Free Basic DI - 03 Practice Test - CAT 

Amount invested by B, C, D and E in year 1 = 5 + 6 + 4 + 11 = 26

Amount invested by B, C, D and E in year 3 = 19 + 21 + 8 + 30 = 78

Percentage increase = $\frac{78-26}{26}\times 100$ = 200%. option (b)

E’s investment for years 1 to 3 = 11 + 18 + 30 = 59

F’s investment for years 1 to 3 = 8 + 25 + 60 = 93

Ratio = 59: 93 

The ratio of imports to exports for the years 1998 and 1999 are 1.25 and 1.40 respectively.

Let the exports in the year 1998 = Rs. x crores.

Then, the exports in the year 1999 = Rs. (500 - x) crores.

$\therefore$ 1.25  = $\frac{250}{x}$ $\Rightarrow$ x = $\frac{250}{1.25}$ = 200 [Using ratio from 1998]

Thus, the exports in the year 1999 = Rs. (500 - 200) crores = Rs. 300 crores.

Let the imports in the year 1999 = Rs. y crores.

Then, 1.40 = $\frac{y}{300}$
y = (300 $\times$ 1.40) = 420.

$\therefore$ Imports in the year 1999 = Rs. 420 crores

Let the total value of exports for both years be 100.

Then value of imports for 1999 = 140

Value of imports for 2000 = 95

So percentage change = $\left(\frac{140-95}{140}\right)$ $\times$ 100 = 32.14%

Option A. We can conclude form the given table that the ratio of number of products produced by Samsung to the number of mobiles sold in the market in the year 2010 is 1:1..

Option B.

From the given table ratio is 1:75.

Option D.

We can easily conclude from the above table the total number of Samsung products in all the years put together is 32,00,0000..

Average silver price in 2008 = 15,400 – 11,800 = 3,600

Average silver price in 2012 = 31,300 – 25,700 = 5,600

$\frac{5,600-3,600}{3,600}\times \frac{100}{4}$= 13.89% ~ 14% (approx.)

Average price of gold in 2008 = 11,800

Average price of gold in 2009 =14,600

Average price of gold in 2010 =19,000

The growth rate of 2009 (over 2008) for gold =$\frac{14,600-11,800}{11,800}$ = $\frac{2,800}{11,800}$ $\times$ 100 = 23.7%

The growth rate of 2010 (over 2009) for gold = $\frac{19,000}{14,600}$ = $\frac{4,400}{14,600}$ $\times$ 100= 30.1%

Required change = $\frac{30.1-23.7}{23.7}$ $\times$ 100 = 27%.

Required answer = $\frac{15400+18600+23800+28200+31300}{5}$ = $\frac{117300}{5}$ = 23460.

Let total population of Delhi is 100.
Number of teachers = 15 and number of engineers = 30
Number of engineers in the age group (31-40) = $\frac{30}{4}$(since 90 = $\frac{360}{4}$); Ratio = 2:1.

Number of engineers in age group (31-40)= 30. Total number of engineers(30%) = 120.

Bankers (25%) = 100.

From the given information we can not find out exact number of lawyers.

Just after 2002, the coal production in China starts growing exponentially. This growth continues till 2010. For all other periods, there is slow growth. Thus the period 2005-2010 is the most suitable answer.

Production in 1981= 0.6 bn tones

Production in 2010= 3.24 bn tones

Factor of Multiplication = $\frac{3.25}{0.6}$ $\approx$ 5.5

Hence, percentage increase= (FOM-1)$\times$100$\approx$450%