241. A mason can build a wall in 70 hours. After 7 hours he takes a break. What fraction of the wall is yet to be built?

1. 1. 0.9

   
   
   

   2. 0.8

   
   
   

   3. 0.5

   
   
   

   4. 0.75

   
   
   

---

1. View Hint View Answer Discuss in Forum

   ∵  A mason makes a wall in 70 hours.
   

   ∴  Part of wall built by the mason in 7 hours =	7
   	70

   
   

   =	1
   	10

   
   

   ∴  Remaining part = 1 –	1
   	10

   
   

   =	9	= 0.9
   	10

   Correct Option: A

   ∵  A mason makes a wall in 70 hours.
   

   ∴  Part of wall built by the mason in 7 hours =	7
   	70

   
   

   =	1
   	10

   
   

   ∴  Remaining part = 1 –	1
   	10

   
   

   =	9	= 0.9
   	10

---

242. If

     4	th of a number exceeds its
     5

     
     

     3	th by 8, then the number is :
     4

1. 1. 130

   
   
   

   2. 120

   
   
   

   3. 160

   
   
   

   4. 150

   
   
   

---

1. View Hint View Answer Discuss in Forum

   Let the number be x.
   According to the question,
   

   4x	=	3x	= 8
   5		4

   
   

   ⇒	16x − 15x	= 8
   	20

   
   

   ⇒	x	= 8
   	20

   
   ⇒  x = 20 × 8 = 160

   Correct Option: C

   Let the number be x.
   According to the question,
   

   4x	=	3x	= 8
   5		4

   
   

   ⇒	16x − 15x	= 8
   	20

   
   

   ⇒	x	= 8
   	20

   
   ⇒  x = 20 × 8 = 160

---

---

243. If 1/2 is added to a number and the sum is multiplied by 3, the result is 21. Then the number is :

1. 1. 6.5

   
   
   

   2. 5.5

   
   
   

   3. 4.5

   
   
   

   4. – 6.5

   
   
   

---

1. View Hint View Answer Discuss in Forum

   	x +	1		× 3 = 21
   		2

   
   

   ⇒  x +	1	=	21	= 7
   	2		3

   
   

   ⇒  x = 7 –	1	=	13	= 6.5
   	2		2

   Correct Option: A

   	x +	1		× 3 = 21
   		2

   
   

   ⇒  x +	1	=	21	= 7
   	2		3

   
   

   ⇒  x = 7 –	1	=	13	= 6.5
   	2		2

---

244. The sum of three numbers is 2, the 1st number is 1/2 times the 2nd number and the 3rd number is 1/4 times the 2nd number. The 2nd number is

1. 1. 7

      6

      
      

   
   
   

   2. 8

      7

      
      

   
   
   

   3. 9

      8

      
      

   
   
   

   4. 10

      9

   
   
   

---

1. View Hint View Answer Discuss in Forum

   Let second number be x.
   

   ∴  First number =	x
   	2

   
   

   Third number =	x
   	4

   
   

   ∴  x +	x	+	x	= 2
   	2		4

   
   

   ⇒	4x + 2x + x	= 2
   	4

   
   

   ⇒  7x = 8 ⇒ x =	8
   	7

   
   

   Correct Option: B

   Let second number be x.
   

   ∴  First number =	x
   	2

   
   

   Third number =	x
   	4

   
   

   ∴  x +	x	+	x	= 2
   	2		4

   
   

   ⇒	4x + 2x + x	= 2
   	4

   
   

   ⇒  7x = 8 ⇒ x =	8
   	7

   
   

---

---

245. The numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator 7 + c (c > –7) is a constant, then the minimum value of the fraction is

1. 1. 5

   
   
   

   2. 1

      5

   
   
   

   3. –5

   
   
   

   4. − 1

      5

   
   
   

---

1. View Hint View Answer Discuss in Forum

   Let the first number be x.
   ∴  Second number = x + 2
   According to the question,
   x + 2 = 7 + c – 4 = 3 + c
   ⇒  x = 1 + c
   ∴  Fraction
   

   =	x(x + 2)	=	(1 + c) (3 + c)
   	7 + c		7 + c

   
   For the minimum value,
   –3 < c < –1
   ∴  c = –2
   ∴  Required value of fraction = –
   

   ∴  Required value of fraction = –	1
   	5

   Correct Option: D

   Let the first number be x.
   ∴  Second number = x + 2
   According to the question,
   x + 2 = 7 + c – 4 = 3 + c
   ⇒  x = 1 + c
   ∴  Fraction
   

   =	x(x + 2)	=	(1 + c) (3 + c)
   	7 + c		7 + c

   
   For the minimum value,
   –3 < c < –1
   ∴  c = –2
   ∴  Required value of fraction = –
   

   ∴  Required value of fraction = –	1
   	5

---