Arithmetic Progression MCQ Set 3

ARITHMETIC PROGRESSION MCQ SET 3

1. How many terms of series -9 , -6 , -3 , …. must be taken so that the sum of all the terms is 45?

(a) 9

(b) 11

(c) 10

(d) 8

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Answer: C

2. If 1st term of an A.P. is 5 , the last term is 45 & sum is 400 then find number of terms .

(a) 15

(b) 14

(c) 18

(d) 16

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Answer: D

3. Find sum of natural numbers between 100 & 1000 which are multiples of 5 .

(a) 94540

(b) 98450

(c) 95320

(d) 96430

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Answer: B

4. Find sum of natural between 100 and 1000 are multiples of 5 and 7 simultaneously .

(a) 15204

(b) 13102

(c) 11105

(d) 14105

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Answer: D

5. Find the sum of the first 157 terms of an A.P. whose first term and third term are 160 and 170 respectively .

(a) 84350

(b) 85350

(c) 83350

(d) 86350

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Answer: D

6. A man saves Rs.1550 in January 2020 and increases his saving by Rs.75 every month over the previous month . What is the annual saving of the man for the year 2020? (in Rs.)

(a) 23250

(b) 23350

(c) 23550

(d) 23450

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Answer: C

7. How many positive integers less than 100 have a remainder of 3 when divided by 7?

(a) 13

(b) 15

(c) 12

(d) 14

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 Answer: D

8. If the ratio of the sum to n terms of two A.P.’s is (5n + 3) : (3n + 4) , then the ratio of their 17th terms is

(a) 172 : 99

(b) 168 : 103

(c) 175 : 99

(d) 171 : 103

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Answer: B

9. If the 10th term of an AP is 21 and 17 term is 8 more than the 13th term , then find the AP .

(a) 7 , 10 , 13 , 16 ……

(b) 3 , 8 , 11 , 14 ……

(c) 5 , 7 , 9 , 11 ……

(d) 3 , 5 , 7 , 9 ……

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Answer: D

10. If sum of first 2n term of the AP 2 , 5 , 8 , …… is equal to the sum of the first n terms of 57 , 59 , 61 , …… Then find n

(a) 10

(b) 12

(c) 11

(d) 13

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Answer: C