DXC Quants Ratio and Proportion Quiz 3

Answer:
Explanation:
Let the car is rented for 8 hours or less
Then the number of hours it is rented for,
= 800 / 100 = 8 Hrs

But if she got charged Rs. 8 per km, the amount that she should paid be 120(8) = 960
But she paid only Rs. 800
The car is rented for more than 8 hours,
NumberOf Hours = \frac{800}{80}=10 Hrs

If she is charged at Rs. 6 per km.
The amount that she should pay is 120(6) = Rs. 720 which is less than Rs 800

Therefore, Louis Lane rented the car for 10 hours.

Answer: c.
Explanation:
Let the strength of A = 16k and that of = 8k

Section A ratio of Boys: girls
= 3 : 1 → boys = 12k and girls = 4k

Section B ratio of boys: girls .
= 3 : 5 → boys = 3k and girls = 5k
A + B – boys = 15k and girls = 9k

Maximum number of students in a row = HCF (15k, 9k) = 3k → 3k = 96 → k=32
Difference between boys of section A and B = 12k – 3k = 9k → 9 × 32 = 288

Answer: d.
Explanation:
Let, marks obtained by Tyris Gibson in theory and total marks of theory be ‘7x’ and ‘10x’ respectively

So, total marks (theory + practical) = 10x + 2x = 12x
Marks obtained by Tyris Gibson (theory + practical) = 7x + 2x = 9 x
Required Ratio = \frac{9x}{12x}=\frac{3}{4}

Answer: b.
Explanation:
Salary ratio of Robert : Chris = 5 : 7 and Chris : Jeremy = 3 : 5 so Robert : Chris : Jeremy = 15 : 21 : 35 and Robert : Jeremy = 3 : 7

Salary (Robert) = 165,000 so salary of (Jeremy),
=\frac{7}{3}\times 165000 = 385000 Rs

Jeremy spends 28.56% on rent => Jeremy spends 2/7 on rent so remaining will be 5/7 of salary.
=\frac{5}{7}\times 385000 = 275000 Rs

Answer: a.
Explanation:
Let the income of
Scarlet 4x,
Elizabeth 7x
And expenditure be:
Scarlet → 6y……..(i)
Elizabeth → 11y
Scarlet spending = Scarlet’s earning – Scarlet’s savings
Scarlet's Expenditure = 4x-\frac{4x}{3}= \frac{8}{3}x.......(ii)
(i) = (ii)
6y = \frac{8}{3}x= \frac{x}{y}=\frac{9}{4}
RequiredRatio = \frac{4x-6y}{7x-11y}= \frac{4x-(\frac{4}{9}x)6}{7x-(\frac{4}{9}x)11}
\frac{36-24}{63-44}=\frac{12}{19}

Answer: b
Explanation:
Ratio of monthly income and ratio of annual income will be the same,
ie. 84 : 76 : 89

Applying the rule of proportion, we get
Jessie's income in ratio : Jessie's total income : : Sum of Skyler's and Terence's income in ratio : Sum of Skyler's and Terence's income in value
76 : 456000 : : (84 + 89) : x
∴ Sum of Skyler's and Terence's annual income in value
=\frac{456000}{76}\times ( 84 + 89)= 10,38,000 Rs

Answer: d.
Explanation:
Let the total number of members be 21x and 26x
=\frac{(21x+8)}{26x+8}=\frac{5}{6}
6(21x + 8) = 5(26x + 8)
126x + 48 = 130x + 40
x = 2
So, members will be 42 and 52.
If 6 is subtracted, then members will be 36 and 46.
Required ratio = 36 : 46. i.e. 18 : 23

So, numbers will be 42 and 52.

If 6 is subtracted, then numbers will be 36 and 46.

Required ratio = 36 : 46. i.e. 18 : 23

Answer: a
Explanation:
Income = Expenditure + Saving
Harvey: 12x = 15y + 3x (3x = 25% of 12x)
Bratton: 9x = 9y + (9x – 9y)
Eric: 7x = 8y + (7x – 8y)
Therefore, 12x – 3x = 15y
x/y = 5/3
y = 3x/5
Therefore, savings = (income – expenditure)
Harvey = 12x – 9x = 3x

Bratton = 9x – 9y,
=9x-\frac{27}{5}x=\frac{18}{5}x
Eric = 7x – 8y,
=7x-\frac{24}{5}x=\frac{11}{5}x

i.e., the ratio of savings of Harvey : Bratton : Eric
=3x:\frac{18}{5}x:\frac{11}{5}x
= 15 : 18 : 11

Answer: b
Explanation:
Total money = 20 + 40 = 60
In this question the total money is given
so we need to multiply the value of the coins in the ratio.
10 × 0.10 x + 8 × 0.25x + 9 × 0.50x = 60
x + 2x + 4.5x = 60
7.5 x = 60
x = 8
Number of 50 paise coins = 9 × 8 = 72

Answer: c.
Explanation:
Let the number Hank, Clark and Tez be 12a , 15a and 25a respectively
Then from the question 12a + 15a + 25a = 312.
a = \frac{312}{52} = 6

Required Ratio,
= \frac{15\times 6 - 12\times 6}{25\times6-15\times6} = \frac{3}{10}3
=3 : 10