Quant Quiz
1. A man sold an item for RS 6,750 at a loss of 25%. What will be the selling price of same item if he sells it at a profit of 15% ?
(a) RS 10,530
(b) RS 9,950
(c) RS 10,350
(d) RS 11,340
2. The sum of the circumference of a circle and the perimeter of a rectangle is 132 cm. The area of the rectangle is 112 sq cm and breadth of the rectangle is 8 cm. What is the area of the circle ?
(a) 616 sq cm
(b) 540 sq cm
(c) 396 sq cm
(d) Cannot be determined
3. The cost of 5 kg of apple is equal to the cost of 12 kg of rice. The cost of 3 kg of flour is equal to one kg of rice. The cost of one kg. of flour is RS 17.50. What is the total cost of 3 kg of apple, 2 kg of rice and 4 kg of flour together ?
(a) RS 543
(b) RS 527
(c) RS 563
(d) RS 553
4. Thirty-five per cent of 740 is 34 more than a number. What is two-fifth of the number ?
(a) 45
(b) 90
(c) 180
(d) 120
5. The ratio between the angles of a quadrilateral is 6 : 3 : 4 : 5. The smallest angle of a triangle is one-fourth the largest angle of the quadrilateral. Largest angle of the triangle is 10° more than second largest angle of the triangle. What is the second largest angle of the triangle ?
(a) 80°
(b) 60°
(c) 70°
(d) Cannot be determined
6. A train covered a distance of 1235 km in 19 hours. Also, the average speed of a car is four-fifth the average speed of the train. How much distance will the car cover in 22 hours ?
(a) 1234 km
(b) 1144 km
(c) 1134 km
(d) 1244 km
7. The ratio between the present ages of Meera and Priya is 3 : 4 respectively. Ten years ago the ratio between their ages was 4 : 7 respectively. What will be Meera's age after 5 years ?
(a) 18 years
(b) 24 years
(c) 23 years
(d) 29 years
8. The average marks of nine students in a group is 63. Three of them scored 78, 69 and 48 marks. What are the average marks of remaining six students ?
(a) 63.5
(b) 64
(c) 63
(d) None of these
9. A bag contains 7 red balls, 4 green balls and 5 yellow balls. What is the probability that 3 balls drawn at random are either green or yellow ?
(a) 1/140
(b) 1/60
(c) 3/280
(d) None of these
10. Six boys or four men can complete a piece of work in 24 days. In how many days will 3 boys and 10 men together complete the same piece of work ?
(a) 6
(b) 8
(c) 12
(d) Cannot be determined
(a) RS 10,530
(b) RS 9,950
(c) RS 10,350
(d) RS 11,340
2. The sum of the circumference of a circle and the perimeter of a rectangle is 132 cm. The area of the rectangle is 112 sq cm and breadth of the rectangle is 8 cm. What is the area of the circle ?
(a) 616 sq cm
(b) 540 sq cm
(c) 396 sq cm
(d) Cannot be determined
3. The cost of 5 kg of apple is equal to the cost of 12 kg of rice. The cost of 3 kg of flour is equal to one kg of rice. The cost of one kg. of flour is RS 17.50. What is the total cost of 3 kg of apple, 2 kg of rice and 4 kg of flour together ?
(a) RS 543
(b) RS 527
(c) RS 563
(d) RS 553
4. Thirty-five per cent of 740 is 34 more than a number. What is two-fifth of the number ?
(a) 45
(b) 90
(c) 180
(d) 120
5. The ratio between the angles of a quadrilateral is 6 : 3 : 4 : 5. The smallest angle of a triangle is one-fourth the largest angle of the quadrilateral. Largest angle of the triangle is 10° more than second largest angle of the triangle. What is the second largest angle of the triangle ?
(a) 80°
(b) 60°
(c) 70°
(d) Cannot be determined
6. A train covered a distance of 1235 km in 19 hours. Also, the average speed of a car is four-fifth the average speed of the train. How much distance will the car cover in 22 hours ?
(a) 1234 km
(b) 1144 km
(c) 1134 km
(d) 1244 km
7. The ratio between the present ages of Meera and Priya is 3 : 4 respectively. Ten years ago the ratio between their ages was 4 : 7 respectively. What will be Meera's age after 5 years ?
(a) 18 years
(b) 24 years
(c) 23 years
(d) 29 years
8. The average marks of nine students in a group is 63. Three of them scored 78, 69 and 48 marks. What are the average marks of remaining six students ?
(a) 63.5
(b) 64
(c) 63
(d) None of these
9. A bag contains 7 red balls, 4 green balls and 5 yellow balls. What is the probability that 3 balls drawn at random are either green or yellow ?
(a) 1/140
(b) 1/60
(c) 3/280
(d) None of these
10. Six boys or four men can complete a piece of work in 24 days. In how many days will 3 boys and 10 men together complete the same piece of work ?
(a) 6
(b) 8
(c) 12
(d) Cannot be determined
ANSWERS WITH EXPLANATION :-
1. (c):
C.P. of the item = ( 6750 ×100 )/75 = Rs 9000
So, Reqd. S.P. of the item = (9000 × 115)/100=Rs 10350
2. (a):
Length of the rectangle = 112/8 = 14 cm, so perimeter= 44 cm,
Circumference= 132-44=88 cm,
R = (88 × 7 )/(2 ×22) = 14cm
3. (d):
4. (b):
Number = 740 × 35/100 - 34 = 225
2/5 of the number=90
5. (c):
The largest angle of the quadrilateral (6 ×360)/(6+4+3+5) = 120 degrees
Smallest angle of the triangle = 120 × 1/4 = 30 degrees
If second largest angle of the triangle = (x + 10)
So 30+ x+ x+10 = 180 , x = 70 degrees
6. (b):
7. (c):
8. (d):
9. (d):
1. (c):
C.P. of the item = ( 6750 ×100 )/75 = Rs 9000
So, Reqd. S.P. of the item = (9000 × 115)/100=Rs 10350
2. (a):
Length of the rectangle = 112/8 = 14 cm, so perimeter= 44 cm,
Circumference= 132-44=88 cm,
R = (88 × 7 )/(2 ×22) = 14cm
3. (d):
4. (b):
Number = 740 × 35/100 - 34 = 225
2/5 of the number=90
5. (c):
The largest angle of the quadrilateral (6 ×360)/(6+4+3+5) = 120 degrees
Smallest angle of the triangle = 120 × 1/4 = 30 degrees
If second largest angle of the triangle = (x + 10)
So 30+ x+ x+10 = 180 , x = 70 degrees
6. (b):
7. (c):
8. (d):
9. (d):
Total ways = 16C3 = 16!/(13!×3!) = 560
Favorable ways = 4C3 + 5C3 = 4!/(3!×1!) + 5!/(3!×2!)
Required probability = 1/140
10. (b):
Favorable ways = 4C3 + 5C3 = 4!/(3!×1!) + 5!/(3!×2!)
Required probability = 1/140
10. (b):
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