Correct Answer: 64

Solution : Given: $(x–4)(x^2+4x+16)=x^3–p$
Formula: We know that $a^3–b^3=(a–b)(a^2+ab+b^2)$
Solution:
$x^3–p=(x–4)(x^2+4x+16)$
⇒ $x^3−p=(x^3−4^3)$
⇒ $p = 4^3$
So, $p = 64$.
Hence, the correct answer is 64.

Correct Answer: 560

Solution : Given: $(a+b+c)=20$ and $a^2+b^2+c^2=152$
We know the identity,
$(a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca$
$(a+b+c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)$
⇒ $20^2=152+2(ab + bc + ca)$
⇒ $ab + bc +

Correct Answer: Legislature 

Solution : Correct Answer is legislature

It is regarded as the custodian because it is frequently the sole arbiter of federal financial affairs. It holds the nation's purse and is in charge of the finances. The legislature must give its consent before the executive can borrow or

Correct Answer: 12

Solution : Let $(x–2),x$ and $(x+2)$ be the 3 consecutive even numbers.
⇒ Sum = $(x–2)+x+(x+2) = 3x$
Average of AP with an odd number of terms = middle term
⇒ Average = $x$
Since the sum of three consecutive even numbers is 28 more than the

Correct Answer: Tobacco

Solution : The correct answer is Tobacco.

The GST rate for all tobacco goods is 28%. The GSTC will suggest a date for the implementation of GST on five petroleum products (crude oil, petrol, diesel, ATF and natural gas). The Goods and Services Tax (GST) is

Correct Answer: Jammu and Kashmir

Solution : The correct option is Jammu & Kashmir.

Salal Hydroelectric Power Project is in the Indian state of Jammu & Kashmir. It's located on the Chenab River, which runs across northern India, including Jammu and Kashmir. The Salal Hydroelectric Power Project is one of

Correct Answer: 1

Solution : Given: $\sec^{2}\theta -\cot^{2}(90^\circ - \theta)$
$=\sec^{2}\theta- \tan^{2}\theta$
$=1$
Hence, the correct answer is 1.

Correct Answer: 6 

Solution : Given:
2, 2, 4, 6, ?, 10, 8, 14, 10 

Here,
Every alternate term starting from the first is a multiple of 2.

2 × 2 = 4; 2 × 3 = 6; 2 × 4 = 8; 2 × 5 = 10

Every

Correct Answer: Either data in statement I or statement II is sufficient to answer the question

Solution : Given: 
(I) K sits third to the left of M. Only one person sits between K and N. R sits to the immediate left of N.

From the final arrangement using statement

Correct Answer: ready leaving

Solution : The correct choice is the first option.

In place of the gerund form of the verb (leaving), the infinitive form of the verb (to leave) should be used because the infinitive form is used to show the purpose or intent of an action.

Therefore,