Whenever two dimensional figure is rotated about a given axis, it sweeps through a certain volume in space. This volume is said to be generated by the rotating the figure about the given axis. Now. a triangle is similarly rotated about an axis which coincides with one of the sides of the triangle If the lengths 0 f the sides of triangle are 5 em, 12 em and 13 em, then what is the maximum possible volume that can be generated in space by rotating the triangle

1. 160 π cm3

2. 180 π cm3

3. 330 π cm3

4. 240 π cm3

5. 108.33 π cm3

View Answer

Correct Answer :

330 π cm³

Explanation :
No Explanation available for this question

Let S be a series or natural numbers containing n terms. So is the Slim of every alternate term, starring from the first term and Se is the sum of all the remaining terms. if the product of So and S, is odd, then which of the following statements is necessarily true I. n iodd. Il. n is even. III. The difference in the number of terms in S that are odd and the number of terms in S that are even is odd. IV. The number ofterms in S that are odd is even.

1. Only I and III

2. Only III

3. Only II and IV

4. Only IV

5. Only II.

View Answer

Correct Answer :

Only IV

Explanation :
No Explanation available for this question

1.1!+2.2!+3.3!+…+n.n!=

1. (n+1)!

2. (n+1)!-1

3. (n!)2-1

4. (n+1)!-n

5. (n+1)!+1

View Answer

Correct Answer :

(n+1)!-1

Explanation :
No Explanation available for this question

A square sheet of paper has a side of 30 ern. Four squares, each of side 'x' em, are cut away from each of its comers and the remaining sheet is folded into an open cuboid. What is the maximum possible volume (in ce.). of the cuboid fonned

1. 2592

2. 2048

3. 2000

4. 1994

5. 1936

View Answer

Correct Answer :

2000

Explanation :
No Explanation available for this question

A tank of capacity 165 liters, has N taps, numbered from 1 to N fitted to it. At the start of the nth minute, where 1≤ n ≤ N, the tap numbered n, which fills the tank at the rate of n liters per mite, is opened. If it takes exactly N minutes to fill the tank in his manner , find N.

1. 8

2. 9

3. 10

4. 11

5. 12

View Answer

Correct Answer :

Explanation :
No Explanation available for this question

Consider 4 (dimensionless) flies, 2 males and 2 females. They are situated at the four corners of asquare of side 10 meters, the two males at diagonally opposite ends. At any time, each fly tries toreach the male/female fly in front of her/him using the shortest possible route. Since the flies areflying towards another, they will meet each other at a certain time at the center of the square. Whatis the length of the path that each has traveled at the moment they reach each other

1. 12.5 mts

2. 10 mts

3. 7.5 mts

4. 5 mts

View Answer

Correct Answer :

10 mts

Explanation :
No Explanation available for this question

A man is going to a car auction. All purchases must be paid for in cash. He goes to the bank anddraws out Rs. 25,000. Since the man does not want to be seen carrying that much money, he places it in 15 envelopesnumbered 1 through 15 such that he could count any amount from 1 to 25000 using combinations ofsome envelopes. Each envelope contains the least number of bills possible of any availablecurrency. (for example, no two tens instead of a twenty). The possible currency denominations are1,2,5,10, 20, 50 and 100. At the auction he makes a successful bid of Rs. 8322 for a car. He hands the auctioneer envelopes 2,8, and 14. After opening the envelopes the auctioneer finds exactly the right amount. How manyones (one rupee notes) did the auctioneer find in the envelopes.

1. 1

2. 2

3. 3

4. Indeterminate

View Answer

Correct Answer :

Explanation :
No Explanation available for this question

A traveler, on his way to a certain village A, reaches a road junction, where he can turn left or right.He knows that only one of the two roads leads to village A, but unfortunately, he does not knowwhich one. Fortunately, he sees two twin-brothers standing at the road junction, and he decides toask them for directions. The traveler knows that one of the two brothers always tells the truth and the other one always lies.Unfortunately, he does not know which one always tells the truth and which one always lies.With which of the following questions can the traveler find out the way to village A by asking justthis one question to one of the two brothers

1. "Does the left road lead to village A according to your brother"

2. "Which road leads to village A according to your brother?"

3. "If I were to take the left road then what according to your brother will be the answer to thequestion “Am I on the right road ?”

4. None of the above

View Answer

Correct Answer :

"Does the left road lead to village A according to your brother"

Explanation :
No Explanation available for this question

On Madagascar Island, there are x dodos in a particular year. 30 dodos in a thousand of the originalpopulation die every year and 25 dodos in a thousand of the original population are born every year.In how many years will the population of dodos halve itself

1. 200

2. 125

3. 100

4. Indeterminate

View Answer

Correct Answer :

100

Explanation :
No Explanation available for this question

A cube is divided into 8 equal cubes. Each of these cubes is further sub-divided into 8 equal cubes.If the original cube’s sides are painted blue, then what is the probability that exactly 2 sides of asmall cube is painted blue

1. 3/8

2. 1/16

3. 1/4

4. 3/4

View Answer

Correct Answer :

3/8

Explanation :
No Explanation available for this question

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