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Frequently Asked CAT Numerical Ability - Number System Sample Question with Solutions

(#M40033128) CAT QUESTION Number system Keep an EYE

What is the last 2 digits of
(101*102*103*197*198*199)

Asked In CAT sanjana (11 years ago)

Unsolved Read Solution (5)

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(#M40152408) CAT QUESTION Number System Keep an EYE

A boy took a seven digit number ending in 9 and raised it to an even power greater than 2000. He then took the number 17 and raised it to a power which leaves the remainder 1 when divided by 4. If he now multiplies both the numbers, what will be unit's digit of the number he so obtains?

Asked In CAT Sibani Sankar Panigrahi (10 years ago)

Unsolved Read Solution (3)

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(#M40152407) CAT QUESTION Number System Keep an EYE

A test has 80 questions. There is one mark for a correct answer, while there is a negative penalty of -1/2 for a wrong answer and -1/4 for an unattempted question. What is the number of questions answered correctly, if the student has scored a net total of 34.5 marks.

Asked In CAT Sibani Sankar Panigrahi (10 years ago)

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(#M40167056) CAT QUESTION Number System Keep an EYE

The remainder, when (15^23+23^23) is divided by 19, is
A)4
B)15
C)0
D)18

Asked In CAT potugari Jagankumar (4 years ago)

Unsolved Read Solution (2)

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(#M40013904) CAT QUESTION number system Keep an EYE

In a number system the product of 44 and 11 is 2124. The
number 3111 of this system, when converted to the decimal number system,
becomes:
(a) 406
(b) 1086
(c) 213
(d) 691

Asked In CAT sc mandota (12 years ago)

Solved Kamal Read Solution (1)

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(#M40018080) CAT QUESTION Keep an EYE

how many natural nos less than 65 have odd number of divisors (including 1 and those number themselves) ?

Asked In CAT tavisha choudhary (12 years ago)

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(#M40037215) CAT QUESTION Remainders Keep an EYE

What will be remainder when N=10^10+ 10^100 + 10^1000+ 10^10000..........+10^10000000000 is divided by 7

Asked In CAT Lovejeet Singh (11 years ago)

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(#M40019857) CAT QUESTION Keep an EYE

The number of common terms in the two sequences 17, 21, 25,.............. , 417 and 16, 21, 26,............,466
is
(1) 78 (2) 19 (3) 20 (4) 77 (5) 22

Asked In CAT mandeep (12 years ago)

Unsolved Read Solution (6)

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(#M40037210) CAT QUESTION Number System Keep an EYE

Find Remainder when 32^32^32 is divided by 9.

Asked In CAT Lovejeet Singh (11 years ago)

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(#M40010262) CAT QUESTION Keep an EYE

How many integral values of 'x' are possible for which (2^70 + 2^1039 + 2^x) equals the square of a whole number?

Asked In CAT prashanthi (13 years ago)

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