Directions (1-5): Study the following information carefully and answer the given questions.
There are certain number of students studying in a school. In a survey it is found that 45.6% of total number of students like tea. 12.8% of total number of students like cold drink. 84.4% of total number of students like milk. 7% of students do not like any drink. 3.6% students like tea and cold drink. 10.2% of total students like cold drink and milk. 38.6% of total students like tea and milk. 2.6% students like all three drinks. Number of students who do not like any drinks is 35.
Q1. What is the number of students who like only milk?
(a) 204
(b) 180
(c) 193
(d) 191
(e) 229
Q2. What is the number of students who like tea and cold drink but don’t like milk?
(a) 5
(b) 8
(c) 13
(d) 12
(e) 18
Q3. What is the number of students who like exactly two drinks out of the given three options?
(a) 221
(b) 223
(c) 227
(d) 229
(e) 231
Q4. What is the number of students who like at least one drink?
(a) 455
(b) 465
(c) 475
(d) 485
(e) 500
Q5. What is the number of students who like at least two drinks?
(a) 232
(b) 234
(c) 236
(d) 238
(e) 240
Solutions (1-5):-
S1. Ans. (d)
Sol. No. of students only like milk=191
S2. Ans.(a)
Sol. Students like only Tea & cold drink=5
S3. Ans.(b)
Sol. Students, exactly like two drinks=180+38+5=223
S4. Ans.(b)
Sol. Student, who like at least one drink=30+5+13+8+38+180+191=465
S5. Ans.(c)
Sol. Students who
Q6.If Length of a rectangular field is increased by 21 metres and breadth is decreased by 9 metres, area of the field remains unchanged. If length be decreased by 21 metres and breadth be increased by 15 metres, again area remains unchanged. Find the length of diagonal of the rectangle.
(a) 90 m
(b) 64 m
(c) 95.3 m(approx)
(d) 64.8 m (approx)
(e) 78 m
(a) Rs. 1020.60
(b) Rs. 398.80
(c) Rs. 437.40
(d) Rs. 583.20
(e) None of these
(a) 1048 sq m
(b) 1076 sq m
(c) 1078 sq m
(d) 1090 sq m
(e) 1088 sq m
Q9. The perimeter of a square is equal to twice the perimeter of a rectangle of length 8 cm and breadth 7 cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ? (Rounded off to two decimal place)
(a) 38.57 cm
(b) 23.57 cm
(c) 42.46 cm
(d) 47.47 cm
(e) 35.57 cm
Q10. A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. What is the area of the circle?
(a) 88 cm2
(b) 1250cm2
(c) 154cm2
(d) Cannot be determined
(e) None of these
Q11. Sum of area of a circle and a rectangle is equal to 1166 sq.cm. The diameter of the circle is 28 cm. What is the sum of the circumference of the circle and the perimeter of the rectangle if the length of the rectangle is 25 cm?
(a) 186 cm
(b) 182 cm
(c) 184 cm
(d) Cannot be determined
(e) None of these
Q12. The perimeter of a rectangle is 160 m and the difference of two adjacent sides is 48 m. Find the side of a square whose area is equal to the area of the rectangle.
(a) 32 m
(b) 8 m
(c) 4 m
(d) 16 m
(e) 64 m
Q13. What will be the area (in square metre) of 1.5 m wide garden developed around all the four sides of a rectangular field having area equal to 300 sq m and breadth equal to three fourths of the length? (in sq m)
(a) 96
(b) 105
(c) 114
(d) Cannot be determined
(e) None of these
Q14. Cost of fencing a circular plot at the rate of Rs. 15 per meter is Rs. 3300. What will be the cost of flooring the plot at the rate of Rs. 100 per square meter?
(a) Rs. 385000
(b) Rs. 220000
(c) Rs. 350000
(d) Can’t be determined
(e) None of these
Q15. The perimeter of a square is double the perimeter of a rectangle. The Area of the rectangle is 240 sq cm. What is the area of the square ?
(a) 100 sq cm
(b) 36 sq cm
(c) 81 sq cm
(d) Cannot be determined
(e) None of these
S15. Ans. (d)
Sol. Can’t be determined as no relation between length and breadth is given
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