Each question is followed by two statements A and B. Indicate your
response based on the following directives.
Mark (1) if the questions can be answered using A alone but not using B alone.
Mark (2) if the question can be answered using B alone but not using A alone.
Mark (3) if the question can be answered using A and B together, but not using either A or B alone.
Mark (4) if the question cannot be answered even using A and B together.
7. The average weight of a class of 100 students is 45 kg. The class consists of two sections, I and II,
each with 50 students. The average weight, I W , of Section I is smaller than the average weight II W ,
of the Section II. If the heaviest student say Deepak, of section II is moved to Section I, and the
lightest student, say Poonam, of Section I is moved to Section II, then the average weights of the
two sections are switched, i.e., the average weight of Section I becomes II W and that of Section II
becomes I W . What is the weight of Poonam?
A: WII – WI = 1.0 .
B: Moving Deepak from Section II to I (without any move I to II) makes the average weights of the
two sections equal.
8. ABC Corporation is required to maintain at least 400 Kilolitres of water at all times in its factory, in
order to meet safety and regulatory requirements. ABC is considering the suitability of a spherical
tank with uniform wall thickness for the purpose. The outer diameter of the tank is 10 meters. Is the
tank capacity adequate to met ABC’s requirements?
A: The inner diameter of the tank is at least 8 meters.
B: The tank weights 30,000 kg when empty, and is made of a material with density of 3 gm/cc.
9. Consider integers x, y, z. What is the minimum possible value of x2 + y2 + z2 ?
A: x + y + z = 89.
B: Among x, y, z two are equal.
10. Rahim plans to draw a square JKLM with point O on the side JK but is not successful. Why is
Rahim unable to draw the square?
A: The length of OM is twice that of OL.
B: The length of OM is 4 cm.
Solution :
7. 3 Using A: WII = 45.5 and WI = 44.5
Using B: Weight of Deepak = 70kg (Only after using
statement A)
This is sufficient to find weight of Poonam using the
data given in the question statement. Hence option (3)
is correct choice.
8. 2 Using A: Inner radius of the tank is atleast 4 m. So volume
4 3
r where 4 r 10
3
= π < <
This volume can be greater as well as smaller than
400 for different r.
Using B: The given data gives the volume of the material of tank, which can be expressed as
4 3 3
(10 r ),
3
π − which will give the value of r which is unique and sufficient to judge if the capacity is
adequate. Hence option (2) is correct choice.
9. 1 Using A: x = 30, y = 30 and z = 29 will give the minimum value.
Using B: Nothing specific can be said about the relation between x, y and z.
Hence option (1) is correct choice.
10. 1 Using A:
OM 2
---- = -----
OL 1
But if O lies on JK, maximum possible value of (when O lies on K)
OM sqrt 2
------ = --------
OL 1
So, Rahim is unable to draw such a square Using B: Nothing specific can be said about the
dimensions of the figure. Hence option (1) is correct choice.
response based on the following directives.
Mark (1) if the questions can be answered using A alone but not using B alone.
Mark (2) if the question can be answered using B alone but not using A alone.
Mark (3) if the question can be answered using A and B together, but not using either A or B alone.
Mark (4) if the question cannot be answered even using A and B together.
7. The average weight of a class of 100 students is 45 kg. The class consists of two sections, I and II,
each with 50 students. The average weight, I W , of Section I is smaller than the average weight II W ,
of the Section II. If the heaviest student say Deepak, of section II is moved to Section I, and the
lightest student, say Poonam, of Section I is moved to Section II, then the average weights of the
two sections are switched, i.e., the average weight of Section I becomes II W and that of Section II
becomes I W . What is the weight of Poonam?
A: WII – WI = 1.0 .
B: Moving Deepak from Section II to I (without any move I to II) makes the average weights of the
two sections equal.
8. ABC Corporation is required to maintain at least 400 Kilolitres of water at all times in its factory, in
order to meet safety and regulatory requirements. ABC is considering the suitability of a spherical
tank with uniform wall thickness for the purpose. The outer diameter of the tank is 10 meters. Is the
tank capacity adequate to met ABC’s requirements?
A: The inner diameter of the tank is at least 8 meters.
B: The tank weights 30,000 kg when empty, and is made of a material with density of 3 gm/cc.
9. Consider integers x, y, z. What is the minimum possible value of x2 + y2 + z2 ?
A: x + y + z = 89.
B: Among x, y, z two are equal.
10. Rahim plans to draw a square JKLM with point O on the side JK but is not successful. Why is
Rahim unable to draw the square?
A: The length of OM is twice that of OL.
B: The length of OM is 4 cm.
Solution :
7. 3 Using A: WII = 45.5 and WI = 44.5
Using B: Weight of Deepak = 70kg (Only after using
statement A)
This is sufficient to find weight of Poonam using the
data given in the question statement. Hence option (3)
is correct choice.
8. 2 Using A: Inner radius of the tank is atleast 4 m. So volume
4 3
r where 4 r 10
3
= π < <
This volume can be greater as well as smaller than
400 for different r.
Using B: The given data gives the volume of the material of tank, which can be expressed as
4 3 3
(10 r ),
3
π − which will give the value of r which is unique and sufficient to judge if the capacity is
adequate. Hence option (2) is correct choice.
9. 1 Using A: x = 30, y = 30 and z = 29 will give the minimum value.
Using B: Nothing specific can be said about the relation between x, y and z.
Hence option (1) is correct choice.
10. 1 Using A:
OM 2
---- = -----
OL 1
But if O lies on JK, maximum possible value of (when O lies on K)
OM sqrt 2
------ = --------
OL 1
So, Rahim is unable to draw such a square Using B: Nothing specific can be said about the
dimensions of the figure. Hence option (1) is correct choice.
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