Ratio, Proportion
- If a : (b+c) = 1 : 3 and c : (a+ b) = 5:7, then b : (a+c) is equal to
-
View Hint View Answer Discuss in Forum
a : (b+c) = 1: 3
⇒ b + c = 3 ⇒ b + c + 1 = 3 + 1 a 1 a 1 ⇒ a + b + c = 3 + 1 = 4 ..... (i) a 1 1
Similarly,a + b = 7 c 5 ⇒ a + b + c = 12 ..... (ii) c 5
On dividing (i) by (ii),c = 4 × 5 = 5 = k ..... (iii) a 12 3
From equation (i), b = 4k∴ b = 4k = 1: 2 a + c 3k + 5k Correct Option: A
a : (b+c) = 1: 3
⇒ b + c = 3 ⇒ b + c + 1 = 3 + 1 a 1 a 1 ⇒ a + b + c = 3 + 1 = 4 ..... (i) a 1 1
Similarly,a + b = 7 c 5 ⇒ a + b + c = 12 ..... (ii) c 5
On dividing (i) by (ii),c = 4 × 5 = 5 = k ..... (iii) a 12 3
From equation (i), b = 4k∴ b = 4k = 1: 2 a + c 3k + 5k
- If a : b = c : d = e : f = 1 : 2, then ( 3a + 5c +7e): (3b + 5d + 7 f ) is equal to
-
View Hint View Answer Discuss in Forum
a = c = e = 1 b d f 2 ∴ 3a = 5c = 7e = 1 3b 5d 7f 2 ∴ 3a + 5c + 7e = 1 = 1 : 2 3b + 5d + 7f 2 Correct Option: D
a = c = e = 1 b d f 2 ∴ 3a = 5c = 7e = 1 3b 5d 7f 2 ∴ 3a + 5c + 7e = 1 = 1 : 2 3b + 5d + 7f 2
- If A : B : C = 2 : 3 : 4, then ratio
A : B : C is equal to B C A
-
View Hint View Answer Discuss in Forum
A : B : C = 2 : 3 : 4
∴ A = 2 , B = 3 , C = 4 = 2 B 3 C 4 A 2 ∴ A : B : C = 2 : 3 : 2 B C A 3 4 1
= 8 : 9 : 24Correct Option: C
A : B : C = 2 : 3 : 4
∴ A = 2 , B = 3 , C = 4 = 2 B 3 C 4 A 2 ∴ A : B : C = 2 : 3 : 2 B C A 3 4 1
= 8 : 9 : 24
-
If A : B = 1 : 3 , B : C = 1 : 5 2 8 3 9 and C : D = 5 : 3 then the ratio A : B : C : D is 6 4
-
View Hint View Answer Discuss in Forum
A : B = 1 : 3 = 4 : 3 = 8 : 6 2 8 B : C = 1 : 5 = 3 : 5 = 6 : 10 3 9 C : D = 5 : 3 = 10 : 9 6 4
∴ A : B : C : D = 8 : 6 : 10 : 9Correct Option: C
A : B = 1 : 3 = 4 : 3 = 8 : 6 2 8 B : C = 1 : 5 = 3 : 5 = 6 : 10 3 9 C : D = 5 : 3 = 10 : 9 6 4
∴ A : B : C : D = 8 : 6 : 10 : 9
- If a : b = b : c, then a4 : b4 is equal to
-
View Hint View Answer Discuss in Forum
a = b b c
⇒ b2 = ac ⇒ b4 = a2c2∴ a4 = a4 = a2 b4 a2c2 c2 Correct Option: B
a = b b c
⇒ b2 = ac ⇒ b4 = a2c2∴ a4 = a4 = a2 b4 a2c2 c2