The number of terms between 11 and 200 which are divisible by 7 but not by 3 are :
A. 18
B. 19
C. 27
D. 28
Answer: Option A
Solution(By Examveda Team)
Multiples of 7 between 11 and 200 are 14, 21, 28, 35, 42, ..... , 189, 196Tm = 196
⇒ 14 + (m - 1) × 7 = 196
⇒ (m - 1) × 7 = 182
⇒ (m - 1) = 26
⇒ m = 27
Multiples of 7 and 3 both, i.e., that of 21 are 21, 42, 63, ....., 189
Tn = 189
⇒ 21 + (n - 1) × 21 = 189
⇒ (n - 1) × 21 = 168
⇒ (n - 1) = 8
⇒ n = 9
∴ Required number of terms = (27 - 9) = 18
Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
Join The Discussion