Answeres to 25 tough GMAT Quants (Maths ) question

Answers to the 25 tough GMAT Quants question.

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Answers:-
1. n = 79
2. E
3. 3
4. 35
5. D
6. A
7. B
8. E
9. D
10. A
11. B
12. B
13. C
14. B
15. 2/5
16. C
17. 33.5K
18. 40320, 5040, 6!*3!, 8!- 6!3!, 4X720
19. B
20. A
21. E
22. C
23. E
24. A
25. C

25 tough GMAT Quants question - Free GMAT Test

Following are some of the tough Quants and this set includes very good questions on probability, permutation and combination. Feel free to contact us if you find any doubt in this GMAT tough Quants question set

1. The sum of the even numbers between 1 and n is 79*80, where n is an odd number, then n=?

2. The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $5.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?(A) $4.50
(B) $5.10
(C) $5.30
(D) $5.50
(E) $5.60

3. How many randomly assembled people does u need to have a better than 50% prob. that at least 1 of them was born in a leap year?

4. In a basketball contest, players must make 10 free throws. Assuming a player has 90% chance of making each of his shots, how likely is it that he will make all of his first 10 shots?

5. AB + CD = AAA, where AB and CD are two-digit numbers and AAA is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?(A) 1(B) 3(C) 7(D) 9(E) Cannot be determined

6. A and B ran a race of 480 m. In the first heat, A gives B a head start of 48 m and beats him by 1/10th of a minute. In the second heat, A gives B a head start of 144 m and is beaten by 1/30th of a minute. What is B’s speed in m/s?
(A) 12
(B) 14
(C) 16
(D) 18
(E) 20

7. A certain quantity of 40% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?
(A) 1/4
(B) 1/3
(C) 1/2
(D) 2/3
(E) ¾

8. A person buys a share for $ 50 and sells it for $ 52 after a year. What is the total profit made by him from the share?
(I) A company pays annual dividend
(II) The rate of dividend is 25%

(A) Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient
(B) Statement (II) ALONE is sufficient, but statement (I) is not sufficient
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
(D) Each statement ALONE is sufficient
(E) Statements (I) and (II) TOGETHER are NOT sufficient

9. A bag contains 3 red, 4 black and 2 white balls. What is the probability of drawing a red and a white ball in two successive draws, each ball being put back after it is drawn?
(A) 2/27
(B) 1/9
(C) 1/3
(D) 4/27
(E) 2/9

10. What is the least possible distance between a point on the circle x^2 + y^2 = 1 and a point on the line y = 3/4*x - 3?A) 1.4
B) sqrt (2)
C) 1.7
D) sqrt (3)
E) 2.0

11. In the square above, 12w = 3x = 4y. What fractional part of the square is shaded?
A) 2/3B) 14/25C) 5/9D) 11/25E) 3/7

12. The average of temperatures at noontime from Monday to Friday is 50; the lowest one is 45, what is the possible maximum range of the temperatures?
a) 20
b) 25
c) 40
d) 45
e) 75

13. If n is an integer from 1 to 96, what is the probability for n*(n+1)*(n+2) being divisible by 8?A) 25%
B) 50%
C) 62.5%
D) 72.5%
E) 75%


14. krut , a painter, has 9 jars of paint:
4 are yellow
2 are red
rest are brown
Kurt will combine 3 jars of paint into a new container to make a new color, which he will name accordingly to the following conditions:Brun Y if the paint contains 2 jars of brown paint and no yellow
Brun X if the paint contains 3 jars of brown paint
Jaune X if the paint contains at least 2 jars of yellow
Jaune Y if the paint contains exactly 1 jar of yellow
What is the probability that the new color will be Jaunea) 5/42
b) 37/42
c) 1/21
d) 4/9
e) 5/9

15. TWO couples and a single person are to be seated on 5 chairs such that no couple is seated next to each other. What is the probability of the above?16. An express train traveled at an average speed of 100 kilometers per hour, stopping for 3 minutes after every 75 kilometers. A local train traveled at an average speed of 50 kilometers, stopping for 1 minute after every 25 kilometers. If the trains began traveling at the same time, how many kilometers did the local train travel in the time it took the express train to travel 600 kilometers?a. 300
b. 305
c. 307.5
d. 1200
e. 1236

17. An express train traveled at an average speed of 100 kilometers per hour, stopping for 3 minutes after every 75 kilometers. A local train traveled at an average speed of 50 kilometers, stopping for 1 minute after every 25 kilometers. If the trains began traveling at the same time, how many kilometers did the local train travel in the time it took the express train to travel 600 kilometers?a. 300
b. 305
c. 307.5
d. 1200
e. 1236

18. On how many ways can the letters of the word "COMPUTER" be arranged?
a) Without any restrictions.
b) M must always occur at the third place.
c) All the vowels are together.
d) All the vowels are never together.
e) Vowels occupy the even positions.

19. In the infinite sequence A, ,where x is a positive integer constant. For what value of n is the ratio of to equal to ?(A) 8
(B) 7
(C) 6
(D) 5
(E) 4

20. In how many ways can one choose 6 cards from a normal deck of cards so as to have all suits present?
a. (13^4) x 48 x 47
b. (13^4) x 27 x 47
c. 48C6
d. 13^4
e. (13^4) x 48C6

21. Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
A) 3
B) 4
C) 5
D) 6
E) 7

22. Two missiles are launched simultaneously. Missile 1 launches at a speed of x miles per hour, increasing its speed by a factor of every 10 minutes (so that after 10 minutes its speed is , after 20 minutes its speed is , and so forth. Missile 2 launches at a speed of y miles per hour, doubling its speed every 10 minutes. After 1 hour, is the speed of Missile 1 greater than that of Missile 2?1) 2)(A) Statement (1) ALONE is sufficient to answer the question, but statement (2) alone is not.
(B) Statement (2) ALONE is sufficient to answer the question, but statement (1) alone is not.
(C) Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient to answer the question.
(E) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question.
23. . If ((13!)^16 - (13!)^8)/ ((13!)^8 + (13!)^4) = a, what is the unit’s digit of a/ ((13!)^4)?(A) 0
(B) 1
(C) 3
(D) 5
(E) 9

24. The dimensions of a rectangular floor are 16 feet by 20 feet. When a rectangular rug is placed on the floor, a strip of floor 3 feet wide is exposed on all sides. What are the dimensions of the rug, in feet?(A) 10 by 14 (B) 10 by 17 (C) 13 by 14 (D) 13 by 17 (E) 14 by 16
25. How many different subsets of the set {10,14,17,24} are there that contain an odd number of elements?(a) 3 (b) 6 (c) 8 (d) 10 (e) 12

GMAT Test Score pattern

This table will help in cases where you are not practicing online GMAT tests. I used this to evaluate my performance in paper-pen free GMAT sample tests papers. It is not totally accurate but gives you an idea where you stand.

GMAT Test Score Pattern
Verbal Subscore 
Quantitative Subscore 
GMAT Score
Correct
Subscore
Correct
Subscore
Correct
Score
41
60
37
60
78
800
40
60
36
60
77
800
39
58
35
58
76
800
38
56
34
56
75
790
37 
54 
33 
54 
74 
780
36
52
32 
52 
73
770
35
50 
31
50 
72 
760
34 
48 
30 
48 
71
750
33 
46
29 
46 
70 
740
32
44
28
44
69
730
31
42
27
42
68
720
30
40
26
40
67
710
29
38
25
38
66
700
28 
36
24
36
65
690
27
34
23
34
64
680
26
32
22
32
63
670
25 
30 
21 
30
62 
660
24 
28
20
28
61
650
23 
26 
19
26
60
640
22 
24
18
24
59
630
21 
22
17 
22
58 
620
20 
20 
16 
20
57
610
19
18 
15 
18
56
600
18 
16
14 
16 
55
590
17 
14 
13
14
54
580
16 
12 
12
12
53
570
15 
10 
11
10
52
560
14 
8 
10
8 
51
550
13 
6 
9 
6 
50
540
12 
4 
8 
4 
49 
530
11 
2 
7 
2 
48 
520
10
0 
6 
0 
47 
510
9 
0 
5 
0 
46 
500
8 
0 
4 
0 
45 
490
7 
0 
3 
0 
44 
480
6 
0 
2 
0 
43 
470
5 
0 
1 
0 
42 
460
4 
0 
0 
0 
41 
450
3 
0 
0 
0
40 
440
2 
0 
0 
0
39 
430
1 
0 
0 
0
38 
420
0 
0 
0 
0
37 
410
0 
0 
0 
0
36 
400
0 
0 
0 
0
35 
390

How to use this table ?

Say if you get 30 correct in GMAT Verbal and 22 correct in GMAT Quantitative, then your subscore would be 40 in Verbal and 32 in Maths. Your total would be 72 and you will end up scoring somewhere close to 750. This also shows that the weightage of Verbal in GMAT is little bit more that Quantitative. Even I also observed this during the free GMAT practice test.