If the average of two numbers is 13 and the square root of their product is 12, then the difference between the numbers is:
Sum of the numbers = 13 × 2 = 26 Let the two numbers be a and b So, (a + b) = 26 ----(i) Now, √ab = 12 ⇒ (√ab)2 = 122 ⇒ ab = 144 Now, (a + b)2 = 262 ⇒ a2 + b2 + 2ab = 676 ⇒ a2 + b2 + 2ab - 4ab = 676 - 4 × 144 ⇒ a2 + b2 - 2ab = 676 - 576 ⇒ (a - b)2 = 100 ⇒ (a - b) = 10 ----(ii) From eq (i) and eq (ii) we can say a = 18 and b = 8 Now, Difference of the two numbers = 18 - 8 ⇒ 10 ∴ The difference between the numbers is 10.
If 56 # 83 = 54 and 62 # 57 = 47, then 39 # 58= ?
72 : 90 :: 240 : ?
Select the related number from the given alternatives:
14 : ? :: 13 : 2198
Select the option that is NOT like the given set.
(8, 40, 56)
TABLE: SZAKD: CHAIR:?
Select the option that is related to the third term in the same way as the second term is related to the first term.
BLOCK : LBPKC :: MARGIN : ?
Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster.
<...Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is rela...
Scotland: Golf : : South Korea : ?
Select the option that is related to fourth number in the same way as the first number is related to the second number and the fifth number is related t...
