Direction for questions 1 to 5: Answer the questions based on the following information.
A company produces five types of shirts — A, B, C, D and E — using cloth of three qualities — high, medium and low -, using dyes of three qualities — high, medium and low. One shirt requires 1.5 m of cloth. The following table gives respectively:
1. The number of shirts (of each category) produced, in thousands
2. The percentage distribution of cloth quality in each type of shirt, and
1. What is the total requirement of cloth?
a) 1,50,000 m
b) 2,00,000 m
c) 2,25,000 m
d) 2,50,000 m
2. How many metres of low-quality cloth is consumed?
a) 22,500 m
b) 46,500 m
c) 60,000 m
d) 40,000 m
3. How many metres of high quality cloth is consumed by A-type shirts?
a) 8,000 m
b) 112,000 m
c) 24,000 m
d) 30,000 m
4. What is the ratio of the three qualities of dyes in high-quality cloth?
a) 2 : 3 : 5
b) 1 : 2 : 5
c) 7 : 9 : 10
d) Cannot be determined
5. What is the ratio of low-quality dye used for C-type shirts to that used for D- type shirts?
a) 3 : 2
b) 2 : 1
c) 1 : 2
d) 2 : 3
Questions {6-11}: Study the following information carefully and answer accordingly.
There are three companies A, B and C. The employees of the company speak at least one of the three languages, viz. English, Hindi and French, in following manner:
In company A, 700 employees speak Hindi, 600 speak English and 555 French. In company B, 650 speak Hindi, 580 speak English and 700 speak French and in company C, 500 speak Hindi, 600 English and 700 French. The number of employees of company A who speak only Hindi is equal to that of company C who speak English and French but no Hindi. It is also equal to that of company B who speak all the three languages. The number of employees of company C who speak only French is equal to 180, which is 20% more than the number of employees of company B who speak only Hindi. The ratio of the number of employees of company C who speak only English to the number of employees of company A who speak only French to the number of employees of company B who speak only Hindi is 2:4:5. The number of employees of company A who speak only English is equal to the number of employees of company who speak only French, which is equal to 180, which is also 25% less than those who speak English and French but not Hindi in company C. The number of employees of company C who speak Hindi and French but not English is equal to the number of employees of company A who speak Hindi and English but not French, which is equal to the number of employees of company B who speak English and French but not Hindi. The number of employees of company A who speak French and Hindi but not English is 165, which is 10% more than those who speak Hindi and French but not English in company C.
Q 6. How many employees speak Hindi and English but not French in company C?
(1) 130
(2) 80
(3) 150
(4) 170
(5) None of these
Q 7. How many employees speak all the three languages in company A?
(1) 145
(2) 125
(3) 130
(4) 150
(5) None of these
Q 8. How many employees speak any two of the three languages in company B?
(1) 540
(2) 410
(3) 670
(4) Can’t be determined
(5) None of these
Q 9. The number of employees of company A who speak English and French but not Hindi is what per cent more than the number of those who speak only Hindi in company C?
(1) 125%
(2) 60%
(3) 150%
(4) 100%
(5) None of these
Q 10. What is the difference between the number of employees of company C who speak all the three languages and the number of employees of company B who speak only English?
(1) 10
(2) 20
(3) 50
(4) 110
(5) None of these
Q 11. By what approximate per cent the number of employees of company B is more than that of C?
(1) 4%
(2) 6%
(3) 8%
(4) 10%
(5) 12%
Answers & Solutions:
1. a Total requirement of cloth
= Total number of shirts × Cloth required per shirt
= (20 + 30 + 30 + 10 + 10) × 1000 × 1.5 = 1,50,000 m.
2. b Total low quality cloth consumed
= 1.5 (30% of 30000 + 30% of 30000 + 40% of 10000
+ 90% of 10000) = 46,500 m.
3. c Total quantity of high quality cloth consumed by A-type
shirts = (80% of 20000) × 1.5 = 24,000 m.
4. d We only know the relationship between the type of shirt
and cloth used and type of shirt and dye used. We
cannot find any relationship between type of cloth and
dye used.
5. b Amount of low quality die used for C-type shirts
= (40% of 30000) = 12,000 units.
Amount of low quality die used for D-type shirts
= (60% of 10000) = 6,000 units.
Hence, required ratio = 2:1
6-10:
4
1
2
3
5
2
