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This quiz consists of questions from past
XAT actual papers. Leave your answers/ responses in the comments section below
and soon we’ll let you know the correct answers!

1.
If F(x, n) be the number of ways of distributing “x” toys to “n” children so
that each child receives at the most 2 toys then F(4, 3) = _______?

(A) 2           (B) 3          (C) 4             (D) 5             (E) 6 

2.
In a cricket match, Team A scored 232 runs without losing a wicket. The score
consisted of byes, wides and runs scored by two opening batsmen: Ram and Shyam.
The runs scored by the two batsmen are 26 times wides. There are 8 more byes
than wides. If the ratio of the runs scored by Ram and Shyam is 6:7, then the
runs scored by Ram is

(A) 88           (B) 96          (C) 102             (D) 112        (E) None of the above

Questions
3 – 5: A, B, C, D, E and F are six positive integers such that

B
+ C + D + E = 4A

C
+ F = 3A

C
+ D + E = 2F

F
= 2D

E
+ F = 2C + 1

3.
18. The value of C is

(A) 23   
(B) 21      (C) 19      (D) 17    
(E) 13

4.
The value of F is

(A) 14   
(B) 16      (C) 20      (D) 24    
(E) 28 

5.
Which of the following must be true?

(A) D is the lowest integer and D = 14

(B) C is the greatest integer and C = 23

(C) B is the lowest integer and B = 12

(D) F is the greatest integer and F = 24

(E) A is the lowest integer and A = 13 

6.
A train left station X at A hour B minutes. It reached station Y at B hour C
minutes on the same day, after travelling C hours A minutes (clock shows time
from 0 hours to 24 hours). Number of possible value(s) of A is

(A) 0         (B) 1         (C) 2         (D) 3         (E) None of the above 

7.
Two circles of radius 1 cm touch at point P. A third circle is drawn through
the points A, B and C such that PA is the diameter of the first circle, and BC
– perpendicular to AP – is the diameter of the second circle. The radius of the
third circle is

(A) 9/5         (B) 7/4         (C) 5/3         (D) √10/2         (E) 2 

8.
Consider a sequence −6, −12, 48, 24, −30, −36, 42 … If sum of the first n terms
of the sequence is 132, then the value of n is?

(A) 11          (B) 13         (C) 18         (D) 22         (E) No solution exists 

9.
The co-ordinates of P and Q are (0, 4) and (a, 6), respectively. R is the
midpoint of PQ. The perpendicular bisector of PQ cuts X-axis at point S(b, 0).
For how many integers value(s) of “a”, b is an integer?

(A) 4         (B) 3         (C) 2         (D) 1         (E) 0  

10.
In an examination there are 30 questions. 1 mark is given for each correct
answer and 0.25 is deducted for every incorrect answer. Ankur attempted all the
questions and scored 13.75. How many incorrect answers did he have?  

A. 10 

B. 11 

C. 12 

D. 15 

E. None of the above

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Answers

1(e)    2(b)    
3(a)    4(e)     5(c)   
 6(a)   7(c)   
8(e)     9(a)    10(e)   

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