(IGP) IAS Pre Paper - 2: GS - Basic Numeracy - Sequences & Series (MCQ -25)

1. If five times the fifth term of an AP is equal to seven times, the seventh term of the AP, then what is the twelfth term?
(a) –1
(b) 0
(c) 1
(d) –2

2. Three terms are in AP such that their sum is 18. The sum of the first two terms is six more than the sum of the last two terms. Find the last term.
(a) 6
(b) 9
(c) 3
(d) 2

3. Determine k, so that (k + 2), (4k – 6) and (3k – 2) are three consecutive terms of an AP.
(a) 3
(b) 2
(c) 4
(d) 6

4. In an AP, the first term is 2 and the sum of the first five terms is one-fourth the sum of the next five terms. Find the second term.
(a) –4
(b) –10
(c) –16
(d) –12

5. The sum of four terms in an AP is 64. The productof the extreme terms is 220. Find the first and fourth term.
(a) 14, 28
(b) 10, 22
(c) 28, 14
(d) 6, 30

6. Three terms are in AP such that their sum is 30. The product of the three terms is 910. The three terms are
(a) 7, 10, 13
(b) 5, 10, 15
(c) 8, 10, 12
(d) 6, 10, 14

7. The first three terms of a GP are 2x, 3x + 8 and 5x + 24. Find the eighth term of the progression, if x > 0.
(a) 2048
(b) 1.024
(c) 512
(d) 256

8. If the sixth term of an AP is 150, find the sum of the first eleven terms.
(a) 1750
(b) 1650
(c) 1850
(d) 1450

9. Find the sum of all natural numbers from 100 to 200 (both inclusive) which are exactly divisible by 4.
(a) 3900
(b) 2700
(c) 4200
(d) 1800

10. Find the sum of all odd numbers between 200 and 300.
(a) 10000
(b) 12000
(c) 12500
(d) 10100

11. Find the sum of all the two-digit numbers whichleave a remainder of 3 when divided by 7.
(a) 676
(b) 467
(c) 567
(d) 476

12. The arithmetic mean of two numbers is 46 and the difference between these numbers is 40. Find the two numbers.
(a) 26, 66
(b) 28, 68
(c) 22, 62
(d) 27, 67

13. The sum of all integers between 50 and 300 which ends 2 is
(a) 4500
(b) 4100
(c) 4300
(d) 4200

14. Divide 124 into four parts which are in AP such that the product of the first and fourth part is 128 less than the product of the second and third part.
(a) 17, 25, 37, 45
(b) 19, 27, 35, 43
(c) 21, 29, 33, 41
(d) 15, 23, 39, 47

15. If 20 is divided into four parts which are in AP such that the product of the first and fourth is to the product of the second and third is in the ratio 2 : 3.
(a) 1, 3, 7, 9
(b) 2, 4, 6, 8
(c) 3, 5, 5, 7
(d) 4, 6, 3, 7

16. Find the values of x and y, if (x + y), (2x + 1), (3x – 1) are in AP and x, xy and (3x + 10y) are in GP.
(a) 5, 3
(b) 5, 2
(c) 3, 2
(d) 3, 4

17. A contractor who fails to complete a project in a certain specified time is compelled to forfeit Rs. 100 for the first day of extra-time required and forfeit thereafter is increased by Rs. 25 everyday. If he loses Rs. 1500, then for how many days did he over run the contract time?
(a) 8 days
(b) 9 days
(c) 7 days
(d) 10 days

18. A man saves Rs. 145000 in ten years. In each year after the first year he saved ‘ 2000 more than he did in the proceeding year. How much did he save in the first year?
(a) Rs. 5000
(b) Rs. 5500
(c) Rs. 6000
(d) Rs. 6500

19. The first term of a GP is 2 and the sum to infinity is 6. Find the common ratio.
(a) 2/3
(b)1/3
(c)1/2
(d) 2/5

20. Divakar and Subhank set out to meet each other from Delhi and Saharanpur, 330 km apart. Divakar travels 30 km on the first day, 28 km on the second day, 26 km on the third day and so on. Subhank travels 20 km on the first day, 24 km on the second day, 28 km on the third day and so on. In how many days they meet, if they started moving towards each other at the same time?
(a) 4
(b) 5
(c) 6
(d) None of these

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