Directions (1-5): Each question below is followed by two statements I and II. You are to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
Give answer—
(1) If the question can be answered by using statement I alone but can not be answered by statement II alone.
(2) If the question can be answered by using statement II alone but can not be answered by statement I alone.
(3) If both statements I and II together are required to answer the question.
(4) If the answer can be derived by using any of the two statements alone.
(5) If both the statements together are not sufficient to answer the question.
1. How many days will Ram take to make 150 toys?
I. Shyam takes 10 days to make 100 toys.
II. Ram and Shyam together make 150 toys in 6 days.
2. What is the rate of simple interest?
I. Simple interest is Rs 200.
II. Duration is 2 years?
3. What is the area of a circle?
I. Radius of circle is 35 cm.
II. Circumference of circle is 220 cm.
4. What is the number of boys and number of girls in a class?
I. Ratio of number of boys to number of girls is 5 :4.
II. Number of boys is 25% more than the number of girls.
5. What is the present age A and B?
I. Ratio of their present ages is 3 : 1.
II. Ratio of their ages 10 years ago was 5 : 1.
Directions (6-10): Following pie-chart shows the percentage distribution of monthly budget of a family and the line graph shows the monthly expenditure (in Rs. thousands) of a family to fulfil this budget from January to June.
6. How much money they spent on food in April?
1) 11 thousand
2) 12 thousand
3) 13 thousand
4) Can’t say
5) None of these
7. What is the difference between the money they spent on education in the month of March and money they spend on housing in April?
1) 11 thousand
2) 12 thousand
3) 13 thousand
4) 14 thousand
5) None of these
8. What is the percentage rise in the money spent on other expenses from January to March?
1) 5%
2) 10%
3) 15%
4) 20%
5) 25%
9. What is the average expenditure on housing for all six months?
1) 4 thousand
2) 4.8 thousand
3) 5 thousand
4) 5.8 thousand
5) None of these
10. What is the ratio of amount spent on medical in January to the amount spent on education in the month of March?
1) 1 : 3
2) 3 : 1
3) 1 : 5
4) 3 : 5
5) None of these
ANSWERS
Solutions (1-5)
1. 3;
Both statements are required.
From statement I:
Shyam makes 100/10 = 10 toys in one day.
From statement II:
Shyam and Ram make 150/6 toys in 1 day i.e. 25 toys in 1 day.
i.e. Ram alone makes 25 – 10 = 15 toys per day.
For 150 toys he will take 150/10 = 15 days.
2. 5;
Both statements are not sufficient to find the ‘r’,
Principal (A) is also required.
3. 4;
Both statements alone is sufficient.
Area = (22/7 r)^2
From statement I:
r = 35
Area = 22/7 × 35 × 35 = 3850 sq. cm.
From statement II:
2 * 22/7 *r = 220
r =110 * 7/22 = 35 cm
Area = 22/7 × 35 × 35 = 3580 sq. cm.
4. 5; Both statements together are not sufficient. Total number of students is required to find the answer.
5. 3; Both statements are required.
Solutions (6-10)
6. (5) Total money spent on food in April = 35% of 40,000 = 14,ooo
7. (1) Money spent on education in March = 15,000
Money spent on Housing in April = 4000
Difference = 11000
8. (5) Req percentage = (22.5 - 18)/18 * 100 = 4.5/18 * 100 = 25%
9. (4) Req average = 34800/6 = 5.8 thousand
10 (3) Req ratio 3: 15 = 1:5
Give answer—
(1) If the question can be answered by using statement I alone but can not be answered by statement II alone.
(2) If the question can be answered by using statement II alone but can not be answered by statement I alone.
(3) If both statements I and II together are required to answer the question.
(4) If the answer can be derived by using any of the two statements alone.
(5) If both the statements together are not sufficient to answer the question.
1. How many days will Ram take to make 150 toys?
I. Shyam takes 10 days to make 100 toys.
II. Ram and Shyam together make 150 toys in 6 days.
2. What is the rate of simple interest?
I. Simple interest is Rs 200.
II. Duration is 2 years?
3. What is the area of a circle?
I. Radius of circle is 35 cm.
II. Circumference of circle is 220 cm.
4. What is the number of boys and number of girls in a class?
I. Ratio of number of boys to number of girls is 5 :4.
II. Number of boys is 25% more than the number of girls.
5. What is the present age A and B?
I. Ratio of their present ages is 3 : 1.
II. Ratio of their ages 10 years ago was 5 : 1.
Directions (6-10): Following pie-chart shows the percentage distribution of monthly budget of a family and the line graph shows the monthly expenditure (in Rs. thousands) of a family to fulfil this budget from January to June.
6. How much money they spent on food in April?
1) 11 thousand
2) 12 thousand
3) 13 thousand
4) Can’t say
5) None of these
7. What is the difference between the money they spent on education in the month of March and money they spend on housing in April?
1) 11 thousand
2) 12 thousand
3) 13 thousand
4) 14 thousand
5) None of these
8. What is the percentage rise in the money spent on other expenses from January to March?
1) 5%
2) 10%
3) 15%
4) 20%
5) 25%
9. What is the average expenditure on housing for all six months?
1) 4 thousand
2) 4.8 thousand
3) 5 thousand
4) 5.8 thousand
5) None of these
10. What is the ratio of amount spent on medical in January to the amount spent on education in the month of March?
1) 1 : 3
2) 3 : 1
3) 1 : 5
4) 3 : 5
5) None of these
ANSWERS
Solutions (1-5)
1. 3;
Both statements are required.
From statement I:
Shyam makes 100/10 = 10 toys in one day.
From statement II:
Shyam and Ram make 150/6 toys in 1 day i.e. 25 toys in 1 day.
i.e. Ram alone makes 25 – 10 = 15 toys per day.
For 150 toys he will take 150/10 = 15 days.
2. 5;
Both statements are not sufficient to find the ‘r’,
Principal (A) is also required.
3. 4;
Both statements alone is sufficient.
Area = (22/7 r)^2
From statement I:
r = 35
Area = 22/7 × 35 × 35 = 3850 sq. cm.
From statement II:
2 * 22/7 *r = 220
r =110 * 7/22 = 35 cm
Area = 22/7 × 35 × 35 = 3580 sq. cm.
4. 5; Both statements together are not sufficient. Total number of students is required to find the answer.
5. 3; Both statements are required.
Solutions (6-10)
6. (5) Total money spent on food in April = 35% of 40,000 = 14,ooo
7. (1) Money spent on education in March = 15,000
Money spent on Housing in April = 4000
Difference = 11000
8. (5) Req percentage = (22.5 - 18)/18 * 100 = 4.5/18 * 100 = 25%
9. (4) Req average = 34800/6 = 5.8 thousand
10 (3) Req ratio 3: 15 = 1:5
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