• Placement Questions
• /
• GATE
• /
• Numerical Ability
• /
• Number System

GATE Numerical Ability - Number System Sample Question with Solutions

(#M40038552) GATE QUESTION Number System Keep an EYE

The number zero (0) is surrounded by the same 2 digit number on both(left and right) sides: for example 25025, 67067 etc. The largest number that always divides such a number is
(a)7
(b)11
(c)13
(d)1001

Asked In Gate Swechchha Agarwal (11 years ago)

Unsolved Read Solution (4)

Is this Puzzle helpful?   (23)   (4) Submit Your Solution Number System

(#M40038551) GATE QUESTION Number System Keep an EYE

Which among the following is the least number which when divided by 10 leaves a remainder of 9, when divided by 9 leaves a remainder of 8, when divided by 8 leaves a remainder of 7, when divided by 7 leaves a remainder of 6, when divided by 6 leaves a remainder of 5, when divided by 5 leaves a remainder of 4, when divided by 4 leaves a remainder of 3, when divided by 3 leaves a remainder of 2, when divided by 2 leaves a remainder of 1?
(a)7559
(b)839
(c)5039
(d)None of these

Asked In Gate Swechchha Agarwal (11 years ago)

Unsolved Read Solution (9)

Is this Puzzle helpful?   (4)   (0) Submit Your Solution Number System

(#M40038550) GATE QUESTION Number System Keep an EYE

Four wheels moving 12, 25, 20 and 30 revolutions in a minute starting at a certain point on the circumference downwards. After what interval of time will they come together again in the same position?
(a)30s
(b)20s
(c)15s
(d)45s

Asked In Gate Swechchha Agarwal (11 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (6)   (7) Submit Your Solution Number System

(#M40038549) GATE QUESTION Number System Keep an EYE

A certain number when successively divided by 5 and 7 leaves the remainders 3 and 4 respectively. What is the remainder, if the same number is divided by 35?
(a)21
(b)23
(c)24
(d)29

Asked In Gate Swechchha Agarwal (11 years ago)

Unsolved Read Solution (4)

Is this Puzzle helpful?   (60)   (38) Submit Your Solution Number System

(#M40038548) GATE QUESTION Number System Keep an EYE

What is the remainder when 75^3 is divided by 4?

Asked In Gate Swechchha Agarwal (11 years ago)

Unsolved Read Solution (6)

Is this Puzzle helpful?   (14)   (9) Submit Your Solution Number System

(#M40034255) GATE QUESTION Keep an EYE

The numeral 123 is in some base other than 10. When you change it to base 10, you get 66 base 10. In what base was the numeral 123 written?
Option
(a) 7
(b) 8
(c) 12
(d) 9

Asked In Gate Aashu (11 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (7)   (1) Submit Your Solution Number System

(#M40033823) GATE QUESTION average Keep an EYE

Find the average of square of first 44 natural numbers is

Asked In Gate (11 years ago)

Unsolved Read Solution (7)

Is this Puzzle helpful?   (1)   (3) Submit Your Solution Number System

(#M40031166) GATE QUESTION Keep an EYE

Q. Given digits 2, 2, 3, 3, 3, 4, 4, 4, 4, how many distinct 4 digit numbers greater than 3000 can be formed?

Asked In gate Mareesh janadri (11 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (1)   (0) Submit Your Solution Number System

(#M40003216) GATE QUESTION General Aptitude Keep an EYE

If 137 + 276 = 435.
How much is 731 + 672 ?

Asked In Gate CHANDAN KR SINGH (14 years ago)

Solved Avinash Gaurav Read Solution (6)

Is this Puzzle helpful?   (55)   (15) Submit Your Solution Number System