Arithmetic(Exams > Cat > Quantitaitve Aptitude ) Questions and answers for exam Preparation

Exams > Cat > Quantitaitve Aptitude

ARITHMETIC MCQs

Total Questions : 147 | Page 8 of 15 pages

Question 71. Ram and Shyam invest Rs.15,000 and Rs.25,000, respectively, in a business and at the end of the year , make a profit of Rs.10,000. They agree to re-invest

12 %

of profit. Out of the remaining profit, each of them takes Rs.1000 and rest is divided in the ratio of their original investment. Find Ram’s total share in the profit.

Rs. 4250
Rs.3000
Rs.2550
Rs.3550

Discuss Question

Answer: Option D. -> Rs.3550
:
D

12 %

of profit = 1200
Remaining = 8800
After taking 1000 each, amount remaining = 6800
Ratio of shares of Ram and Shyam = 15,000 : 25,000 = 3 : 5
Ram’s share

= \frac{3}{8} \times 6800 = 2550

Ram’s profit = 2550 + 1000 = 3550.

Question 72. How many kilograms of rice costing 3.6 per kg should be mixed with 8 kgs of rice costing 4.20 per kg, such that the mixture yields a profit of

10 %

when it is sold at 4.40 per kg?

5 kgs
6 kgs
3 kgs
4 kgs

Discuss Question

Answer: Option D. -> 4 kgs
:
D
For all alligation questions, remember that we need to consider only the cost price
Given that the Selling Price = .

C o s t p r i c e \times 1.1 = S e l l i n g p r i c e

C o s t p r i c e = \frac{S e l l i n g p r i c e}{1.1} = \frac{4.4}{1.1} = 4 r s

How Many Kilograms Of Rice Costing 3.6 Per Kg Should Be Mixe...

Ratio of quantity of rice = 2:4 or 1:2. Given that the quantity of the second variety is 8 kg, the first variety should be

\frac{8}{2}

=4 kgs

Question 73.

In a survey of 2000 people for the top movie of 2008 among three: RNBDJ, Ghajni and Singh is King. 960 like RNBDJ, 1080 like Ghajni,1280 like Singh is King, 560 like RNBDJ and Ghajni, 640 like Ghajni and Singh is King, 600 like Singh is King and RNBDJ. Only 120 likes none of the three.
Calculate the ratio of people who like only RNBDJ to the number who like only Ghajni.

1: 3
1: 2
2: 3
4: 5
1: 4

Discuss Question

Answer: Option C. -> 2: 3
:
C

Number of people , who likes at least one movie = 2000 - 120 = 1880

x + 40 + x - 120 + x - 200 + 640 - x + 560 - x + 600 - x + x = 1880
x = 360
160: 240 = 2: 3. Hence option (c)

Question 74.

In a survey of 2000 people for the top movie of 2008 among three: RNBDJ, Ghajni and Singh is King. 960 like RNBDJ, 1080 like Ghajni,1280 like Singh is King, 560 like RNBDJ and Ghajni, 640 like Ghajni and Singh is King, 600 like Singh is King and RNBDJ. Only 120 likes none of the three.
Determine the number of people who like RNBDJ and Singh is King but not Ghajni.

Discuss Question

Answer: Option D. -> 240
:
D

Number of people , who likes at least one movie = 2000 - 120 = 1880

x + 40 + x - 120 + x - 200 + 640 - x + 560 - x + 600 - x + x = 1880
x = 360
The number of people who like RNBDJ and Singh is King but not Ghajni = (600 - 360) = 240. Hence option (d)

Question 75.

In a survey of 2000 people for the top movie of 2008 among three: RNBDJ, Ghajni and Singh is King. 960 like RNBDJ, 1080 like Ghajni,1280 like Singh is King, 560 like RNBDJ and Ghajni, 640 like Ghajni and Singh is King, 600 like Singh is King and RNBDJ. Only 120 likes none of the three.
Determine the percentage of those who like at least two of these three movies.

Discuss Question

Answer: Option B. -> 54%
:
B

240 + 200 + 280 + 360 = 1080 = 54% Hence option (b)

Question 76.

In a group of 500 people, 350 are engineers and 250 are MBAs
How many are either only MBA or only Engineers?

Discuss Question

Answer: Option D. -> 400
:
D

People who are only Engineer = 250

People who are only MBA = 150

No. of people who are either only MBA or only Engineer = 250 + 150 = 400

Hence option (d)

Question 77.

In an examination, 38% of students failed in Science and 33% failed in Maths while 19% failed in both the subjects. If the number of students who passed in only Science is 700, then determine the total number of students who appeared in the examination.

500
350
5000
3500
1400

Discuss Question

Answer: Option C. -> 5000
:
C

Soln:

So, the % of students failed in at least one subject = 19 + 19 + 14 = 52 %

So, the % of students who didn’t fail even in one subject = 100 – 52 = 48%

% of students failed in Science = 38%

% of students who passed in Science = 100 – 38 = 62%

% of students failed in Maths = 33%

% of students who passed in Mathematics = 100 – 33 = 67%

Now, consider the % of students who passed:

So, as we see from the Venn diagram, % of students passed in only Science = 14%.

If the total no. of students who appeared = x, then .14x = 700 x = 5000.

Hence option (c)

Question 78.

In a music school, three instruments are taught: Tabla, Violin and Guitar. Out of 278 students in the school, 20 learn Tabla and Violin, 23 learn Violin and Guitar and 21 learn Tabla and Guitar. 9 students learn all three instruments. It is known that the equal number of seats in all three instruments classes. (If a student is learning Guitar as well as Tabla, then he occupies two seats: one in Tabla class and one in Guitar class)
Determine the number of students who have occupied only one seat.

Discuss Question

Answer: Option A. -> 232
:
A

No. of students who have occupied only one seat = x + y + z + 14 + 12 + 11 + 9 = 278

=> x + y + z =278-46 = 232.

Hence option (a)

Question 79.

Discuss Question

Answer: Option E. -> 167
:
E

As per the information given in the question, we get the venn diagram as:

We get the equations as:
T + 32 = V + 34 = G + 35
and V + T + G + 46 = 278 => V + T + G = 232
So, by solving the equations we get, no. of students who have occupied seat in Violin Class or Guitar Class, but not inTabla Class = 77 + 14 + 76 = 167. Hence option (e)