GMAT : Graduate Management Admission Test: Analytical Writing Assessment (AWA), Quantitative section, Verbal section 2024 Exam

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GMAT
Graduate Management Admission Test: Analytical Writing
Assessment (AWA), Quantitative section, Verbal section
2023
https://killexams.com/pass4sure/exam-detail/GMAT
Question: 1491
For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of [6.5] x
[2/3] + [2] x 7.2 + [8.4] 6.6?
A. 12.6.
B. 14.4.
C. 15.8.
D. 16.2.
E. 16.4.
Answer: C
Explanation:
[6.5] x [2/3] + [2] x 7.2 + [8.4] 6.6 = 6 x 0 + 2 x 7.2 + 8 – 6.6 = 15.8
Question: 1492
What is the decimal equivalent of ( )2
A. 0.0032
B. 0.032
C. 0.00625
D. 0.003125
E. 0.0016
Answer: E
Explanation:
( )4 = ( )4 = = 16 x 10-4 = 0.0016
Question: 1493
How many four-digit numbers that do not contain the digits 3 or 6 are there?
A. 2401
B. 3584
C. 4096
D. 5040
E. 7200
Answer: B
Explanation:
The first digit has 7 possibilities (10 0, 3 and 6). The other three digits have 8 possibilities each.
7*8*8*8= 3584. The correct answer is B.
Question: 1494
The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the
company chose a special sign language containing 124 different signs. If the company used 122 of the signs fully and
two remained unused, how many additional area codes can be created if the company uses all 124 signs?
A. 246
B. 248
C. 492
D. 15,128
E. 30,256
Answer: C
Explanation:
The phone company already created 122*122 area codes, now it can create 124*124. 1242-1222= (124+122) (124-
122) = 246*2 = 492 additional codes.
Question: 1495
The average (arithmetic mean) of seven numbers is 12.2. If the sum of four of these numbers is 42.8, what is the
average of the other 3 numbers?
A. 12.4
B. 14.2
C. 16.8
D. 18.6
E. 19.2
Answer: B
Explanation:
This is an average problem, so use the average formula. If the average of 7 numbers is 12.2, we can solve for their
sum: 7 × 12.2 = 85.4. If four of these numbers total 42.8, then by subtracting 42.8 from 85.4, we get the sum of the
other three numbers, 42.6. To find the average of these three numbers, we divide their sum by their number: 42.6/3 =
14.2.
Question: 1496
A is a prime number (A>2). If C = A3, by how many different integers can C be equally divided?
A. 3.
B. 4.
C. 5.
D. 6
E. 7
Answer: B
Explanation:
Factorize C: C = A x A x A: C can be equally divided into 1, A, A2, and A3 =C is 4 numbers total. The correct answer
is B.
Question: 1497
If X is a positive integer and (405) 4 is a multiple of 3X, what is the largest possible value of X?
A. 5.
B. 12.
C. 16.
D. 20
E. 26.
Answer: C
Explanation:
Find the factors of (405) 4 and see what the largest value of X can be. 405 = 81 x 5 = 9 x 9 x 5 = 3 x 3 x 3 x 3 x 5 –
(405) 4 = (3 x 3 x 3 x 3 x 5) 4 = 316 x 54. The largest possible value of 3X that is still a factor of (405) 4 is the largest
possible value of X and that is 316. X = 16. The correct answer is C.
Question: 1498
N is a prime number bigger than 5. Which of the following expressions must be even?
A. (N+2)2.
B. N2+2.
C. N (N+2).
D. (N+1) (N+2).
E. (N 2)2.
Answer: D
Explanation:
Answer D is a multiplication of two consecutive numbers, therefore one of them must be even, and an even number
multiplied by a different number is an even number.
Question: 1499
On a map, 1 inch represents 28 miles. How many inches would be necessary to represent a distance of 383.6 miles?
A. 5.2
B. 7.4
C. 13.7
D. 21.2
E. 28.7
Answer: C
Explanation:
This is a proportion problem. Dividing the requested amount of miles by the reference amount would give us the
answer in inches. 383.6 / 28 = 13.7 inches.
Question: 1500
15 Java programmers, working in a constant pace, finish a web page in 3 days. If after one day, 9 programmers quit,
how many more days are needed to finish the remainder of the job?
A. 5.
B. 2.
C. 8.
D. 4.
E. 6.
Answer: A
Explanation:
The total working days for finishing a web page are (15 x 3) 45. If after one day 9 programmers quit, only 15 working
days are done and the rest of the programmers (6) Need to finish (45 15) 30 days of work. It will take them 5 more
days.
Question: 1501
Tim and Élan are 90 miles away from one another. They are starting to move towards each other simultaneously, Tim
at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they multiply their speeds, what is the distance that
Tim will pass until he meets Élan?
A. 30 miles.
B. 35 miles.
C. 45 miles.
D. 60 miles
E. 65 miles
Answer: D
Explanation:
Tim is traveling at twice the speed of Élan, and so will be after they multiply their speeds. In other words, their speeds
will always be at a 2:1 ratio no matter what and therefore the ratio between the roads that they’ll pass will also be 2:1
or 60 miles to 30 miles. Tim will go through 60 miles.
Question: 1502
An investment yields an interest payment of $228 each month. If the simple annual interest rate is 9%, what is the
amount of the investment?
A. $28,300
B. $30,400
C. $31,300
D. $32,500
E. $35,100
Answer: B
Explanation:
Principal × percent interest × time = interest earned
Principle × (0.09) × 1/12 = $228.
Solve to find the principal (228 × 12)/0.09= $30,400.
The correct answer is B.
Question: 1503
In a psychology school the grade of the students is determined by the following method: At the end of the first year the
grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus
half of his grade from the previous year. If Joey’s grade at the end of the first year is 40, what will be his grade at the
end of the third year?
A. 44.
B. 56.
C. 62.
D. 75.
E. 80.
Answer: D
Explanation:
From the grade 40 at the end of the first year we learn that his age is 20. At the end of the second year, he will be 21
and his grade will be (21 x 2 + ½ x 40 = 62).
At the end of the third year, he will be 22 and his grade will be (22 x 2 + ½ x 62 = 75). The correct answer is D.
Question: 1504
Roy is now 4 years older than Erik and half of that amount older than Iris. If in 2 years, Roy will be twice as old as
Erik, then in 2 years what would be Roy’s age multiplied by Iris’s age?
A. 8
B. 28
C. 48
D. 50
E. 52
Answer: C
Explanation:
Translate piece by piece into numbers. R (Roy) = Erik E. + 4. The second equation: R = I (Iris) + 2. The third
equation: R +7 = 2(E + 7). We have three equations with three variables. Roy is 6, Iris is 4 and Erik is 2. In four years
Erik would be 6 and Iris 8, the answer is 48. The correct answer is C.

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