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Data Inequality and Sufficiency for IBPS PO/RRB

1. Quantity I: Total surface area of cylinder whose radius is 7 cm and height is 10 cm.
Quantity II: Total surface area of cuboid whose dimensions are 10 × 12 × 15 cm.
1) Quantity I > Quantity II
2) Quantity I ≥ Quantity II
3) Quantity I < Quantity II
4) Quantity I ≤ Quantity II
5) Quantity I = Quantity II or Relation cannot be established

2. ABCD is a square and QAC is a triangle. QA= 12 c, QC= 5 cm and ∠Q=90ยบ

Quantity I: Area of  the square ABCD
Quantity II: 150 cm2
1) Quantity I > Quantity II
2) Quantity I ≥ Quantity II
3) Quantity I < Quantity II
4) Quantity I ≤ Quantity II
5) Quantity I = Quantity II or Relation cannot be established

3. From a group of 6 men and 4 women, a committee of 4 persons is to be formed.
Quantity I: In how many different ways can it be done so that the committee has at least one woman.
Quantity II: In how many different ways can it be done so that the committee has at least 2 men.
1) Quantity I > Quantity II
2) Quantity I ≥ Quantity II
3) Quantity I < Quantity II
4) Quantity I ≤ Quantity II
5) Quantity I = Quantity II or Relation cannot be established

4. Out of the total 390 students studying in a college of Arts and Science, the ratio of Boys to Girls is 7:6 and the ratio of the number of students studying Arts and Science is 3:7. The boys and girls studying Arts are in the ratio of 4:5.
Quantity I: Students studying Science 
Quantity II: Sum of the number of students studying Arts and number of girls studying Science.
1) Quantity I > Quantity II
2) Quantity I ≥ Quantity II
3) Quantity I < Quantity II
4) Quantity I ≤ Quantity II
5) Quantity I = Quantity II or Relation cannot be established

5. An urn contains 6 red, 4 blue,  2 green and  3 yellow marbles.
Quantity I: If three marbles are picked randomly, the probability of being two blue marbles and one yellow.
Quantity II: If four marbles are picked randomly, the probability of being one green, two blue and one red marble.
1) Quantity I > Quantity II
2) Quantity I ≥ Quantity II
3) Quantity I < Quantity II
4) Quantity I ≤ Quantity II
5) Quantity I = Quantity II or Relation cannot be established

Directions (6-10): Each of the following questions consist of 3 statements A, B and C. You have to determine which of the following statement/statements are necessary to answer the questions.
6. What is the area of the right-angled triangle?
A. The length of the hypotenuse is 5 cm.
B. The perimeter of the triangle is four times that of its base.
C. One of the angle of the triangle is 600.
1) Both (B) and (C)
2) Either (B) or (C) alone
3) Only (B)
4) All statements are required
5) None of these

7. What is the cost of the milk in the completely filled up cylindrical tank?
A. Area of the base of the tank is 2464 cm2
B. Area of the square with side equal to one-third of the tank’s height is 841 cm².
C. Cost of Milk per litre is Rs. 45.
1) Both (B) and (C)
2) Both (A) and (C)
3) Only (C) and either (A) or (B)
4) All statements are required
5) None of these

8. What is the labelled price of the music system?
A. Rahul purchased the music system for Rs. 2450 and spend Rs. 250 on its transportation.
B. Rahul earned a profit of 20% by selling the music system offering a discount of 5 % on the labelled price.
C. Selling price of the article after offering a discount of 5% on the labelled price is Rs. 3240.
1) Both (B) and (C)
2) Any two of the three
3) Only (C) and either (A) or (B)
4) All statements are required
5) None of these

9. 10 men, 9 women and 5 children can do a piece of work in 14 days. In how many days can 12 men, 15 women and 10 children do the same work?
A. 20 men and 30 women can do the same work in 5 days.
B. Work done by 2 men is equal to work done by 3 women.
C. 6 children can do two-thirds of the same work in 28 days.
1) Any one of them
2) Only (C)
3) (C) and either (A) or (B)
4) Both (A) and (C)
5) Only either (A) or (B)

10. What will be the cost of painting the four walls of a room if length, breadth and height of the wall are 87 metres, 5 metres and 4 metres respectively?  The room has one door and one window.
(A) The cost of painting is Rs. 22.00 per square metres.
(B) The area of the window is 2.56 square metres, which is half the area of the door.
(C) The area of the walls is 368 square metres.
1) Only (C)
2) Only (A) and (B)
3) Only (A) and (C)
4) Only (A)
5) All together are necessary

Answers:
  1. 3
  2. 2
  3. 5
  4. 1
  5. 3
  6. 1
  7. 4
  8. 5
  9. 4
  10. 2
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