XAT Preparation Online Mcqs Mock Test

1. ABCD is a trapezium, such that AB, DC are parallel and BC is perpendicular to them. If ∟DAB =45°, BC= 2 cm and CD = 3 cm, then AB is equal to

2. If F is a differentiable function such that F(3) =6 and F (9)=2, then there must exist at least one number 'a' between 3 and 9, such that

3. A conical tent of given capacity has to be constructed. The ratio of the height to the radius of the base for the minimum amount of canvas required for the tent is?

4. If in a race L finishes second and K finishes fifth which of the following must be true?

Exactly seven persons J, K, L, M, N, O and P participate in and Finish all of a series of 1 km races. There are no ties for any position at the finish of any of the races.

Conditions:

(i)  P always finishes somewhere ahead of J

(ii)  J always finishes somewhere ahead of K

(iii) Either L finishes first and N finishes last or M finishes first and or K finishes last.

5. All intelligent people are nearsighted. I am very nearsighted. So I must be a genius.

Which one of the following exbits both of the logical flaws exhibited in the argument above?

6. A.  Many things may be read in Einstein's words but mysticism is certainly one thing that may be ruled out.

B.  He firmly believed that all events, including the actions of human beings followed a precise law of cause and effect.

C.  He detested any idea of indoctrination, but admitted that conventional religions had a role in setting ethical standards.

D.  An interesting question is whether Einstein's beliefs were pantheistic in the sense of actual worship of Nature, giving it the status of God.

E.  Einstein's theology may be called a naturalistic theology in which one searches for God by study of the Universe.

Unscramble unarranged parts so as to form a meaningful and logical sequence.

7. Person X, Y, Z and Q live in red, green, yellow or blue colored houses placed in a sequence on a street on a street. Z lives in a yellow house, the green house is adjacent to the blue house. X does not live adjacent to Z. The yellow house is in between the green and red houses. The color of the house X lives in is?

8. What is a price of tea?

(A)  Price of coffee is 5 more than tea

(B)  Price of coffee is 5 less than a soft drink which is 3 times tea.

Given question is followed by two data statement A and B for each question, see the sufficiency of the given data statements to answer it.

Then choose

9. If n is a positive integer, let S(n) denote the sum of the positive divisors of n, including n and G(n) is the greatest divisor of n. If H(n)= G(n)/S(n), then which of the following is the largest?

10. ...........of different categories of problems often leads to design of improper solutions that fail to address the complexities of the problem.

Choose the correct alternative that can go into the sentence in the blank pace to make a coherent sentence.

11. If Ramos is the lene American expert in population studies, which of the following is not true about the numbers of experts in the conference from the four continents?

Answer on the basis of the given below.

Twenty one participants from four continents (Africa, America, Australia and Europe) attended a united conference. Each participant was an expert in one of four fields labor, health population studies and refuge relocation. The following five facts about the participants are given.

(i)   The number of Labor Experts in the campuses exactly half the number of experts in each of the three other categories.

(ii)  Africa did not send any Labor Expert otherwise, every continent, including Africa, sent at least one expert for each category.

(iii)  None of the continents sent more than three experts in any category.

(iv)   If there had been one less Australia expert, then America would have had twice as, many experts as each of the other continents.

(v)  Mike and Alfano are leading experts of population studies who attended the conference they are from Australia.

12. If the Government imposes the 25% corporate profit tax, then what will be the profit maximizing output?

Read the following and answer.  The demand for a product (Q) is related to the price (P) of the products as follows Q= 100 - 2P

The cost (C) of manufacturing the product is related to the quantity produced in the following manner C=Q² - 16Q +2000.

As of now the corporate profit tax rate is zero. But the Government of India is thinking of imposing 25% tax on the profit the company.

13. If Kedarnath received Burfi. Which of the following must be false?

KC Das has five different kinds of sweets to give to children, Halwa, Burfi, Laddu, Kaala Jamun, Rasgulla. Jagindra, Kedarnath, Girish, Trilochan and Rameshwer went to see KC Das, who gave each one of them one type of sweet.

Kedar got either Burfi or Rasgulla.

Trilochan did not receive Laddu or Kaala Jamun.

Among the five children, exactly one received Laddu and one Burfi.

No other child received the same treat as Kadarnath.

Neither Jogindra nor Girish got Kaala Jamun.

At least one child received Kaala Jamun.

14. If in a race P finish fifth which of the following must be true?

Exactly seven persons J, K, L, M, N, O and P participate in and Finish all of a series of 1 km races. There are no ties for any position at the finish of any of the races.

Conditions:

(i)  P always finishes somewhere ahead of J

(ii)  J always finishes somewhere ahead of K

(iii) Either L finishes first and N finishes last or M finishes first and or K finishes last.

15. A.  The advances in technology have created ever-increasing trend of intellectual property theft.

B.  The back of clarity in anti-piracy laws ensures that the perpetrators of crime go scot-free.

C.  Stricter laws and reduced prices would go a long way in stemming intellectual property rights violations.

D.  DVD's and CD's are cheaply available in grey markets.

E.   It is high time such violations are curbed.

Unscramble unarranged parts so as to form a meaningful and logical sequence.