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GMAT Quantitative mock test 4(15 questions time-17minutes)

1.
What was the length of a running train crossing another 180 metre long train running in the opposite direction ?

I. The relative speed of the two trains was 150 kmph
II. The trains took 9 seconds to cross each other


The data in the statement I is sufficient to answer the question, while the data in the statement II is not alone sufficient to answer the question.
The data in the statement II is sufficient to answer the question, while the data in the statement I is not alone sufficient to answer the question.
The data in either I or II is sufficient to answer the question.
The data in the statements I and II are together necessary to answer the question
2.
What is the height of the triangle ?

I. The area of the triangle is 20 times its base.
II. The perimeter of the triangle is equal to the perimeter of a square of side 10 cm.


The data in the statement I is sufficient to answer the question, while the data in the statement II is not alone sufficient to answer the question.
The data in the statement II is sufficient to answer the question, while the data in the statement I is not alone sufficient to answer the question.
The data in either I or II is sufficient to answer the question.
The data in both statements I and II are not sufficient to answer the question.
3.
What will be the cost of painting the inner walls of a room if the rate of painting is Rs. 20 per square foot ?

I. Circumference of the floor is 44 feet.
II. The height of the wall of the room is 12 feet.


The data in the statement I is sufficient to answer the question, while the data in the statement II is not alone sufficient to answer the question.
The data in the statement II is sufficient to answer the question, while the data in the statement I is not alone sufficient to answer the question.
The data in either I or II is sufficient to answer the question.
The data in both statements I and II are not sufficient to answer the question.
4.
What is the area of rectangular field ?

I. The perimeter of the field is 110 metres.
II. The length is 5 metres more than the width.
III. The ratio between length and width is 6 : 5 respectively.
which of the statements are necessary to answer the question?

I and II only
Any two of the three
All I, II and III
I, and either II or III only
5.
Twenty times a positive integer is less than its square by 96. What is the integer?

20
24
30
none of these
6.
What is the two-digit number ?

I. The difference between the two-digit number and the number formed by interchanging the digits is 27.
II. The difference between the two digits is 3.
III. The digit at unit place is less than that at tens place by 3.
which of the statements are necessary to answer the question.


I and II only
l and III only
All I, II and III
I, and either II or III
7.
Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is:

4
5
6
10
8.
The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root?

8
27
32
none of these
9.
What percentage of numbers from 1 to 70 have squares that end in the digit 1 ?

1
14
20
21
10.
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue ?

$ \frac{10}{21}$
$ \frac{11}{21}$
$ \frac{2}{7}$
$ \frac{5}{7}$
11.
A can run 22.5 m while B runs 25 m. In a kilometer race B beats A by :

$100 m$
$ 111 \frac{1}{9}$
$25 m$
$50 m$
12.
The ages of A and B are in the ratio 3 : 1. Fifteen years hence, the ratio will be 2 : l. Their present ages are :

30 years, 10 years
45 years, 15 years
21 years, 7 years
60 years, 20 years
13.
How long will a boy take to run round a square field of side 35 metres, if he runs at the rate of 9 km/hr ?

50 sec
52 sec
54 sec
56 sec
14.
A train crosses another train running in the opposite direction in x seconds. What is the speed of the train ?

I. Both the trains have the same length and are running at the same speed.
II. One train crosses a pole in 5 seconds.

The data in the statement I is sufficient to answer the question, while the data in the statement II is not alone sufficient to answer the question.
The data in the statement II is sufficient to answer the question, while the data in the statement I is not alone sufficient to answer the question.
The data in either I or II is sufficient to answer the question.
The data in both statements I and II are not sufficient to answer the question.
15.
A train crosses a pole in 10 seconds. What is the length of the train ?

l. The train crosses another train running in opposite direction with a speed of 80 km/hr in 22 seconds.
II. The speed of the train is 108 km/hr.

The data in the statement I is sufficient to answer the question, while the data in the statement II is not alone sufficient to answer the question.
The data in the statement II is sufficient to answer the question, while the data in the statement I is not alone sufficient to answer the question.
The data in either I or II is sufficient to answer the question.
The data in the statements I and II are together neccessary to answer the question
16.
What is the speed of the train whose length is 210 meters ?

I. The train crosses another train of 300 meters length waning in opposite direction in 10 seconds.
II. The train crosses another train running in the same direction at the speed of 60 km/ hr in 30 seconds.

The data in the statement I is sufficient to answer the question, while the data in the statement II is not alone sufficient to answer the question.
The data in the statement II is sufficient to answer the question, while the data in the statement I is not alone sufficient to answer the question.
he data in either I or II is sufficient to answer the question.
The data in the statements I and II are together neccessary to answer the question