401. If A : B = 2 : 1 and A : C = 1 : 3, then A : B : C is

1. 1. 1 : 3 : 2

   
   
   

   2. 1 : 2 : 6

   
   
   

   3. 3 : 2 : 1

   
   
   

   4. 2 : 1 : 6

   
   
   

---

1. View Hint View Answer Discuss in Forum

   A : B = 2 : 1
   A : C = 1 : 3 = 2 : 6
   ∴  A : B : C = 2 : 1 : 6

   Correct Option: D

   A : B = 2 : 1
   A : C = 1 : 3 = 2 : 6
   ∴  A : B : C = 2 : 1 : 6

---

402. The mean proportion of 1.21 and 0.09 is

1. 1. 3-3

   
   
   

   2. 0-33

   
   
   

   3. 3-03

   
   
   

   4. 0-033

   
   
   

---

1. View Hint View Answer Discuss in Forum

   1.21	=	x
   x		0.09

   
   Where = x = mean Proportion
   ⇒  x² = 121 × 0.09
   ⇒  x² = 1.1 × 1.1 × 0.3 × 0.3
   ⇒  x = 1.1 × 0.3 = 0.33

   Correct Option: B

   1.21	=	x
   x		0.09

   
   Where = x = mean Proportion
   ⇒  x² = 121 × 0.09
   ⇒  x² = 1.1 × 1.1 × 0.3 × 0.3
   ⇒  x = 1.1 × 0.3 = 0.33

---

---

403. The numbers x, y and z are respectively proportional to 2, 3 and 5 and the sum of x, y and z is 80. If the number z is given by the equation z = ax – 8, then a is

1. 1. 6

   
   
   

   2. 3

      2

   
   
   

   3. 3

   
   
   

   4. 5

      2

   
   
   

---

1. View Hint View Answer Discuss in Forum

   According to the question,
   x = 2k
   y = 3k
   z = 5k
   ∵  x + y + z = 80
   ⇒  2k + 3k + 5k = 80
   ⇒  10k = 80
   

   ⇒  k =	80	= 8
   	10

   
   ∴  x = 2 × 8 = 16
   y = 3 × 8 = 24
   z = 5 × 8 = 40
   ∴  z = ax – 8
   ⇒  40 = a × 16 – 8
   ⇒  16a = 40 + 8 = 48
   

   ⇒  a =	48	= 3
   	16

   Correct Option: C

   According to the question,
   x = 2k
   y = 3k
   z = 5k
   ∵  x + y + z = 80
   ⇒  2k + 3k + 5k = 80
   ⇒  10k = 80
   

   ⇒  k =	80	= 8
   	10

   
   ∴  x = 2 × 8 = 16
   y = 3 × 8 = 24
   z = 5 × 8 = 40
   ∴  z = ax – 8
   ⇒  40 = a × 16 – 8
   ⇒  16a = 40 + 8 = 48
   

   ⇒  a =	48	= 3
   	16

---

404. Rs. 2420 were divided among A, B and C so that A : B = 5 : 4 and B : C = 9 : 10 then C gets

1. 1. Rs. 680

   
   
   

   2. Rs. 800

   
   
   

   3. Rs. 900

   
   
   

   4. Rs. 950

   
   
   

---

1. View Hint View Answer Discuss in Forum

   A : B = 5 : 4 = 45 : 36
   B : C = 9 : 10 = 36 : 40
   ∴  A : B : C = 45 : 36 : 40
   Sum of the terms of ratio
   = 45 + 36 + 40 = 121
   

   ∴  C’s share = Rs.		40	× 2420
   		121

   
   = Rs. 800

   Correct Option: B

   A : B = 5 : 4 = 45 : 36
   B : C = 9 : 10 = 36 : 40
   ∴  A : B : C = 45 : 36 : 40
   Sum of the terms of ratio
   = 45 + 36 + 40 = 121
   

   ∴  C’s share = Rs.		40	× 2420
   		121

   
   = Rs. 800

---

---

405. Among 132 examinees of a certain school, the ratio of successful to unsuccessful students is 9 : 2. Had 4 more students passed, then the ratio of successful to unsuccessful students would have been

1. 1. 14 : 3

   
   
   

   2. 14 : 5

   
   
   

   3. 28 : 3

   
   
   

   4. 28 : 5

   
   
   

---

1. View Hint View Answer Discuss in Forum

   Successful students
   

   ⇒	2	× 132 = 24
   	11

   
   When 4 more students succeed,
   Required ratio
   = (108 + 4) : (24 – 4)
   = 112 : 20 = 28 : 5

   Correct Option: D

   Successful students
   

   ⇒	2	× 132 = 24
   	11

   
   When 4 more students succeed,
   Required ratio
   = (108 + 4) : (24 – 4)
   = 112 : 20 = 28 : 5

---