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
Sponsor Area
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
Sponsor Area
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
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