Qs. 1: A veranda, 40 metres long and 15 meters broad, is to be paved with stones each measuring
6 dm by 5 dm. The number of stones required is
1. 200
2. 2,000
3. 3,000
4. 30,000
Correct Ans. 2
Solution: Number of stones =
= 2,000.
Qs. 2: Directions: In the following question, there is a certain relationship between two given words on
one side of: : and on the another side of : : while another word is to be found from the given alternatives,
having the same relation with this word as the words of the given pair bear. Choose the correct
alternative.
Blind : Visual : : Deaf : ?
1. Sound
2. Auditory
3. Hearing
4. Listening
Correct Ans. 2
Solution: Blind possesses visual defects. Similarly, a deaf has auditory defects.
Qs. 3: If A, B, C denote the areas of the three adjacent faces of a rectangular solid and V denotes
its volume, then
1. V2 = 2 ABC
2. V2 = ABC
3. V2 = 8 ABC
4. V2 = 9ABC2
Correct Ans. 2
h=A
Solution: Area of one Face =
Area of second Face = h
Area Third Face =
b=B
b=C
By multiplying them, we get
=
2
b2 h2 = ABC
… (1)
Volume of rectangular solid =
V=
bh
b
h
V=
(from the 1 equation)
V2 = ABC.
Qs. 4: A cylindrical tank of radius 12 ft and height 16 ft is full of water. How much water will spill
out of the tank, if a spherical ball of radius 2 ft is dropped into it?
1.
2.
3.
4.
Correct Ans. 3
Solution: The volume of the water that spills out is equal to the volume of the ball.
Qs. 5: PQ is the diameter of a circle with radius 5. If the length of RS is 6, what is the area of the
trapezium PQRS?
1. 20
2. 32
3. 40
4. 48
Correct Ans. 2
Solution:
RT = 3, OR = 5
Area =
(6 + 10)
OT = 4.
4 = 32.
Qs. 6: The straight lines x + y = 0, 3x + y − 4 = 0 and x + 3y − 4 = 0 form which of the following
triangle?
1. isosceles
Incorrect Type:
Explanation: First two lines intersect at (2, - 2)….(A)
Second and third line intersects at (1, 1)… (B)
First and the last line intersect at (- 2, 2)…(C)
Distance of A and C from B is equal, whereas AC is not equal to them. Hence, it is an isosceles triangle.
2. equilateral
Incorrect Type: Concept based
Explanation: You may have wrongly calculated the distance of the point AC equal to the other two sides.
3. right angled
Incorrect Type: Concept based
Explanation: You may have taken the second and the third line as perpendicular.
4. none of these
Incorrect Type: Concept based
Explanation: First two lines intersect at (2, - 2)….(A)
Second and third line intersects at (1, 1)… (B)
First and the last line intersect at (- 2, 2)…(C)
Distance of A and C from B is equal, whereas AC is not equal to them. Hence, it is an isosceles triangle.
Correct Ans. 1