In an equilateral ABC a square PQRS is symmetrically inscribed such that one side PQ of the square is on BC, and R and S are on the other two sides AC and AB respectively. The ratio of side AS to SB is :

1.  1 : √3

2.  2 : 1

3.  1 : 2

4.  √3 : 2

View Answer  
4
Correct Answer :

√3 : 2


Explanation :
No Explanation available for this question

How many digits can '' take if the above number leaves the least whole number as remainder on dividing by the least odd prime number?

1.  3

2.  4

3.  6

4.  10

View Answer  
4
Correct Answer :

4


Explanation :
No Explanation available for this question

The maximum number of digits '' can take when the given 5 digit number is completely divisible by 4 is :

1.  4

2.  5

3.  All single digit odd numbers

4.  Both [2] and [3]

View Answer  
4
Correct Answer :

Both [2] and [3]


Explanation :
No Explanation available for this question

The proportion of the volume of water that floured out to that of a completely filled cylinder is

1.  1/4

2.  1/2

3.  1/3

4.  Data insufficient as actual dimensions are unknown

View Answer  
4
Correct Answer :

1/2


Explanation :
No Explanation available for this question

If the quantity of water retained in the cylinder is 6 litres, what is the total quantity of water, in litres initially

1.  24

2.  12

3.  18

4.  Data insufficient

View Answer  
4
Correct Answer :

12


Explanation :
No Explanation available for this question

If the quantity of water left is poured into a conical flask whose height and base radius are same as that of the cylinder so as to fill the conical flask completely, the quantity of liquid left in the cylinder as a fraction of its total volume is:

1.  0

2.  1/4

3.  1/6

4.  1/12

View Answer  
4
Correct Answer :

1/6


Explanation :
No Explanation available for this question

The number is also divisible by:

1.  20

2.  14

3.  23

4.  [1] or [2]

View Answer  
4
Correct Answer :

[1] or [2]


Explanation :
No Explanation available for this question

If a takes the lowest possible value, then what should be the least value that can be added to the reduced perfect square so that the product is divisible by 16

1.  15

2.  5

3.  16

4.  Data insufficient

View Answer  
4
Correct Answer :

5


Explanation :
No Explanation available for this question

The ratio of sum of the cubes to the difference of cubes of the roots of the above equation is :

1.  512 / 223/2

2.  223/2 / 5/2

3.  25√8 / 88

4.  11√8 / 25

View Answer  
4
Correct Answer :

11√8 / 25


Explanation :
No Explanation available for this question

What is the maximum value for x2.y if x2-6x≤-16

1.  -4

2.   -64

3.   -10

4.  10

View Answer  
4
Correct Answer :

-4


Explanation :
No Explanation available for this question
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