GATE Questions

---

The given series 16, 254, 1296, 4096, 10000 follows a pattern that

24, 44, 64, 84, 104,...

Hence, the odd man in the series is 4 x 4 x 4 x 4 = 256 not 254.

The series follows the following pattern.

4

16 = 42

37 = 12+62

58 = 32+72

81 ≠52+82.

Here every number is based on the digits of previous number. Hence, 81 is the wrong number in the given series.

Here the first two words are synonyms. Similarly, Eyrie means a large nest. So, the synonym of Eyrie is nest.

Hence, Convent : Cloister :: Eyrie : Nest.

Steps for merging cells :

1. Select which you want to merge

2. After selecting right click on that highlightened cells to get format cells option.

3. Click format cells to merge get merge option.

Next number of the sequence 1, 4, 12, 32,...

1 = 2 x 20

4 = 2 x 21

12 = 3 x 22

32 = 4 x 23

80 = 5 x 24.

16x + 85 = 17(x + 3)

x = 34 + 3 = 37

Here the given number series 625, 625, 600, ?, 475, 875 follows a pattern that

625

625 + (0 x 0) = 625

625 - (5 x 5) = 625 - 25 = 600

600 + (10 x 10) = 600 + 100 = 700

700 - (15 x 15) = 700 - 225 = 475

475 + (20 x 20) = 475 + 400 = 875

Hence, the missing number in the given number series is 700.

Here the relation in the given words is, First is the process of formation of the second.

That is, when anything melts, it forms liquid. Similarly, when anything freezes it forms solid.

Hence, Melt : Liquid :: Freeze : Solid.