LCM and HCF
 What is the greatest number that divides 263, 935 and 1383 leaving a remainder of 7 in each case ?

 30
 31
 32
 35

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The required greatest number is the HCF of 2637, 9357, 13837
Correct Option: C
The required greatest number is the HCF of 2637, 9357, 13837
i.e. 256, 928 and 1376 HCF = 32
 If (x+2) is the HCF of x^{2} + ax + b and x^{2} + cx + d , then which one of the following is correct ?

 a + c = b + d
 2a + b = 2c + d
 b + 2c = 2a + d
 b  2c = 2a  d

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If (x+2) is the HCF of x^{2} + ax + b and x^{2} + cx + d.
Then, (2)^{2} 2a +b = (2)^{2} 2c + dCorrect Option: C
If (x+2) is the HCF of x^{2} + ax + b and x^{2} + cx + d.
Then, (2)^{2} 2a +b = (2)^{2} 2c + d
b + 2c = 2a + d
 Find the greatest possible length which can be used to measure 4m 3cm, 4m 34cm and 4m 65cm exactly.

 31 cm
 29 cm
 28 cm
 32 cm

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Required measure = HCF of 403, 434 and 465
Correct Option: A
Required measure = HCF of 403, 434 and 465
= 31 cm
 Which of the following fractions is the greatest of all ? 7/8, 6/7, 4/5, 5/6 ?

 6/7
 4/5
 5/6
 7/8

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7 / 8 = 0.875,
6 / 7 = 0.857,
4 / 5 = 0.8 and 5/6 = 0.833
Now, 0.875 > 0.857 > 0.833 > 0.8
So, 7/8 is the greatestCorrect Option: D
7 / 8 = 0.875,
6 / 7 = 0.857,
4 / 5 = 0.8 and 5/6 = 0.833
Now, 0.875 > 0.857 > 0.833 > 0.8
So, 7/8 is the greatest
 L.C.M of 2/3, 4/9, 5/6 and 7/12 is ?

 1/18
 1/36
 35/9
 140/3

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L.C.M = ( L.C.M . of 2, 4, 5, 7) / (H.C.F. of 3, 9, 6, 12)
Correct Option: D
L.C.M = ( L.C.M . of 2, 4, 5, 7) / (H.C.F. of 3, 9, 6, 12)
= 140/3