Question
Determine the sum of all three-digit numbers which are
divisible by 8 and the sum of their digits is divisible by '3'.Solution
ATQ, Since, the sum of digits of the number is divisible by '3', the number must be divisible by '3' too. LCM (8 and 3) = 24 So, we need to find the sum of all three-digit numbers which are divisible by '24'. So, first three digit multiple of 24 = 120 And, last three-digit number that is divisible by 24 = 984 General term of an arithmetic progression = a + (n - 1) × d {Where 'a' is the first term, 'n' is the number of terms and 'd' is the common difference}. 984 = 120 + (n - 1) × 24 Or, 864 = 24n - 24 Or, 888 = 24n So, n = 37 So, required sum = (37/2) × (120 + 984) = 20,424
Which of the following can be the correct conclusion drawn from the expression?
‘R + S % T $ U @ V’?
If P is the father of I, then which of the following symbol will correct it in the given blank?
Q % P __ O # IIf (A @ B) means A is son of B, (A # B) means A is father of B, (A & B) means A is mother of B, (A $ B) means A is brother of B. If F @ G & H # I $ J@ ...
Answer the following question based on the direction given below. If 'A#B' means 'A is father of B'. 'A@B' means 'A is brother of B'. 'A$B' means 'A is ...
Answer the following question based on the direction given below.
If 'A # B' means 'A is the son of B' 'A $ B' means 'A is the sister of B' 'A & ...
If 'A + B' means that A is the brother of B, 'A X B' means that A is the daughter of B, 'A ÷ B' means that A is the father of B, then which of the foll...
If A $ B means A is son of B, A # B means A is brother of B and A * B means A is father of B, then what does P # Q * R $ S mean?
A # B' means 'A is the father of B'. 'A @ B' means 'A is the husband of B'. 'A & B' means 'A is the daughter-in-law of B'. 'A $ B' means 'A is the of si...
If "D $ E @ F & G # H $ I % J", then how is F related to J?
'A # B' means 'A is the father of B'. 'A @ B' means 'A is the son of B'. 'A & B' means 'A is the wife of B'. 'A % B' means 'A is the sister of B'. If B ...
