KSHI 1. REAL NUMBERS 1. The prime factor of 2×7×11×17×23+23 is ____ 2. A Physical Education Teacher wishes to distribute 60 balls and 135 bats equally among a number of boys. The greatest nu-mber receiving the gift in this way are___ 3. The Values of X and Y in the given figure are ____ 4. If the LCM of 12 and 42 is 10m+4, then the value of 'm' is ____ 5. π is ____ 6. log20152015 = ____ 7. The reciprocal of two irrational numbers is ____ 8. The decimal expansion of 17/18

2
by sai148
prime factor is 23

2015-04-01T18:34:09+05:30
2.60=2.3.2.5
135=3.3.3.5

required no is HCF
HCF =product of least powers of common factors
=3.5=15
so,highest possible value is 15
2015-04-01T20:31:49+05:30

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1)  prime factors of  2 * 7 * 11 * 17 * 23  +  23
N   =  ( 2 * 7 * 11 * 17 + 1)  * 23 = 2619 * 23
2619 is divisible by 3.  so  N = 3 * 873 * 23 = 3 * 3 * 291 * 23
= 3 * 3 * 3 * 97 * 23
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2)
60 balls must be distributed / divided among N boys equally.
135 bats must be distributed / divided among N boys equally.
So N is the higher common factor of 60 and 135.
60 = 5 * 2 * 2 * 3
135 =  5 * 3 *  3 * 3
HCF = 5 * 3 = 15              =>  N  = 15
so each boys will get  4 balls and 7 bats.
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3)  there is no diagram given.
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4.        12 = 2 * 2 * 3          and
42 = 2 * 3 * 7
LCM  of 12 and 42 is = 2 * 2 * 3 * 7 = 84
10 m + 4 = 84    =>  10 m = 80    =>  m = 8
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5) π = 22/7    about.    Pi is the ratio of circumference of a circle to its diameter.
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6)  Log 20152015  = 7.304  by calculation.
= Log (2015 * 10001)
= Log 2015 + log 10001
= Log (5 * 13 * 31) + log 10001
= Log 5 + log 13 + log 31 +Log 10001
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7)  reciprocal of an irrational number is also irrational number.
Ration of two irrational numbers can be rational or irrational.
what is meant by the reciprocal of two irrational numbers. ??
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8)    0.9444..

decimal expansion of  17/18 =
18  ) 1 7. 0 0 0 0 ( 0.944..
1 6  2
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8 0
7 2
====
8 0
7 2
======