1.
There are 9 coins. 8 are of 1 gm and 1 is of 2 grams. How will you find out the heavier coin in minimum number of weighing and how many weighing it will need?
Correct Answer
C. 4
Explanation
To find the heavier coin in a minimum number of weighings:
Divide the coins into three groups of three:
Weigh two of the groups against each other. If one group is heavier, the heavier coin is in that group. If they balance, the heavier coin is in the third group.
With the heavier group of three coins:
Take any two coins from this group and weigh them against each other. If one is heavier, it's the heavier coin. If they balance, the heavier coin is the one left out.
So, it will require a total of 2 weighings to find the heavier coin.
The correct answer is 4.
2.
In a tournament there are 20 flag poles equidistant from each other. each runner starts from the first flag. In 24 sec the runner reaches the 12th flag. How much it will take him to complete the 20th flag.
Correct Answer
B. (24/11)*19
Explanation
The runner reaches the 12th flag in 24 seconds, which means he covers 11 flag poles in 24 seconds. Therefore, the time taken to cover one flag pole is 24/11 seconds. To calculate the time taken to complete the 20th flag, we multiply the time taken for one flag pole by 19 (since he has already covered 11 flag poles). Thus, the correct answer is (24/11)*19.
3.
At 6'o clock a clock rings 6 times. The time between first and last rings was 30sec. How much time does it take at 12'o clock?
Correct Answer
E. 330 sec
Explanation
The clock rings once at the start of the hour (12 times in total), and then it rings an additional 11 times between 1 o'clock and 12 o'clock. The time between each ring is 30 seconds. So, the total time for the 11 additional rings is 11×30 seconds, which equals 330 seconds or 5 minutes and 30 seconds.
Therefore, the time it takes for the clock to ring 12 times from 1 o'clock to 12 o'clock is 5 minutes and 30 seconds. The correct answer is not provided in the options, but it's between 5 and 6 minutes.
4.
The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:
Correct Answer
D. 2520 m2
Explanation
We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.
Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) m2 = 2520 m2.
5.
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
Correct Answer
C. Rs. 2000
Explanation
Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.
Then, 4x - 3x = 1000
x = 1000.
B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.
6.
The Dewey Decimal System, currently used in libraries throughout the world, _____ all written works into ten classes according to subject.
Correct Answer
B. Divides
Explanation
You should notice the two commas in the middle of the sentence, meaning extra information. This helps you see there is no verb in the sentence. Option "A" is eliminated because we have no "BE" form in the sentence. Option "C" is eliminated because it already has a subject. Option "D" is eliminated since it has passive form. Leaving only option "B" as the correct option.
7.
Individual differences in brain-wave activity may shed light on why some people are more prone to emotional stress disorders ______.
Correct Answer
D. Than others are
Explanation
The blank is at the end and the sentence looks complete, so you start by identifying parts. Verb, subject and phrases. You should notice the word "MORE" which is used for comparisons. Option "A" is eliminated because it has a connector. Option "C" is eliminated because it is only a subject-verb. Option "B" is eliminated because "and" doesnÂ´t complete the comparison with "more". Leaving opton "D" as the correct option.
8.
Since an immediate change was needed on an emergency basis, _____ by the governor to curtail railway expenditure.
Correct Answer
D. It was proposed
Explanation
The sentence starts with the connector "SINCE" and the blank is after the comma. This means you need a subject, verb or both. Options "A" and "C" are eliminated because they also have connectors. Options "B" is eliminated because it has no subject. Leaving option "D" as the correct option.
9.
Since fishing fleets might not have been so inefficient in limiting their catch to target species _____ more strict in enforcing penalties.
Correct Answer
C. Had the government been
Explanation
The meaning to this sentence might no be too accessible to everyone, so you break it up into segments and look for syntax sequence. It starts with the connector "SINCE", the verb is "HAVE NOT BEEN". You should identify that after the blank there is no verb. On that premise you eliminate option "D". You can also eliminate option "B" because it only has "HAD" and you need a "BE" form to complement the first verb. After this, you should remember your TOEFL skills on subject / verb inversion for this kind of sentence. Option "A" is eliminated. Leaving option "C" as the correct option.
10.
_____ that Emily Dickinson wrote, 24 were given titles and 7 were published during her lifetime.
Correct Answer
A. Of the 1,800 poems
Explanation
You first identify the "BE" in past form. There are two "were" connected by "and". Now you know you need to complete the subject, which also includes the connector "THAT". Option "C" is eliminated because is implies cause. Options "B" and "C" are similar in that they only signal the existence of the poems. They provide good meaning, but it is option "A" which encompasses a much more complete meaning with the use of "OF".
11.
_______ variety of flowers in the show, from simple carnation to the most exquisite roses.
Correct Answer
B. There was a wide
Explanation
First, should notice there is no verb in the sentence, which then eliminates option "A" and "D". Furthermore, option "C" is a question format, and you are asked to complete a sentence, leaving, then, only option "B" as the correct option.
12.
The wedges _____ dart board are worth from one to twenty points each.
Correct Answer
D. On a
Explanation
You first want to identify the "BE" verb, which is in "are" presentation. This is the sentence center. From here, it is easy to notice the blank is in the subject. Options "A", "B" and "C" are eliminated because of the "are", leaving only option "D" as the correct option.
13.
_____ squeezed, the orange juice in a one-cup serving provides twice the minimum daily requirement for vitamin C.
Correct Answer
B. If freshly
Explanation
Noticing the comma is important here. After the comma you have a complete sentence, which means you need some sort of connector in the first part. Option "A" and "C" are eliminated because they have no connector. Option "D" is eliminated because has no "BE" verb for the adjective "squeezed". Leaving only option "B" as the correct option.
14.
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Correct Answer
A. 4 years
Explanation
Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
5x = 20
x = 4.
Age of the youngest child = x = 4 years.
15.
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
Correct Answer
D. 9/20
Explanation
Here, S = {1, 2, 3, 4, ...., 19, 20}.
Let E = event of getting a multiple of 3 or 5 = {3, 6 , 9, 12, 15, 18, 5, 10, 20}.
P(E) = [n(E)/n(S)] = 9/20
16.
If 3^{(x - y)} = 27 and 3^{(x + y)} = 243, then x is equal to:?
Correct Answer
C. 4
Explanation
3x - y = 27 = 33 x - y = 3 ....(i)
3x + y = 243 = 35 x + y = 5 ....(ii)
On solving (i) and (ii), we get x = 4.
17.
Write a brief essay describing what qulities you will bring that will make make you the best fit for this position?