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GATE Exercise Test-I
1.A student is required to demonstrate a high level of comprehension of the subject, especially in the social sciences. The word closest in meaning to comprehension is
2.Choose the most appropriate word from the options given below to complete the following sentence. One of his biggest _______ was his ability to forgive.
19.A house has a number which needs to be identified. The following three statements are given that can help in identifying the house number.i. If the house number is a multiple of 3, then it is a number from 50 to 59.ii. If the house number is NOT a multiple of 4, then it is a number from 60 to 69.iii. If the house number is NOT a multiple of 6, then it is a number from 70 to 79.What is the house number?
20.An unbiased coin is tossed six times in a row and four different such trials are conducted.One trial implies six tosses of the coin. If H stands for head and T stands for tail, thefollowing are the observations from the four trials:(1) HTHTHT (2) TTHHHT (3) HTTHHT (4) HHHT__ __.Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?
Two T will occur.
One H and one T will occur
Two H will occur
One H will be followed by one T.
21.The area of a square is d. What is the area of the circle which has the diagonal of thesquare as its diameter?
22.What would be the smallest natural number which when divided either by 20 or by 42 or by 76 leaves a remainder of 7 in each case?
23.What is the missing number in the following sequence?2, 12, 60, 240, 720, 1440, _____, 0
24.“A _________ investigation can sometimes yield new facts, but typically organized ones are more successful.”The word that best fills the blank in the above sentence is
25.In appreciation of the social improvements completed in a town, a wealthy philanthropist decided to gift Rs 750 to each male senior citizen in the town and Rs 1000 to each female senior citizen. Altogether, there were 300 senior citizens eligible for this gift. However,only 8/9th of the eligible men and 2/3rd of the eligible women claimed the gift. How much money (in Rupees) did the philanthropist give away in total?
3.Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence.Apparent lifelessness _______ dormant life.
4.Five team have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to complete the league round of matches?
5.Select the appropriate option in plane of underlined part of the sentence.Increased productivity necessary reflects greater efforts made by the employees.
Increase in productivity necessary
Increase productivity is necessary
Increase in productivity necessarily
No improvement required
6.A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?
X and Y are not independent
Y and Z are dependent
Y and Z are independent
X and Z are independent
7.Rajan was not happy that Sajan decided to do the project on his own. On observing his unhappiness, Sajan explained to Rajan that he preferred to work independently. Which one of the statements below is logically valid and can be inferred from the above sentences?
Rajan has decided to work only in a group.
Rajan and Sajan were formed into a group against their wishes.
Sajan had decided to give in to Rajan’s request to work with him.
Rajan had believed that Sajan and he would be working together.
8.Find the odd one in the following group: ALRVX, EPVZB, ITZDF, OYEIK
18.A six sided unbiased die with four green faces and two red faces is rolled seven times.Which of the following combinations is the most likely outcome of the experiment?
Three green faces and four red faces.
Four green faces and three red faces.
Five green faces and two red faces.
Six green faces and one red face.
9.One percent of the people of country X are taller than 6 ft. Two percent of the people of country Y are taller than 6 ft. There are thrice as many people in country X as in country Y . Taking both countries together, what is the percentage of people taller than 6 ft?
10.The Headmaster _______ to speak to you. Which of the following options is incorrect to complete the above sentence?
11.“The dress _________ her so well that they all immediately _________ her on herappearance.”The words that best fill the blanks in the above sentence are
12.“The judge’s standing in the legal community, though shaken by false allegations of wrong doing, remained _________.”The word that best fills the blank in the above sentence is
13.Find the missing group of letters in the following series:BC, FGH, LMNO, _____
14.The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?
The circle has the largest area.
The square has the largest area.
The equilateral triangle has the largest area.
All the three shapes have the same area.
15.Forty students watched films A, B and C over a week. Each student watched either onlyone film or all three. Thirteen students watched film A, sixteen students watched film Band nineteen students watched film C. How many students watched all three films?
16.A wire would enclose an area of 1936 m2, if it is bent into a square. The wire is cut intotwo pieces. The longer piece is thrice as long as the shorter piece. The long and the shortpieces are bent into a square and a circle, respectively. Which of the following choices isclosest to the sum of the areas enclosed by the two pieces in square meters?
17.A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day?
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