List of practice Questions

Let \( u_0 = 0 \), and \( u_{n+1} = 2u_n + 1 \). What is the value of \( u_{10} \)? (nearest to)

What are the values of three integers \( a, b, \) and \( c \)? I. \( ab = 8 \)
I II. \( bc = 9 \)

What is the price of mangoes per kg? I. Ten kg of mangoes and two dozens of oranges cost Rs. 252.
I II. Two kg of mangoes could be bought in exchange for one dozen oranges.

A box contains 6 red, 7 green, and 5 blue balls (all distinct in size). What is the probability that the selected red ball is the smallest red ball?

Two oranges, three bananas and four apples cost Rs.15. Three oranges, two bananas and one apple cost Rs.10. I bought 3 oranges, 3 bananas and 3 apples. How much did I pay?

Ship is 18 miles from shore when a seaplane, 10x faster, is sent. Where does it catch up?

Four cities are connected by roads as shown. In how many ways can you start at a city and come back to it without travelling the same road more than once?

Find the maximum value of \( y = \min\left(\frac{1}{2} - \frac{3x^2}{4}, \frac{5x^2}{4}\right) \) for \( 0<x<1 \)

If a spherical ball is placed on a hollow cone with same diameter, what portion will be outside?

Milk is drunk by

This question has four items. Mark the one that does not belong to this group.
Options relate to horses and related terms.

Each sentence is broken into four parts. Identify the part with an error.

1. Visual recognition involves storing and retrieving of memories.
A. Psychologists of the Gestalt School maintain that objects are recognised as a whole in a procedure.
B. Neural activity, triggered by the eye, forms an image in the brain’s memory system that constitutes an internal representation of the viewed object.
C. Controversy surrounds the question of whether recognition is a single one-step procedure or a serial step-by-step one.
D. When an object is encountered again, it is matched with its internal recognition and thereby recognised.
6. The internal representation is matched with the retinal image in a single operation.

ATMOSPHERE : STRATOSPHERE
Choose the pair of words which best expresses the relationship similar to that expressed in the capitalized pair.

Is the average of the largest and the smallest of four given numbers greater than the average of the four numbers? I. The difference between the largest and the second largest numbers is greater than the difference between the second smallest and the smallest numbers.
I II. The difference between the largest and the second largest numbers is less than the difference between the second largest and the second smallest numbers.

@ (A,B) = average of A and B
*(A,B) = product of A and B
/(A,B) = A divided by B

Which expression gives the sum of A and B?

ABC is an equilateral triangle with AB = AC, and B is 2 km north of A. A person walks from B parallel to AC, stops when directly east of C (point D). Where is D with respect to A?

@ (A,B) = average of A and B
*(A,B) = product of A and B
/(A,B) = A divided by B

If A = 2 and B = 4, what is the value of \(@(/(*(A, B), B), A)\)?

How many more hours would P take compared to Q to complete the journey?

Pyramid of numbers in a pond ecosystem is

A group of workers starts a job. From Day 2 onward, 1 worker is removed each day. The job ends when the last worker is withdrawn. If all had worked full time, the work would’ve been done in 2/3 time. How many workers were initially in the group?

Each sentence is broken into four parts. Identify the part with an error.