$\mathrm{N}={99}^3-{36}^3-{63}^3$, how many factors does $\mathrm{N}$ have?

Important Questions on Review Tests - Block I

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 3 - Review Tests - Block I>Review Test 3>Q 3

Find the highest power of$2$ in $10!+11!+12!+13!+....98!+99!+100!.$

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 3 - Review Tests - Block I>Review Test 3>Q 4

$100!$ is divisible by ${160}^n$, What is the maximum integral value $n$?

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 3 - Review Tests - Block I>Review Test 3>Q 5

What is the sum of the digits  of the decimal form of product $2^{999}\times 5^{1001}?$

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 3 - Review Tests - Block I>Review Test 3>Q 6

What is the remainder when $1\times 1+11\times 11+111\times 111+1111\times 1111+......................\left(2001 times 1\right)\times \left(2001 times 1\right)$is divided by$100$?

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 3 - Review Tests - Block I>Review Test 3>Q 7

What is the remainder when $789456123$is divided by $999?$

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 3 - Review Tests - Block I>Review Test 3>Q 8

What is the total number of factors of $16!.$

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 3 - Review Tests - Block I>Review Test 3>Q 9

Find the sum of the first$125$ terms of the sequence $1, 2, 1, 3, 2, 1, 5, 4, 3, 2....$

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 3 - Review Tests - Block I>Review Test 3>Q 10

Umesh purchased a TATA Nano recently, but the faulty car odometer of TATA Nano proceeds from digit$4$ to digit$6,$always skipping the digit $5,$ regardless of position. If the odometer now reads $003008$ (starting with$000000$), how many km has the Nano actually travelled?