XAT Quant Actual Questions

Q. Amit has forgotten his 4-digit locker key. He remembers that all the digits are positive integers and are different from each other. Moreover, the fourth digit is the smallest a…

Q. The problem below consists of a question and two statements numbered 1 & 2. You have to decide whether the data provided in the statements are sufficient to answer the question.…

Q. Rajnish bought an item at 25% discount on the printed price. He sold it at 10% discount on the printed price. What is his profit in percentage? 10 15 17.5 20 None of the above E…

Q. Given A=|x+3|+|x−2|−|2x−8| . The maximum value of |A| is: 111 9 6 3 ∞ EXPLANATION From the 5 cases above, we observe that the value of A ranges from -9 to 9. So, the maximum val…

Q. ABC is a triangle with BC=5.D is the foot of the perpendicular from A on BC . E is a point on CD such that BE=3 . The value of AB 2 −AE 2 +6CD is: 5 10 14 18 21 EXPLANATION

Q. Jose borrowed some money from his friend at simple interest rate of 10% and invested the entire amount in stocks. At the end of the first year, he repaid 1/5th of the principal …

Q. The Guava club has won 40% of their football matches in the Apple Cup that they have played so far. If they play another n matches and win all of them, their winning percentage …

EXPLANATION

Q. ABC is a triangle and the coordinates of A, B and C are (a, b-2c), (a, b+4c) and (-2a,3c) respectively where a, b and c are positive numbers. The area of the triangle ABC is: 6a…

Q. A painter draws 64 equal squares of 1 square inch on a square canvas measuring 64 square inches. She chooses two squares (1 square inch each) randomly and then paints them. What…

Q. A non-flying ant wants to travel from the bottom corner to the diagonally opposite top corner of a cubical room. The side of the room is 2 meters. What will be the minimum dista…

Q. Suppose Haruka has a special key Δ in her calculator called delta key: Rule 1: If the display shows a one-digit number, pressing delta key Δ replaces the displayed number with t…

Q. A small jar contained water, lime and sugar in the ratio of 90:7:3. A glass contained only water and sugar in it. Contents of both (small jar and glass) were mixed in a bigger j…

Q1. The addition of 7 distinct positive integers is 1740. What is the largest possible “greatest common divisor” of these 7 distinct positive integers? 42 60 74 140 None of the abo…

Q. ABCD is a trapezoid where BC is parallel to AD and perpendicular to AB . Kindly note that BC<AD . P is a point on AD such that CPD is an equilateral triangle. Q is a point on BC…

Q1. EXPLANATION Q2. Separately, Jack and Sristi invested the same amount of money in a stock market. Jack’s invested amount kept getting reduced by 50% every month. Sristi’s invest…

Q1. Raju and Sarita play a number game. First, each one of them chooses a positive integer independently. Separately, they both multiply their chosen integers by 2, and then subtra…

Q1-3. Go through the information given below, and answer the THREE questions that follow. The three graphs below capture relationship between economic (and social) activities and s…

Q1. Some members of a social service organization in Kolkata decide to prepare 2400 laddoos to gift to children in various orphanages and slums in the city, during Durga puja. The …

Q1. Ramesh and Reena are playing with triangle ABC. Ramesh draws a line that bisects ∠BAC ; this line cuts BC at D. Reena then extends AD to a point P. In response, Ramesh joins B …

Q. Sheela purchases two varieties of apples - A and B - for a total of Rupees 2800. The weights in kg of A and B purchased by Sheela are in the ratio 5 : 8 but the cost per kg of A…

Q. A marble is dropped from a height of 3 metres onto the ground. After the hitting the ground, it bounces and reaches 80% of the height from which it was dropped. This repeats mul…

Q. The sum of the cubes of two numbers is 128, while the sum of the reciprocals of their cubes is 2. What is the product of the squares of the numbers? A 64 B 256 C 16 D 48 E 32 EX…

Q. Nadeem’s age is a two-digit number X, squaring which yields a three-digit number, whose last digit is Y. Consider the statements below: Statement I: Y is a prime number Statemen…

Q. A tall tower has its base at point K. Three points A, B and C are located at distances of 4 metres, 8 metres and 16 metres respectively from K. The angles of elevation of the to…

Q1-3. Instructions : Read the following scenario and answer the THREE questions that follow. The enrolment of students (in 1000s) at each of the five universities named — MPU, JSU,…

Q. Shireen draws a circle in her courtyard. She then measures the circle’s circumference and its diameter with her measuring tape and records them as two integers, A and B respecti…

Wilma, Xavier, Yaska and Zakir are four young friends, who have a passion for integers. One day, each of them selects one integer and writes it on a wall. The writing on the wall s…

Q. If both the sequences x, a1, a2, y and x, b1, b2, z are in A.P. and it is given that y > x and z < x, then which of the following values can A 2 B 5 C -3 D 1 E 0 EXPLANATION C T…

Q. Kim’s wristwatch always shows the correct time, including ‘am’ and ‘pm’. Jim’s watch is identical to Kim’s watch in all aspects except its pace, which is slower than the pace of…

Q. Fatima found that the profit earned by the Bala dosa stall today is a three-digit number. She also noticed that the middle digit is half of the leftmost digit, while the rightmo…

Q. I have five 10-rupee notes, three 20-rupee notes, and two 50-rupee notes in my wallet. If three notes were taken out randomly and simultaneously, what is the probability that at…

Q1. A supplier receives orders from 5 different buyers. Each buyer places their order only on a Monday. The first buyer places the order after every 2 weeks, the second buyer, afte…