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

MEDIUM

CAT

IMPORTANT

Earn 100

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?

50% studentsanswered this correctly

Important Questions on Numbers and Their Properties

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?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 54

How many prime numbers are there which, when divided by another prime number, gives a quotient which is same as the remainder?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 55

Let A, B, and C be digits such that

(100 A + 10 B + C) (A + B + C) = 2005

. What is the value of A?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 56

Find the product of all the factors of

3^{16}

.

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 57

What is the remainder when

90^{91}

is divided by

13

?