Aptitude  Simplification  Practice Q&A - Easy

Answer: 26
Explanation:

Let the number of hens be $ x $ and the number of cows be $ y $.

Then, $ x $ + $ y $ = 48 .... (i)

  and 2$ x $ + 4$ y $ = 140   $\Rightarrow$   $ x $ + 2$ y $ = 70 .... (ii)

Solving (i) and (ii) we get: $ x $ = 26, $ y $ = 22.

$\therefore$ The required answer = 26.

Answer: 0
Explanation:

b - [b -(a+b) - {b - (b - a+b)} + 2a]

= b - [b -a -b - {b -b +a -b} + 2a]

= b - [b -a -b - {a -b} + 2a]

= b - [b -a -b - a +b + 2a]

= b - [b]

= b - b

= 0

Answer: 90
Explanation:

Let number of notes of each denomination be $ x $.

Then $ x $ + 5$ x $ + 10$ x $ = 480

$\Rightarrow$ 16$ x $ = 480

$\therefore x $ = 30.

Hence, total number of notes = 3$ x $ = 90.

Answer: 14
Explanation:

a * b = 2a - 4b + 2ab

Hence,

2*3 = 2$(2)$ - 4$(3)$ + 2$\left(2 \times 3\right)$ = 4 - 12 + 12 = 4

3*2 = 2$(3)$ - 4$(2)$ + 2$\left(3 \times 2\right)$ = 6 - 8 + 12 = 10

∵ 2*3 + 3*2 = 4 + 10 = 14

Answer: $ \dfrac{1}{7} $
Explanation:

Original share of 1 person =$ \dfrac{1}{8} $

New share of 1 person =$ \dfrac{1}{7} $

Increase =$ \left(\dfrac{1}{7} -\dfrac{1}{8} \right) $=$ \dfrac{1}{56} $

$\therefore$ Required fraction =$ \dfrac{(1/56)}{(1/8)} $=$ \left(\dfrac{1}{56} \times\dfrac{8}{1} \right) $=$ \dfrac{1}{7} $

Answer: 400
Explanation:

$\text{Required number of employees = }\dfrac{\text{(624000 - 600000)}}{60} = \dfrac{24000}{60} = 400$

Answer: 36
Explanation:

Let the number of notes of each denomination be x

Then, x + 5x + 20x = 312

=> 26x = 312

=> x = 312/26 = 12

the total number of notes that he has = 3x = 3 × 12 = 36

Answer: 24 m
Explanation:

Between the 12 mango trees, there are 11 gaps and each gap has 2 meter length

Also, 1 meter is left from all sides of the boundary of the garden.

Hence, length of the garden = $\left(11 \times 2\right)$ + 1 + 1 = 24 meter

Answer: 42
Explanation:

Let the number of girls = x and the number of boys = 8x

Then, total number of students = x + 8x = 9x

i.e., the total number of students must be a multiple of 9

From the given choices, 42 cannot be a multiple of 9.

Hence, 42 cannot be the total number of students.

Answer: 512
Explanation:

Let total number of children be $ x $.

Then, $ x \times \dfrac{1}{8} x $ = $\left(\dfrac{x}{2}\times 16\right)$   $\Leftrightarrow  $ x = 64.

$\therefore$ Number of notebooks =$ \dfrac{1}{8} x $² =$ \left(\dfrac{1}{8} \times 64 \times 64\right)$= 512.