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Number System: Level 1 Test -9

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Question 1
The LCM and HCF of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1: 4, then the larger of the two number is
A
12
B
48
C
84
D
108
Question 1 Explanation: 
Let the numbers by 21x and 84x.
The LCM is 84 and the larger number is 84x.
Thus the largest number is 84.
Correct option is (c)
Question 2
The unit’s digit in the product of 735 x371 x 1155
A
1
B
3
C
7
D
9
Question 2 Explanation: 
We can easily observe that 1111 is divisible by 735335
has the last digit as 1
Now 336 is left,
Thus the last digit of (34)9 =1
So the correct option is a
Question 3
Which of the following pairs of fractions adds up to a number greater than 5?
A
$ \displaystyle \frac{13}{5},\frac{11}{6}$
B
$ \displaystyle \frac{11}{4},\frac{8}{3}$
C
$ \displaystyle \frac{7}{3},\frac{11}{5}$
D
$ \displaystyle \frac{5}{3},\frac{3}{4}$
Question 3 Explanation: 
Let us evaluate the options,
Option a $ \frac{133}{30}$
Option b $ \frac{65}{12}>5$
By observation, we can find that correct option is (b)
Question 4
The remainder when 71987 is divided by 5 is
A
1
B
2
C
3
D
4
Question 4 Explanation: 
71 = 7, 72 = 49; 73= 343; 74= 2401; 75= 16807
Hence, unit’s digit repeats after index 4.
Remainder when 1987 is divided by 4= 3
Unit’s digit = 3
Hence, remainder non division by 5 = 3
Question 5
Unit’s digit in 132003 is
A
1
B
3
C
7
D
9
Question 5 Explanation: 
The question is same as finding unit’s digit of ${{3}^{2003}}={{3}^{3}}=\_7$
Thus correct option is (c)
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