Number System
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a and b are irrational numbers such that a + b = q is a rational number, then a - b is
-
always rational
-
sometimes rational
-
always irrational
-
sometimes irrational
C.
always irrational
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A number when divided by 2736, leaves the remainder 75. If the same number is divided by 24, then the remainder is
-
12
-
3
-
0
-
23
B.
3
Shorcut Method:
Divide the remainder 75 by 24 , then we find 3 as remainder.
A number when divided by 361 gives a remainder 47. If the same number is divided by 19, the remainder obtained is
-
3
-
8
-
9
-
1
C.
9
Shortcut Method:
Divide the remainder 47 by 19 i.e. Required remainder = 9
A number when divided by 6 leaves remainder 3. When the square of the same number is divided by 6, the remainder is
-
0
-
2
-
1
-
3
D.
3
As we know that,
If a number or square of a number is divided by the same number, a remainder is same in both the conditions.
Hence, square of a number is divided by 6, we get 3 as remainder.
A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is
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220030
-
22030
-
1220
-
1250
A.
220030
Divisor = 555 + 445 = 1000
Remainder = 30 (given)
Quotient = (555 - 445) x 2
= 110 x 2 = 220
Dividend = (Divisor x Quotient) + Remainder
= 1000 x 220 + 30 = 220030
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Mock Test Series
Mock Test Series