FREE NAT Quantitative and Analytical Ability Questions and Answers
An Internal Services Manager at a large corporation has been assigned the task of allotting offices to six of the staff members. The offices are titled A through F.
Mrs. Ruby needs to use the telephone quite often throughout the day. Mr. Mujahid and Mr. Zahid need adjacent offices as they need to consult each other while working. Mrs. Fauzia is a senior employee and has to be allotted the office marked E, having the biggest window.
Mr. Abid requires silence in the offices next to his. Mr. Shahid, Mr. Mujahid, and Mr. Abid are all smokers. Mr. Fauzia requires non-smoker neighbors.
Unless specifically stated all the employees maintain an atmosphere of silence during office hours.
The ideal candidate to occupy the office farthest from Mr. Zahid would be:
Explanation:
Mr. Abid will be the farthest person from Mr. Zahid. Since Mr. Abid requires silence in the offices next to his, it would make sense to place him as far away from Mr. Zahid as possible to minimize any potential disturbances from Mr. Zahid's consultations with Mr. Mujahid.
If x + 6 = 9, then 3x + 1 = _____?
Explanation:
You should first focus on 3x + 1 because this is what you are solving for. Solving for x leaves x = 3, and then substituting into 3x + 1 gives 3(3) + 1, or 10. The most common mistake is to solve for x, which is 3, and mistakenly choose A as your answer. But remember, you are solving for 3x + 1, not just x. You should also notice that most of the other choices would all be possible answers if you made common or simple mistakes. The correct answer is C.
Which of the following is equal to 1⁄5 of 0.02 percent?
Explanation:
Simplifying this problem first means changing 1⁄5 to .2. Next change 0.02 percent to 0.0002 (that is, .02 × .01 = 0.0002).
Now that you have simplified the problem, multiply .2 × 0.0002, which gives 0.00004.
In an in Vitro study, 160 white cats were injected with Salt X. 160 other white cats were injected with a placebo. In two weeks, 39% of the white cats, who were injected with Salt X showed symptoms of Kay fever. Hence it can be concluded that Kay fever is caused by some elements similar to the elements in Salt X.
Which of the following would most strengthen the argument above?
Explanation:
If some element of the salt X is found in the blood of the victims, then it is directly related to Kay fever. The best response is B.
Barney can mow the lawn in 5 hours, and Fred can mow the lawn in 4 hours. How long will it take them to mow the lawn together?
Explanation:
Suppose that you’re unfamiliar with the type of equation for this problem. Try the "reasonable" method. Because Fred can mow the lawn in 4 hours by himself, he will take less than 4 hours if Barney helps him. Therefore, choices A, B, and C are not sensible. Taking this method a little further, suppose that Barney could also mow the lawn in 4 hours. Therefore, together it would take Barney and Fred 2 hours. But, because Barney is a little slower than this, the total time should be more than 2 hours. The correct answer is D, 2 2⁄9 hours.
7, 11, 16, 22, 26, 31, ______?
Explanation:
The sequence follows the pattern of adding consecutive prime numbers.
7 + 4 = 11 (4 is the second prime number)
11 + 5 = 16 (5 is the third prime number)
16 + 6 = 22 (6 is the fourth prime number)
22 + 7 = 29 (7 is the fifth prime number)
29 + 8 = 37 (8 is the sixth prime number)
So, the next number in the sequence would be 37.
What is the greatest common factor of the numbers 18, 24, and 30?
Explanation:
The largest number that divides evenly into 18, 24, and 30 is 6. You could've worked from the answers, but here you should start with the largest answer choice because you’re looking for the greatest common factor. The correct answer is D.
7 9, 12, 14, 17, 19, 22, _____?
Explanation:
The sequence alternates between adding 2 and adding 3 to the previous number. Following this pattern, the next number after 22 would be 22 + 2 = 24.
36, 30, 24, 18, ____?
Explanation:
Each number is decreasing by 6, so the next number should be 12.
An Internal Services Manager at a large corporation has been assigned the task of allotting offices to six of the staff members. The offices are titled A through F.
Mrs. Ruby needs to use the telephone quite often throughout the day. Mr. Mujahid and Mr. Zahid need adjacent offices as they need to consult each other while working. Mrs. Fauzia is a senior employee and has to be allotted the office marked E, having the biggest window.
Mr. Abid requires silence in the offices next to his. Mr. Shahid, Mr. Mujahid, and Mr. Abid are all smokers. Mr. Fauzia requires non-smoker neighbors.
Unless specifically stated all the employees maintain an atmosphere of silence during office hours.
The ideal office for Mr. Mujahid would be:
Explanation:
The ideal office for Mr. Mujahid would be office C because Zahid and Mujahid stay next to each other. Moreover, Mujahid is a smoker and can't stay next to Miss Fauzia.
Which of the following numbers is between 1⁄3 and 1⁄4?
Explanation:
Focus on "between 1⁄3 and 1⁄4." If you know that 1⁄3 is .333 . . . and 1⁄4 is .25, you have insight into the problem and should simply work it forward. Since .29 is the only number between .333 . . . and .25, the correct answer is C.