QUANTITATIVE APTITUDE (MIX QUIZ)  FOR UPCOMING EXAMINATION

1). 5, 12, 33, 136, 675, ?

a)   5569

b)   4426

c)   5046

d)   4065

e)   4056

2). 2, 3, 7, 16, 32, ?

a)   57

b)   59

c)   56

d)   60

e)   75

3). 14, 7, 7, 14, 56, ?

a)   158

b)   184

c)   484

d)   884

e)   448

4). 11, 13, 20, 48, 111, ?

a)   237

b)   125

c)   273

d)   255

e)   555

5). 4500, 900, 90, 6, ?, 0.012.

a)   0.3

b)   3

c)   3.33

d)   0.33

e)   3.3

6). The average of the test scores of a class of 'x' students is 80 and that of 'y' student is 94. When the scores of both the classes are combined, the average becomes 86. What is the ratio of x to y?

a)   6 : 5 

b)   5 : 4 

c)   4 : 3 

d)   7 : 6 

e)   3 : 2

7). At present Manorama is six times older than her son's age. Seven years hence, the ratio of their ages will be 11:3. What is Manorama's present age?

a)   42 years 

b)   54 years 

c)   63 years 

d)   36 years 

e)   48 years

8). A man was engaged on a job for 40 days on the condition that he will get a wage of Rs. 180 for the day he works, but he will have to pay a fine of Rs. 20 for each day of his absence. If he gets Rs. 520 at the end of the month, then, he was absent for how many days?

a)   12 days 

b)   10 days 

c)   6 days 

d)   8 days 

e)   14 days

9). In 165 litres of mixtures of milk and water, water is only 28%. The milkman sold 40 litres of this mixture and then he added 30 litres of pure milk and 13 litres of pure water in the remaining mixture. What is the percentage of water in the final mixture?

a)   29.35% 

b)   28. 57% 

c)   24. 57% 

d)   27. 75% 

e)   26. 57%

10). Anil and Deepak started a business by investing Rs. 24000 and Rs. 36000 respectively. At the end of 5th month from the start of the business, Sohan joined them with Rs. 16000. At the end of 7th month Deepak quits, at that time Sohan invests Rs. 4000 more. At the end of 10th month, Deepak rejoins with the same investment. If the profit at the end of the year is Rs. 26164, what is Deepak's share of profit?

a)   Rs. 10894 

b)   Rs. 10394 

c)   Rs. 10000 

d)   Rs. 11394 

e)   Rs. 11000

In each of the following questions, two equations are given. You have to solve them and give answer

11)

Ⅰ. 4x + 7y = 42                              

Ⅱ. 3x – 11y = -1
a)    x > y
b)    x ≥ y
c)    x < y
d)    x ≤ y
e)    x = y or relationship cannot be established

12.)

Ⅰ. x2 + 14x + 49 = 0                    

Ⅱ. y2 + 9y = 0
a)    x > y
b)    x ≥ y
c)    x < y
d)    x ≤ y
e)    x = y or relationship cannot be established

13)

Ⅰ. 3x2 - 4x - 32 = 0                      

Ⅱ. 2y2 + 5y – 3 = 0
a)    x > y
b)    x ≥ y
c)    x < y
d)    x ≤ y
e)    x = y or relationship cannot be established

14)

Ⅰ. 9x2 - 29x + 22 = 0                    

Ⅱ. 7y2 - 7y – 12 = 0
a)    x > y
b)    x ≥ y
c)    x < y
d)    x ≤ y
e)    x = y or relationship cannot be established

15)

Ⅰ. x2 + 14x + 49 = 0                      

Ⅱ. 2y2 - 17y + 36 = 0
a)    x > y
b)    x ≥ y
c)    x < y
d)    x ≤ y
e)    x = y or relationship cannot be established

What should come in the place of question mark (?) in the following questions?

16 ). 3√13824 + √1849 = 3√9261 + √?

a)    1256
b)    1936
c)    2116
d)    2456
e)    2216

17). (0.8) / (0.2)2 × (0.6)2 = (2.4)2 × ?

a)    1.8
b)    1.4
c)    1.25
d)    1.6
e)    2.6

18). 7654.32 + 8962.81 + 3432.12 – 512.32 + 212.82 + 316.84 = ?

a)    20056.49
b)    20046.79
c)    20065.49
d)    20066.59
e)    20062.59

19). 812 + 912 + 516 + 241 + 346 + 329 = 12 × ?

a)    263
b)    265
c)    326
d)    363
e)    236

20). 4√1296 + 4√2401 + 4√6561 - 4√256 = ?

a)    14
b)    18
c)    22
d)    16
e)    15




ANSWER 

1) Answer: e) 4056

5, 12, 33, 136, 675, ?

5 * 2 + 2 = 12

12 * 3 - 3 = 33

33 * 4 + 4 = 136

136 * 5 - 5 = 675

675 * 6 + 6 = 4056

2) Answer: a) 57

2 + 1² = 3

3 + 2² = 7

7 + 3² = 16

16 + 4² = 32

32 + 5² = 57

3) Answer: e) 448      

14 x 0.5 = 7

7 x 1 = 7

7 x 2 = 14

14 x 4 = 56

56 x 8 = 448

4) Answer: a) 237

11 + (1³ + 1) = 11 + 2 = 13

13 + (2³ - 1) = 13 + 7 = 20

20 + (3³ + 1) = 20 + 28 = 48

48 + (4³ - 1) = 48 + 63 = 111

111 + (5³ + 1) = 111 + 126 = 237

5) Answer: a) 0.3

4500/5 = 900

900/10 = 90

90/15 = 6

6/20 = 0.3

0.3/25 = 0.012

6) Answer: c)    

(80x + 94y)/(x + y) = 86

80x + 94y = 86x + 86y

8y = 6x

x/y = 8/6 = 4/3 = 4 : 3

7) Answer: e)

Let Manorama son’s age be x years

Manorama’s age = 6x

(6x + 7)/(x + 7) = 11/3

18x + 21 = 11x + 77

7x = 56

x = 8

Manorama’s present age = 6x = 48 years

8) Answer: b)

Let the number of days he was absent be x days.

180 (40 – x) – 20 x = 5200

7200 – 180x – 20x = 5200

7200 – 200x = 5200

x = 2000/20 = 10 days

9) Answer: b)

Now, milkman sold 40 litre of mixture

So, remaining mixture = 165 – 40 = 125 litre

Quantity of water = 125 × 28/100 = 35 litre

Quantity of milk = 90 litre.

Now, milkman made new mixture in which

water = 35 + 13 = 48 litre

milk = 90 + 30 = 120 litre

Percentage of water in the new mixture

= 48/(48 + 120) * 100 = 28.57%

10) Answer: d)

Ratio of profit Anil, Deepak and Sohan

= 24000 × 12 : 36000 × 7 + 36000 × 2 : 7 × 16000 + 4000

× 5

= 288 : 324 : 132

= 72 : 81 : 33

= 24 : 27 : 11

Deepak’s share of profit = 27/62 * 26164 = Rs. 11,394

11) a

From Eq Ⅰ and Ⅱ
y = 2
x = 7
x > y

12) e

Ⅰ. x2 + 7x + 7x + 49 = 0
x (x + 7) + 7 (x + 7) = 0
x = -7, -7
Ⅱ. y ( y + 9) = 0
y = 0, -9
Relation can’t be established

13) e

Ⅰ. 3x2 - 12x + 8x - 32 = 0
3x (x - 4) + 8 (x – 4) = 0
x =4, - (8 / 3)
Ⅱ. 2y2 +6y - y - 3 = 0
2y (y + 3) - 1 (y + 3) = 0
y = -3, (1 / 2)
Relation can’t be established

14) b

Ⅰ. 9x2 – 18 - 11x + 22 = 0
9x (x - 2) - 11 (x – 2) = 0
x =2, (11 / 9)
Ⅱ. 7y2 – 14y + 6y – 12 = 0
7y (y - 2) + 6 (y - 2) = 0
y = 2, - (6 / 7)
x ≥ y

15) c

Ⅰ. x2 + 7x + 7x + 49 = 0
x (x + y) + 7 ( x + 7) = 0
x = -7
Ⅱ. 2y2 - 8y – 9y + 36 = 0
2y (y – 4) – 9 (y – 4) = 0
y = 4, (9 / 2)
x < y

16)  c

3√13824 + √1849 = 3√9261 + √?
Or, 24 + 43 = 21 + √?
Or, √? = 67 – 21 =46
? = 2116

17) c

(0.8) ÷ (0.2)2 × (0.6)2 = (2.4)2 × ?
Or, 5.76 × ? = (0.8 / 0.04) × 0.36 = 20 × 0.36 = 7.20
? = (7.20 / 5.76) = 1.25

18) d

? = 7654.32 + 8962.81 + 3432.12 – 512.32 + 212.82 + 316.84
= 20066.59

19) a

812 + 912 + 516 + 241 + 346 + 329 = 12 × ?
Or, 3156 = 12 × ?
Or, ? = (3156 / 12) = 263

20) b

? = 4√1296 + 4√2401 + 4√6561 - 4√256
Or, ? = 6 + 7 + 9 – 4 = 18