431. In an office, 40% of the staff is female. 70% of the female staff and 50% of the male staff are married. The percentage of the unmarried staff in the office is

1. 1. 64

   
   
   

   2. 60

   
   
   

   3. 54

   
   
   

   4. 42

   
   
   

---

1. View Hint View Answer Discuss in Forum

   Let Total staff strength in the office = 100
   According to question ,
   Numbers of Females = 40
   Numbers of Males = 60
   

   Married females =	40 × 70	= 28
   	100

   
   

   Correct Option: D

   Let Total staff strength in the office = 100
   According to question ,
   Numbers of Females = 40
   Numbers of Males = 60
   

   Married females =	40 × 70	= 28
   	100

   
   Unmarried females = 40 – 28 = 12
   Unmarried males = 30
   ∴ Unmarried staff = 30 + 12 = 42
   i.e. 42%
   Hence , The percentage of the unmarried staff in the office is 42% .

---

432. If 60% of A = 30% of B, B = 40% of C, C = p% of A, then value of p is

1. 1. 200

   
   
   

   2. 500

   
   
   

   3. 800

   
   
   

   4. 300

   
   
   

---

1. View Hint View Answer Discuss in Forum

   Given Here , 60% of A = 30% of B, B = 40% of C, C = p% of A
   According to the question,
   

   ⇒	60A	=	30B
   	100		100

   
   

   ⇒	3A	=	3B	=	3	×	40	C
   	5		10		10		100

   
   

   ⇒	3A	=	3C
   	5		25

   
   

   ⇒	3A	=	3	× A ×	p
   	5		25		100

   
   
   

   Correct Option: B

   Given Here , 60% of A = 30% of B, B = 40% of C, C = p% of A
   According to the question,
   

   ⇒	60A	=	30B
   	100		100

   
   

   ⇒	3A	=	3B	=	3	×	40	C
   	5		10		10		100

   
   

   ⇒	3A	=	3C
   	5		25

   
   

   ⇒	3A	=	3	× A ×	p
   	5		25		100

   
   

   ⇒	3	=	3p
   	5		2500

   
   ⇒ 5p = 2500
   

   ⇒ p =	2500	= 500
   	5

   
   

---

---

433. A supply of juice lasts for 35 days. If its use is increased by 40% the number of days would the same amount of juice lasts, is

1. 1. 25 days

   
   
   

   2. 30 days

   
   
   

   3. 24 days

   
   
   

   4. 27days

   
   
   

---

1. View Hint View Answer Discuss in Forum

   As per the given details in question,
   

   Required time =	35 × 100
   	140

   Correct Option: A

   As per the given details in question,
   

   Required time =	35 × 100	= 25 days
   	140

---

434. If p% of q% of 80 is the same as 25% of 900, then the value of pq is

1. 1. 30100

   
   
   

   2. 32500

   
   
   

   3. 28125

   
   
   

   4. 34200

   
   
   

---

1. View Hint View Answer Discuss in Forum

   According to question ,
   

   80 ×	q	×	p
   	100		100

   
   

   =	900 × 25
   	100

   
   

   ⇒	pq × 80	= 9 × 25
   	10000

   
   

   Correct Option: C

   According to question ,
   

   80 ×	q	×	p
   	100		100

   
   

   =	900 × 25
   	100

   
   

   ⇒	pq × 80	= 9 × 25
   	10000

   
   

   ⇒ pq =	9 × 25 × 10000	= 28125
   	80

   
   

---

---

435. What percent of 15 hours is 18 seconds ?

1. 1. 30%

   
   
   

   2. 	1	%
      	30

   
   
   

   3. 36%

   
   
   

   4. 	1	%
      	36

   
   
   

---

1. View Hint View Answer Discuss in Forum

   Given Here , y% of 15 hours = 18 seconds
   ⇒ y% of 15 × 60 × 60 seconds = 18 seconds
   

   ⇒	15 × 60 × 60 × y	= 18
   	100

   
   

   ⇒ y =	18
   	15 × 6 × 6

   
   

   Correct Option: B

   Given Here , y% of 15 hours = 18 seconds
   ⇒ y% of 15 × 60 × 60 seconds = 18 seconds
   

   ⇒	15 × 60 × 60 × y	= 18
   	100

   
   

   ⇒ y =	18
   	15 × 6 × 6

   
   

   Required answer =	1	%
   	30

---