Number System: Level 1 Test -9

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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