Dravid and Sachin each had a certain number of playing marbles. Dravidlost a game to Sachin and had to give Sachin half of his marbles. In the secondgame, Sachin lost and had to give three-fourths of his marbles to Dravid,who now had thirty marbles. Finally, the two played a third game. Sachinwon and acquired some of Dravids marbles.At this point, each boy had exactlythe number of marbles he had started with, and Dravid had twice asmany marbles as Sachin. How many marbles did Sachin has in the beginning?

1. 12

2. 24

3. 36

4. None of the this

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Correct Answer :

Explanation :
No Explanation available for this question

Amrita hosted a birthday party and invited all her friends and asked themto invite their friends.There are n people in the party.Only Satyam is notknown to Amrita.Each pair that does not include Amrita or Satyam has exactly2 common friends.Also,Satyam knows everyone except Amrita.If only2 friends can dance at a time,how many dance numbers will be there at theparty

1. 3n − 7

2. 2n + 5

3. 4n − 3

4. none of these

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Correct Answer :

3n − 7

Explanation :
No Explanation available for this question

There is a circle of radius 1 cm. Each member of a sequence of regularpolygon P1(n), n = 5, 6...., Where n is the number of sides of polygon iscircumscribing the circle and each member of a sequence of regular polygonP2(n), n = 4, 5.. where n is the number of sides of a polygon, is incribedin the circle. Let L1(n) & L2(n) denote the perimeter of the correspondingpolygons P1(n)& P2(n). let X=L1(13)+2∏/L2(17) Then

1. ∏/4 < X < 1

2. 1 < X < 2

3. X > 2

4. X < 2

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Correct Answer :

1 < X < 2

Explanation :
No Explanation available for this question

Let S be the set of five-digit numbers formed by the digits 1, 2, 3, 4 and 5,using each digit exactly once such that exactly two odd positions are occupiedby odd digits. What is the sum of the digits in the rightmost positionof the numbers in S

1. 228

2. 216

3. 294

4. 192

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Correct Answer :

216

Explanation :
No Explanation available for this question

For a positive integer n, let Pn denote the product of the digits of n, andSn denote the sum of the digits of n. The number of integers between 10 and1000 for which Pn + Sn = n is

1. 81

2. 16

3. 18

4. 9

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Correct Answer :

Explanation :
No Explanation available for this question

Let g(x) be a function such that g(x + 1) + g(x − 1) = g(x) for everyreal x. Then for what value of p is the relation g(x + p) = g(x) necessarilytrue for every real x

1. 5

2. 3

3. 2

4. 6

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Correct Answer :

Explanation :
No Explanation available for this question

In the X − Y plane, the area of the region bounded by the graph of|x + y| + |x − y| = 4 is

1. 8

2. 12

3. 16

4. 20

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Correct Answer :

Explanation :
No Explanation available for this question

There are 100 windows in a room.Initially all the windows are open.Thefirst person enters and closes all the windows. The second person comes andhe changes the states of window(i.e he opens the window if it is closed andcloses the window if it is open) for the even numbered windows. Similarlythe third person comes and he changes the states of the window which aremultiples of 3. Similarly 4th , 5th ....100th person comes and changes thestate of the window. How many window will remain open

1. 10

2. 90

3. 100

4. None of the these

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Correct Answer :

Explanation :
No Explanation available for this question

Let x be a real number such that 1 − 1/n < x 3 + 1/n is true for all natural numbers n. Which among the following best describes x

1. 1 < x < 3

2. 1 ≤ x ≤ 3

3. 0 < x < 4

4. 1 < x ≤3

5. 0 < x ≤ 4

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Correct Answer :

1 ≤ x ≤ 3

Explanation :
No Explanation available for this question

If |b| > 1 and x = |a|b, then which one of the following is necessarilytrue

1. a − xb ≤ 0

2. a − xb > 0

3. .a − xb < 0

4. .a − xb 0

View Answer

Correct Answer :

.a − xb 0

Explanation :
No Explanation available for this question

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