Small Quiz

3

QUESTION 1

5 persons live in a tent. If each person requires 16 square meters of floor area and 100 cubic meter space for air then the height of the cone of smallest size to accommodate these persons would be?

 16 m
 

 18.75 m
 

 10.25 m
 

20 m

QUESTION 2

The numerical values of the volume and the area of the lateral surface of a right circular cone are equal. If the height of the cone be h and radius be r, the value of 1/h² +1/r²  is

 9/1
 

3/1
 

1/3
 

 1/9

QUESTION 3

If in sale, the discount given on a saree is equal to one-fourth the marked price and the loss due to this discount is 15%, then the ratio of the cost price to the selling price is 

3 : 4
 

4 : 3
 

 10 : 17
 

20 : 17

QUESTION 4

Successive discounts of p% and q% on the catalogue price of an article is equivalent to a single discount of: 

 (x-y-xy/100)%
 

 (p-q-pq/100)%
 

(p+q-pq/100)%
 

 (p+q+pq/100)%

QUESTION 5

Mohan gets 3 marks for each correct sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is:

 15
 

20
 

25
 

 10

QUESTION 6

Two trains 108 m and 112 m in length are running towards each other on the parallel lines at a speed of 45 km/hr and 54 km/hr respectively. To cross each other after they meet, it will take

 12 sec
 

 9 sec
 

8 sec
 

10 sec

QUESTION 7

A book seller sells a book at a profit of 10%. If he had bought it at 4% less and sold it for Rs. 6 more, he would have gained 18¾%. The cost price of the book is

 Rs. 130
 

Rs. 140
 

 Rs. 150
 

Rs. 160

QUESTION 8

A shopkeeper bought 80 kg of sugar at the rate of Rs. 13.50 per kg. He mixed it with 120 kg of sugar costing Rs. 16 per kg. In order to make a profit of 20%, he must sell the mixture at 

Rs. 18 per kg
 

Rs. 17 per kg
 

Rs. 16.40 per kg
 

 Rs. 15 per kg

QUESTION 9

If sin θ + sin²?θ = 1, then the value of cos²θ+cos??θ is –

 0
 

 2
 

1
 

 -1

QUESTION 10

Provided sin (A – B) = sinA cosB – cosA sinB, then sin 15° will be?

 √3/(2√2)
 

 (√3-1)/(2√2)
 

 (√3-1)/√2
 

 (√3-1)/2