Small Quiz

3

QUESTION 1

Cylindrical cans of cricket balls are to be packed in a box. Each can has a radius of 7 cm and height of 30 cm. Dimension of the box is l = 76 cm, b = 46 cm, h = 45 cm. What is the maximum number of cans that can fit in the box?

15

 

17

 

 

 22

 

 21

QUESTION 2

Find the volume of a right circular cone formed by joining the edges of a sector of a circle of radius 4 cm where the angle of the sector is 90°

(2√3)/π  cm³

 

(2√2 π)/3  cm³

 

 

(π√5)/√3  cm³

 

 

√3/π  cm

QUESTION 3

Anil grows tomatoes in his backyard which is in the shape of a square. Each tomato takes 1 cm² in his backyard. This year, he has been able to grow 131 more tomatoes than last year. The shape of the backyard remained a square. How many tomatoes did Anil produce this year?

4225

 

 

4096

 


  

 


 

 4356  

 


 

Insufficient Data

QUESTION 4

ABCD is a square drawn inside a square PQRS of sides 4 cm by joining midpoints of the sides PQ, QR, RS, SP. Another square is drawn inside ABCD similarly. This process is repeated infinite number of times. Find the sum of all the squares

 16 cm²

 

 

28 cm²

 

 

32 cm²

 


 

Infinite

QUESTION 5

 From a circular sheet of paper with a radius 25 cm, four circles of radius 6 cm each are cut out. What is the ratio of the uncut to the cut portion?

 144 : 435

 

 

 481 : 144

 

 

435 : 145

 


 

 462 : 144

QUESTION 6

In the given figure xz = P and ∠zxy = 30° and right angle at y. from y a perpendicular is drawn at xz at point a1, from a1, a1 perpendicular drawn at xy at point a2 and this process repeated indefinitely. The  sum of length of all such perpendicular will be (including yz)

√3/2 P

 

 

2p(√3-2)

 

 

P(√3-2)

 


 

P(√3+2)

QUESTION 7

A milkman dilutes 48 liters of pure milk water. The percentage of milk in the solution is now 64%. How many liters of water did he odd?

 23 lit

 

 

36 lit

 

 

30 lit

 

27 lit

QUESTION 8

Veer works 8/3 times a fast as Saurabh and is able to complete a work in 55 days less than the number of days taken by Saurabh. Find the time in which they can complete the work together.

(a) 22 days

 

 

 

 


(b) 24 days

 

 

 

 


(c) 44 days 

 


 

 

 


(d) 48 days

QUESTION 9

 In ?ABC, AB = 8 cm, ∠A is bisected internally to intersect BC at D. BD = 6 cm and DC = 7.5 cm. What is the length of CA ?

 

(a) 10 cm 

 



 

 

 


(b) 11.5 cm

 

 

 

 


(c) 9 cm

 


 

 


(d) 12.5 cm

QUESTION 10

A wheel has diameter 63 cm. The number of complete revolutions it will take to cover 78606 cm is

297

 

 

397

 

 

 294

 


 

386