Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Benchmarking Test 1>Q 10

EASY

CAT

IMPORTANT

Earn 100

Of $128$ boxes of oranges, each box contains at least $120$ and at most $144$ oranges. The number of boxes containing the same number of oranges is at least:

50% studentsanswered this correctly

Important Questions on Numbers and Their Properties

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Benchmarking Test 1>Q 11

What is the value of

\sum_{N = 1}^{99} \frac{1}{\sqrt{N} + \sqrt{N + 1}}

?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Benchmarking Test 1>Q 12

a, b, c, d

and

e

are prime numbers, not necessarily consecutive. If

a + b + c + d + e = 350

and

a < b < c < d < e

, how many values of

a^{5}

is/are possible?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Benchmarking Test 1>Q 14

What is the remainder when

128^{1000}

is divided by

153

?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Benchmarking Test 1>Q 17

What is the remainder when

2^{104}

is divided by

101

?