The question from the logical reasoning topic for the Common Admission Test which is required for reference purpose is as follows

A shop stores xkg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. Then the third customer also buys half the remaining amount plus half a kg of rice. Thereafter, no rice is left in the shop. Which of the following best describes the value of x?
(1) 2 ≤ x ≤ 6 (2) 5 ≤ x ≤ 8 (3) 9 ≤ x ≤ 12 (4) 11≤ x ≤ 14 (5) 13 ≤ x ≤ 18

What is the other root of f(x) = 0?
(1) −7 (2) − 4 (3) 2 (4) 6 (5) cannot be determined

What is the value of a + b + c?
(1) 9 (2) 14 (3) 13 (4) 37 (5) cannot be determined

4. The number of common terms in the two sequences 17, 21, 25, … , 417 and 16, 21, 26, … , 466 is
(1) 78 (2) 19 (3) 20 (4) 77 (5) 22

Neelam rides her bicycle from her house at Ato her club at C, via Btaking the shortest path. Then the
number of possible shortest paths that she can choose is
(1) 1170 (2) 630 (3) 792 (4) 1200 (5) 936

The integers 1, 2, …, 40 are written on a blackboard. The following operation is then repeated 39 times:
In each repetition, any two numbers, say a and b, currently on the blackboard are erased and a new number a + b –1 is written. What will be the number left on the board at the end?
(1) 820 (2) 821 (3) 781 (4) 819 (5) 780

Suppose, the speed of any positive integer nis defined as follows:
seed(n) = n, if n < 10 = seed(s(n)), otherwise, where s(n) indicates the sum of digits of n. For example,
seed(7) = 7, seed(248) = seed(2 + 4 + 8) = seed(14) = seed(1 + 4) = seed(5) = 5 etc. How many positive integers n, such that n < 500, will have seed(n) = 9?
(1) 39 (2) 72 (3) 81 (4) 108 (5) 55

In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm and 9 cm respectively. Let D be a point on the line segment BC such that AD is perpendicular to BC. If AD = 3 cm, then what is the radius (in cm) of the circle circumscribing the triangle ABC?
(1) 17.05 (2) 27.85 (3) 22.45 (4) 32.25 (5) 26.25

What are the last two digits of 7?
(1) 21 (2) 61 (3)01 (4)41 (5)81

Consider obtuse-angled triangles with sides 8 cm, 15 cm and xcm. If xis an integer, then how many such triangles exist?
(1) 5 (2) 21 (3) 10 (4) 15 (5) 14

How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2,
3 and 4, if repetition of digits is allowed?
(1) 499 (2) 500 (3) 375 (4) 376 (5) 501

What is the number of distinct terms in the expansion of (a +b + c)?
(1) 231 (2) 253 (3) 242 (4) 210 (5) 228