How to prepare for Quantitative Aptitude for the CAT>Chapter 4 - Taste of The Exams - Block I>XAT>Q 27

MEDIUM

CAT

IMPORTANT

Earn 100

Two numbers in the base system $B$ are $2061_{B}$ and $601_{B}$ . The sum of these two numbers in decimal system is $432$ . Find the value of $1010_{B}$ in the decimal system.

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Important Questions on Taste of The Exams - Block I

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 4 - Taste of The Exams - Block I>XAT>Q 28

For two positive integers

a

and

b

, if

{(a + b)}^{(a + b)}

is divisible by

500

, then the least possible value of

a \times b

is :

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 4 - Taste of The Exams - Block I>XAT>Q 29

a, b, c

are integers,

|a| \neq |b| \neq |c|

and

- 10 \leq a, b, c \leq 10

. What will be the maximum possible value of

[a b c - (a + b + c)] ?

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 4 - Taste of The Exams - Block I>XAT>Q 30

If

a, b

and

c

are

3

consecutive integers between

- 10 t o + 10

(both inclusive), how many integer values are possible for the expression

\frac{(a^{3} + b^{3} + c^{3} + 3 a b c)}{{(a + b + c)}^{2}} ?

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 4 - Taste of The Exams - Block I>XAT>Q 31

The sum of series,

(- 100) + (- 95) + (- 90) + . . . . . . . . . . . . . . . . . + 110 + 115 + 120,

is :

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 4 - Taste of The Exams - Block I>XAT>Q 32

If

N = (11^{p + 7}) (7^{q - 2}) (5^{r + 1}) (3^{s})

is a perfect cube, where

p, q, r

and

s

are positive integers, then the smallest values of

p + q + r + s

is :

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 4 - Taste of The Exams - Block I>XAT>Q 33

Hari's family consisted of his younger brother (Chari), younger sister (Gouri), and their father and mother. When Chari was born, the sum of ages of Hari, his father and mother was

70

years. The sum of four family members, at the time of Gouri's birth, was twice the sum of ages of Hari's father and mother at the time of Hari's birth. If Chari is

4

years older than Gouri, then find the difference in age between Hari and Chari.