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## Number System: Level 2 Test -12

Congratulations - you have completed Number System: Level 2 Test -12.You scored %%SCORE%% out of %%TOTAL%%.You correct answer percentage: %%PERCENTAGE%% .Your performance has been rated as %%RATING%%
 Question 1
Philip, Tom and Brad start jogging around a circular field and complete a single round in 18, 22 and 30 seconds respectively. In how much time will they meet again at the starting point?
 A 8 minutes 15 seconds B 21 minutes C 16 minutes 30 seconds D 12 minutes
Question 1 Explanation:
They would meet after LCM(18,22,30)= 990 secs = 16 mins 30 secs.
Correct option is (c)
 Question 2
In a two digit number the digit in the unitâ€™s place is twice the digit in the tenâ€™s place and the number obtained by interchanging the digits is more than the original number by 27. What is 50% of the original number?
 A 36 B 63 C 48 D 18
Question 2 Explanation:
Let the digits be x(units) and y(tens) respectively .
Possible cases:

On interchanging 36 we get 63 which is exactly 27 more than the original number.
Thus 50% of 36 = 18.
Correct option is (d)
 Question 3
The difference between a two digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
 A 4 B 9 C 3 D Cannot be determined
Question 3 Explanation:
Let the number be of form 10x+y.
Thus ,
x+y= 4.
The possible cases are 40,31,22.
Only 40 satisfies the condition. Thus the correct answer is (a)
 Question 4
On a particular day, sweets were to be equally distributed among 495 students of a school. However, on that particular day 396 students from a nearby school also joined them. Hence each student present on that day got four sweets less. How many sweets were distributed?
 A 5445 B 4950 C 4455 D 3960
Question 4 Explanation:
Let them originally receive x sweets each.
Total sweets distributed = 495x.
495x=(495+396)(x-4)
=> x=9
Thus total sweets = 495X9 =4455
Correct option is (c)
 Question 5
The students present in an auditorium are asked to stand in rows. If there were 4 students extra in a row there would be 4 less rows. However, if 2 students were less in a row, there would be 4 more rows. The number of students present in the auditorium is
 A 80 B 96 C 100 D 128
Question 5 Explanation:
Let the number of students in each row be x and rows be y.
Thus xy =(x+4)(y-4)
xy=(x-2)(y+4)
x=8 and y=12
The number of students is = 8*12=96
Correct option is (b)
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