Quant Quiz

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% ?

(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 = 1/40


10. (2)