Quant Quiz For SSC Exam.

1. 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   

2. 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  

3. 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  

4. 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  

5. 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

6. A certain amount was to be distributed among A, B and C in the ratio 1 : 2 : 3 respectively, but was erroneously distributed in the ratio 4 : 3 : 2 respectively. As a result of this, C got Rs. 60 less. What is the total amount?

(a) Rs. 216                                          

(b) Rs. 48            

(c) Rs. 108                                           

(d) Rs. 36  

7. Prashant scored 83 marks in subject A. He scored 75% marks in subject B and X marks in subject C. Maximum marks in each subject were 120. The overall percentage marks obtained by prashant in all three subjects together were 80%. How many marks did he score in subject C?

(a) 94                                    

(b) 106                

(c) 85                                    

(d) 115    

           

8. Monika enters a shop to buy pen, pencils and erasers. She has to buy at least 7 units of each. She buys more pencils than pen and more erasers than pencils. She picks up a total of 26 items. How many pencils does she buy?

(a) 10 or 11                                        

(b) 9 or 10          

(c) 8 or 9                                              

(d) 7 or 9     

                       

9. Rs. 31,394 are divided between A and B in the ratio 5 : 6. What is the difference between thrice the share of A and twice the share of B?

(a) Rs. 6582                        

(b) Rs. 5862      

(c) Rs. 8562                        

(d) Rs. 8652        

              

10. Sum of three consecutive numbers is 2475. What is 35% of the smallest number?

(a) 251.6                                              

(b) 288.4            

(c) 308.4                                              

(d) 296.8 

Answers with Explanation:-

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

So area = 616cm

2. (d):

3. (b):
Number = 740 × 35/100 - 34 = 225
2/5  of the number=90

4. (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

5. (b):

6. (a)

Let the total amount be x.

C’s original share = 3x / 6 = x / 2

C’s new share = 2x / 9

Now

(x / 2) – (2x / 9) = 60

x = 216

7. (d)

prashant marks in A = 83

prashant marks in B = 75% of 120 = 90

Now

(83 + 90 + x) / 360 * 100 = 80

x = 115

8. (c)

No. of erasers > No of pencils > No of pens

Possible combinations

Erasers = 11, Pencils = 8, Pens = 7 

OR

Erasers = 10, Pencils = 9, Pens = 7

9. (c)

Let the shares of A and B be 5x and 6x. Now

5x + 6x = 31394

x = 2854

Required difference = (3 * 5)x – (2 * 6)x = 3x = 8562  

10. (b)

Let the numbers be x, x + 1 and x + 2. Now

x + (x + 1) + (x + 2) = 2475

x = 824

Required number = 35% of 824 = 288.4