The 288th term of the series a, b, b, c, c, c, d, d, d, d, e, e, e, e, e, f, f, f, f, f, f…. is 

1.  u

2.  v

3.  w

4.  x

View Answer  
4
Correct Answer :

x


Explanation :
No Explanation available for this question

There are two concentric circles such that the area of the outer circle is four times the area of the inner circle. Let A, B and C be three distinct points on the perimeter of the outer circle such that AB and AC are tangents to the inner circle. If the area of the outer circle is 12 square centimeters then the area (in square centimeters) of the triangle ABC would be

1.    √12

2.  9/?

3.  9√3/?

4.  6√3/?

View Answer  
4
Correct Answer :

9√3/?


Explanation :
No Explanation available for this question

Let a, b, c, d be four integers such that a + b + c + d = 4m + 1 where m is a positive integer. Given m, which one of the following is necessarily true

1.  The minimum possible value of a2 + b2+ c2 + d2is 4m2 – 2m + 1

2.  The minimum possible value of a2+ b2+ c2 + d2is 4m2+ 2m + 1

3.  The maximum possible value of a2+ b2 + c2+ d2is 4m2 - 2m + 1

4.  The maximum possible value of a2+ b2+ 2+ d2 is 4m2 + 2m + 1

View Answer  
4
Correct Answer :

The minimum possible value of a2+ b2+ c2 + d2is 4m2+ 2m + 1


Explanation :
No Explanation available for this question

In the figure below, ABCDEF is a regular hexagon and AOF = 90o. FO is parallel to ED. What is the ratio of the area of the triangle AOF to that of the hexagon ABCDEF?

1.  1/12

2.  1/6

3.  1/24

4.  1/18

View Answer  
4
Correct Answer :

1/12


Explanation :
No Explanation available for this question

The number of non-negative real roots of 2x – x – 1 = 0 equals

1.  0

2.  1

3.  2

4.  3

View Answer  
4
Correct Answer :

2


Explanation :
No Explanation available for this question

Three horses are grazing within a semi-circular field. In the diagram given below, AB is the diameter of the semi-circular field with centre at O. Horses are tied up at P, R and S such that PO and RO are the radii of semi-circles with centers at P and R respectively, and S is the centre of the circle touching the two semi-circles with diameters AO and OB. The horses tied at P and R can graze within the respective semi -circles and the horse tied at S can graze within the circle centred at S. The percentage of the area of the semi-circle with diameter AB that cannot be grazed by the horses is nearest to

1.  20

2.  28

3.  36

4.   40

View Answer  
4
Correct Answer :

28


Explanation :
No Explanation available for this question

Amit wants to reach N2 from S1. It would take him 90 minutes if he goes on minor arc S1 – E1 on OR, and then on the chord road E1 – N2. What is the radius of the outer ring road in kms

1.  60

2.  40

3.  30

4.  20

View Answer  
4
Correct Answer :

30


Explanation :
No Explanation available for this question

Amit wants to reach E2 from N1 using first the chord N1 – W2 and then the inner ring road. What will be his travel time in minutes on the basis of information given in the above question

1.  60

2.  45

3.  90

4.  105

View Answer  
4
Correct Answer :

105


Explanation :
No Explanation available for this question

The ratio of the sum of the lengths of all chord roads to the length of the outer ring road is 

1.  √ 5:2

2.  √5 : 2

3.  √5 :?

4.  None of the above

View Answer  
4
Correct Answer :

√5 :?


Explanation :
No Explanation available for this question

The ratio of the sum of the lengths of all chord roads to the length of the outer ring road is 

1.  √ 5:2

2.  √5 : 2

3.  √5 :?

4.  None of the above

View Answer  
4
Correct Answer :

√5 :?


Explanation :
No Explanation available for this question
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