

72*72 =49*49 =2401
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Explanation = no of chits =25 sarika and ragesh chits aremultiples of 3 and 7 3 multiples up to 25 =8 7multiples up to 25 =2 Total multiples= 8+2 =10 Required Chances=10/25
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Twin primes are pairs of primes which differ by two. The first twin primes are {3,5}, {5,7}, {11,13} and {17,19}. Ans: 87,89
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3p=p(1+r/100)
now as per ques 3p^3=(p(1+r/100))^3 thus (1+r/100)=27,,,,
hence ans is 27 times the principal.
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There is a chance that there is really 6 on die and he is speaking truth = 1/6 * 3/4
Also there is a chance that there is number other than 6 on die and he is lying = 5/6 *1/4
Adding these two we get = 15/24 = 3/8
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