First 10 whole numbers = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9$ \begin {align*} \text {Sum of the whole numbe...

Two perpendicular lines are symmetric about1. One of the lines2. The angle bisectorAns = Either of ...

Angle Bisector

$ \frac {2x}{3} + \frac{53}{7} = 9$$\frac {14x + 159}{21} = 9$$ 14x + 159 = 9 \times 21$$ 14x + 159 ...

$ \frac {-x}{4} = 20$$ Let \frac {-x}{4} \times 4 = 20$$ \implies x = - 80$We need to multiply -4 t...

0.35 : x :: 7 : 8$\frac {0.35}{x} = \frac {7}{8}$$ 0.35 \times 8 = 7x$$ \frac{0.35 \times 8}{7} = x$...

Total Amount = Rs. 11624 times of Ajay's share = 5 times of Nagendra's share = 7 times of chandru's ...

Sides of the Triangle = 2x, 3x, 4xPerimeter = 36$ 2x +3x + 4x = 36$$ 9x = 36$$ x = \frac {36}{9}$$ x...

https://clay6.com/mpaimg/54597.jpgSum of the diagonal of a square = 32Diagonal of a square is same$ ...

9 + 4 ----> 1313 + 5 ----> 1818 + 6 ----> 24The missing number is 24

Sum of the ages of Pandey & Mishra = 40Let Mishra's age be x$Pandey's age = \frac {1}{3}x$$\impl...

$ \text {Scientific Notation of} \frac {8}{10000}$$ = 8.4 \times 10^{-3}$

$ \text {Pages read by Piyus} = \frac {4}{7} \text {of a book}$Pages left = 60Let the total number o...

Original number = 9378Reversing the digit = 8739Place value of 9 -------> 9 (units place)

Radius of the circle = r$ \text {Circumference of the circle} = 2 \pi r$$ \text {Radius} = \frac {r}...

Smallest 4 digit prime number is 1009

Original number given = 20198Reversing the digit = 89102Interchange the digit of units place & h...

https://clay6.com/mpaimg/54802.jpg

P - NurseQ - Doctor (Father of T)R - StudentS - Housewife (Grandmother of T)T - StudentU - Contracto...

https://clay6.com/mpaimg/55267.jpg

$Let\;\; x_1 = 400$$ y_1 = 12$$\begin{align*} x_2 &= 400 + 80 \\&= 480 \end {align*}$$ y_2...

4, 5, 8, 17, 44, ?$5 - 4 = 1 = 3^0$$8 - 5 = 3 = 3^1$$17 - 8 = 9 = 3^2$$ 44 - 17 = 27 = 3^3$$ x - 44 ...

https://clay6.com/mpaimg/55292.jpgBy Pythagores Theorem:$ AB^2 + BC^2 = AC^2$$ 40^2 + 9^2 = AC^2$$ 1...

C has two children A and BIf A is his son, Then B must be his daughterAns = Daughter and father

$a = 3x, \;\;\; b = 4x, \;\;\; c= 5x$a + c = 52 + b3x + 5x = 52 + 4x8x = 52 + 4x4x = 52x = 13a = 39$...

Daughter of Brother - in - law - NeiceMother's niece - CousinSo, the girl is the cousin of A's frien...

10 cats caught 10 rats in 10 secondscats are required to catch 100 rats in 100 seconds$ \implies\tex...

Let the number be x and x+1$Then \; \; (x + 2)^2 - x^2 = 84$$x^2 + 4 + 4x - x^2 = 84$$4x + 4 = 84$$...

Toolbox:Distance = Speed $\times$ Time$\Rightarrow Speed = \large\frac{Distance\;travelled}{time\; ...

3, 8, 15, 24, 35, 48, 63, 80, —3 + 5 = 88 + 7 = 1515 + 9 = 2424 + 11 = 3535 +13 = 4848 + 15 = 6363 +

25, 34, 52,79, 115,?25 + 9 = 3434 + 18 = 5252 + 27 = 7979 + 36 = 115115 + 45 = 160160 + 54 = 214

C 81 E 64 ? 49 I ? K$ C + 2 = E\; \; and \; \; (9 - 1)^2 = 8^2 = 64$$ E + 2 ...

The largest possible decimal fraction upto 3 decimal places = 0.999

Perimeter = 40$ 4 \times S = 40$$ S = \frac {40}{4}$$ S = 10$$\begin {align*} \text {Area} &= 10...

Milk supplied in the morning = 32 litresMilk supplied in the evening = 68 litres$ \begin{align*}\tex...

Sum of two rational numbers is "Rational"$ (eg) \; \; Let \; \; \frac {a}{b} \; and \frac {c}{d} \; ...

Power consumed buld each hour = 3 unitsBulb lit per day = 10 hours$\begin {align*} \text {Power cons...

The number which are one more than the multiplies of two are called "Odd"$ 2 + 1 = 3 $$ 4 + 1 = 5$$ ...

Horizontally or Vertically

Let the equal side be "a" cm$Base = 1.5 \times base$$ a + a + \frac {3}{2} a = 7$$\frac {2a + 2a + 3...

Face value of the number is the number itself

https://clay6.com/mpaimg/54977.jpgGiven ABC is an Isoceles$\text {Angle in an isoceles traingle is 6...

https://clay6.com/mpaimg/54594.jpgGiven:Isoceles right angle triangle$ \angle {B} = 90 ^\circ$AB = B...

https://clay6.com/mpaimg/1_54252.jpg$ \text {Sum of two unequal angles is 130} ^\circ$$\angle {A} + ...

$ \frac {x +1}{x} = 2$$ {x + 1} = 2x$$ 1 = {2x - x}$$x = 1$

4 : x = 12 : 27$ \frac {4}{x} = \frac {12}{27}$$ \text {12x} = 27 \times 4$$ x = \frac {27 \times 4}...

A : B = 3 : 7$\frac {A}{B} = \frac {3}{7}$$ \frac {15}{B} = \frac {3}{7}$$\text 3B = \frac {15}{7}$$...

https://clay6.com/mpaimg/54464.jpgIn a right angle triangle we have: $ AC^2 = AB^2 + BC^2$$ 5^2 = AB...

https://clay6.com/mpaimg/54469.jpgHence the diagonals of the square are perpendicular

No. of lines of Symmetry in a square is 4