Tag: place value, ordering and rounding

Questions Related to place value, ordering and rounding

$-84\times 29+365=$?

  1. $2436$

  2. $2801$

  3. $-2801$

  4. $-2071$

  5. None of these


Correct Option: D
Explanation:

Given Exp. $=-84\times (30-1)+365$
$=-(84\times 30)+84+365$
$=-2520+449$
$=-2071$

In a class, there are 18 boys who are over 160 em tall. If these constitute three-fourths of the boys and the total number of boys is two-third of the total number of students in the class, what is the number of girls in the class?

  1. 6

  2. 12

  3. 18

  4. 24


Correct Option: B
Explanation:

Total number of boys $\displaystyle=18\div\frac{3}{4}=24$

Total number of students $\displaystyle=24\times\frac{3}{2}=36$

$\therefore$ Number of girls $=36-24=12$

$35+15\times 1.5=$?

  1. $85$

  2. $51.5$

  3. $57.5$

  4. $5.25$

  5. None of these


Correct Option: C
Explanation:

Given Exp.$=35+15\times \cfrac{3}{2}=35+\cfrac{45}{2}=35+22.5=57.5$

$(800\div 64)\times (1296\div 36)=$?

  1. $420$

  2. $460$

  3. $500$

  4. $540$

  5. None of these


Correct Option: E
Explanation:

Given Exp. $=\cfrac { 800 }{ 64 } \times \cfrac { 1296 }{ 36 } =450$

$9+\cfrac { 3 }{ 4 } +7+\cfrac { 2 }{ 17 } -\left( 9+\cfrac { 1 }{ 15 }  \right) =$?

  1. $7+\cfrac { 719 }{ 1020 } $

  2. $9+\cfrac { 817 }{ 1020 } $

  3. $9+\cfrac { 719 }{ 1020 } $

  4. $7+\cfrac { 817 }{ 1020 } $

  5. None of these


Correct Option: D
Explanation:

Given the sum $=9+\cfrac { 3 }{ 4 } +7+\cfrac { 2 }{ 17 } -\left( 9+\cfrac { 1 }{ 15 }  \right) $
$=(9+7-9)+\left( \cfrac { 3 }{ 4 } +\cfrac { 2 }{ 17 } -\cfrac { 1 }{ 15 }  \right) $
$=7+\cfrac { 765+120-68 }{ 1020 } $
$=7+\cfrac { 817 }{ 1020 } $