Quantitative Aptitude Test

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Quantitative Aptitude Test - 12

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Weekly Quiz Competition

Question 1
1 / -0.25

Directions: In the Copa America league, four football teams namely, Brazil, Argentina, Uruguay and Paraguay, take part where each team is to play against the other three teams at most once. For a win, a draw and a loss, 2 points, 1 point and 0 points are awarded respectively. After several matches have been played in the league, a table is compiled which gives information about the points earned by teams at this stage in the league.

Teams

Points

Brazil

Argentina

5

Uruguay

2

Paraguay

0

It is also known that Uruguay has not won any matches so far. Brazil has scored the same number of goals as other teams have scored against it. Paraguay has lost at least one match. The total points of Brazil are not known.

How many points were scored by Brazil?

A
1

B
2

C
3

D
4

Solution

There are 1 matches that were drawn between (Brazil-Uruguay).
Brazil score = 1.
and 1 match Brazil win between (Brazil-Paraguay).
Brazil score = 2.
total 1+2 = 3.

Hence, the correct option is (c).
Question 2
1 / -0.25

If in the 10th Plan the outlay of "Energy" and "Science & Environment" are increased by 5% and 7% respectively, what will be their combined outlay during the 10th Plan?

A
Rs 2,53,638

B
Rs 2,53,688

C
Rs 2,53,768

D
Rs 2,58,688

Solution

Outlay of Energy in 10th plan = 215545 × 1.05= 226322.25
Outlay of Science & Environment in 10th plan= 25529 × 1.07 = 27316.03
Therefore, their combined outlay = 226322.25 + 27316.03= 253638 approx.

Hence, the correct option is (a).
Question 3
1 / -0.25

Find the total area, in m², of the circular ground in which a track is drawn in such a way that it appears as if it's a triangle inscribed in a circle. The sides of the triangle measure 90 m, 400 m and 410 m.

A
1,32,079

B
1,47,324

C
1,47,726

D
2,23,567

Solution

If you know the lengths of the 3 sides of a triangle inscribed in a circle, you can use the following formula to calculate the radius of the circle.

If the three sides are a, b and c, then the radius r is:
Question 4
1 / -0.25

In a cross country race there are 3 events in which participants need to compete:
swimming, cycling and running. Each participant has to do each of the activities for a stipulated amount of time. Rahul noticed that he sweats 2 L/hr while swimming; 5 L/hr while running and 10 L/hr while cycling. Rahul swims at a speed of 30 km/hr, runs at a speed of 60 km/hr and cycles at a speed of 150 km/hr. If he covered 142.5 km in all losing 9.75 litres of sweat, for how long did he run?

A
15 minutes

B
18 minutes

C
30 minutes

D
45 minutes

Solution

According to the question,
2t1 + 5t2 + 10t3 = 9.75 ….......... (1)
30t1 + 60t2 + 150t3 = 142.5 ….. (2)
Where t1, t2 and t3 are times for which Rahul swims, runs and cycles respectively.
Solving (1) and (2),
(75t2 – 60t2) = 146.25 – 142.515t2 = 3.75
t2 = 0.25 hours
t2 = 15 minutes.

Hence, the correct option is (a).
Question 5
1 / -0.25

Directions: In the Copa America league, four football teams namely, Brazil, Argentina, Uruguay and Paraguay, take part where each team is to play against the other three teams at most once. For a win, a draw and a loss, 2 points, 1 point and 0 points are awarded respectively. After several matches have been played in the league, a table is compiled which gives information about the points earned by teams at this stage in the league.

Teams

Points

Brazil

Argentina

5

Uruguay

2

Paraguay

0

It is also known that Uruguay has not won any matches so far. Brazil has scored the same number of goals as other teams have scored against it. Paraguay has lost at least one match. The total points of Brazil are not known.

How many matches have resulted in a draw so far?

A
0

B
1

C
2

D
3

Solution

There are 2 matches that were drawn (Brazil-Uruguay) and (Argentina-Uruguay).

Hence, the correct option is (c).
Question 6
1 / -0.25

The following statements are either true (T) or false (F). Mark the option that gives the correct codes.

The centre of the inscribed circle of a triangle is found by constructing the bisectors of the angles of the triangle.

A system of two linear equations has exactly one solution.

If three vertices of a parallelogram are (0, 0), (2, 0) and (5, 4), then the fourth vertex is (7, 4).

If three of the vertices of a rectangle are (-a, 0), (a, 0) and (-a, b), then the fourth vertex is (a,-b).

A
FFTT

B
TTFF

C
FTFT

D
TFFF

Solution

1. This is correct. The meeting point of the bisectors will be the centre of the circle.

2. Not necessarily. There may be no solution and there may even be more than one solution.

3. This is not correct as the two diagonals of the parallelogram bisect each other. The midpoint of AC is the midpoint of BD of the parallelogram ABCD. Hence, the fourth vertex is (3,4).

4. This is not correct as the fourth vertex should actually be (a, b).

Hence, the correct option is (d).

Question 7

1 / -0.25

Directions For Questions

Directions: The table shows the 9th Plan Outlay of Public Sector. Go through the table and answer the question based on it.

ITEM	OUTLAY
ITEM	AMOUNT	%
Agriculture		4.4
Irrigation & flood control		6.5
Rural development	73439
Specific area program	3649
Energy	215545
Industry & minerals	69972
Transport	121324
Communication & information tech.	47616
Science & environment	25529
General Economic Service	15038
General Service
Social Service
TOTAL	859200	100.0

...view full instructions

What is the combined outlay in Agriculture and Irrigation?

92,144

92,644

93,144

93,653

Solution

Combined percentage outlay of agriculture and irrigation = 4.4 + 6.5 = 10.9%
Thus, combined outlay = $\frac{10.9}{100}$ × 859200 = 93653 approx.

Hence, the correct option is (d).

Question 8

1 / -0.25

Directions For Questions

Directions: The table shows the 9th Plan Outlay of Public Sector. Go through the table and answer the question based on it.

ITEM	OUTLAY
ITEM	AMOUNT	%
Agriculture		4.4
Irrigation & flood control		6.5
Rural development	73439
Specific area program	3649
Energy	215545
Industry & minerals	69972
Transport	121324
Communication & information tech.	47616
Science & environment	25529
General Economic Service	15038
General Service
Social Service
TOTAL	859200	100.0

...view full instructions

What is the combined % outlay of the items having maximum and minimum outlays?

25.0

25.4

25.5 Cannot be determined

Solution

Since we cannot calculate the outlay for General Services and Social Services, we have no way of knowing as to which are the maximum and minimum outlays.

Hence, the correct option is (d).

Question 9

1 / -0.25

Directions For Questions

Directions: The table shows the 9th Plan Outlay of Public Sector. Go through the table and answer the question based on it.

ITEM	OUTLAY
ITEM	AMOUNT	%
Agriculture		4.4
Irrigation & flood control		6.5
Rural development	73439
Specific area program	3649
Energy	215545
Industry & minerals	69972
Transport	121324
Communication & information tech.	47616
Science & environment	25529
General Economic Service	15038
General Service
Social Service
TOTAL	859200	100.0

...view full instructions

If outlay in Social Services is 1,08,566 more than that in Rural Development, what percentage of outlay is for Social Services?

19.7

19.9

21.0

21.2 Solution

Outlay in Social Services = 73439 + 108566= 182005
Therefore, percentage outlay for Social Services= $\frac{182005}{859200}$ × 100= 21.18= 21.2 % approx..

Hence, the correct option is (d).

Question 10
1 / -0.25

Directions: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.
What is the cost of 6 books and 2 notebooks?
Statements:
(1) 2 books and 2 notebooks cost Rs 18.
(2) 3 books and 1 notebook cost Rs 22

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

(1) 2 books and 2 notebooks cost Rs 18.
(2) 3 books and 1 notebook cost Rs 22.
(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.
From statement I, we cannot calculate the cost of 6 books. So I is insufficient.
In statement II, if we double all the number we get:
6 books + 2 notebooks = Rs 44.
So II is sufficient.

Hence, the correct option is (b).

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Teams	Points
Brazil
Argentina	5
Uruguay	2
Paraguay	0

Teams	Points
Brazil
Argentina	5
Uruguay	2
Paraguay	0

Quantitative Aptitude Test - 12

Result

Quantitative Aptitude Test - 12

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SHARING IS CARING

Question 1

1

2

3

4

Solution

Question 2

Rs 2,53,638

Rs 2,53,688

Rs 2,53,768

Rs 2,58,688

Solution

Question 3

1,32,079

1,47,324

1,47,726

2,23,567

Solution

Question 4

15 minutes

18 minutes

30 minutes

45 minutes

Solution

Question 5

0

1

2

3

Solution

Question 6

FFTT

TTFF

FTFT

TFFF

Solution

Question 7

92,144

92,644

93,144

93,653

Solution

Question 8

25.0

25.4

25.5

Cannot be determined

Solution

Question 9

19.7

19.9

21.0

21.2

Solution

Question 10

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

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

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

EACH statement ALONE is sufficient.

Solution

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