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- Quantitative Aptitude Quiz - Set 13

**Q1. A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black pair is double that a brown pair. While preparing the bill, the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50 per cent. The ratio of the number of black and brown pairs of socks in the original order was: **

(a) 4 : 1

(b) 2 : 1

(c) 1 : 4

(d) 1 : 2

(e) None of these**Q2. Two companies A and B quote for a tender. On the tender opening day, A realizes that the two quotes are in the ratio 7 : 4 and hence decreases it price during negotiations to make it Rs. 1 lakh lower than B’s quoted price. B then realises that the final quotes of the two were in the ratio 3 :4. By how much did A decrease its price in order to win the bid? **

(a) Rs. 7 lakhs

(b) Rs. 4 lakhs

(c) Rs. 9 lakhs

(d) Rs. 8 lakhs

(e) None of these**Q3. A student is studying for a test from 11:00 am to 8:00 pm on weekdays and one-third of that on Saturdays. On Sundays he takes a break from school and goes fishing. For what fractional part of the entire week is the student studying? **

(a) 2/5

(b) 3/7

(c) 2/7

(d) 3/8

(e) None of these**Q4. A sum of Rs. 430 has been distributed among 45 people consisting of men, women and children. The total amounts given to men, women and children are in the ratio 12 : 15 :16. But, the amounts received by each man, woman and child are in the ratio 6 : 5 : 4. Find, what each man, woman and child receives (in Rs.). **

(a) 12, 10, 8

(b) 180, 150, 120

(c) 120, 150,160

(d) 60, 75, 80

(e) None of these**Q5. The ratio between the number of passengers travelling by I and II class between the two railway stations is 1 : 50, whereas the ratio of I and II class fares between the same stations is 3 : 1. If on a particular day, Rs. 1325 were collected from the passengers travelling between these stations, then what was the amount collected from the II class passengers? **

(a) Rs. 750

(b) Rs. 850

(c) Rs. 1000

(d) Rs. 1250

(e) None of these**Q6. Fresh grapes contain 90 per cent water by weight while dried grapes contain 20 per cent water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes? **

(a) 2 kg

(b) 2.4 kg

(c) 2.5 kg

(d) 3 kg

(e) None of these**Q7. In a certain company, the ratio of the number of managers to the number of production-line workers is 5 to 72. If 8 additional production-line workers were to be hired, the ratio of the number of managers to the production-line workers would be 5 to 74. How many managers does the company have? **

(a) 10

(b) 20

(c) 30

(d) 25

(e) None of these**Q8. Mayank, Mirza, Little and Jaspal bought a motorbike for Rs. 60,000. Mayank paid one half of the sum of the amounts paid by the other boys, Mirza paid one third of the sum of the amounts paid by the other boys, Little paid one fourth of the sum of the amounts paid by the other boys. How much did Jaspal has to pay? **

(a) Rs. 15,000

(b) Rs. 13,000

(c) Rs. 17,000

(d) Rs. 16,000

(e) None of these**Q9. I have one rupee coins, fifty paise coins and twenty five paise coins. The number of coins is in the ratio 2.5 : 3 : 4. If the total amount with me is Rs. 210, find the number of one rupee coins.**

(a) 90

(b) 85

(c) 100

(d) 105

(e) None of these**Q10. The monthly incomes of two persons are in the ratio of 4 : 5 and their monthly expenditures are in the ratio of 7 : 9. If each saves Rs. 50 a month, then what are their monthly incomes? **

(a) Rs. 100, Rs. 125

(b) Rs. 200, Rs. 250

(c) Rs. 300, Rs. 375

(d) Rs. 400, Rs. 500

(e) None of these

Solutions:

Ans1.(c)

Sol. Let x pairs brown socks were ordered

Let p be the price of a brown pair

2p is the price of a black pair

(2p × 4 + px) + 50% of (2p × 4 + px)

= 2p × x + 4p

x = 16

Required ratio = 1 : 4

Ans2.(b)

Sol. Let the quotes of A and B be 7X and 4X, respectively.

After decreasing, quotes of A = 4x - 1

Then, we are given

4x-1/4x = 3/4

X = 1

Then, decreasing by A = 7X - (4X - 1)

= 3x + 1 = 3 + 1

= Rs. 4 lakhs

Ans3.(c)

Sol. Student studies for 9 hrs from 11 am to 8 pm on Monday to Friday

Also, be studies 1/3rd of the time on Sunday i.e. 1/3×9=3h

Total hours, he studied during the week

= 5 × 9 + 3 = 45 + 3 = 48h

Total hours, in a week = 24 × 7 = 168

Required fraction

=48/168=2/7

Ans4.(a)

Sol. Ratio of personal shares = 6 : 5 : 4

Ratio of the amounts = 12 : 15 : 16

Ratio of men, women and children

=12/6 ?15/5 ?16/4

= 2 : 3 : 4

Sum of these ratios = (2 + 3 + 4) = 9

Number of men =((45 × 2)/9)=10

Number of women =((49 × 3)/9)=15

And, the number of children = 45 - (10 + 15) = 20

Now, dividing Rs. 430 in the ratio = 12 : 15 : 16

Total amount of men’s share

= Rs. ((430 × 12)/43)

= Rs. 120

Total amount of women’s share

= Rs. ((430 × 15)/43)

= Rs. 150

Total amount of children’s share

= Rs. [430 - (120 + 150)]

= Rs. 160

Each man’s share = Rs. (120/10)=Rs.12

Each woman’s share = Rs. (150/15)= Rs. 10

Each child’s share = Rs. (160/20) = Rs. 8

Ans5.(d)

Sol. Ratio of the amount collected from the 1st class and the 2nd class passengers = 3 : 50

Amount collected from the 2nd class passengers

=50/53×1325 = Rs. 1250.

Ans6.(c)

Sol. Fresh grapes contain 10% pulp.

So, 20 kg fresh grapes contain 2kg pulp.

Dry grapes contain 80% pulp

2kg pulp would contain = 2/0.8 = 2.5kg dry grapes

Ans7.(b)

Sol. According to question,

5x/(72x + 8)=5/74

x = 4

Managers = 5 × 4 = 20

Ans8.(b)

Sol. Mayank paid 1/2 of the sum paid by other three.

Let the other three paid Rs. x jointly, then Mayank paid x/2

So, x+x/2=60,000 ? x = 40,000.

Hence, Mayank paid = Rs. 20,000

Likewise, Mirza and Little paid Rs. 15,000 and Rs. 12,000 respectively.

Hence, the amount paid by Jaspal is

Rs. [60,000 - (20,000 + 15,000 + 12,000)] = Rs. 13,000

Ans9.(d)

Sol. Ratio of number of one rupee, fifty paise, and twenty five paise coins = 2.5 : 3:4

Ratio of value of coins =2.5×1?3/2 ?4/4=5?3?2

Let, amount of Rs 1, 50 paise and 25 paise coins be 5x, 3x and 2x respectively.

So, 5x + 3x + 2x = 210 (given) ? x = 21

Value of one rupee coins

= number of one rupee coins = 21 × 5 = 105

Ans10.(d)

Sol. Let the incomes of the two persons be 4I and 5I respectively

Let the expenditure of the two persons be 7E and 9E respectively.

4I - 7E = 50 and 5I - 9E = 50

20I - 35E = 250

20I - 36E = 200

E = 50 and I = 100

Monthly incomes of the two persons are Rs.400 and Rs. 500 respectively.