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Understand the concepts of arithmetic

This article is in continuation to the last article focusing on the ratio and proportion topic. Here are some practice questions along with solutions on the ratio and proportion topic that will help you in your preparation for the State government recruitment jobs.

 

1. What number should be added to or subtracted from each term of the ratio 17 : 24 so that it becomes equal to 1 : 2 ?

a) 7 is added b) 10 is added c) 5 is subtracted
d) 10 is subtracted

Ans: d

Solution: Let the number x be added
17+x/24+x = 1/2
34+2x = 24+x
2x – x = 24 – 34
x = -10
Hence, 10 should be subtracted

2. If p : q : r = 1 : 2 : 4 then 5p2+q2+r2 is equal to

a) 5 b) 5p c) 2
d) None of the above

Ans: b

Solution: p = k, q = 2k,
r = 4k
= 5p2+q2+r2
= 5k2+4k2+16k2
= 25k2
= 5k
= 5p

3. If a, b, c, d and e are in continued proportion, then a/e is equal to

a) a3/b3 b) b3/a3
c) a4/b4 d) b4/a4

Ans: c

Solution : a/b = b/c = c/d =d/e
e/d = d/c = c/b =b/a
c= b2/a
d = c2/b = b4/a2. 1/b = b3/a2
e = d2/c = b6/a4. a/b2 = b4/a3

 

M Venkat
Director
MVK Publications
Dilsukhnagar
7671002120

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