Tag: maths

Questions Related to maths

Ashima bought $23$ things from the market. She bought five more jeans than shirts and two fewer watches than jeans. If $x$ represents the number of shirts in total, then which sentence can be used to find how many of each thing are bought?

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. $x + (x + 5) + (x + 3) = 23$

  2. $x + (x - 5) + (x - 3) = 23$

  3. $(x + 5) + (x + 3) = 23$

  4. $x + (x + 3) = 23$

Show answer
Correct Option: A
Explanation:

Given: Number of shirts = $x$ 

Number of Jeans = $x+5$
Number of watches= $(x+5)-2=x+3$
$\therefore$  According to question,
$x+(x+5)+(x+3)=23$

You are decorating a gift pack with 15 flowers. You want an equal number of flowers in each of the 3 rows on the gift pack. Which equation would you use to find the number of flowers, r, in each row?

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. r + 3 = 15

  2. 15 + r = 3

  3. 3r = 15

  4. $\dfrac {3}{r}$ = 15

Show answer
Correct Option: C
Explanation:

We have to decorate a gift pack with 15 flowers. 

$\Rightarrow$  There are 3 rows on gift pack and we want equal number of flowers in each row.
$\Rightarrow$  Let $r$ be number of flowers in each row.
$\therefore$   Number of rows $\times$ Number of flowers in each row = Number of flowers.
$\Rightarrow$  $3\times r=15$
$\therefore$     $3r=15$

A shopkeeper sells bananas in two types of boxes, one small and one large. A large box contains as many as 6 small boxes plus 2 loose bananas. Form an equation which gives the number of bananas in each small box, if the number of bananas in 1 large box is 50.

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. 3x + 1 = 50

  2. x + 1 = 20

  3. 6x + 2 = 50

  4. 2x + 1 = 20

Show answer
Correct Option: C
Explanation:
 Let the number of bananas in each small box be $x.$
$\Rightarrow$  Number of small boxes $=6$
$\therefore$   According to question, $6x + 2 = 50$

The teacher tells the class that the highest marks obtained by a student in her class is four times the lowest marks plus 6. The highest score is 65. Form the equation which will calculate the lowest marks.

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. 6m + 4 = 65

  2. 4m + 65 = 6

  3. 4m + 6 = 65

  4. 6m + 65 = 4

Show answer
Correct Option: C
Explanation:
 Let the lowest marks obtained by a student be $m.$
$\Rightarrow$  The highest score is $65.$
$\Rightarrow$  According to question, $4m+6=65$
$\therefore$   The equation to calculate lowest marks is $4m+6=65$.

Ram's father's age is 3 years more than two times Ram's age. Ram's father is 45 years old. Form an equation to find Ram's age.

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. 2x + 3 = 45

  2. 3x + 2 = 45

  3. 6x + 3 = 45

  4. 5x + 1 = 45

Show answer
Correct Option: A
Explanation:
 Let Ram's age be $x$ years.
$\Rightarrow$  Ram's father's age = $(2x + 3)$ years
$\therefore$    According to question, $2x + 3 = 45$

A group of students decided to collect as many paise from each member of the group as is the number of members in the group. If the total collection amounts to Rs.$22.09$, the number of members in the group is.

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. $37$

  2. $47$

  3. $39$

  4. $49$

Show answer
Correct Option: B
Explanation:

Let the total number of members = $x$


So, money collected from each member = $x\ paise=Rs.\ 0.01x$

Total money collected = $x\times0.01x=0.01\ x^2$

$\Rightarrow0.01\ x^2=22.09$

$\Rightarrow x^2=\dfrac{22.09}{0.01}=2209$

$\Rightarrow x=\sqrt{2209}=47$

So, there are  $47$  members in the group.   $[B]$

Each child from a certain school can make $5$ items of handicraft in a day. If $1125$ handicraft items are to be displayed in an exhibition, then in how many days can $25$ children make these items?

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. $6$ days

  2. $7$ days

  3. $8$ days

  4. $9$ days

Show answer
Correct Option: D
Explanation:

Number of handicrafts made by one student in a day = $5$


Total number of students = $25$

So, total number of handicrafts made in a day = $25\times5=125$

Total number of handicrafts required = $1125$

$\therefore$  Number of days required = $\dfrac{Total\ number\ of\ handicrafts\ required}{Number\ of\ handicrafts\ made\ in\ a\ day}=\dfrac{1125}{125}=9\ days$.

So, we can make the required number of handicrafts in $9\ days$.   $[D]$

Kiran spent $Rs. 6x$ on a book, $Rs. 6$ on food and had $Rs.18$ left. what was the sum of money she had at first? Express your answer in terms of $x$.

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. $Rs. (6x+18)$

  2. $Rs. (6x+24)$

  3. $Rs. 64x$

  4. $Rs. 24x$

Show answer
Correct Option: B
Explanation:

Amount spent on book $=Rs. 6x$

Amount spent on food $=Rs. 6$
Total amount spent $=Rs. (6x+6)$
Amount left with Kiran $=Rs. 18$
$\therefore$ Amount she had at first $=Rs. (6x+6+18)$
                                            $=Rs. (6x+24)$

A person walks from his house at a speed of $4$ km/hr and reaches his schools $5$ minutes late. If his speed has been $5$ km/hr, he would have reached $10$ minutes earlier. The distance of the school from his house is

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. $5$ km

  2. $6$ km

  3. $7$ km

  4. $8$ km

Show answer
Correct Option: A
Explanation:

Let the correct time to reach the school be ‘t’ hrs.

Then,the time taken by the man when he wakes at a speed of $4km$ will be ‘t’ hrs+5 mins,

which is nothing but $(t+\dfrac{5}{60})$hrs.

And,the time taken by the man when he walks at 5km/hr will similarly be $(t-\dfrac{10}{60})$hours.

As the distance in both the cases is same,

$4(t+\dfrac{5}{60}$)hrs=$5(t-\dfrac{10}{60})$hrs

$4t+\dfrac{20}{60}$=$5t-\dfrac{50}{60}$

 Therefore$ t=\dfrac{70}{60}$=$\dfrac{7}{6}$hrs

Actual distance=$4(t+\dfrac{5}{60})$

=  $4(\dfrac{70}{60}+\dfrac{5}{60})$

=$4\times \dfrac{75}{60}$=$5kms.$

If $12$ men complete a work in $20$ days. If only $8$ men are  employed, then the time required  to complete  the same work is

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. $24$ days

  2. $25$ days

  3. $30$ days

  4. $35$ days

Show answer
Correct Option: C
Explanation:

As $12$ men complete work in $20$ days, $1$ man will complete the same work in

$20\times12=240$ days.

Time required by $8$ men to complete the work=$\dfrac{240}{8}$=$30$ days..