General Aptitude

Question 121

We have 2 rectangular sheets of paper, M and N, of dimensions 6 cm × 1 cm each. Sheet M is rolled to form an open cylinder by bringing the short edges of the sheet together. Sheet N is cut into equal square patches and assembled to form the largest possible closed cube. Assuming the ends of the cylinder are closed, the ratio of the volume of the cylinder to that of the cube is _________.

• π/2
• 3/π
• 9/π
• 3π

Question 122

Details of prices of two items P and Q are presented in the above table. The ratio of cost of item P to cost of item Q is 3:4. Discount is calculated as the difference between the marked price and the selling price. The profit percentage is calculated as the ratio of the difference between selling price and cost, to the cost

Profit% = ((Selling price – Cost)/Cost)×100 

The discount on item Q, as a percentage of its marked price, is _______ .

• 25
• 12.5
• 10
• 5

Question 123

Given below are two statements 1 and 2, and two conclusions I and II

• Statement 1: All bacteria are microorganisms.
• Statement 2: All pathogens are microorganisms.

• Conclusion I: Some pathogens are bacteria.
• Conclusion II: All pathogens are not bacteria.

Based on the above statements and conclusions, which one of the following options is logically CORRECT?

• Only conclusion I is correct
• Only conclusion II is correct
• Either conclusion I or II is correct
• Neither conclusion I nor II is correct

Question 124

A transparent square sheet shown above is folded along the dotted line. The folded sheet will look like ___________.

• A
• B
• C
• D

Question 125

then the value of x is:

• 2
• 4
• 6
• 8

Question 126

A jigsaw puzzle has 2 pieces. One of the pieces is shown above. Which one of the given options for the missing piece when assembled will form a rectangle? The piece can be moved, rotated or flipped to assemble with the above piece.

• A
• B
• C
• D

Question 127

The number of units of a product sold in three different years and the respective net profits are presented in the figure above. The cost/unit in Year 3 was Re. 1, which was half the cost/unit in Year 2. The cost/unit in Year 3 was one-third of the cost/unit in Year 1. Taxes were paid on the selling price at 10%, 13%, and 15% respectively for the three years. Net profit is calculated as the difference between the selling price and the sum of cost and taxes paid in that year. The ratio of the selling price in Year 2 to the selling price in Year 3 is _________.

• 4:3
• 1:1
• 3:4
• 1:2

Question 128

Six students P, Q, R, S, T and U, with distinct heights, compare their heights and make the following observations.

• Observation I: S is taller than R.
• Observation II: Q is the shortest of all.
• Observation III: U is taller than only one student.
• Observation IV: T is taller than S but is not the tallest.

The number of students that are taller than R is the same as the number of students shorter than ____________.

• T
• R
• S
• P

Question 129

If θ is the angle, in degrees, between the longest diagonal of the cube and any one of the edges of the cube, then, cosθ =

• 1/2
• 1/√3
• 1/√2
• √3/2

Question 130

There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag. The probability that at least two chocolates are identical is __________ .

• 0.3024
• 0.4235
• 0.6976
• 0.8125