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OTI365 - Medical Jipmer
JIMPER Quantitative Aptitude - Area Model Question Paper

Quantitative Aptitude - Area

Exam Duration: 45 Mins Total Questions : 30

1 )

If the diagonals of a rhombus are 24 cm and 10 cm, the area and the perimeter of the rhombus are respectively:

(a)
120 cm², 52 cm
(b)
120 cm², 64 cm
(c)
240 cm², 52 cm
(d)
240 cm² , 64 cm

2 )

The length of a rectangle is 18 cm and its breadth is 10 cm. When the length is increased to 25 cm, what will be the breadth of the rectangle if the area remains the same?

(a)
7 cm
(b)
7.1 cm
(c)
7.2 cm
(d)
7.3 cm

3 )

A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, then what is the area of the parking space in square feet?

(a)
46
(b)
81
(c)
126
(d)
252

4 )

A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. What is the are of the circle?

(a)
88 cm²
(b)
154 cm²
(c)
Cannot be determined
(d)
None of these

5 )

The sum of areas of two circles A and B is equal to the area of a third circle C whose diameter is 30 cm. If the diameter of circle A is 18 cm, then the radius of circle B is:

(a)
10 cm
(b)
12 cm
(c)
15 cm
(d)
18 cm

6 )

The wheel of a motorcycle, 70 cm in diameter, makes 40 revolutions in every 10 seconds. What is the speed of the motorcycle in km/hr?

(a)
22.32
(b)
27.68
(c)
31.68
(d)
36.24

7 )

Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X and Y, which are 1980 cm apart, towards each other in opposite directions. Both of them makes the same number of revolutions per second. If the both of them meet after 10 seconds, the speed of the smaller wheel is:

(a)
22 cm/sec
(b)
44 cm/sec
(c)
66 cm/sec
(d)
132 cm/sec

8 )

A circular park has a path of uniform width around it. The difference between outer and inner circumferences of the circular path is 132 m. Its width is:

(a)
20 m
(b)
21 m
(c)
22 m
(d)
24 m

9 )

Then circumference of a circle is 100 cm. The side of a square inscribed in the circle is:

(a)
\(50\sqrt { 2 } \) cm
(b)
\(\frac { 100 }{ \pi } \) cm
(c)
\(\frac { 50\sqrt { 2 } }{ \pi } \) cm
(d)
\(\frac { 100\sqrt { 2 } }{ \pi } \) cm

10 )

The area of a circle inscribed in an equilateral triangle is 154 cm². Find the perimeter of the triangle.

(a)
71.5 cm
(b)
71.7 cm
(c)
72.3 cm
(d)
72.7 cm

11 )

If the radius of a circle is increased by 6%, then its area is increased by:

(a)
6%
(b)
12%
(c)
12.36 %
(d)
16.64%

12 )

The question is given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both the statements and

The area of a playground is 1600 m². What is its perimeter?

I.It is a perfect square playground.

II.It costs Rs 3200 to put a fence around at the rate of Rs. 20 per metre.

(a)
if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question;
(b)
if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question;
(c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question;
(d)
if the data even in both Statements I and II together are not sufficient to answer the question;
(e)
if the data in both Statements I and II together are necessary to answer the question:

13 )

The question given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both the statements and

The area of a rectangle is equal to the area of a right-angled triangle. What is the length of the rectangle?

I. The base of the triangle is 40 cm.

II. The height of the triangle is 50 cm.

(a)
if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question;
(b)
if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question;
(c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question;
(d)
if the data even in both Statements I and II together are not sufficient to answer the question;
(e)
if the data in both Statements I and II together are necessary to answer the question;

14 )

The question below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

What is the area of the right-angled triangle?

I. The perimeter of the triangle is 30 cm.

II. The ratio between the base and the height of the triangle is 5:12.

III. The area of the triangle is equal to the area of a rectangle of length 10 cm

(a)
I and II only
(b)
III, and either I or II
(c)
I and III only
(d)
II and III only
(e)
None of these

15 )

The question given below is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is/are redundant and can be dispensed with while answering the given question.

What is the area of the given rectangle?

I. The perimeter of the rectangle is 60 cm.

II. Breadth of the rectangle is 12 cm.

III. Sum of two adjacent sides is 30 cm.

(a)
I only
(b)
II only
(c)
III only
(d)
I and II only
(e)
I or III only

16 )

A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:

(a)
10%
(b)
10.08%
(c)
20%
(d)
28%

17 )

What will be the cost of gardening 1-metre broad boundary around a rectangular plot having perimeter of 340 metres at the rate of Rs. 10 per square metre?

(a)
Rs. 1700
(b)
Rs. 3400
(c)
Rs. 3440
(d)
Cannot be determined
(e)
None of these

18 )

A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq.m, then what is the width of the road?

(a)
2.91 m
(b)
3 m
(c)
5.82 m
(d)
None of these

19 )

The perimeters of five squares are 24 cm, 32 cm, 40 cm, 76 cm and 80 cm respectively. The perimeter of another square equal in area to the sum of the areas of these squares is :

(a)
31 cm
(b)
62 cm
(c)
124 cm
(d)
961 cm

20 )

A park square in shape has a 3-metre wide road inside it running along its sides. The area occupied by the road is 1764 square metres. What is the perimeter along the outer edge of the road?

(a)
576 metres
(b)
600 metres
(c)
Data inadequate
(d)
None of these

21 )

If the ratio of areas of two squares is 225:256, then the ratio of their perimeters is:

(a)
225 : 256
(b)
256 : 225
(c)
15 : 16
(d)
16 : 15

22 )

If each side of a square is increased by 50%, the ratio of the area of the resulting square to that of the given square is :

(a)
4 : 5
(b)
5 : 4
(c)
4 : 9
(d)
9 : 4

23 )

If the diagonal of a square is made 1.5 times, then the ratio of the areas of two squares is:

(a)
4 :3
(b)
4 :5
(c)
4 :7
(d)
4: 9

24 )

A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq.m, is:

(a)
Rs. 456
(b)
Rs. 458
(c)
Rs. 558
(d)
Rs.568

25 )

The area of a triangle is 216 cm² and its sides are in the ratio 3 : 4 : 5. The perimeter of the triangle is:

(a)
6 cm
(b)
12 cm
(c)
36 cm
(d)
72 cm

26 )

An equilateral triangle is described on the diagonal of a square. What is the ratio of the area of the triangle to that of the square?

(a)
\(2\quad :\sqrt { 3 } \)
(b)
\(4\quad :\sqrt { 3 } \)
(c)
\(\sqrt { 3 } :\quad 2\)
(d)
\(\sqrt { 3 } :\quad 4\)

27 )

If the side of an equilateral triangle is decreased by 20%, its area is decreased by:

(a)
36%
(b)
40%
(c)
60%
(d)
64%

28 )

A parallelogram has sides 30 m and 14 m and one of its diagonals is 40 m long. Then, its area is:

(a)
168 m²
(b)
336 m²
(c)
372 m²
(d)
480 m²

29 )

One diagonal of a parallelogram is 70 cm and the perpendicular distance of this diagonal from either of the outlying vertices is 27 cm. The area of the parallelogram (in sq. cm) is:

(a)
1800
(b)
1836
(c)
1890
(d)
1980

30 )

If a parallelogram with area P, a rectangle with area R and a triangle with area T are all constructed on the same base and all have the same altitude, then which of the following statements is false?