How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 59

EASY

CAT

IMPORTANT

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Find the pairs of natural numbers whose least common multiple is $78$ , and the greatest common divisor is $13$ .

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Important Questions on Number Systems

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 60

Find two natural numbers whose sum is

85

, such that their least common multiple is

102

.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 61

Find the pairs of natural numbers, the difference of whose squares is

55

.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 62

Which of these is the greatest?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 63

Is it possible for a common fraction whose numerator is less than the denominator to be equal to a fraction whose numerator is greater than the denominator?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 64

What digit should be put in the place of

c

in

38 c

to make it divisible by

2

,

3

,

4

, and

6

?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 65

Find the HCF and LCM of the following numbers:

54

,

81

,

135

, and

189

.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 66

The last digit in the expansions of the three-digit number

{(34 x)}^{43}

and

{(34 x)}^{44}

are

7

and

1

, respectively. What can be said about the value of

x

?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 69

Amrit, a naughty boy, watches an innings of Sachin Tendulkar and acts according to the number of runs he sees Sachin scoring. The details of these are given below.

$1$ run	Place an orange in the basket.
$2$ runs	Place a mango in the basket.
$3$ runs	Place a pear in the basket.
$4$ runs	Remove a pear and a mango from the basket.

One fine day, at the start of the match, the basket is empty. The sequence of runs scored by Sachin in that innings are given as: $1 - 1 - 2 - 3 - 2 - 4 - 1 - 1 - 2 - 3 - 4 - 2 - 3 - 2 - 3 - 4 - 1 - 1 - 2 - 1 - 3 - 1 - 4$ . At the end of the above innings, how many more oranges were present inside the basket compared to mangoes?