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Browse complete papersThe distance between two cities A and B is 270 km. Car M starts from A at the speed of 80 kmph and car H starts from B at the speed of 100 kmph at the same time. If they are moving towards each other, then the time (in hrs) required for these cars to meet each other is
1
1.5
2
0.5
Correct answer
1
A person A travelled a certain distance in 5 hr and 30 min. He travelled two-thirds of this distance by a train at a speed of 60 kmph and the remaining distance by a bus at a speed of 45 kmph. Then the total distance (in km) travelled by A is
396
216
297
307
Correct answer
396
Directions for question : In each of the following question a statement is given followed by two conclusions numbered I and II. You have to decide which of the conclusion(s) follow(s) from the given statement.
Statement : Teaching is the profession that shapes all professionals.
Conclusions :
I) Without a teacher, there will be no Doctor, no Engineer, no Lawyer and even no Teacher.
II) Now a days some teachers are not doing justice to their profession.
if only conclusion I follows
if only conclusion II follows
if neither conclusion I nor II follows
if both conclusions I and II follow.
Correct answer
if only conclusion I follows
Directions for question : In each of the following question a statement is given followed by two conclusions numbered I and II. You have to decide which of the conclusion(s) follow(s) from the given statement.
Statement : India's economy is dependent mainly on forests.
Conclusions:
I) Maintenance of forests alone improves Indian economy.
II) Forests should be preserved to improve the Indian economy.
if only conclusion I follows
if only conclusion II follows
if neither conclusion I nor II follows
if both conclusions I and II follow.
Correct answer
if only conclusion I follows
Directions for question : In each of the following question a statement is given followed by two conclusions numbered I and II. You have to decide which of the conclusion(s) follow(s) from the given statement.
Statement : Use of cosmetics is hazardous
Conclusions:
I) Cosmetics cause side effects.
II) Cosmetics are inexpensive.
if only conclusion I follows
if only conclusion II follows
if neither conclusion I nor II follows
if both conclusions I and II follow.
Correct answer
if only conclusion I follows
A right circular cone is exactly surmounted on the top of a cylindrical pillar with its vertex pointed upwards to construct a pylon. If the heights of the cone and cylinder are 3 m and 6 m respectively and the total volume of that hollow pylon is 22 m3, then the radius of the cone (in mts) is
2
\(\frac{2}{7}\)
\(\frac{18}{7}\)
1
Correct answer
2
A closed right circular cylinder circumscribes a glass vessel which is in the form of a right circular cone exactly surmounted on its circumference by a hemisphere. If the heights of the cylinder and the cone are 10 cm and 6 cm respectively, then the volume of the cylinder (in cubic cm) that is not covered by the glass vessel is
256 π
224 π
\(\frac{256}{3}\) π
\(\frac{224}{3}\) π
Correct answer
256 π
From a cylindrical wooden block of height 30 cm, a right circular cone of the same height and same base is carved out. If the semi-vertical angle of the cone is 45°, then the sum of the areas of internal and external surfaces of the remaining wooden block is (in sq. cms)
900 π
900π (3 + √2)
900π (9 + √2)
1800 π
Correct answer
900 π
If three solid metallic cubes with edges 9 cm, 12 cm and 15 cm respectively are melted and a single cube is casted with the entire metal, then the length (in cms) of its edge is
20
19
16
18
Correct answer
20
A solid right circular metallic cone of height 21 cm and radius 3 cm is melted to form a solid cylinder of height 7 cm. Then the lateral surface area of the cylinder (in sq. cms) is
132
144
112
154
Correct answer
132