Correct Answer: 25 : 32

Solution : The average sales of English newspapers in localities B and D = $\frac{2000+3000}{2}$
= $\frac{5000}{2}$
= 2500
The average sale of Hindi newspapers in all the localities = $\frac{4000+2500+3600+2400+3500}{5}$
= $\frac{16000}{5}$
= 3200
The ratio of the average sales of English newspapers in

Correct Answer: 1

Solution : Given: $p^{3}-q^{3}=(p-q)[(p+q)^{2}–xpq]$
⇒ $p^{3}-q^{3}=(p-q)(p^{2}+q^{2}+2pq–xpq)$
⇒ $p^{3}-q^{3}=(p-q)(p^{2}+q^{2}+pq(2-x)$ ----(1)
We know the formula of $a^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})$
Comparing this with equation (1), we have:
⇒ $(2-x)=1$
⇒ $x=1$
Hence, the correct answer is 1.

Correct Answer: Zymase

Solution : The correct option is - Zymase

Zymase is a complex of enzymes found in yeast cells, and it plays a key role in the fermentation process that converts glucose (or other sugars) into ethanol (ethyl alcohol) and carbon dioxide.

Correct Answer: ESAGM

Solution : Given:
HABIT is written as ITAHB, and BASED is written as EDABS.

On reversing the letters of the word HABIT→TIBAH
Now, shuffle the position of the reversed letters→

So, HABIT is written as ITAHB.
On reversing the letters of the word BASED→DESAB
Now, shuffle the

Correct Answer: 45.92%

Solution : Given: The cost of a diamond is directly proportional to the square of its weight.
A 14-gram diamond costs Rs. 2,560.
The fractured diamond pieces to total ratio is 5 : 9.
Let the diamond's cost be $k\times (weight)^2$.
⇒ $2560=k\times (14)^2$
⇒ $k=\frac{2560}{196}=13.06$
When

Correct Answer: He proposed that they should wait for the award.

Solution : The correct choice is the first option.

The transformation to indirect speech is as follows:

• The reporting verb "said" changes to "proposed that" to introduce the reported speech.
• The pronoun "us" changes to "they" to reflect

Correct Answer: 56

Solution : Given:
3, 8, 15, 26, 39, ?

Add consecutive prime numbers (starting from 5) to each number in the given series to get the next number of the series.
3 + 5 = 8; 8 + 7 = 15; 15 + 11 = 26; 26

Correct Answer: 6272

Solution : Let the two numbers be a and b.
Given, $a^3+b^3=9728$ and $a+b=32$
Now, $a^3+b^3=9728$
⇒ $(a+b)^3–3ab(a+b)=9728$
⇒ $32^3–3ab(32)=9728$
⇒ $96ab=32768–9728$
⇒ $ab=240$
⇒ $(a–b)^2=(a+b)^2–4ab=32^2–4(240)=64$
⇒ $a–b=8$
So, $a^3–b^3=(a–b)^3+3ab(a–b)=8^3+3(240)(8)=512+5760=6272$
Hence, the correct answer is 6272.

Correct Answer: He instructed his brother to pack his bags and leave then.

Solution : The second option is the correct choice.

The given sentence is a direct speech. The basic steps for changing or converting direct speech into indirect speech are:

• The reporting verb "said" is changed to "instructed",

Correct Answer: 44 sec

Solution : 2 cases will be formed in this situation.
Case 1:
Vehicle P gives vehicle Q a start of 200 m, and P wins the race by 8 sec.
⇒ Distance traveled by P = 1500 m
And, Distance travel by Q = 1500 –