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Aptitude — Aptitude Areas Mcq Set 3

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1. The areas of two similar triangles are 12 cm2 and 48SQ. cm .If the height of the smaller one is 2.1cm than the corresponding height of the bigger one is

A. 0.525cm
B. 4.2cm
C. 80%
D. . 60%
Correct Option: . 60%

2. A typist uses a paper 30cm x 15cm.He leaves a margin at 2.5cm at the top and the bottom and 12.5cm on either side. What percentage of paper area is approximately available for typing

A. 65%
B. 70%
C. 80%
D. 60%
Correct Option: 60%

3. The area of largest triangle that can be inscribed in a semicircle of radius R cm is

A. 2R cm2
B. R2 cm2
C. 1/2 R2 cm 2
D. 2 R2 cm 2
Correct Option: R2 cm2

4. . The area of a rhombus in 2016 Sq.cm and its side is 65cm. The length of its diagonals are

A. 125cm, 35cm
B. 126cm,32cm
C. 132cm,26cm
D. 135cm,25cm
Correct Option: 126cm,32cm

5. If the side of a square is increased by 25% then it's area is increased by

A. 25%
B. 40.5%
C. 55%
D. 56.25%
Correct Option: 56.25%

6. The area of a square field is 6050Sq.m.The length of it diagonal is

A. 110m
B. 112m
C. 120cm
D. 135m
Correct Option: 110m

7. The area of a circle is 24.64Sq.m. the circumference of circle is

A. 14.64cm
B. 16.36m
C. 17.60m
D. 18.40m
Correct Option: 17.60m

8. The difference between the radi of the smaller circle and the bigger circle is 7cm and the difference between the area of two circles is 1078Sq.cm Radius of the smaller circle is :

A. 17.5cm
B. 21cm
C. 28cm
D. None of these
Correct Option: None of these

9. The area of a circle is increased by 22Sq.cm when it's radius is increased by 1cm. The original radius of the circle is

A. 6cm
B. 3.2 cm
C. 3 cm
D. 3.5 cm
Correct Option: 3 cm

10. If the radius of a circle is increased to 3 times, then how many times will it's circumference be increased?

A. 2times
B. 3times
C. 1/3 times
D. 9times
Correct Option: 2times

11. The perimeter of a circle and a square field are equal. What is the diameter of the circle field if the area of the square field is 484 sq.m?

A. 14m
B. 21m
C. 28m
D. None of these
Correct Option: 28m

12. The perimeter of circle field and a square field are equal. If the area of these square field is 12100m2, the area of a circular field will be?

A. 15500Sq.m
B. 15400Sq.m
C. 15200Sq.m
D. 15300Sq.m
Correct Option: 15400Sq.m

13. The wire bent in the form of a square enclose an area of 484 Sq.cm. If the same wire is bent so as to from a circle than the area enclosed will be?

A. 484Sq.cm
B. 538 2/7 Sq.cm
C. 616 Sq.cm
D. 644 Sq.cm
Correct Option: 616 Sq.cm

14. A wheel makes 1000 revolutions is covering a distance of 88 km. the diameter of the wheel is

A. 14m
B. 24m
C. 28m
D. 40m
Correct Option: 28m

15. The radius of a circular wheel is 17.5m. How many revolutions will it make in travelling 11km?

A. 10
B. 100
C. 1000
D. 10,000
Correct Option: 1000

16. What is the diameter of a wheel that makes 113 revolution to go 2km 26 decametre?

A. 4 4/13 m
B. 6 4/11m
C. 12 4/11m
D. 12 8/11m
Correct Option: 6 4/11m

17. The area of the base of a rectangular tank is 6500Sq.cm and the volume of water containing in it is 2-6 cubic meters. The depth of the water in the tank is

A. 2.5m
B. 3m
C. 5.5m
D. 4m
Correct Option: 4m

18. The water in a rectangular reservoir having a base 80m by 60m is 6.5m deep.In what time can the water be amplified by a pipe of which the cross section is a square of a side 20cm if the water runs through the pipe at the rate of 15km per hour?

A. 26hours
B. 42hours
C. 52hours
D. 65hours
Correct Option: 52hours

19. A rectangular tank is 225 m by 162m at the base with what speed must water flow into it through an aperture 60cm by 45cm that the level may be raised 20cm in 5 hours?

A. 5000 m/hr
B. 5200m/hr
C. 5400 m/hr
D. 5600 m/hr
Correct Option: 5400 m/hr

20. A cuboidal water tank contains 216 liters is water. Its depth is 1/3 of its length and breadth is ½ of 1/3 of the difference between length and depth. The length of the tank?

A. 2dm
B. 6dm
C. 18dm
D. 72dm
Correct Option: 18dm

21. A swimming bath is 24 m long and 15 m broad. When a number of men drive into the bath. The height of water rises by 1cm. If the average volume of water displaced by each man be 0.1m3 how many mean are there in the both?

A. 32
B. 36
C. 42
D. 46
Correct Option: 36

22. What part of a ditch 48m long 16.5 broad and 4m deep can be filled by the earth got by digging a cylindrical tunnel of diameter 4m and length 56m?

A. 1/9
B. 2/9
C. 7/9
D. 8/9
Correct Option: 2/9

23. A tank is 7m long and 4m wide at what speed should water run through pipes 5cm broad and 4cm deep so that in 6 hours and 18 minutes, the water level in the tank rises by 4.5cm?

A. 12km/hr
B. 10km/hrC.
C. 14km/hr
D. None of these
Correct Option: 10km/hrC.

24. An agricultural field is in the form of a rectangle of length 20m and width 14m. A pit 6m long 3m wide and 2.5m deep is dug in a corner of the field and earth taken out of the pit is spread uniformly over. The remaining area of the field. The level of the field has raised by?

A. 15.16cm
B. 16.17cm
C. 17.18cm
D. 18.19m
Correct Option: 17.18cm

25. A rectangular tank measuring (5m x 4.5m x 2.1m) is dug in the center of the field measuring 13.5m x 2.5m. The earth dug out is speed every over the remaining portion of the field raised?

A. 4m
B. 4.1cm
C. 4.2cm
D. 4.3m
Correct Option: 4.2cm

26. A plot of land in the form of a rectangle has dimensions 240m x 180m. A draint 10m wide is dug all around it on the outside and the earth dug out is evenly spread over the plot increasing its surface level by 25cm. The depth of the drailent of

A. 1.233m
B. 1.225m
C. 1.227m
D. 1.229m
Correct Option: 1.227m

27. The sum of the length breadth and depth of cuboid is 19cm and it's diagonal is 5√5 cm it's surface area is?

A. 125 Sq.cm
B. 236 Sq.cm
C. 361 Sq.cm
D. None of these
Correct Option: 236 Sq.cm

28. The product of the area of three adjacent faces of a rectangular box is equal to

A. the volume of the box
B. Twice the volume of the box
C. . the square of the volume of the box
D. Cube root of the volume of the box
Correct Option: . the square of the volume of the box

29. Water flows a tank 200 x 150m through a rectangular pipe 1.5 x 1.25m at the rate at 20kmph. In what time will be water rises by 2 meters?

A. 76 min
B. 80 min
C. 90 min
D. 96 min
Correct Option: 96 min

30. The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:

A. 1520 m2
B. 2420 m2
C. 2480 m2
D. 2520 m2
Correct Option: 2520 m2

31. The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

A. 25% increase
B. 50% increase
C. 50 decrease
D. 75% decrease
Correct Option: 50% increase

32. A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?

A. 34
B. 40
C. 68
D. 88
Correct Option: 88

33. Jay's room has a floor of 8m by 4m. He decides to tile the floor with tiles of 25cm x 20 cm. How many tiles will he need?

A. 320 tiles
B. 640 tiles
C. 160 tiles
D. 6.4 tiles
Correct Option: 640 tiles