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## Number System: Level 1 Test - 7

Congratulations - you have completed Number System: Level 1 Test - 7. You scored %%SCORE%% out of %%TOTAL%%. You correct answer percentage: %%PERCENTAGE%% . Your performance has been rated as %%RATING%%
 Question 1
The sum of two numbers is 462 and the HCF of these two numbers is 22. Find the maximum number of pairs that satisfy these conditions?
 A 1 B 3 C 2 D 6
Question 1 Explanation:
Since 22 is the HCF, the two numbers are 22x and 22y (x and y are prime to each other).
Also, we know
22x+22y=462
x+ y=21
Now 21 can be written as a sum of two co-prime numbers in the following ways:
(1,20) (2,19) (4,17) (5,16) (8,13) (10,11).
Therefore option d is the right answer.
 Question 2
The LCM of two numbers is 280 and their ratio is  7 : 8. Find the two numbers which satisfy this criterion
 A 70, 80 B 42, 48 C 35, 40 D 28, 32
Question 2 Explanation:
Let the number be 7 x and 8x.  HCF=x,
LCM x HCF = Product of numbers
so 280 *x = 56x2 ,
x=5
:. Numbers are 35, 40.
 Question 3
If the age of Ram is one-third the age of his father Sham now, and was one-fourth the age of his father 5 yr ago, then how old will his father Sham be 5 yr from now?
 A 20 B 25 C 50 D 45
Question 3 Explanation:
Let the present age of Ram and his father be x and y respectively.
Then x=1/3y  and (x - 5) = ¼  (y - 5)
From Eqs. (i) and (ii), y = 45 yr and x = 15 yr
Hence, required age = (y + 5) = 50 yr
 Question 4
Find the number which leave remainder of 1, 2 and 3 when divided by 2, 3 and 4 respectively?
 A 11 B 17 C 19 D 36
Question 4 Explanation:
The number which leave remainder 1, 2 , 3 when divided by 2,
3 ,4 respectively  is LCM of ( 2, 3 , 4)- 1
i.e. = 12-1= 11
 Question 5
If x + y > 5 and x - y > 3, then which of the following gives all possible values of x?
 A x> 3 B x> 4 C x > 5 D x < 5
Question 5 Explanation:
x + y > 5  and x-y>3
Solving Eqs. (i) and (ii), we get  2x > 8 so  x> 4
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