## Thursday, 23 March 2017

### QUANT MIX QUIZ

1.A bag contains some Rs. 5 Coins. Rs. 2 coins and Rs. 1 coins with total number of
coins being 52, and the total amount being Rs. 125. The number of five rupee and two
rupee coins is 37. The numbers of Rs. 5 coins are ………
(a) 12
(b) 15
(c) 18
(d) 21
(e)None of these

2.The sum of the ages of A and B is four-third the age of C. The age of B is two-thirds
the age of C. If the sum of the ages of the three persons is 35 years, find the age of B.

(a) 20 years
(b) 10 years
(c) 18 years
(d) 15 years
(e)None of these

3.There are four numbers P, Q, R and S. P is of the total of Q, R and S. Q is  is of the
total of the P, R and S. R is  of the total of P, Q and S. If the total of the four numbers is
3480,then find the value of S.
(a) -2124
(b) -1740
(c) 1567
(d) Cannot be determined
(e)None of these

4.Ajay and Vijay have some marbles with them. Ajay told Vijay “if you give me x
marbles, both of us will have equal number of marbles”. Vijay then told Ajay “if you
give me twice as many marbles, I will have 30 more marbles than you would”. Find x.
(a) 4
(b) 5
(c) 6
(d) 8
(e)None of these

5.A man travelled a total distance of 1800 km by plane, train and bus.  He travelled
one –third of the whole trip by plane and the distance travelled by train is three-fifth of
the distance travelled by bus. Find the distance travelled by bus.
(a) 450 km
(b) 850 km
(c) 1200 km
(d) 750 km
(e)None of these

6.Ajay bought a total of 12 oranges and 18 bananas for Rs. 84. When the cost of each
orange doubles, he could buy 6 oranges and 16 bananas for Rs. 80. Find the cost of
each banana.
(a) Rs. 3
(b) Rs. 2
(c) Rs. 4
(d) Rs. 5
(e)None of these

7.The cost of one pen and two books together is Rs. 70. The cost of three pens and
nine books together is Rs. 300. Find the difference between the cost of a book and a
pen.
(a) Rs. 30
(b) Rs. 20
(c) Rs. 10
(d) Rs. 25
(e) None of these

8.The present average age of a couple and their daughter is 35 years. Fifteen year from
now, the age of the number will be equal to the sum of present ages of the father and
the daughter. Find the present age of the mother.
(a) 43 years
(b) 40 year
(c) 48 years
(d) 45 years
(e)None of these

9.The cost of three pens, four erasers and ten sharpeners is Rs. 75. The cost of six
pens. Seven erasers and twenty sharpeners is Rs. 146. Find the cost of each eraser.
(a) Rs. 3
(b) Rs. 4
(c) Rs. 5
(d) Rs. 6
(e)None of these

10.Shyam and Ram have some chocolates with each of them, if shyam gives 5
chocolates of Ram, both will have equal number of chocolates. If Ram gives the same
number of chocolates to shyam, shyam would have twice as many    chocolates as
Ram. Find the number of chocolates Ram has.
(a) 25
(b) 30
(c) 35
(d) 20
(e)None of these

1.(a)
Let the number of Rs. 5 coins be x, Rs. 2 coins be y and Rs. 1 coins be Z.
x + y + z = 52  ………………….. (1)
5x + 2y + z = 125  …………………… (2)
x  + y = 10 …………..(3) (2) ……….(1)
Gives that 4x + y = 73
x  + y = 37
3x = 36
x = 36/3=12
Number of Rs. 5 coins = 12

2.(b)
Let the age of A, B and C be a, b and c respectively.
a + b = 4/3c,  b = 2/3c
a + b + c = 35 = 4/3c + c = 35
7/3c = 35
C = 15, b = 2/3c = 10.
3.(b)
P = Q+ R+ S
Q = P+ R+ S
R = P+ Q+ S
By adding above all, we get
P+ Q+ R = 2(P+ Q+ R)+ 3S
-(P+ Q+ R) = 3S
Since
P+ Q+ R+ S = 3480
-3S+ S = 3480
hence, S = -1740

4.(b)
Let the number of marbles with Ajay and Vijay initially be A and V. If Vijay gives x marble to
Ajay then vijay and Ajay would have V – x and A + x marbles respectively.
V – x = A + x …………………….. (1)
If Ajay gives 2x marble to Vijay then Ajay and Vijay would have A – 2x and V + 2x marbles
respectively.
V + 2x –(A-2x) = 30 = V – A + 4x = 30 ……………… (2)
From (1) we have V -  A = 2x
Substituting V – A = 2x in equation (2)
6x = 30 = x = 5.

5.(d)
Total distance travelled = 1800 km
Distance travelled by plane = 600 km
Let distance travelled by bus = x
Distance travelled by train = 3x/5
x + 3x/5+ 600=1800
8x/5=1200=x=750 km

6.(b)
Let the cost of each orange and each banana be a and b respectively.
12a + 18b = 84
If the cost of each orange doubles, it becomes 2a
6(2a) + 16b = 80
12a + 16b = 80
Substracting equation (2) from (1) we get 2b = 4
hence, cost of each banana = 2 Rs.

7.(b)
Let the price of book be y and price of pen be x.
x + 2y = 70
3x + 9y =300
By solving the equations we get x = 10 and y = 30
The difference between the cost of book and pen is 30 – 10 = Rs. 20

8.(d)
Let the present age of the father, mother and daughter be f, m and d respectively.
(f+m+d)/3=35
f + m + d = 105  …………………….. (1)
m + 15 = f + d
Substituting f + d as m + 15 in (1),
we get 2m + 15 = 105
2m = 90 =m = 45 years

9.(b)
Let the cost of each pen, eraser and sharpener b p, e and s respectively.
3p + 4e + 10s = 75
6p + 7e + 20x = 146
Multiplying the first of the above equations by 2 and subtracting the second equation from it,
we get e = 4

10.(a)
Let the number of chocolates with shyam and Ram be S and R respectively. If Shyam gives
5 chocolates to Ram, he would have S – 5 chocolates and Ram would have R + 5 chocolates
So S – 5 = R + 5
S – R = 10  …………………… (1)
If Ram gives 5 chocolates to Shyam, he would have R – 5 chocolates and Shyam would
have S + 5 chocolates.
S + 5 = 2 (R – 5)
2R – S = 15
Adding (1) and (2) we get R = 25.

Number of chocolates with Ram = 25