Quant Single Items - 02

Part - II

1) on a particular day sweets were to be equally distributed among 960 students in a school. however, on that day 360 students remained absent. Hence each students present on that day got three sweets extra. had all 960 remained present that day. how many sweets would each student have got ?

a) 15           b) 8             c) 7             d) 5           e) none

2) 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% ?

(1) RS 10,530

(2) RS 9,950

(3) RS 10,350

(4) RS 11,340

(5) None of these

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 ?

(1) 616 sq cm

(2) 540 sq cm

(3) 396 sq cm

(4) Cannot be determined

(5) None of these

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 ?

(1) RS 543

(2) RS 527

(3) RS 563

(4) RS 553

(5) None of these

4. Thirty-five per cent of 740 is 34 more than a number. What is two-fifth of the number ?

(1) 45

(2) 90

(3) 180

(4) 120

(5) None of these

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 ?

(1)80°  

(2)60°

(3)70°

(4)Cannot be determined

(5)None of these

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 ?

(1)1234 km 

(2) 1144 km

(3)1134 km

(4) 1244 km 

(5) None of these

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 ?

(1)18 years

(2)24 years

(3)23 years

(4)29 years

(5)None of these

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 ?

(1) 63.5

(2) 64

(3) 63

(4) 62.5

(5) 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 ?

(1) 1/140

(2) 1/60

(3) 3/280

(4) 3/40

(5) 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 ?

(1) 6

(2) 8

(3) 12

(4) Cannot be determined

(5) None of these

Answers:

1. (3)
C.P. of the item = ( 6750 ×100 )/75 = Rs 9000
So, Reqd. S.P. of the item = (9000 × 115)/100=Rs 10350

2. (1)
Length of the rectangle = 112/8 = 14 cm, so  perimeter= 44 cm,
Circumference= 132-44=88 cm,
R = (88 × 7 )/(2 ×22)  = 14cm

3. (4)

4. 2)
Number = 740 × 35/100 - 34 = 225
2/5  of the number=90

5. (3)
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. (2)

7. (3)

8. (5)

9. (5) Total ways = 16C3   = 16!/(13!×3!) = 560
Favourable ways = 4C3 + 5C3  = 4!/(3!×1!) + 5!/(3!×2!)
Required probability = 3/70


10. (2)