MCQ: Line Charts - 1 - SSC CGL MCQ

# MCQ: Line Charts - 1 - SSC CGL MCQ

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## 15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Line Charts - 1

MCQ: Line Charts - 1 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The MCQ: Line Charts - 1 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Line Charts - 1 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Line Charts - 1 below.
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MCQ: Line Charts - 1 - Question 1

### Direction: Two different finance companies declare fixed annual rate of interest on the amounts invested with them by investors. The rate of interest offered by these companies may differ from year to year depending on the variation in the economy of the country and the banks rate of interest. The annual rate of interest offered by the two Companies P and Q over the years are shown by the line graph provided below. Q. In 2000, a part of ₹ 30 lakhs was invested in Company P and the rest was invested in Company Q for one year. The total interest received was ₹ 2.43 lakhs. What was the amount invested in Company P?

Detailed Solution for MCQ: Line Charts - 1 - Question 1

Let ₹ x lakhs be invested in Company P in 2000, the amount invested in Company Q in 2000 = ₹ (30 - x) lakhs.
Total interest received from the two Companies after 1 year
= ₹ [(7.5% of x) + {9% of (30 - x)}] lakhs

MCQ: Line Charts - 1 - Question 2

### Direction: Two different finance companies declare fixed annual rate of interest on the amounts invested with them by investors. The rate of interest offered by these companies may differ from year to year depending on the variation in the economy of the country and the banks rate of interest. The annual rate of interest offered by the two Companies P and Q over the years are shown by the line graph provided below. Q. If two different amounts in the ratio 8:9 are invested in Companies P and Q respectively in 2002, then the amounts received after one year as interests from Companies P and Q are respectively in the ratio?

Detailed Solution for MCQ: Line Charts - 1 - Question 2

Let the amounts invested in 2002 in Companies P and Q be ₹ 8x and ₹ 9x respectively.
Then, interest received after one year from Company P = ₹ (6% of 8x)

and interest received after one year from Company Q = ₹(4% of 9x)

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MCQ: Line Charts - 1 - Question 3

### Direction: Two different finance companies declare fixed annual rate of interest on the amounts invested with them by investors. The rate of interest offered by these companies may differ from year to year depending on the variation in the economy of the country and the banks rate of interest. The annual rate of interest offered by the two Companies P and Q over the years are shown by the line graph provided below. Q. An investor invested ₹ 5 lakhs in Company Q in 1996. After one year, the entire amount along with the interest was transferred as investment to Company P in 1997 for one year. What amount will be received from Company P, by the investor?

Detailed Solution for MCQ: Line Charts - 1 - Question 3

Amount received from Company Q after one year on investment of ₹ 5 lakhs in the year 1996

= ₹ [5 + (6.5% of 5)] lakhs

=₹ 5.325 lakhs.

Amount received from Company P after one year on investment of ₹ 5.325 lakhs in the year 1997

= ₹ [5.325 + (9% of 5.325)] lakhs

= ₹ 5.80425 lakhs

₹ 5,80,425.

MCQ: Line Charts - 1 - Question 4

Direction: Two different finance companies declare fixed annual rate of interest on the amounts invested with them by investors. The rate of interest offered by these companies may differ from year to year depending on the variation in the economy of the country and the banks rate of interest. The annual rate of interest offered by the two Companies P and Q over the years are shown by the line graph provided below.

Q. An investor invested a sum of ₹ 12 lakhs in Company P in 1998. The total amount received after one year was re-invested in the same Company for one more year. The total appreciation received by the investor on his investment was?

Detailed Solution for MCQ: Line Charts - 1 - Question 4

Amount received from Company P after one year (i.e., in 199) on investing ₹ 12 lakhs in it

= ₹ [12 + (8% of 12)] lakhs

= ₹ 12.96 lakhs.

Amount received from Company P after one year on investing ₹ 12.96 lakhs in the year 1999

= ₹ [12.96 + (10% of 12.96)] lakhs

= ₹ 14.256.

Appreciation received on investment during the period of two years

= ₹ (14.256 - 12) lakhs

= ₹ 2.256 lakhs

₹ 2,25,600.

MCQ: Line Charts - 1 - Question 5

Direction: Two different finance companies declare fixed annual rate of interest on the amounts invested with them by investors. The rate of interest offered by these companies may differ from year to year depending on the variation in the economy of the country and the banks rate of interest. The annual rate of interest offered by the two Companies P and Q over the years are shown by the line graph provided below.

Q. A sum of ₹ 4.75 lakhs was invested in Company Q in 1999 for one year. How much more interest would have been earned if the sum was invested in Company P?

Detailed Solution for MCQ: Line Charts - 1 - Question 5

Difference = ₹ [(10% of 4.75) - (8% of 4.75)] lakhs

= ₹ (2% of 4.75) lakhs

= ₹ 0.095 lakhs

= ₹ 9500.

MCQ: Line Charts - 1 - Question 6

Study the following line graph and answer the questions.

Q. Average annual exports during the given period for Company Y is approximately what percent of the average annual exports for Company Z?

Detailed Solution for MCQ: Line Charts - 1 - Question 6

Analysis of the graph: From the graph It is clear that
1. The amount of exports of Company X (in crore Rs.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 30, 60, 40, 70, 100, 50 and 120 respectively.
2. The amount of exports of Company Y (in crore Rs.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 80, 40, 60, 60, 80, 100 and 140 respectively.
3. The amount of exports of Company Z (in crore Rs.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 60, 90„ 120, 90, 60, 80 and 100 respectively.
Average annual exports (in Rs. crore) of Company Y during the given period

Average annual exports (in Rs. crore) of Company Z during the given period

MCQ: Line Charts - 1 - Question 7

Study the following line graph and answer the questions.

Q. For which of the following pairs of years the total exports from the three Companies together are equal?

Detailed Solution for MCQ: Line Charts - 1 - Question 7

Total exports of the three Companies X, Y and Z together, during various years are:

In 1993 = Rs. (30 + 80 + 60) crores = Rs. 170 crores.

In 1994 = Rs. (60 + 40 + 90) crores = Rs. 190 crores.

In 1995 = Rs. (40 + 60 + 120) crores = Rs. 220 crores.

In 1996 = Rs. (70 + 60 + 90) crores = Rs. 220 crores.

In 1997 = Rs. (100 + 80 + 60) crores = Rs. 240 crores.

In 1998 = Rs. (50 + 100 + 80) crores = Rs. 230 crores.

In 1999 = Rs. (120 + 140 + 100) crores = Rs. 360 crores.

Clearly, the total exports of the three Companies X, Y and Z together are same during the years 1995 and 1996.

MCQ: Line Charts - 1 - Question 8

Study the following line graph and answer the questions.

Q. What was the difference between the average exports of the three Companies in 1993 and the average exports in 1998?

Detailed Solution for MCQ: Line Charts - 1 - Question 8

Average exports of the three Companies X, Y and Z in 1993

Average exports of the three Companies X, Y and Z in 1998

MCQ: Line Charts - 1 - Question 9

Study the following line graph and answer the questions.

Q. In how many of the given years, were the exports from Company Z more than the average annual exports over the given years?

Detailed Solution for MCQ: Line Charts - 1 - Question 9

Average annual exports of Company Z during the given period

From the analysis of graph the exports of Company Z are more than the average annual exports of Company Z (i.e., Rs. 85.71 crores) during the years 1994, 1995, 1996 and 1999, i.e., during 4 of the given years.

MCQ: Line Charts - 1 - Question 10

Study the following line graph and answer the questions.

Q. In which year was the difference between the exports from Companies X and Y the minimum?

Detailed Solution for MCQ: Line Charts - 1 - Question 10

The difference between the exports from the Companies X and Y during the various years are:

In 1993 = Rs. (80 - 30) crores = Rs. 50 crores.

In 1994 = Rs. (60 - 40) crores = Rs. 20 crores.

In 1995 = Rs. (60 - 40) crores = Rs. 20 crores.

In 1996 = Rs. (70 - 60) crores = Rs. 10 crores.

In 1997 = Rs. (100 - 80) crores = Rs. 20 crores.

In 1998 = Rs. (100 - 50) crores = Rs. 50 crores.

In 1999 = Rs. (140 - 120) crores = Rs. 20 crores.

Clearly, the difference is minimum in the year 1996.

MCQ: Line Charts - 1 - Question 11

Direction: Study the following line graph which gives the number of students who joined and left the school in the beginning of year for six years, from 1996 to 2001.

Q. For which year, the percentage rise/fall in the number of students who left the school compared to the previous year is maximum?

Detailed Solution for MCQ: Line Charts - 1 - Question 11

The percentage rise/fall in the number of students who left the school (compared to the previous year) during various years are:

Clearly, the maximum percentage rise/fall is for 1997.

MCQ: Line Charts - 1 - Question 12

Direction: Study the following line graph which gives the number of students who joined and left the school in the beginning of year for six years, from 1996 to 2001.

Q. The number of students studying in the school in 1998 was what percent of the number of students studying in the school in 2001?

Detailed Solution for MCQ: Line Charts - 1 - Question 12

= 93.75%

MCQ: Line Charts - 1 - Question 13

Direction: Study the following line graph which gives the number of students who joined and left the school in the beginning of year for six years, from 1996 to 2001.

Q. The strength of school increased/decreased from 1997 to 1998 by approximately what percent?

Detailed Solution for MCQ: Line Charts - 1 - Question 13

Before solving the questions, we shall analyse the graph:

From the graph it is clear that:

In 1996 : Number of students left = 250 and number of students joined = 350.

In 1997 : Number of students left = 450 and number of students joined = 300.

In 1998 : Number of students left = 400 and number of students joined = 450.

In 1999 : Number of students left = 350 and number of students joined = 500.

In 2000 : Number of students left = 450 and number of students joined = 400.

In 2001 : Number of students left = 450 and number of students joined = 550.

Therefore, the numbers of students studying in the school (i.e., strength of the school) in various years:

In 1995 = 3000 (given).

In 1996 = 3000 - 250 + 350 = 3100.

In 1997 = 3100 - 450 + 300 = 2950.

In 1998 = 2950 - 400 + 450 = 3000.

In 1999 = 3000 - 350 + 500 = 3150.

In 2000 = 3150 - 450 + 400 = 3100.

In 2001 = 3100 - 450 + 550 = 3200.

Percentage increase in the strength of the school from 1997 to 1998

MCQ: Line Charts - 1 - Question 14

Direction: Study the following line graph which gives the number of students who joined and left the school in the beginning of year for six years, from 1996 to 2001.

Q. The number of students studying in the school during 1999 was?

Detailed Solution for MCQ: Line Charts - 1 - Question 14

As calculated above, the number of students studying in the school during 1999
= 3150

MCQ: Line Charts - 1 - Question 15

Direction: Study the following line graph which gives the number of students who joined and left the school in the beginning of year for six years, from 1996 to 2001.

Q. The ratio of the least number of students who joined the school to the maximum number of students who left the school in any of the years during the given period is?

Detailed Solution for MCQ: Line Charts - 1 - Question 15

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## Quantitative Aptitude for SSC CGL

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