Ratio, Proportion and Variation 2
Q1. If x / (y + z) = y / ( x + z ) = z / ( x + y) , then each fraction is equal to
i. –1
ii. 1/2
iii. 1
a. i and ii only
b. ii and iii only
c. i , ii and iii only
d. None of these
Q2. The ratio of the present ages of a man and his wife is 5 : 4. If after 5 years the man get divorce and marry to a lady of 6/7 age of his first wife then what ‘ll be the ratio of the man and his new wife after 10 years of his second marriage?
a. 11: 8 b. 9 : 7 c. 17: 19 d. None of these
Q3. Rama would be aged 20 years from hence what is mother is now. And at that time his age will be half of his father’s then age. Ram’s mother was half his father’s age when Ram was born. What is the mother’s age?
a. 30 b. 40 c. 48 d. 52
Q4. The average age of the students in a class of 50 is 13. The weight of each student is directly proportional to the height. A 165 cm tall student has a weight of 33kg. The average weight of the class is
a. 33kg b. 39kg c. 36kg d. Data Insufficient
Q5. Two numbers a and b are in the ratio 5 : 3 . The large number is 36 more than half the difference of the two numbers. What are the two numbers?
a. 45 and 27 b. 30, 18 c. a or b d. None of these
Q6. Rs. 209 was intended to be divided among A, B and C in the ratio 2 : 4 : 5. By mistake, it got divided in the reciprocal of the intended ratio. Find the gain of A due to this mistake?
a. Rs. 48 b. Rs. 72 c. Rs. 56 d. Rs. 60
Q7. If
a^2 = by + cz
b^2 = ax + cz
c^2 = by + ax
then x/(a+x) + y/(b+y) + z/(c+z) = ?
a. 1 b. 0 c. 2 d. abc
Q8. P works twice as fast as Q, whereas P and Q together can work three times as fast R. If P, Q and R together work on a job, in what ratio should they share the earnings ?
a. 2 : 1 : 1 b. 4 : 2 : 1 c. 4 : 3 : 2 d. 4 : 2 : 3
Q9. A, B and C enter into a partnership. A contributes 1/3 of the total capital while B contributes as much as A and C together. If the profit for the year is Rs. 72,000 , how much will C receive?
a. Rs. 12,000 b. Rs. 24,000
c. Rs. 36,000 d. Rs. 18,000
n/a
Q6. Rs. 209 was intended to be divided among A, B and C in the ratio 2 : 4 : 5. By mistake, it got divided in the reciprocal of the intended ratio. Find the gain of A due to this mistake?
a. Rs. 48 b. Rs. 72 c. Rs. 56 d. Rs. 60
In correct part a=38,b=76,c=95
In In-correct part a=110,b=55,c=44
so Gain of A=72
Little Star
n/a
Q9. A, B and C enter into a partnership. A contributes 1/3 of the total capital while B contributes as much as A and C together. If the profit for the year is Rs. 72,000 , how much will C receive?
a. Rs. 12,000 b. Rs. 24,000
c. Rs. 36,000 d. Rs. 18,000
if Total amount=x
then A=(1/3)x
B=A+C
so (1/3)x+(1/3)x+C+C=x
so C=x/6
so profit of C=12000
Little Star
n/a
Q8. P works twice as fast as Q, whereas P and Q together can work three times as fast R. If P, Q and R together work on a job, in what ratio should they share the earnings ?
a. 2 : 1 : 1 b. 4 : 2 : 1 c. 4 : 3 : 2 d. 4 : 2 : 3
ans=2:1:1
n/a
Q1. If x / (y + z) = y / ( x + z ) = z / ( x + y) , then each fraction is equal to
i. –1
ii. 1/2
iii. 1
a. i and ii only
b. ii and iii only
c. i , ii and iii only
d. None of these
Only (-1) & (1/2) satisfy
so ans=Option (a)
n/a
Q4. The average age of the students in a class of 50 is 13. The weight of each student is directly proportional to the height. A 165 cm tall student has a weight of 33kg. The average weight of the class is
answer: D
Data Insufficient
Q3. Rama would be aged 20 years from hence what is mother is now. And at that time his age will be half of his father’s then age. Ram’s mother was half his father’s age when Ram was born. What is the mother’s age?
a. 30 b. 40 c. 48 d. 52
mother age=40
Litttle star
n/a
Q1. If x / (y + z) = y / ( x + z ) = z / ( x + y) , then each fraction is equal to
i. –1
ii. 1/2
iii. 1
a. i and ii only
b. ii and iii only
c. i , ii and iii only
d. None of these
If x=y=z=1 dn we get 1/2...
If x+y+z=0 dn we get -1....
Bt iii is nt satisfied....
So option (a) is correct....
Regards,
Dipanjan.....
n/a
M = 5x and W1 = 4x
After 5 year, M = 5x + 5 and W1=first wife= (4x + 5)
Second wife = 6/7 (4x + 5) = w2
After another 10 year, M/W2 = (35x + 105)/(24x + 30)
So ans d None of these
Rather it shd be Cant be determined.
n/a
Q7. If
a^2 = by + cz
b^2 = ax + cz
c^2 = by + ax
then x/(a+x) + y/(b+y) + z/(c+z) = ?
a. 1 b. 0 c. 2 d. abc
Soln. AS a^2+ax=ax+by+cz =>a(a+x)=ax+by+cz.....(i)
Apply d same for othr twos we get,
b(b+y)=ax+by+cz....(ii)
c(c+z)=ax+by+cz....(iii)
(i)/(ii) we get (a+x)=b(b+y)/a....(iv)
(ii)/(iii) we get (c+z)=b(b+y)/c...(v)
Drfor x/(a+x) + y/(b+y) + z/(c+z)
= ax/b(b+y) + y/(b+y) + zc/b(b+y)[put d valus of (a+x)& (c+z)]
=(ax+by+cz)/b(b+y)=1[Take d value of b(b+y) frm eqn no. (ii)]
So option (a) is correct.....
Giv ur best to d world...
Nd d best will cm back to u.....
Regards,
Dipanjan.....
n/a
Q5. Two numbers a and b are in the ratio 5 : 3 . The large number is 36 more than half the difference of the two numbers. What are the two numbers?
a. 45 and 27 b. 30, 18 c. a or b d. None of these
(a/b)=(5/3)
now
a=36+(1/2)(a-b)
so b=27 and a=45
Little Star
n/a
n/a