1) Find the 10th element in the series 5,15,35,45.....    
    Choices :   a) 95   b) 85  c) Cannot be determined

    Correct Answer: c) Cannot be determined

    Reason:  The given sequence is not in arithmetic progression. The difference between third and second elements is 20 whereas between second and first element is 10.
Hence correct answer is "Cannot be determined"

2) Find the odd man out

    Choices : a)3,6,9,12   b)2,4,8,16   c)12,24,36,48   d)10,13,16,19
    Correct Answer: b) 2,4,8,16

    Reason: The second sequence 2,4,8,16 is in geometric progression and not in arithmetic progression.
Hence the answer is 2,4,6,8  

3)Find the sum of the first 14 terms for a sequence starting with 2, ending with 120 and common difference 2
    Choices : a)845   b)854   c)800

    Correct Answer: b)854

    Reason: By applying the formula Sum to n no of terms = Sn = n/2(a + l) where a is the first number and l is the last number of the series, we can get the answer 854.

4) Find the difference between last and last but one term in the   Sequence 1, 9, 17, 25… which has 40 terms in total

     Choices: a)8   b)16   c)24

     Correct Answer: a)8

     Reason: Since the sequence is in an arithmetic progression the difference between any two successive terms is always the same as the difference between any other two successive terms.
Hence correct answer is 8.

5) Find the 7th term in the series 4,8,16…
    Choices: a)512   b)256   c)64

    Correct Answer: b)256

    Reason: n th term of a geometric progression can be found by using the formula Tn = ar^n-1. In the given series a = 4, r = 2 and n = 2. Hence T7 = 4 X 26 = 256
The correct answer is 256

6) Find the sum of the first 5 terms in 3,9,27

     Choices: a)363 b)121 c)242

     Correct Answer: a)363

     Reason: Sum to n no of terms in a geometric progression is S_n = a(1 - rⁿ)/(1-r) . Applyting a = 3, n = 5 and r = 3 we get S₅ = 3(1 - 3 ⁵)/(1 - 3) = 363. Hence the correct answer is 363.

7) Find the odd man out

    3,9,27
    2,4,8
    10,20,40
    1,1//2,1/4

    Choices: a)3,9,27   b) 2,4,8   c)10,20,40   d)1,1//2,1/4

    Correct Answer: d)1,1/2,1/4

    Reason: All the four sequences are in geometric progression.However the last series 1,1//2,1/4 is an infinite series.This is because the common ratio for this series, which is 1/2 is lesser than 1.
Hence the correct answer is 1,1//2,1/4