Practice Test

Q1) If x = -0.5, then which of the following has the smallest value ? Show Answer

Q2) The length, breadth and height of a room are int he ratio 3 : 2 : 1. If the breadth and height are halved while the length is doubled, then the total area of the four walls of the room will. Show Answer

Q3) A group of 360 children is arranged in rows for a group photograph session. Each row contains three fewer children than the row in front of it. What number of rows in not possible ? Show Answer

Q4) A survey was conducted of 100 people to find out whether they had read recent issues of Golmal, a monthly magazine. The summarized information regarding readership in 3 months is given below:
Only September: 18; September but not August: 23; September and July: 8; September: 28;
July:48; July and August: 10; None of the three months: 24.
What is the number of surveyed people who have read exactly two consecutive issues (out of the three) ? Show Answer

Q5) The sum of four consecutive two digit odd numbers, when divided by 10, becomes a perfect square. Which of the following can possibly be one of these four numbers ? Show Answer

Q6) Consider the set s = {1, 2, 3, ...., 1000}. How many arithmetic progressions can be formed from the elements of S that start with 1 and end with 1000 and have at least 3 elements ? Show Answer

Q7) The proportion of the sheet area that remains after punching is : Show Answer

Q8) Find the area of the part of the circle (round punch) falling outside the square sheet. Show Answer

Q9) Let f (x) = max (2x + 1, 3 - 4x), where x is any real number. Then the minimum possible value of (x) is : Show Answer

Q10) What is the weight of Praja's luggage ? Show Answer

Q11) What is the free luggage allowance ? Show Answer

Q12) Arun, Barun and Kiranmala start from the same place and travel in the same direction at speeds of 30 km/hr, 40 km/hr and 60 km/hr respectively. Barun starts two hours after Arun. If Barun and Kiranmala overtake Arun at the same instant, how many hours after Arun did Kiranmala start ? Show Answer

Q13) When you reverse the digits of the number 13, the number increases by 18. How many other two digit numbers increase by 18 when their digits are reversed ? Show Answer

Q14) A semicircle is drawn with AB as its diameter. From C, A point on AB, a line perpendicular to Ab is drawn meeting the circumference of the semicircle at D.
Given that AC = 2 cm and CD = 6 cm, the area of the semicircle (in sq. cm.) will be : Show Answer

Q15) There are 6 takes and 6 persons. Task 1 cannot be assigned either to person 1 or to person 2; task 2 must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done ? Show Answer

Q16) The number of employees in Obelix Menhir Co. Is a prime number and is less than 300. The ratio of the number of employees who are graduates and above, to that of employees who are not, can possibly be : Show Answer

Q17) An equilateral triangle BPC is drawn inside a square ABCD. What is the value of the angle APD in degrees ? Show Answer