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GMAT Quantitative mock test 3(15 questions time-17minutes)

1.
What is the length of a running train ?

I. The train crosses a man in 9 seconds.
II. Train crosses a 240 meter long platform in 24 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 the statements I and II are together neccessary to answer the question
2.
What is the area of the circle ?

I. An arc of length 4 cm subtends an angle of 60" at the centre.
ll. A chord of length 5 cm substeds an angle of 90 at the centre.


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 is the area of the circle ?

I. The circumference of the circle is 308 m.
ll. The radius of the circle is 28 m.


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.
The area of a rectangle is equal to the area of a circle. What is the length of the rectangle?
I. The radius of the circle is equal to the breadth of the rectangle.
II. The perimeter of the rectangle is 14 cm more than that of the circle.


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
5.
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
6.
What is the two-digit number ?

I. Sum of the digits is 7.
II. Difference between the number and the number obtained by interchanging its digits is 9.
III. Digit in the tens place is bigger than the digit in the units place by 1.


I and II only
II and III only
All I II and III
None of these
7.
What is the sum of the digits of the two-digit number ?

I. The ratio between the tens digit and unit digit of the number is 3 : 2.
II. The number obtained on reversing the order of its digits is 18 less than the original number.
III. The product of the digits is 24.
which of the following statement is necessary to answer the given question


Any two of the three statements.
I only or II and III only
All I, II and III
I and II only
8.
What will be the sum of two numbers ?

I. Among the two numbers, the bigger number is greater than the smaller number by 6.
II. 40% of the smaller number is equal to 30% of the bigger number.
III. The ratio between half of the bigger number and one-third of the smaller number is 2 : 1.


I and II only
II and III only
Any two of the three
None of these
9.
The number which exceeds 16% of it by 42 is :


50
52
58
60
10.
A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red is:


$ \frac{1}{22}$
$ \frac{3}{22}$
$ \frac{2}{91}$
$ \frac{2}{77}$
11.
In a 300 in race A beats by 22.5 m or 6 seconds. Bs time over the course is :


86 sec
80 sec
76 sec
none of these
12.
85 kg of a mixture contains milk and water in the ratio 27 : 7. How much more water is to be added to get a new mixture containing milk and water in the ratio 3 : 1 ?

5 kg
6.5 kg
7.25 kg
8 kg
13.
A man walking at the rate of5 kin/hr misses a bridgein 15 minutes. The length of the bridge (in metres) is


600
750
1000
1250
14.
What is the speed of the train ?

l. 280 metres long train crosses a signal pole in 18 seconds.
II. 280 metres long train crosses a platform in 45 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.
What was the speed of a running train X ?

I. The relative speed of train X and another train Y running in opposite direction is 160 kmph.
II. The train Y crosses a signal post in 9 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.
16.
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