$ \frac {a^2 - b^2}{a - b}$$\begin{align*} &= \frac {(a + b) (a - b)}{a - b} \\&= (a + b) \e...

$ \text {A tank filled with water} = \frac {1}{3}$$ \text {Capacity of the another tank} = {5 \times...

The sum of two composite numbers can be composite or prime

Divisible by 7 :To find out if the number is divisible by 7, double the last digit & subtract it...

$\begin{align*} \text {Total no. of absentees in the week} &= \text {sum of} {(M+T+W+F+S)} \\&am...

Charge for lunch = Rs. 50Charge for milk = Rs. 20$\begin{align*} \text {Charge for each day} &= ...

The number added to 54 is 0 which does not change the sumHence ans = 0

To find the minimum number of square slabs to cover the floor, we have to find the greatest size of ...

https://clay6.com/mpaimg/54581.jpg$ \text 90^{\circ} + \text 90^{ \circ} + \text 60^{ \circ} + x = \...

$ \frac {A}{B} = \frac {2}{3}$$ \frac {B}{C} = \frac {4}{5}$$ \frac {C}{D} = \frac {6}{7}$$\begin{al...

Smallest 3 digit prime no. = 101Largest 2 digit prime no. = 97$\begin{align*} \text {Difference} &am...

No Relation

Given the series - AZ, GT, MN, ?, YB, the pattern that emerges is the following:$1^{st}$ letter $\to...

https://clay6.com/mpaimg/1_67680.jpgNorth - West

3, 0, 1, 5, 4, 3, 2, 6, 4, 2, 3, 3, 0, 7, 1, 1, 2, 3, 4, 3$ 0 \rightarrow 2$ $ 1 \rightarrow 3$ $ 4 ...

https://clay6.com/mpaimg/67607.jpgIn above fig. the route of the bus from Rajesh to School. Its is g...

https://clay6.com/mpaimg/67628.jpg7 km - 4 km = 3 km EastHence 3 km East

https://clay6.com/mpaimg/67676.jpg40 km - 20 km = 20 km

https://clay6.com/mpaimg/67469.jpg$ x+ 4x = 180^ \circ $$5x = 180^\circ $$ x = 36 ^\circ$Ans = (b)

Distance travelled = 90.6264 kmsPetrol used = 9.24 litresPetrol used per km = 90.6264 - 9.24

Side of a Square = 60 m$\begin{align*} \text {Area} &= {60 \times 60} \\&= 3600 m^2 \end{ali...

Let the total distance be x$ {64} \% \text {of x} = 1344$$\begin{align*} \frac {64}{100} \times {x...

https://clay6.com/mpaimg/1_67606.jpgIn the above diagram BCDE is a squareBE = 2 km : DE = 2 kmAE = 8...

https://clay6.com/mpaimg/67633.jpg

https://clay6.com/mpaimg/67632.jpg

https://clay6.com/mpaimg/1_67640.jpg

Joseph Schooling swims slower than Ryan Murphy.We can represent this as Ryan > Joseph.It is also ...

let x be the total number of students$ \text {Students have sister} = \frac {2}{3} $Students have br...

Total money Usha had = Rs. 192Money spent on Toys = Rs. 94.78Money spent on Bools = Rs. 20.70$\begin...

Length = 80mBreadth = 15m$\begin {align*} \text {Area} &= {80 \times 15} \\&= 1200 m^2 \end{...

Side of the square = 21 cm$\begin {align*} \text {Area} &= {21 \times 21} \\&= 441 cm^2 \end...

Length of the Dinig Room = 7 mBreadth of the Dinig Room = 6 m$\begin{align*} \text {Area} &= {7...

Total no. of Pages = 250$\begin{align*} \text {Paper Covered each day} &= \frac {1}{25} \times 2...

4 months in a year have 30 daysApril, June, Sept, Nov

Car : Road :: Train : Track

$ Chair \rightarrow {Table}$$ Pen \rightarrow {Paper}$

$ Bank \rightarrow {Money}$$ Transport \rightarrow {Goods}$

Total no. of people in a car = 5Total no. of car = 5Total no. of people in 5 car = 5 X 5 = 25Total n...

It is given that today is a Saturday. Therefore tomorrow is a Sunday and the day after tomorrow is a...

POSTSCRIPT$\implies {POST} \rightarrow {2}$$\implies {SCRIPT}$

TRANSLATION$1^{st} = T$$2^{nd} = R$$3^{rd} = A$$4^{th} = N$$5^{th} = S$$6^{th} = L$$7^{th} = A$$8^{t...

$L - Q \rightarrow \text {The next letter is the 5th from L}$$ \text {Hence N} \rightarrow {R} \righ...

Total no. of Boxes = 28Boxes sold to his aunt = 13Boxes sold to his mother = 7Boxes sold to his nei...

Poles : Magnet :: Terminal : Battery

Let x = Smaller numbersx + 1 = Larger numbers$\begin{align*} \frac{4}{7} (x + 1) &= \frac {1}{2}...

Total no. of questions = 30Correct answer scores = 8 pointsFor wrong answers points deducted = 3 poi...

Juice sold on Tuesday = 218.1 litres$\begin{align*} \text {Juice sold on Wednesday} &= {218.1 + ...

Total no. of students in the class = 37Total no. of Girls = 14Total no. of Boys = 37 - 14 = 23Fracti...

Length of the wood = 0.7 mLength of the wood sawed = 0.1 m$\begin{align*} \text {Length of the wood ...

No. of Coin tossed = 1$\text {Probability of getting one head} = \frac {1}{2}$