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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
12 | |
48 | |
84 | |
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)
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
1 | |
3 | |
7 | |
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
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?
$ \displaystyle \frac{13}{5},\frac{11}{6}$ | |
$ \displaystyle \frac{11}{4},\frac{8}{3}$ | |
$ \displaystyle \frac{7}{3},\frac{11}{5}$ | |
$ \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)
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
1 | |
2 | |
3 | |
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
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
1 | |
3 | |
7 | |
9 |
Question 5 Explanation:
The question is same as finding unit’s digit of ${{3}^{2003}}={{3}^{3}}=\_7$
Thus correct option is (c)
Thus correct option is (c)
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