12/17/22, 9:46 PM
Quantitative Aptitude CAT - 3: Attempt review
Dashboard / My courses / CLAD1021_220003615 / CAT- TEST- Verbal & Quant / Quantitative Aptitude CAT - 3
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Time taken
Saturday, 17 December 2022, 8:45 PM
Finished
Saturday, 17 December 2022, 9:45 PM
1 hour
Question 1
Complete
Marked out of 1.00
A field in the form of a parallelogram has one of its diagonals 42 m long, and the perpendicular distance of this diagonal from either of the
outlying vertices is 10.8 m. Find the area of the field.
a.
435.6 m2
b. 456.3 m2
c.
None of these
d. 453.6 m2
Question 2
Complete
Marked out of 1.00
Find the area of the given figure.
a.
414 cm2
b. 180 cm2
c.
234 cm2
d. None of these
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Quantitative Aptitude CAT - 3: Attempt review
Question 3
Complete
Marked out of 1.00
Find the area of the shaded region in the below figure, where the radii of the two concentric circles with center O are 7 cm and 14 cm,
respectively, and angle AOC = 400
a.
410.67 cm2
b. 410 cm2
c.
None of these
d. 410.57 cm2
Question 4
Complete
Marked out of 1.00
The minute hand of a clock is 10 cm long. Find the area of the face of the clock described by the minute hand between 8 am and 8.25 am.
a.
130.95 cm2
b. 139.05 cm2
c.
None of these
d. 130 cm2
Question 5
Complete
Marked out of 1.00
A chord PQ of length 12 cm subtends an angle of 1200 at the center of a circle. Find the area of the minor segment cut off by the chord PQ.
a.
None of these
b.
–
4(4π − 3√3 )
cm2
c.
–
4(6π − 3√3 )
cm2
d.
–
4(4π − 6√3 )
cm2
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Quantitative Aptitude CAT - 3: Attempt review
Question 6
Complete
Marked out of 1.00
A brooch is made with silver wire in the form of a circle with a diameter of 35mm. The wire is also used in making 5 diameters which divide
the circle into 10 equal sectors as shown in the below figure.
Find the area of each sector of the brooch.
a.
395
b.
375
c.
385
4
4
4
mm2
mm2
mm2
d. None of these
Question 7
Complete
Marked out of 1.00
A field in the form of a rhombus has each side of length 64 m and an altitude of 16 m. What is the side of a square field which has the same
area as that of a rhombus?
a.
16 m
b. None of these
c.
32 m
d. 64 m
Question 8
Complete
Marked out of 1.00
–
A chord 10 cm long is drawn in a circle whose radius is 5√2 cm. Find the area of the minor segment.
a.
None of these
b. 13.25 cm2
c.
14.25 cm2
d. 15.25 cm2
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Quantitative Aptitude CAT - 3: Attempt review
Question 9
Complete
Marked out of 1.00
In the below figure, find the area of the shaded region.
a.
None of them
None of these
b. 78.50 cm2
c.
30.50 cm2
d. 48 cm2
Question 10
Complete
Marked out of 1.00
If the area of a square is the same as the area of a circle, then the ratio of their perimeters, in terms of π , is
a.
–
: √2
π
−
b. 2: √−
π
c.
3:π
d.
–
π √3
:
Question 11
Complete
Marked out of 1.00
The area of a trapezium is 180 cm2, and its height is 9 cm. If one of the parallel sides is longer than the other by 6 cm, find the two parallel
sides.
a.
None of these
b. 34 cm & 46 cm
c.
1.7 cm & 2. 3 cm
d. 17 cm & 23 cm
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Quantitative Aptitude CAT - 3: Attempt review
Question 12
Complete
Marked out of 1.00
In a circle of radius 21 cm, an arc subtends an angle of 600 at the center. Find the length of the arc.
a.
11 cm
b. None of these
c.
44 cm
d. 22 cm
Question 13
Complete
Marked out of 1.00
A car wheels which are 80 cm in diameter. How many complete revolutions does each wheel make in 10 minutes when the car is traveling at
a speed of 66 km per hour?
a.
25
b. 125
c.
250
d. None of these
Question 14
Complete
Marked out of 1.00
A chord of a circle of radius 14 cm makes a right angle at the center. Find the area of the major segment of the circle.
a.
560 cm2
b. None of these
c.
460 cm2
d. 660 cm2
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Quantitative Aptitude CAT - 3: Attempt review
Question 15
Complete
Marked out of 1.00
Mrs. Kaushik has a square plot shown in the figure. She wants to construct a house in the middle of the plot. A garden is developed around
the house. Find the total cost of developing a garden around the house if the cost of developing a garden is Rs.55 per square meter.
a.
None of these
b. Rs.17578
c.
Rs.17875
d. Rs.18775
Question 16
Complete
Marked out of 1.00
A drain cover is made from a square metal plate of side 40 cm having 441 holes of diameter 1 cm each drilled in it. Find the area of the
remaining square plate.
a.
1263.5 cm2
b. 1273.5 cm2
c.
None of these
d. 1253.5 cm2
Question 17
Complete
Marked out of 1.00
A boy is cycling such that the wheel of the cycle is making 140 revolutions per minute. If the diameter of the wheel is 60 cm, calculate the
speed per hour with which the boy is cycling.
a.
None of these
b. 15.84 kmph
c.
1.54 kmph
d. 15.84 km
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Quantitative Aptitude CAT - 3: Attempt review
Question 18
Complete
Marked out of 1.00
The length of the fence of a trapezium-shaped field ABCD is 120 m. If BC = 48 m, CD = 17 m, and AD = 40 m, find the area of this field. Side
AB is perpendicular to the parallel sides AD and BC.
a.
None of these
b. 330 m2
c.
1320 m
d. 660 m2
Question 19
Complete
Marked out of 1.00
In the below-given figure, PQRS is a square, and T and U are, respectively, the mid-points of PS and QR. Find the area of triangle OTS if PQ =
8 cm.
a.
16 cm2
b. None of these
c.
4 cm2
d. 8 cm2
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Quantitative Aptitude CAT - 3: Attempt review
Question 20
Complete
Marked out of 1.00
A brooch is made with silver wire in the form of a circle with a diameter of 35mm. The wire is also used in making 5 diameters which divide
the circle into 10 equal sectors as shown in the below figure.
Find the length of the silver wire required.
a.
385 m
b. None of these
c.
285 m
d. 285 mm
Question 21
Complete
Marked out of 1.00
The difference between the circumference and radius of a circle is 37 cm. The area of the circle is.
a.
154 cm2
b. 148 cm2
c.
111 cm2
d. 259 cm2
Question 22
Complete
Marked out of 1.00
The length of a side of a square field is 4 m. What will be the altitude of the rhombus, if the area of the rhombus is equal to the square field
and one of its diagonals is 2 m?
a.
−
−
16/√55
−
−
b. 16/√66
c.
None of these
−
−
d. 16/√65
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Quantitative Aptitude CAT - 3: Attempt review
Question 23
Complete
Marked out of 1.00
Suppose a quadrilateral has a diagonal of length 10 cm, which divides the quadrilateral into two triangles, and the heights of triangles with
diagonals as the base are 4 cm and 6 cm. Find the area of the quadrilateral.
a.
None of these
b. 50 cm2
c.
50 cm
d. 100 cm
Question 24
Complete
Marked out of 1.00
The ratio of the outer and inner perimeters of a circular path is 23: 22. If the path is 5 meters wide, then the diameter of the inner circle is.
a.
230 m
b. 220 m
c.
110 m
d. 55 m
Question 25
Complete
Marked out of 1.00
ABCD is a flower bed. If OA = 21 m, and OC = 14 m, find the area of the bed.
a.
385 m2
b. 192.5 m2
c.
770 m2
d. None of these
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Quantitative Aptitude CAT - 3: Attempt review
Question 26
Complete
Marked out of 1.00
In the figure, AB||CD and t is a transversal, the value of x is equal to:
a.
35°
b. 70°
c.
50°
d. 20°
Question 27
Complete
Marked out of 1.00
In the figure, if AB||CD, then find the value of x.
a.
40
b. 30
c.
20
d. 10
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Quantitative Aptitude CAT - 3: Attempt review
Question 28
Complete
Marked out of 1.00
In the figure, if AB||CD, then find the value of APQ.
a.
30
b. 50
c.
130
d. 150
Question 29
Complete
Marked out of 1.00
In the figure, AOB makes a straight line. What is the value of an acute angle?
a.
78°
b. 104°
c.
102°
d. 76°
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Quantitative Aptitude CAT - 3: Attempt review
Question 30
Complete
Marked out of 1.00
In the figure, l1||l2, the value of x is:
a.
100°
b. 70°
c.
110°
d. 80°
Question 31
Complete
Marked out of 1.00
If two lines are perpendicular to the same line, then those lines are
a.
More than one answer
b. Intersecting
c.
perpendicular to each other
d. parallel to each other
Question 32
Complete
Marked out of 1.00
In the figure, if AB = AC, find x.
a.
50°
b. 55°
c.
70°
d. 110°
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Quantitative Aptitude CAT - 3: Attempt review
Question 33
Complete
Marked out of 1.00
In the figure, AB||CD, find the value of x.
a.
285
b. 75
c.
105
d. 90
Question 34
Complete
Marked out of 1.00
From the figure, identify the incorrect statement, given that l||m and t is the transversal.
a.
∠2 and ∠8 are supplementary
b. ∠2 and ∠5 are supplementary
c.
∠2 and ∠1 are supplementary
d. ∠2 and ∠3 are supplementary
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Quantitative Aptitude CAT - 3: Attempt review
Question 35
Complete
Marked out of 1.00
In the figure, if AB||CD, ∠APQ = 50° and ∠PRD=127°, find y-x.
a.
50
b. 127
c.
77
d. 27
Question 36
Complete
Marked out of 1.00
In a triangle ABC, if ∠A = 53° and ∠C = 44°, then the value of ∠B is:
a.
73°
b. 46°
c.
93°
d. 83°
Question 37
Complete
Marked out of 1.00
If the rainfall on a certain day was 5 cm, how many liters of water fell on a 1-hectare field on that day?
5000 liters
500 liters
50000 liters
500000 liters
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Quantitative Aptitude CAT - 3: Attempt review
Question 38
Complete
Marked out of 1.00
What is the weight of a cubical block of ice 50 cm in length if one cubic meter of ice weighs 900 kilograms?
112.5 kg
1125 g
112.5 g
1125 kg
Question 39
Complete
Marked out of 1.00
What will be the labor charges for digging a cuboidal pit 8m long, 6 m broad, and 3 m deep at the rate of Rs. 20 m3
2880
288144
288
1440
Question 40
Complete
Marked out of 1.00
How many bricks of size 22 cm x 10 cm x 7 cm are required to construct a wall 33 m long, 3.5 m high, and 40 cm thick if cement and sand
used in the construction occupy 1/10 th part of the wall?
270000
27000
2700
41580000
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