to 4.

Choices

Choice (4) Response

a.

57, 270

b.

96, 780

c.

49, 680

d.

99, 270

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