EASY

CAT

IMPORTANT

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Manish was dividing two numbers by a certain divisor and obtained remainders as $437$ and $298$ , respectively. When he divides the sum of the two numbers by the same divisor, the remainder is $236$ . What is the divisor?

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Important Questions on Numbers and Their Properties

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 46

I purchased a ticket for the football match between France and Italy in the World Cup. The number on the ticket was a

5

-digit perfect square such that the first and the last digits were the same and the second and fourth digit were the same. If the third digit was

3

, then what was the ticket number?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 47

How many integers

N

in the set of integers

{1, 2, 3, \dots, 100}

are there such that

N^{2} + N^{3}

is a perfect square?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 48

In a birthday party, all the children were given candy bars. All the children got three candy bars each, except the child sitting at the end who got only

2

candy bars. If each child had been given only

2

candy bars, there would have been

8

candy bars remaining. How many children were there and how many candy bars were distributed?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 49

A natural number N satisfies the following conditions.

(A) Number is having all the $9 s$ .

(B) It is divisible by $13$ .

How many digits are there in N?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 50

What is the minimum number of identical square tiles required to cover a floor of dimensions

3.78 m

and

4.8 m

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 51

What is the smallest five-digit number which when divided by

7, 11

and

21

leaves a remainder of

3

in each case?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 52

A milkman has

3

jars containing

57 L, 129 L,

and

177 L

of pure milk, respectively. A measuring can leaves the same amount of milk unmeasured in each jar after a different number of exact measurements of milk in each jar. What is the volume of the largest such can?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 53

A boy was carrying a basket of eggs. He fell down and some of the eggs were broken. The boy has

10

eggs left with him. When asked by his mother, how many eggs were broken, the boy could not recall. However, he recalled that when

1

egg was left, he counted the total number of eggs as

3

. When counted

4

at a time,

1

egg was left and when counted

5

at a time, no egg was left. How many eggs were broken?

Manish was dividing two numbers by a certain divisor and obtained remainders as 437 and 298, respectively. When he divides the sum of the two numbers by the same divisor, the remainder is 236. What is the divisor?

Important Questions on Numbers and Their Properties

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Manish was dividing two numbers by a certain divisor and obtained remainders as $437$ and $298$ , respectively. When he divides the sum of the two numbers by the same divisor, the remainder is $236$ . What is the divisor?