QUANTITATIVE APTITUDE - FOR UPCOMING EXAMINATION

Directions (Q. 1-5): What value should come in the place of question mark (?) in the following equations :

1). (4.913)^2/3 ÷ 2.89 × (8.3521)^-1.2 = (1.7)^?

a)    3.2

b)    -4.8

c)    1.2

d)    -4.2

e)    2.4

2). [(21/34) of √(4624) ] ÷ 0.6 ?

a)    60

b)    64

c)    70

d)    72

e)    84

3). 0.78 + ? × 72 = 13.74

a)    1.2

b)    0.96

c)    0.8

d)    0.24

e)    0.18

4). [(546)² ÷ 91] ÷ 12 = ? ÷ 8

a)    2104

b)    2136

c)    2168

d)    2184

e)    2196

5). 3/7 of 5/11 2772 = 30% of?

a)    1200

b)    1500

c)    1600

d)    1800

e)    2100

Direction (Q. 6-10): Following line graph shows the ratio of imports to exports of two companies over the years :

6). In how many of the given years were the imports more than the exports in case of company - A ?

a)    5

b)    3

c)    1

d)    2

e)    4

7). If the imports of company-B in year 2011 were Rs. 51.688 lakh, then what were the exports of company-B in the same year?

a)    64.26 lakh

b)    67.54 lakh

c)    71.36 lakh

d)    73.84 lakh

e)    None of these

8). If the exports of company-A and Company-B were equal to 84 lakh in year 2012 then what will be the difference between imports of company-B and imports of company-A in that year ?

a)    9.6 lakh

b)    8.4 lakh

c)    7.2 lakh

d)    6.8 lakh

e)    5.4 lakh

9). If the exports of company-A in year 2009 and exports of company-B in year 2012 were equal then the imports of company- B in 2012 is approximately what percentage of imports of company-A in 2009 ?

a)    60%

b)    75%

c)    84%

d)    96%

e)    133.3%

10). In year 2009, If the export of company-B is increased by 100% and import is increased by 200%. Then what will be the new ratio of import to export of company-B in that year ?

a)    0.8

b)    1.0

c)    1.2

d)    0.6

e)    1.5

ANSWER 

Solution:

1). B)  (1.73)^2/3 ÷ (1.7)² × (1.74 )^–1.2

(1.7)² ÷ (1.7)² × (1.7)^–4.8  = (1.7)^2-2-4.8 = (1.7)^-4.8

? = – 4.8

2). C) [(21/34) × 68] ÷ 0.6 =  42÷ 0.6 = 70

3). E)  ? × 72 = 13.74 – 0.78 = 12.96

?= 12.96/72 = 0.18

4). D) ? ÷ 8 = [( 546 × 546)/91] ÷12 = 3276 ÷ 12 = 273

? = 273 × 8 = 2184

5). D)  (30 × ?)/100 = (3×5×2772) / (7×11) = 540

? = (540×10) / 3 = 1800

6). D)  Imports > Exports

( Import/ Exports)  > 1

(ie year 2009 and 2013)

7). D) I/E = 0.7   E = (I/0.7) = (51.688/0.7) = 73.84 lakh

8). B) I_A / E_A = 0.8 , I_A = 0.8 × 84 = 67.2 lakh

I_B/E_B = 0.9    I_B = 0.9 × 84 = 75.6 lakh

Diff = 75.6 – 67.2 = 8.4 lakh

9). B) I_A / E_A = 1.2   I_B / E_B = 0.9

Let export of ‘A’ and ‘B’ are ‘X’

I_A = 1.2 x    and I_B = 0.9 x

Req. % = (0.9x / 1.2x)×100 = 75%

10). C) I/E = 0.8

I_I = I + (200I / 100) = 3I

E_I = E + (100E / 100) = 2 E

Ratio = I_I/E_I = 3I/2E = (3/2) × 0.8 = 1.2