Correct Answer: 560

Solution : Given:
$a+b-c=20$ and $a^2+b^2+c^2=152$
$ a+b-c = 20$
Squaring both sides, we get,
⇒ $a^2 + b^2+c^2 + 2ab-2bc-2ca = 400$
⇒ $2(ab-bc-ca) = 400-152$
⇒ $ab-bc-ca = 124$
Now to find, $a^3+b^3-c^3+3abc$
$= (a+b-c)(a^2+b^2+c^2-(ab-bc-ca))$
$= 20\times (152-124)$
$= 20\times 28 = 560$
Hence, the correct answer is 560.

Correct Answer: 12.5% gain

Solution : Let the cost price of 1 gm be Rs. 1.
The cost price of 28 gm = Rs. 28
The cost price of 36 gm = Rs. 36
Selling price after 12.5% loss on 36 gm packet = $\frac{100-12.5}{100}\times 36$ = Rs. 31.5
Here the cost price is denoted by CP, the selling price is denoted by SP.
Profit% = $\frac{SP-CP}{CP}\times 100$
= $\frac{31.5-28}{28}\times 100$
= 12.5%
Hence, the correct answer is a 12.5% gain.

Correct Answer: Reptile

Solution : Given:
Frog : Amphibian :: Lizard : ?

A frog belongs to the category of amphibians.
Similarly, a lizard belongs to the category of reptiles.

Hence, the third option is correct.

Correct Answer: imperishable

Solution : The most appropriate choice is the fourth option.

Explanation: Imperishable means not subject to decay or deterioration lasting indefinitely. In the context of sustainable development imperishable aligns with the idea of something that can be maintained over time, making it the most appropriate synonym for sustainable in the given sentence.

The meanings of the other options are as follows:

• Vast: It means extremely large in size or extent.

• Unsuitable: It means not appropriate or not fitting for a particular purpose.

• Rare: It means not common or occurring infrequently.

Correct Answer: +, ÷, ×

Solution : Given:
(8 – 8) + 8 × 32 = 64

Let's check the options —

First option: ×, +, –
On replacing → (8 × 8) + 8 – 32 = 64
= (8 × 8) + 8 – 32
= 64 + 8 – 32
= 72 – 32
= 40 ≠ 64

Second option: –, ÷, +
On replacing → (8 – 8) ÷ 8 + 32 = 64
= (8 – 8) ÷ 8 + 32
= 0 ÷ 8 + 32
= 0 + 32
= 32 ≠ 64

Third option: +, ÷, +
On replacing → (8 + 8) ÷ 8 + 32 = 64
= (8 + 8) ÷ 8 + 32
= 16 ÷ 8 + 32
= 2 + 32
= 34 ≠ 64

Fourth option: +, ÷, ×
On replacing → (8 + 8) ÷ 8 × 32 = 64
= (8 + 8) ÷ 8 × 32
= 16 ÷ 8 × 32
= 2 × 32
= 64

Hence, the fourth option is correct.

Correct Answer: KQP

Solution : Let's check the options –
First option: HMS→S is the opposite letter of H; H + 5 = M
Second option: AFZ→Z is the opposite letter of A; A + 5 = F
Third option: KQP→P is the opposite letter of K; K + 6 = Q
Fourth option: DIW→W is the opposite letter of D; D + 5 = I

So, only the third option is different from the other three options as the difference between the place values of the first and second letters is 6 instead of 5. Hence, the third option is correct.

Correct Answer: Blemished

Solution : The first option is correct.

Explanation:
Impeccable means to describe something or someone without any flaws. Blemished means marked or spoiled by a flaw or by multiple flaws. It is clear that impeccable and blemished have opposite meanings.

The meanings of the other options are as follows:

• Unsullied means not tarnished or impure; clean, pure, and untainted.
• Flawless means perfect or without any imperfections; free from defects or blemishes.
• Exquisite means extremely beautiful, delicate, or finely crafted; possessing rare beauty or charm.

Therefore, the correct answer is blemished.

Correct Answer: CaO

Solution : The correct answer is CaO.

CaO is the chemical formula for quick lime. It is a solid with white crystals. It can be obtained through calcium carbonate's breakdown. Calcium Hydroxide is commonly referred to as slaked lime. Ca(OH)₂ is the chemical formula for slaked limes.

Correct Answer: 3, 4, 2, 1, 5

Solution : Given:
1. Weather 2. Weasand 3. Wealth 4. Weapon 5. Weekend

Step 1: Since all the words start with the same letter W, so move on to the next letter.
Step 2: The second letter of each word is the same, i.e., e. So, move on to the next letter.
Step 3: The third letter of each word is either e or a. The arrangement can be – (Weather, Weasand, Wealth, Weapon), and Weekend.
Step 4: Compare the fourth letter of (Weather, Weasand, Wealth, Weapon). Wealth will come before Weather, Weasand, and Weapon as l comes before t, s, and p according to the alphabetical system. Weapon will come before Weather, and Weasand as p comes before t, and s according to the alphabetical system. Similarly, Weasand will come before Weather as s comes before t according to the alphabetical system.

So, the sequence is Wealth, Weapon, Weasand, Weather, Weekend, or 3, 4, 2, 1, 5. Hence, the third option is correct.

Correct Answer: Profit 3.6%

Solution : Let the cost price be 100
Marked price at 40% = 140.
If the total number of articles (goods) is 100, then according to the question:
Selling price of the 60% goods at 10% discount = $60\times(\frac{90}{100}\times140)=7560$
Selling price of the remaining 40% goods at 50% discount = $40\times(\frac{50}{100}\times140)=2800$
Overall selling price = 7560 + 2800 = 10360
Profit percentage = $\frac{\text{selling price - cost price}}{\text{cost price}}\times100$
= $\frac{10360-10000}{10000}\times100$
= 3.6% profit
Hence, the correct answer is 3.6% profit.