The sum of two numbers is 18 while the sum of their squares is 164. Find the sum of the cubes of those two numbers.
Let the number is a and b. ATQ- a+b =18 a2+b2 =164 (a+b)2 = a2+b2 +2ab. 18×18 =164+2ab 2ab =324-164=160. ab =80 (10,8) is the co prime factor of 80. So, a=10, and b =8 Now, a3+b3=1000+512=1512.
Six boys-P, Q, R, S, T and U- are sitting around a circular table, not necessarily in the same order. P and S are sitting together. Neither Q nor T is s...
Select the option figure which is embedded in the given figure (rotation is NOT allowed).
Statement: E> T ≥ H = N> I ≤ C
Conclusion:
i) E> i
ii) T Select the correct option from the following.
Find the wrong number in the series.
12, 237, 406, 527, 604, 657
Six friends, C, E, G, I, K and M, are sitting around a circular table facing towards the centre and at equal distance from each other (not necessarily i...
Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE : Operations should be performed ...
What should come in place of '?' in the given series?
77 754 ? 75224 752224 7522224 75222224
Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and th...
Select the number triad that is analogous to the given triads.
(64, 8, 65), (125, 27, 89)
Select the missing term from the given number series:
1, 2, ?, 10, 17, 26 ...