Quantitative Aptitude

Number System

616 Questions

All HCF and LCM Word Problems 416 Remainder Theorems 122 Number Properties and Series 21 Successive Division 20 Divisibility Rules 19 Digit Word Problems 9 Decimal and Fraction Operations 6 Unit Digit and Last Digits 2 BODMAS Simplification 1

Number System Questions

Multiple choice

Find the greatest number that will divide $152, 245$ and $616$ leaving remainders $8, 5$ and $4$ respectively.

$6$
$8$
$12$
$16$

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Multiple choice

Find the least number which when divided by $20, 18$ and $30$ gives the same remainder $9$ in each case.

$179$
$189$
$169$
$199$

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Multiple choice

The greatest number which divides $77, \,147$ and $252$ leaving the same remainder $7$ in each case is

$9$
$15$
$25$
$35$

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Multiple choice

Find the largest number that divides $2053$ and $967$ and leaves a remainder of $5$ and $7$ respectively.

$64$
$35$
$96$
$72$

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Multiple choice

Find the largest number which divides 55, 127 and 175 so as to leave the same remainder in each case

$24$
$20$
$21$
$25$

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Multiple choice

When a number is divided by $893$ the remainder is $193$. What will be the remainder when it is divided by $47?$

$3$
$5$
$25$
$33$

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Multiple choice

The HCF of two numbers is $28$ and their LCM is $336$. If one number is $112$, then the other number is _________.

$64$
$84$
$34$
$92$

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Multiple choice

___ is the largest number which when divides 98 and 75 leaves a remainder of 2 and 3 in each case.

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Multiple choice

Which of the following pairs of fractions add up to a number greater than 5?

$\displaystyle \frac{13}{5},\frac{11}{6}$
$\displaystyle \frac{11}{4},\frac{8}{3}$
$\displaystyle \frac{7}{3},\frac{11}{5}$
$\displaystyle \frac{5}{3},\frac{3}{4}$

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Multiple choice

Madan picks up three different digit from the set {1, 2, 3, 4, 5} and forms a mixed number by placing the digit in the space $\displaystyle\square \frac{\square }{\square }$ The fractional part of the mixed number should be less than 1 ( for example $\displaystyle4 \frac{2}{3 } $) what is the difference between the largest and smallest possible mixed number that be formed ?

$\displaystyle4 \frac{7}{20 }$
$\displaystyle4 \frac{3}{10 }$
$\displaystyle4 \frac{9}{20 }$
$\displaystyle4 \frac{3}{5 }$

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Multiple choice

The fractional number corresponding to the following number $"9$tens $+5$ ones $+3$ tenths $+7$ hundredths$"$ is ____________.

$\displaystyle\frac{9437}{100}$
$\displaystyle\frac{9537}{100}$
$\displaystyle\frac{9000}{100}$
$\displaystyle\frac{9637}{100}$

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Multiple choice

The greatest number that will divide $137, 182$ and $422$ leaving a remainder of $2$ in each case is

$15$
$12$
$21$
none of these

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Multiple choice

Find the least number of five digits which when divided by $16, 24, 30$ and $32$ leaves a remainder $2$ in each case.

$10084$
$10071$
$10082$
$10002$

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Multiple choice

A number lying between $1000$ and $2000$ is such that on division by $2, 3, 4, 5, 6, 7$ and $8$ leaves remainders $1, 2, 3, 4, 5, 6$ and $7$, respectively. What is the number?

$1679$
$1579$
$1779$
$1879$

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Multiple choice

A number when divided by $136$, leaves $36$ as remainder. If the same number is divided by $17$, what will be the remainder?

Reveal answer Fill a bubble to check yourself

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