Dear readers,

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.
Four digits of the number 29138576 are omitted so that the result is as large
as possible. The largest omitted digit is

(A) 9 

(B) 8 

(C) 7 

(D) 6 

(E) 5

2.
If [X] denotes the greatest integer less than or equal to X, then 

(1/3)
+ (1/3) + (1/99) + (1/3) + (2/99) + ……. + (1/3) + (98/99) =

(A) 33                  (B) 34                 (C) 66                 (D) 67                (E) 98

3.
ABCD is a square. P is the midpoint of AB. The line passing through A and
perpendicular to DP intersects the diagonal at Q and BC at R. If AB = 2 then PR
= ______ ?

(a) 1/2                                                                                                               

(b) √3/2

(c) √2

(d) 1

(e) None of the above

4.
ABCD is a rectangle with AD = 10. P is a point on BC such that ∠APD
= 90 degree. If DP = 8 then the length
of BP is

(A) 6.4                  (B) 5.2                 (C) 4.8                 (D) 3.6                (E) None of the above

Directions
for Questions 5 and 6:

In second year, students at a business
school can opt for Systems, Operations or HR electives only. The number of
girls opting for Operations and the number of boys opting for Systems elective
is 37. Twenty two students opt for operations elective. Twenty girls opt for
Systems and Operations electives. The number of students opting for Systems
elective and the number of boys opting for Operations electives is 37.
Twenty-five students opt for HR electives.

5.
The number of students in the second year is

(A) 73                 (B) 74                 (C) 75             (D) 76                (E) 77 

6.
If 20% of the girls opt for HR electives, then the total number of boys in the
second year is

(A) 54             (B) 53           (C) 52             (D) 51        (E) 50

Question
Nos. 7-8 are followed by two statements labeled as I and II. You have to decide
if these statements are sufficient to conclusively answer the question. Choose
the appropriate answer from options given below:

A.
If statement I alone is sufficient to answer the question.

B.
If statement II alone is sufficient to answer the question.

C.
If statement I and statement II together are sufficient but neither of the two
alone is sufficient to answer the question.

D.
If either statement I or statement II alone is sufficient to answer the
question.

E.
Both statement I and statement II are insufficient to answer the question. 

7.
The base of a triangle is 60 cms, and one of the base angles is 60 degree. What
is length of the shortest side of the triangle?

I. The sum of lengths of other two sides is
80 cms.

II. The other base angle is 45 degree

8.
A, B, C, D, E and F are six integers such that E A, A

I. E + B

II. D

9. Rajiv is a student in a business school. After
every test he calculates his cumulative average. QT and OB were his last two
tests. 83 marks in QT increased his average by 2. 75 marks in OB further
increased his average by 1. Reasoning is the next test, if he gets 51 in
Reasoning, his average will be _____?

(A) 63                (B) 62                 (C) 61             (D) 60              (E) 59      

10.
ABCD is a quadrilateral. The diagonals of ABCD intersect at the point P. The
area of the triangles APD and BPC are 27 and 12 respectively. If the areas of
the triangles APB and CPD are equal then the area of triangle APB is   

(A) 21              (B) 18               (C) 16               (D) 15              (E) 12

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Answers

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