# Bar Charts Questions Answers

1) What is the difference between the production of Company Z in 1998 and Company Y in 1996

- 1) 10,00,000 tonnes
- 2) 15,00,000 tonnes
- 3) 20,00,000 tonnes
- 4) 25,00,000 tonnes

**Ans.**C

**Explanation :**

As per bar chart, Difference will be [45-25]*100000 = 20,00,000 tonnes Please note: we multiplied it by 100000, because graph is given in 'lakh' tonnes

2) What is the ratio of the average production of Company X in the period 1998-2000 to the average production of company Y in the same peri

- 1) 23:25
- 2) 24:27
- 3) 25:26
- 4) 27:29

**Ans.**A

**Explanation :**

Average production of Company X in the period 1998-2000 \begin{aligned} = \left[ \frac{1}{3}*(25+50+40) \right] \= \left(\frac{115}{3} \right) \text{lakh tonnes} \\end{aligned} Average Production of company Y in the period 1998-2000 \begin{aligned} = \left[ \frac{1}{3}*(35+40+50) \right] \= \left(\frac{125}{3} \right) \text{lakh tonnes} \\text{Required Ratio =} \\frac{\frac{115}{3}}{\frac{125}{3}} \= \frac{115}{125} \= \frac{23}{25} \= 23:25 \end{aligned}

3) What is the percentage increase in the production of Company Y from 1996 to 1999

- 1) 40%
- 2) 50%
- 3) 55%
- 4) 60%

**Ans.**D

**Explanation :**

To get the percentage increase in the something, we have to first get the difference between the final value and initial value, then we can get the calculate that difference is what percentage of 'initial value' So lets solve it, Percentage increase in the production of Company Y from 1996 to 1999 \begin{aligned} =\left[ \frac{40-25}{25}*100 \right]\% \=\left[ \frac{15}{25}*100 \right]\% \= 60 \% \end{aligned}

4) The average production for five years was maximum for which Company

- 1) X
- 2) Y
- 3) Z
- 4) X and Z

**Ans.**D

**Explanation :**

Average production in (lakh tonnes) for three companies are: Company X = (1/5)(30+45+25+50+40) = 190/5 = 38 Similarly for Y it is 37 and for Z it is 38 So for X and Z it is equal and maximum

5) For which of the following years, the percentage rise/fall in production from the previous years in maximum for Company Y

- 1) 2000
- 2) 1999
- 3) 1997
- 4) 1998

**Ans.**C

**Explanation :**

Percentage change(rise/fall) in the production of Y in comparison to the previous year, for different years are: \begin{aligned} \text{for 1997 =}\left[\frac{(35-25)}{25}*100 \right] \= 40 \% \ \text{for 1998 =}\left[\frac{(35-35)}{35}*100 \right] \= 0 \% \ \text{for 1999 =}\left[\frac{(40-35)}{35}*100 \right] \= 14.29 \% \ \text{for 2000 =}\left[\frac{(50-40)}{40}*100 \right] \= 25 \% \ \end{aligned} So maximum percentage is for year 1997

6) In which year the percentage of production of Company Z to the production of company Y is maximum

- 1) 1998
- 2) 1996
- 3) 2000
- 4) 1999

**Ans.**B

**Explanation :**

The percentages of production of Company Z to the production of Company Y in various years is as: Note: Small thing which should always be taken care of, is to find percentage of which company to which company, I mean the order. As in this question Company Z to the Company Y. So lets solve it, \begin{aligned} \text{for 1996 =}\left(\frac{35}{25}*100 \right)\% \= 140\% \\text{for 1997 =}\left(\frac{40}{35}*100 \right)\% \= 114.29\% \\text{for 1998 =}\left(\frac{45}{35}*100 \right)\% \= 128.57\% \\text{for 1999 =}\left(\frac{35}{40}*100 \right)\% \= 87.5\% \\text{for 2000 =}\left(\frac{35}{50}*100 \right)\% \= 70\% \ \end{aligned} So for 1996 the percentage is highest.

7) The foreign exchange reserves in 1997-98 was how many times that in 1994-

- 1) 1.5
- 2) 2
- 3) 3.5
- 4) 2.6

**Ans.**A

**Explanation :**

\begin{aligned} \text{Required Ratio =} \\frac{5040}{3360} = 1.5 \end{aligned}

8) What was the percentage increase in the foreign exchange reserves in 1997-98 over 1993-94

- 1) 80%
- 2) 90%
- 3) 100%
- 4) 110%

**Ans.**C

**Explanation :**

Foreign exchange reserve in 1997-98 = 5040 million US $ Foreign exchange reserve in 1993-94 = 2520 million US $ Increase = 5040 - 2520 = 2520 million US $ \begin{aligned} \text{Percentage Increase =} \\frac{2520}{2520}*100 = 100 \% \end{aligned}

9) FOr which year, the percent increase of foreign exchange reserves over the previous year is the highest

- 1) 1994-95
- 2) 1995-96
- 3) 1998-99
- 4) 1992-93

**Ans.**D

**Explanation :**

Before solving this, put a clever eye on the chart, just calculate for those years which are actually having increase if we compare to previous year. These years are 1992-93, 1994-95, 1996-97, 1997-98 So lets calculate the percentage increase of these years compared to previous years : \begin{aligned} \text{i. For year 1992-93 =}\frac{3720-2640}{2640}*100 \ = 40.91\% \\text{ii. For year 1994-95 =}\frac{3360-2520}{2520}*100 \ = 33.33\% \\text{iii. For year 1996-97 =}\frac{4320-3120}{3120}*100 \ = 38.46\% \\text{iv. For year 1997-98 =}\frac{5040-4320}{4320}*100 \\ = 16.67\% \\end{aligned}

10) The foreign exchange reserves in 1996-97 were approximately what percent of the average foreign exchange reserves over the period under review

- 1) 80%
- 2) 100%
- 3) 125%
- 4) 130%

**Ans.**C

**Explanation :**

First get the average of these 8 years. which is, 1/8(2640+3720+2520+3360+3120+4320+5040+3120) = 3480 million US $ Foreign exchange reserves in 1996-97 = 4320 million US $ Required Percentage = \begin{aligned} \left( \frac{4320}{3480}*100\right)\% = 125\% \end{aligned}