**Directions(1-5):** Find the missing term of the following series.

- 38,42,50,66,98,?
145112162130125Option C

38,42,50,66,98,?

+4

+8

+16

+32

+64

? = 162 - 32,49,83,134,?,287
189194156202180Option D

32,49,83,134,?,287

32+ 17*1 = 49

49+17*2 = 83

83+17*3 = 134

134+17*4 = 202

202+17*5 = 287 - 120, 15, 105, 17.5, 87.5, ?
21.87517.20123.15225.12011.521Option A

120, 15, 105, 17.5, 87.5, ?

120 / 8 = 7

15 × 7 = 105

105 / 6 = 17.5

17.5 × 5 = 87.5

87.5 / 4 = 21.875 - 1, 16, 81, 256, 625, 1296, ?
20502401220018551404Option B

1, 16, 81, 256, 625, 1296, ?

1 = l^4 16 = 2^4

81 = 3^4 256 = 4^4

625 = 5^4 1296 = 6^4

? = 7^4 = 7 × 7 × 7 × 7 = 2401 - 286, 142, ?, 34, 16, 7
6055627068Option D

286, 142, ?, 34, 16, 7

286/2 – 1 = 143 – 1 = 142

142/2 – l = 71 – l = 70

70/2 – 1 = 35 – 1 = 34

34/2 – 1 = 17- 1 = 16

16/2 – 1 = 7 - An amount of Rs. 16600 is divided equally and each is invested at two different rates of interest. The difference between the interests got after 4 year is Rs. 700. What is the difference between the rates of interest?
4.2%3.5%3.13%2.10%1.5%Option D

Let the 2 different rates be x and y respectively. Difference between the interests is Rs 700.

= [8300 × 𝑥 × 4]/100 – [8300 × 𝑦 × 4]/ 100 = 700

= 33200x-33200y =700×100

= 33200(x – y) = 70000

x-y = 2.10% - Mrs. Mary decided to distribute pens among A,B,C and D in the ratio 3:4:6:5 resp. But mistakenly she distributed pens among them in the ratio of 5:8:4:7 resp., So, A and B got 3 and 8 pens more resp. The number of pens received by D is what % more than the number of pens she was expected to receive ?
10%9%7%8%5%Option E

Number of pens expected to receive by A,B,C and D = 3x,4x,6x and 5x.

Number of pens received by A,B,C and D = 5x,8x,4x and 7x.

ATQ, 8y – 4x = 8 And 5y – 3x = 3

Solving both the equations,we get x = 4 and y = 3

Number of pens expected to receive by D = 5*4 = 20

Number of pens received by D = 7*3 = 21

Required% = (21-20)/20*100% = 5% - In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, find the no of questions he attempts correctly.
2538454030Option B

Let the number of correct answers be X.

Number of incorrect answers = (60 – X).

4x – (60 – x) = 130

=> 5x = 190

=> x = 38 - A train travelling at a speed of 75 mph enters a tunnel 3(1/2) miles long. The train is 1/4mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
2 min.3 min.6 min.4min.5 min.Option B

Total distance covered = (7/2 + 1/4) miles

= 15/4 miles

Time taken = (15/4*75)hrs. = 1/20 hrs.= (1/20*60)min. = 3 min. - In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?
500680610720700Option D

We have to arrange the letters PTCL (OIA).

Now, 5 letters can be arranged in 5! = 120 ways.

The vowels (OIA) can be arranged among themselves in 3! = 6 ways.

Required number of ways = (120 x 6) = 720