Correct Answer: 4% loss

Solution : Given, a tradesman marks his goods 20% above his cost price.
Also, Discount given = 20%
Let Cost Price, CP = Rs. 100
Marked Price, MP = Rs. 120
Now, Discount = 20% of MP = $\frac{20}{100}×120$ = Rs. 24
Selling Price, SP = MP – Discount = Rs. (120 − 24) = Rs. 96
Loss percentage = $\frac{\text{CP – SP}}{\text{CP}}\times100$ = $\frac{100-96}{100}×100$ = 4%
Hence, the correct answer is a 4% loss.

Correct Answer: $32$

Solution : Given: Ajay can finish the work alone in 32 days.
Efficiency of Ajay = $\frac{1}{32}$
Ajay and Bharat completed the work in exactly 8 days.
So, both will work for 4 days each alternatively.
Total work of Ajay = $4×\frac{1}{32}=\frac{1}{8}$
Total work of Bharat = $1–\frac{1}{8}=\frac{7}{8}$
Bharat completed $\frac{7}{8}$ work in 4 days.
So, 1 day work of Bharat = $\frac{7}{8×4}=\frac{7}{32}$
Therefore Bharat will take $\frac{32}{7}$ days to finish the work alone.
Bharat alone can finish 7 times the same work in = $7×\frac{32}{7}=32$ days
Hence, the correct answer is $32$.

Correct Answer: 15

Solution : Given: 
132 : 10 :: 42 : 5 :: 272 : ?

In the given pairs, add 3 to the second number, then multiply with the second number, and again add 2 to the resultant to get the first number.
Like, 132 : 10→{10 × (10 + 3)} + 2 = {10 × 13} + 2 = 130 + 2 = 132
42 : 5→{5 × (5 + 3)} + 2 = {5 × 8} + 2 = 40 + 2 = 42
Similarly, follow the same pattern for 272 : ?→Let the missing number be x.
⇒ {x × (x + 3)} + 2 = 272
⇒ {x × (x + 3)} = 272 – 2
⇒ {x² + 3x} = 270
⇒ x² + 3x – 270
⇒ x² + 18x – 15x – 270
⇒ x(x + 18) – 15(x + 18)
⇒ (x + 18) (x – 15)
⇒ x = 15 or –18 (Since 15 is given in the options, the value of x will be 15.)

So, 15 is related to 272. Hence, the first option is correct.

Correct Answer: F. E. Fritsch

Solution : The correct answer is F. E. Fritsch.

A system of classification of algae was proposed by F. E. Fritsch in his book " ;The Structure and Reproduction of the Algae&quo;. He divided the algae into 11 classes and treated it according to rank. His classification of algae is primarily based on flagella, pigment characteristics, and reserve food sources.

Correct Answer: $56 \frac{1}{4}$

Solution : Let B = 100
So, A = 60
$\therefore$ C = 40% of (60 + 100) = 64
So, B is greater than C by
$= (100 - 64) × \frac{100}{64}$
$= (\frac{225}{4})\%$
$=56\frac{1}{4}\%$
Hence, the correct answer is $56\frac{1}{4}\%$.

Correct Answer: 12 hours

Solution : 1 hour task of (A + B) = $\frac{1}{6}$
1 hour task of (A + B + C) = $\frac{1}{4}$
The task done by C alone in a day
= $\frac{1}{4}-\frac{1}{6}$
= $\frac{6-4}{24}$
= $\frac{2}{24}$
= $\frac{1}{12}$
So C alone can complete the whole work in 12 hours.
Hence, the correct answer is 12 hours.

Correct Answer: forseeable

Solution : The incorrectly spelt word is the second option.

The correct spelling is foreseeable, not "forseeable". The prefix "fore-" means "before," and in this context, it indicates that the future can be seen or predicted. Therefore, the correct spelling should be "foreseeable".

Correct Answer: single user operating system

Solution : The correct option is single user operating system.

The IBM-DOS (IBM Disc Operating System) operating system is a single-user operating system. These operating systems were primarily intended for single-user desktop and small-scale computer settings. IBM-DOS was a command-line operating system that supported basic file management and programme execution. It lacked built-in support for multitasking or multi-user capability, making it best suited for single users working on home computers.
 

Correct Answer: 3960 cm²

Solution : The slant height of a cone, $l$ = 60 cm
The radius of the base, $r$ = 21 cm
Curved surface area = $\pi\times r\times l$
Or, curved surface area = $\frac{22}{7}\times 60\times 21$ cm²
$\therefore$ Curved surface area = 3960 cm²
Hence, the correct answer is 3960 cm².

Correct Answer: Right to Property

Solution : The correct answer is the Right to Property.

A citizen's fundamental rights are their legally enforceable and inalienable rights. Part III of the Indian Constitution contains them. The 44th Amendment Act eliminated this capricious authority bestowed upon the government. Following its establishment as a legal right under Article 300A, the property right was removed from the list of essential rights (Article 31).