Quantitative Aptitude Quiz 2017 – Missing Data DI and Caselet DI – Set 6

Directions (Question 5
to 9): Answer
the questions based on the following information.

Nisha,
Nitu, Soha and Sonali are four sisters who have an agreement that they share
all snacks equally among themselves. One day uncle Chowdhary gave a box of
cookies to Nisha. Since the other sisters were not around, Nisha divided the cookies
into four equal parts, ate her share and put the rest into the box. As she was
closing the box, Nitu came in. She took all the cookies from the box and
divided them into four equal parts. Nisha and Nitu ate one part each and put
the rest into the box. Just then, Soha walked in. She took all the cookies form
the box, divided them into four equal parts. The three of them ate their
respective shares and put the rest into the box. Later, when Sonali came, she
divided all the cookies into four equal parts and all the four sisters ate
their respective shares. In total, Sonali ate three cookies.

1. How many cookies, in total, did Soha
eat?

A) 30

B) 12

C) 15

D) 6

E) 4

2. How many cookies, in total, did Nitu
eat?

A) 9

B) 30

C) 39

D) 36

E) 42

3. How many cookies, in total, did Nisha
eat?

A) 32

B) 142

C) 97

D) 71

E) 42

4. If, instead of 3, Sonali ate 27
cookies, what would have been the total number of cookies eaten by Nisha and Nitu?

A) 330

B) 110

C) 990

D) 390

E) 420

Directions (Question 5
to 9): Study the given table carefully to answer the given questions.

Percentage profit or loss is based on the sum of cost price
and transportation cost.

5. The percentage profit on V is 4%. Then what is its
selling price?

A) 80.40

B) 82.80

C) 83.20

D) 74.50

E) 78.40

6. The selling price of X is what per cent of the cost price
of W?

A) 150%

B) 175%

C) 325%

D) 250%

E) 275%

7. What is the ratio of the loss on Y to that on W?

A) 833:500

B) 150:175

C) 65:55

D) 233:155

E) 133:255

8. What is the difference between the selling price of Z and
that of X?

A) 186.3

B) 187.5

C) 191.4

D) 143.4

E) 153.5

9. If the loss on V is 5%, then its selling price is what
percentage less than the selling price of Z?

A) 87.4%

B) 83.7%

C) 64.5%

D) 92.4%

E) 85.3%

Answers:

Solution(Q.1-4): If
we start from backwards, when everybody ate three cookies, we get the following
table, with the help of which rest of the questions can be solved easily.

5. Solution: Cost
price of V = `50

Transportation cost = `30

Total cost price = 50 + 30 = `80

Profit = 4%

Selling price = 80 × 104

100 = `83.2

6. Solution:
Selling price of X = (Cost price + Cost on transportation + Profit) = 250 + 20
+ 5 = `275

Cost price of W = Selling price + Loss = 100 + 10 = `110

Reqd % = 275*100/110% = 250% of the cost price of W.

7. Solution: Loss
on Y = Cost price of Y – Selling price of Y= 400*100/96-40 = Rs. 16.66

Loss on W = `Rs. 10

Required ratio = 16.66 : 10 = 833 : 500

8. Solution:
Selling price of Z = Cost price of Z + Cost on transportation + Profit = 400 +
40 + 440*6/100 =`466.4

Selling price of X = `275

Difference = 466.4 – 275 = `191.4

9. Solution:
Selling price of V = (Cost price + Cost of Transportation) × 95/100 = (50 + 30)
× 95/100 = `Rs. 76

So, Selling price of Z = `466.4

So, Required % = 466.4 – 76/466.4*100% = 83.7% less than
selling price of Z.