- 6. If a:b=2:5, b:c=3:7 and c:d=1:3 find a:b:c:d?
A.6:15:25:115
B.6:15:35:115
C.6:15:35:105
D.None of these
Answer & Explanation
Answer: Option C 
a:b = 2:5, b:c = 3:7, c:d = 1:3
2:5
3:7
( a = 2 × 3 = 6, b = 5 × 3 = 15 and c = 5 × 7 = 35)
(a = a × b, b= b × b and c= b × c)
a:b:c = 6 : 15 : 35
a:b:c = 6 : 15 : 35 and c:d = 1 : 3
(Note: First a,b,c multiplication with c means 1 and last c means 35
multiplication with d means 3
a:b:c:d = 6:15:35:105
View Answer
- 7. If 4a = 16b and 9b = 13c, Find a:b:c?
A.52:13:7
B.13:7:52
C.7:13:52
D.None of these
Answer & Explanation
Answer: Option A
(4a = 16b ==> a/b = 16/4)
and (9b = 13c ==> b/c = 13/7)
==> a:b = 16:4 and b:c = 13:7
a:b:c = 208:52:28 = 52:13:7
View Answer
- 8. If 0.6:1.4 :: 2:4:x, then x=?
A.56
B.5.6
C.0.56
D.0.056
Answer & Explanation
Answer: Option B
0.6 × x = 2.4 × 1.4
x = (2.4 × 1.4)/0.6 = 24/10 × 17/10 × 1/(6/10)
24/10 × 14/10 × 10/6
2/5 × 14 = 28/5 = 5.6
View Answer
- 9. If x:y=9:4 then (7x-3y) : (7x+3y)=?
A.51:76
B.6:13
C.51:75
D.None of these
Answer & Explanation
Answer: Option C
x/y = 9/4 (Given)
(7x − 3y)/(7x + 3y)
7(x/y) − 3/7(x/y)+3
( on dividing Nr and Dr by y)
(7(9/4) − 3)/(7(9/4) + 3)
(63/4 − 3/1)/(63/4 + 3/1)
[(63 − 12)/4]/[(63 + 12)/4] = 51/75
(7x-3y) : (7x+3y) = 51:75
View Answer
- 10. The ratio of two numbers is 5:4 and their sum is 54. The greater of the two numbers is?
A.36
B.24
C.30
D.None of these
Answer & Explanation
Answer: Option D
5:4
Total parts = 9
= 9 parts --> 54 (9 × 6 = 54)
= 1 part ---->6 (1 × 6 = 6)
= The greater of the two number is = 5
= 5 parts ----> 30 (5 × 6 = 30)
View Answer
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