Correct Answer: 9

Solution : Given: A's work in a day is $\frac{1}{36}$ unit.
B works in one day is $\frac{1}{12}$ unit.
Together, A and B's work in a day = $(\frac{1}{36}+\frac{1}{12})= (\frac{1+3}{36})=\frac{4}{36}=\frac{1}{9}$ unit.
Together, A and B can complete the work in $\frac{1}{\frac{1}{9}}$ = 9 days.
Hence, the correct

Correct Answer: (1)

Solution : The correct answer is the first option.

When a meeting is advanced, it means it has been moved to an earlier date. However, the sentence intends to convey that the meeting was rescheduled or moved to a later date.
The more appropriate word to

Correct Answer: $3a$

Solution : Given:
$a^3-7a-6$
= $a^3-a-6a-6$
= $a(a^2-1)-6(a+1)$
= $a(a-1)(a+1)-6(a+1)$
= $(a+1)(a^2-a-6)$
= $(a+1)(a-3)(a+2)$
So, three factors x, y, z are $(a+1)(a-3)(a+2)$.
$\therefore x+y+z= (a+1)+(a-3)+(a+2)=3a$
Hence, the correct answer is $3a$.

Correct Answer: 15 years

Solution : The total age difference of the group = number of members × change in average age = 5 × 3 = 15
As the average remains the same, the required difference is 15 years.
Hence, the correct answer is 15 years.

Correct Answer: Potassium

Solution : The correct option is potassium.

Malleability refers to the quality of metals that permits them to be hammered or moulded into thin sheets. Because of its softness and limited mechanical strength, potassium cannot be beaten into sheets. It reacts quickly with oxygen and moisture,

Correct Answer: Defamation

Solution : The third option is the correct choice.

Defamation specifically refers to the action of damaging the good reputation of someone through false statements or actions.

The meanings of the other options are as follows:

• A delegate refers to a person designated to represent others or

Correct Answer: $\frac{5}{4}$

Solution : Let the fraction be $x$.
According to the question,
$x-\frac{1}{x}=\frac{9}{20}$
$\Rightarrow 20x^2-9x-20=0$
$\Rightarrow 20x^2-25x + 16x-20=0$
$\Rightarrow 5x (4x-5) + 4x (4x-5)=0$
$\Rightarrow (4x-5) (5x+4)=0$
$\Rightarrow (4x-5) =0$ or $ (5x+4)=0$
$\therefore x=\frac{-4}{5},\frac{5}{4}$
Hence, the correct answer is $\frac{5}{4}$.

Correct Answer: 75° and 60°

Solution : Let the two angles be x and y.
So, x + y = 135°------------------------------(1)
The difference of the two angles is $\frac{\pi}{12}$.
So, x – y = $\frac{\pi}{12}=\frac{180}{12}$ = 15° ---------------------------(2)
Solving equations (1) and (2), we get,
x = 75°
So, y

Correct Answer:

Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of the question figure with all the option figures, the given question figure is embedded only in the first option figure.

Hence, the first option is

Correct Answer: (a)   (b)   (c)   (d)

3       4     1    2

Solution : The correct answer is 

(a)   (b)   (c)   (d)

3       4     1    2

Mark Spitz is a former American swimmer and won 9 gold medals in the 1972 Summer Olympics, the most ever won by a single athlete at