It's a Question of your Career!

Correct Answer: 117

Solution : Given:
A stands for ÷, B stands for ×, C stands for +, D stands for – 
13 B 145 A 29 C 69 D 17 = ?

Changing the sign as per the instruction and solving the equation, we will get –
= 13 × 145 ÷ 29 + 69 – 17
= 13 × 5 + 69 – 17
= 65 + 69 – 17
= 117

So, 117 is the required answer. Hence, the fourth option is correct.

Correct Answer: 26.27 cm

Solution : Given: Length($l$) = 13 cm, width($b$) = 11 cm, and height($h$) = 20 cm
Length of the longest diagonal of the cuboid
$=\sqrt{13^2 + 11^2 + 20^2}$
$= \sqrt{169 + 121 + 400}$
$= \sqrt{690}$
$= 26.27$ cm
Hence, the correct answer is 26.27 cm.

Correct Answer: (2)

Solution : The correct choice is the second option.

Explanation:

"Both of which are" is the most appropriate choice for the context, providing a clear and idiomatic way to express the idea that both Apple and IBM are in the computer business.

So, the correct sentence would be: "Two of the biggest corporate firms in the world are Apple and IBM, both of which are in the computer business."

Correct Answer: Q

Solution : Let the total amount of work be a.
⇒ Work done by L and P together = $\frac{50}{100}$a = 0.5 a
⇒ Work done by Q alone = a – 0.5 a = 0.5 a
Also, Work done by P and Q together = $\frac{60}{100}$a = 0.6 a
⇒ Work done by P alone = 0.6 a – 0.5 a = 0.1 a
⇒ Work done by L = a – 0.6 a = 0.4 a
$\therefore$ Q is the most efficient.
Hence, the correct answer is Q.

Correct Answer: before

Solution : The third option is the correct choice.

• Stood before refers to the act of standing while facing someone, which fits perfectly in the sentence.
• The option stood for means to support a cause, which is inappropriate in the context of the sentence. The options stood to and stood towards are wrong.

Therefore, the complete sentence is: "He stood before Ankita but could not utter a single word for quite some time."

Correct Answer: $8 \frac{4}{7}$ hours

Solution : Given: Aditya can complete a grill painting job in 20 hours.
Vinay can complete the same work in 15 hours.
Let the total work be LCM of (20, 15) = 60 units
⇒ Efficiency of Aditya = $\frac{60}{20} = 3$ units/hour
⇒ Efficiency of Vinay = $\frac{60}{15} = 4$ units/hour
⇒ Efficiency of Aditya + Vinay = 3 + 4 = 7 units/ hour
If they work together, time taken = $\frac{60}{7} = 8\frac{4}{7}$
Hence, the correct answer is $8 \frac{4}{7}$ hours.

Correct Answer: Pink head duck

Solution : The correct option is Pink head duck.

The extinct species among the options you provided is the Pink-headed duck. The Pink-headed duck is a species of waterfowl that is believed to be extinct, with the last confirmed sightings dating back to the 1940s. The other species, Hornbill, Andaman wild pig and Andaman teal, are not extinct.

Correct Answer: 18 sec

Solution : Distance = length of train = 180 m
Speed of train = 20 m/s
Speed of main = 10 m/s
The direction of both the train and the man is the same.
So, relative speed = 20 - 10 = 10 m/s
Required time = $\frac{180}{10}$ = 18 sec.
Hence, the correct answer is 18 sec.

Correct Answer: 16 cm

Solution : If two triangles are similar, then their perimeters are directly proportional to the length of their corresponding sides.
So, $\frac{\text{Perimeter of $\triangle$ABC}}{\text{Perimeter of $\triangle$ABC}}= \frac{AB}{DE} = \frac{32}{12}$
⇒ $AB = \frac{32}{12}\times 6$
⇒ $AB = 16\ \mathrm{cm}$
Hence, the correct answer is 16 cm.

Correct Answer: 2

Solution : Given: $a+\frac{1}{a-2}=4$
Subtracting 2 from both sides,
⇒ $a-2+\frac{1}{a-2}=2$
Squaring both sides,
⇒ $( a-2)^2+\frac{1}{( a-2)^2} + 2=2^2$
⇒ $( a-2)^2+\frac{1}{( a-2)^2}=2^2-2$
⇒ $( a-2)^2+\frac{1}{( a-2)^2}=2$
Hence, the correct answer is 2.