Quiz-1

(1050 – 30)/2 = 510

(510 – 26)/2 = 242

(242 – 22)/2 = 110

(110 – 18)/2 = 46

(46 – 14)/2 = 16

(16 – 10)/2 = 3

∴ 106 is the odd number in the series.

110 should be there in place of 106.

⇒ 222 = 63 + 6

⇒ 350 = 73 + 7

⇒ 520 = 83 + 8

⇒ ? = 93 + 9

⇒ ? = 729 + 9

⇒ ? = 738

We have the terms of the given series as

⇒ 21 – 1 = 1

⇒ 22 – 1 = 3

⇒ 23 – 1 = 7

⇒ 24 – 1 = 15

⇒ 25 – 1 = 31

⇒ ? = 26 – 1 = 63

5-1=4 13-5=8 25-13=12 So, 41-25=16 ans- 41

Analysing the sequence it can be easily seen that the next number has an increasing difference which is two more than the difference between the last two no's of the sequence

i.e.

3 -1 = 2

the next difference = 2 + 2 = 4

⇒ 3 + 4 = 7

the next difference = 4 + 2 = 6

⇒ 7 + 6 = 13

the next difference = 6 + 2 = 8

⇒ 13 + 8 = 21

the next difference = 8 + 2 = 10

⇒ 21 + 10 = 31

the next difference = 10 + 2 = 12

⇒ 31 + 12 = 43

We have the terms of the given series formed as

⇒15 = 3 × 5

⇒? = 15 + 2 = 17

⇒51 = 17 × 3

⇒53 = 51 + 2

⇒159 = 53 × 3

⇒161 = 159 + 2

Here, two alternate series are going together with the pattern given below

7 = 3 × 2 + 1

45 = 22 × 2 + 1

15 = 7 × 2 + 1

31 = 15 × 2 + 1

∴ The number in the place of question mark = 45 × 2 + 1 = 91

Here, two alternate series are going together with the pattern given below

7 = 3 × 2 + 1

26 = 12 × 2 + 2

15 = 7 × 2 + 1

So by observing above pattern the next number is 26 × 2 + 2

= 54

We observe that every second number is double the previous number.

∴ 2 = 1 × 2

3 = 2 + 1

6 = 3 × 2

7 = 6 + 1

14 = 7 × 2

15 = 14 + 1

30 = 15 × 2

So, the number in place of question mark = 15

Here the numbers in the odd places are 5, 12, 26, 47, ?

12 = 5 + 7 × 1

26 = 5 + 7 × 1 + 7 × 2

47 = 5 + 7 × 1 + 7 × 2 + 7 × 3

So the number in place of question mark is 5 + 7 × 1 + 7 × 2 + 7 × 3 + 7 × 4

= 75