Quantitative Aptitude Test

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Quantitative Aptitude Test - 9

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Question 1

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Directions For Questions

Directions: Go through the given information and solve the question based on it.

Stock 1, Stock 2 and Stock 3 are stocks of small-cap companies and Stock 4 is the stocks of a mid-cap company. For each investor, mid-cap stocks are given greater weightage than small-cap stocks and all the small-cap stocks have the same weightage. The weightage is different for each investor.

Stock

Investor	Stock 1	Stock 2	Stock 3	Stock 4	Total
Paul	6500	7500	7000	5000	36000
Bindu	7300		6700	6300
Rohan	6600	7300	6900
Sheela	4800			8900	39500
Thomas	5600	3200	1200	8400

...view full instructions

In Thomas's portfolio, the value of Stock 3 is one-eighth of the value of Stock 4. What is the ratio of the weightage of a small-cap stock to the weightage of a mid-cap stock that Thomas holds?

3 : 4

7 : 9

7 : 8

8 : 9

Solution

Let the ratio of small cap to mid cap for Thomas be x:y (y>x)
Total value of stock 3 = x(1200)
Total value of stock 4 = y(8,400)
It is given, x(1200) = $\frac{1}{8}$ y(8,400)
So, x:y = $\frac{8, 400}{(8 \times 1200)}$ = 7:8.

Hence, the correct option is (c).

Question 2
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P takes a certain route to reach a coaching centre from his house. He first travels uphill, then on a straight road and finally travels downhill to reach his coaching institute. P takes 4 hours to reach his institute. The speeds of P uphill, on the straight road and downhill are 4 km/hr, 4.8 km/hr and 6 km/hr respectively. When returning, P takes 4.5 hours to reach home (taking the same route). What is the distance between his house and the coaching centre?

A
14.8 km

B
19.2 km

C
20.4 km

D
21.6 km

Solution

Let x, y and z be the distance travelled uphill, on the straight road and downhill respectively.

Then,
Question 3
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Using the digits 1, 2, 3 and 4, some two digit numbers can be formed. The sum of these numbers is 440. AA is:

A
11

B
22

C
33

D
44

Solution

The numbers are 11, 12, 13, 14, 21, 22, 23, 24, 31, 32, 33, 34, 41, 42, 43, 44
Sum of numbers = 440
Thus AA = 44.

Hence, the correct option is (d).
Question 4
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Directions For Questions

Direction: These questions are based on the information given below:

...view full instructions

On 22nd June, how much NPR would be equal to the value of INR 4,000?

A
6,596

B
6,956

C
9,656

D
9,665

Solution

On 22nd June INR 46 = 1 dollar
Therefore, INR 4000 = $\frac{4000}{46}$ = 87 dollar approx.
Now, on 22nd June, 1 dollar = 80
Therefore, 87 dollar = 87 x 80 = 6960 NPR
Option B comes closest to this and should be the correct answer.

Hence, the correct option is (b).
Question 5
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Directions For Questions

Direction: These questions are based on the information given below:

...view full instructions

If the NPR/Dollar ratio follows the same trend from 27th to 30th as from 24th to 27th, what will be the value of 150 Dollars on 30th June?

A
11,250

B
11,520

C
12,150

D
12,510

Solution

If the NPR/dollar ratio follows the same trend, on 30th July 1 dollar = 82 NPR (the actual number will be slightly lower than 82 but let's take 82 as it would make calculations easier)
Therefore, 150 dollars = 150 x 82 = 12300 NPR
Since the actual number should have been slightly lower than 82, we should choose the option slightly lower than 12300.
So, C should be the correct answer.

Hence, the correct option is (c).
Question 6
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Directions For Questions

Direction: These questions are based on the information given below:

...view full instructions

A bike costs $1,000. Aman has INR 45,500, Euro 600 and 77,000 NPR with him. He would be able to buy the bike on 23rd June using (assume that he can use only one type of currency for the transaction):

A
EUR 600

B
INR 45,500

C
NPR 75,000

D
NPR 80,000

Solution

For 23rd June 1 $ = INR 45.5 & so 1000$ = INR 45,500.
So, Aman can buy bike using INR 45,500.
For 23rdJune 1 Euro = $1.6 & so 600 Euro =$ (600 x 1.6) = $ 960.
It is $40 less then cost of bike
So, Aman can’t buy bike using Euro 600.
For 23rdJune 1 $ =NPR 78 & so 77,000 NPR = $( $\frac{77, 000}{78}$ ) which is again less than $1,000.
So, Aman can’t buy bike using 77,000 NPR.

Hence, the correct option is (b).
Question 7
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Directions For Questions

Direction: These questions are based on the information given below:

...view full instructions

On 18th June, the INR/Dollar ratio was 43.5. On that day INR 6,000 would be equal to:

A
4,285 Euro

B
4,582 Euro

C
4,825 Euro

D
Cannot be determined

Solution

We cannot arrive at the answer since all the answer choices are given in Euros and we do not know the INR/Euro or Dollar/Euro ratio on June 18th.

Hence, the correct option is (d).
Question 8
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Directions: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.

If a^b is such that a and b both are integers, then is b a multiple of 6?

(1) a^b is a perfect square.

(2) ab is a perfect cube.

A
Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.

B
Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.

C
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D
EACH statement ALONE is sufficient.

Solution

Individually the statements don't give us any information as to whether b is a multiple of 6 so NOT SUFFICIENT.
Combining the two statements, for any number to be a perfect square and a perfect cube, the power has to be 6 or some multiple of 6.
For example, 26 = 64 and 64 is a perfect square (8²) and a perfect cube (4³).
Thus, both the statements together are SUFFICIENT.

Hence, the correct option is (c).
Question 9
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Directions For Questions

Directions: Go through the given graph and solve the questions based on it. This chart indicates the sales of Herbal Beauty Products Company during a period of time.

...view full instructions

What is the ratio of percentage growth in sales of Herbal Hair Wash and Herbal Hair Vitaliser during 2000−2005 (rounded off to the nearest integer)?

A
1 : 4

B
1 : 5

C
5 : 4

D
4 : 1

Solution

Percentage growth in sales of herbal hair wash = $\frac{(2410000 - 1010000)}{1010000}$ x 100 = 138.6 %
Percentage growth in sales of herbal hair vitaliser = $\frac{(1890000 - 246000)}{246000}$ x 100 = 668.2 %
Therefore, required ratio = $\frac{138}{668}$ = 1:5 approx.

Hence, the correct option is (b).
Question 10
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Directions For Questions

Directions: Go through the given graph and solve the questions based on it. This chart indicates the sales of Herbal Beauty Products Company during a period of time.

...view full instructions

What is the percentage growth in overall sales (in terms of packs) of Herbal Beauty products in 2000 compared to 2005?

A
104.3%

B
138.6%

C
164.8%

D
171.3%

Solution

Total sales of Herbal Beauty product in 2000 = 1010000 + 246000 + 748000 + 344000 + 250000 = 2598000
Total sales of Herbal Beauty product in 2005 = 2410000 + 1890000 + 1460000 + 611000 + 510000 = 6881000
Therefore, percentage growth = $\frac{(6881000 - 2598000)}{2598000}$ x 100 = 164.8%.

Hence, the correct option is (c).