**Direction (Q. 1-5): In each of these questions a number series is given. In each series only one number is wrong. Find out the wrong number.**

**1**

**). 4, 12, 42, 196, 1005, 6066, 42511**

a) 12

b) 42

c) 196

d) 1005

e) 6066

**2). 7, 13, 25, 49, 97, 194, 385**

a) 13

b) 25

c) 49

d) 194

e) 385

**3). 10, 15, 24, 35, 54, 75, 100**

a) 10

b) 24

c) 35

d) 54

e) 100

**4). 2, 8, 32, 148, 765, 4626, 32431**

a) 32431

b) 765

c) 148

d) 32

e) 2

**5). 73, 57, 49, 44, 43, 42**

a) 73

b) 57

c) 49

d) 44

e) 42

**6). Salary of B is 20% less than salary of A by how much percentage salary of A is more than that of B?**

a) 30%

b) 80%

c) 25%

d) 15%

e) None of these

**7). In an examination, the marks obtained by Priya is 40% less than the marks obtained by Rithi, then marks obtained by Rithi is how much percent more than the marks obtained by Priya?**

a) 66 2/3%

b) 33 3/4%

c) 44 1/3%

d) 55 2/3%

e) None of these

**8). Asha and Nisha spent 60% and 75% ofb their respective monthly salaries. Nisha kept 60% of remaining as savings and gave the remaining rupees 2100 to her sister. What was the Asha’s monthly expenditure if her monthly salary was 25% less than that of Nisha?**

a) 2750

b) 10,450

c) 20,000

d) 9,450

e) None of these

**9). The one side of a square is increased by 30%. To maintain the same area, the other side of the square will have to be decreased by what percent?**

a) 23 1/13%

b) 24 1/13%

c) 25%

d) 30%

e) 15 1/13%

**10). When the price of sugar decreases by 10%, a man could buy 1 kg more for 300. Then the original price of sugar per kg is?**

a) 25

b) 22

c) 35

d) Can’t be determined

e) None of these

__Answers:__**1)b 2)d 3)c 4)d 5)d 6)c 7)a 8)d 9)a 10)e**

__Solution:__**1). b)**

4, 12, 42, 196, 1005, 6066, 42511

4à× 2+(2)

^{2}= 1212à× 3+(3)

^{2}= 4545à× 4+(4)

^{2}= 196196à× 5+(5)

^{2}= 10051005à× 6+(6)

^{2}= 60666066à× 7+(7)

^{2}= 42511Hence, 42 is the wrong number

**2). d)**

7, 13, 25, 49, 97, 194, 385

7à × 2 -1= 13

13à× 2 -1= 25

25à × 2 -1= 49

49à× 2 -1= 97

97à × 2 -1= 193

193à× 2 -1= 385

Hence, 194 is the wrong number

**3). c)**

10, 15, 24, 35, 54, 75, 100

Hence, 35 is the wrong number

**4). d)**

2, 8, 32, 148, 765, 4626, 32431

2 × 2+2

^{2}= 83 × 8+3

^{2}= 334 × 33+4

^{2}= 1485 × 148+5

^{2}= 7656 ×765+6

^{2}= 46267 × 4626+7

^{2}=32431Hence, 32 is the wrong number.

**5). d)**

73, 57, 49, 44, 43,42

73-57= 16

57-49=8

49-45= 4

45-43= 2

43-42=1

Differences between the consecutive numbers are in Geometric Progression (G.P)

Hence, 44 is the wrong number.

**6). c)**

Required percentage= 20 / (100- 80) ×100% = 25%

**7). a)**

Required percentage= [40 / (100-40)] × 100% =(40/60) × 100% = 66 2/3%.

**8). d)**

Let Nisha salary be 100,

à Remaining after expenditure = 25

Nisha’s savings = 60% of 25 =(60/100) × 25=15

She gave 2100 to her sister, so 25-15= 10

10% = 2100

∴ 100% =21000 (Nisha’s salary)

Asha’s salary = 75 % 21000 (since, 25% less than Nisha’s salary )

= 15750

∴ Asha’s expenditure= 60% of 15750 = 9,450

**9). a)**

Let sides of the square be a& b,

à ‘a’ is increased by 30%, the other side ‘b’ is decreased by = 30+ b+ (30b/100) = 0

= 130b / 100 = 30

B = 23 1/13%

**10). e)**

Original price of the sugar = (10 × 300) / [(100 – 10) × 1] = (10×300) / (90×1) = 33.34