A natural number when increased by 50% has its num¬ber of factors unchanged. However, when die value of the number is reduced by 75%, the number of factors is reduced by 66.66%. One such number could be:

1.  32

2.  84

3.  126

4.   None of these

View Answer  
4
Correct Answer :

84


Explanation :
No Explanation available for this question

Find the 28383rd term of the series: 123456789101112....

1.  3

2.  4

3.  9

4.   7

View Answer  
4
Correct Answer :

9


Explanation :
No Explanation available for this question

If you form a subset of integers chosen from between 1 to 3000, such that no two integers add up to a multiple of nine, what can be the maximum number of elements in the subset.

1.  1668

2.  1332

3.  1333

4.   1334

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4
Correct Answer :

1333


Explanation :
No Explanation available for this question

The series of numbers (1,1/2,1/3,1/4..............1/1972) is taken. Now two numbers are taken from this series (the first two) say x, y. Then the operation x + y + x.y is performed to get a consolidated number. The process is repeated. What will be the value of the set after all the numbers are consolidated into one number.

1.  1970

2.  1971

3.  1972

4.   None of these

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4
Correct Answer :

1972


Explanation :
No Explanation available for this question

K is a three digit number such that the ratio of the number to the sum of its digits is least What is the difference between the hundreds and the tens digits of K2

1.  9

2.  8

3.  7

4.   None of these

View Answer  
4
Correct Answer :

8


Explanation :
No Explanation available for this question

In the question 67, what can be said about the differ-ence between the tens and the units digit

1.  0

2.  1

3.  2

4.   None of these

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4
Correct Answer :

0


Explanation :
No Explanation available for this question

For the above question, for how many values of K will the ratio be the highest

1.  9

2.  8

3.  7

4.   None of these

View Answer  
4
Correct Answer :

9


Explanation :
No Explanation available for this question

A triangular number is defined as a number which has the property of being expressed as a sum of consecu-tive natural numbers starting with 1. How many triangu¬lar numbers less than 1000, have the property that they are the difference of squares of two consecutive natural numbers

1.  20

2.  21

3.  22

4.   23

View Answer  
4
Correct Answer :

22


Explanation :
No Explanation available for this question

x and y are two positive integers. Then what will be the sum of the coefficients of the expansion of the expres-sion (x+y)44 Answer:244

1.  243

2.  243 + 1

3.  244

4.   244- 1

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4
Correct Answer :

244


Explanation :
No Explanation available for this question

What is the remainder when 9 + 92 + 93 +...92n+l is divided by 6

1.  1

2.  2

3.  3

4.   4

View Answer  
4
Correct Answer :

3


Explanation :
No Explanation available for this question
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