What is the sum of all positive integers lying between 200 and 400 that are multiples of 7?


A) 8729

B) 8700

C) 8428

D) 8278

Correct Answer:
A) 8729

Description for Correct answer:
Least number divisible by 7 and above

200 is 203.

Greatest number divisible of 7 and below

400 is 399.

Total numbers divisible by 7 between

200 to 400 are 29

Now, sum of n terms of AP = \( \Large \frac{n}{2} \) (a + 1)

where, a = 203, 1=399 and n = 29

= \( \Large \frac{29}{2} \)(203+399)

= 8729

Part of solved Number System questions and answers : >> Aptitude >> Number System








Comments

No comments available




Similar Questions
1). Consider the following statements
I. To obtain prime numbers less than 121, we are to reject all the multiples of 2, 3, 5 and 7.
ll. Every composite number less than 121 is divisible by a prime number less than 11.
Which of the statements given above is/are correct?
A). Only I
B). Only II
C). Both I and II
D). Neither I nor ll
-- View Answer
2). Consider the following statements
I. 7710312401 is divisible by 11.
II. 173 is a prime number.
Which of the statements given above is/are correct?
A). Only l
B). Only II
C). Both I and II
D). Neither I nor ll
-- View Answer
3). If k is a positive integer, then every square integer is of the form
A). Only 4k
B). 4k or 4k + 3
C). 4k+1 or 4k+ 3
D). 4k or 4k+1
-- View Answer
4). Every prime number of the form 3k + 1 can be represented in the form 6m + 1 (where k, m are integers), when
A). k is odd
B). k is even
C). k can be both odd and even
D). No such form is possible
-- View Answer
5). If cost of 24 oranges is Rs. 72, then find out the cost of 120 oranges.
A). Rs.18
B). Rs.360
C). Rs.172
D). Rs.500
-- View Answer


6). If cost of 15 eggs is Rs.75, then find out the cost of 4 dozens eggs.
A). Rs.240
B). Rs.300
C). Rs.150
D). Rs.185
-- View Answer
7). A worker makes a toy in every 2 h. If he works for 80 h, then how many toys will he make?
A). 40
B). 54
C). 45
D). 39
-- View Answer
8). 12 men can do a piece of work in 24 days. How many days are needed to complete the work, if 8 men are engaged in the same work?
A). 28
B). 36
C). 48
D). 52
-- View Answer
9). If 45 m of a uniform rod weighs 171 kg, then what will be the weight of 12 m of the same rod?
A). 49 kg
B). 42.5 kg
C). 55 kg
D). 45.6 kg
-- View Answer
10). 22 men can complete a job in 16 days. In how many days, will 32 men complete that job?
A). 14
B). 12
C). 16
D). 11
-- View Answer