On a certain amount at the rate of 12% per annum for 1 year and 6 months the compound interest is Rs. 468. What will be the principal amount?

## Answer

Correct Answer : a ) Rs. 2500

Explanation :**Quick Approach**

Given:

Considering the rate, we should assume the principal to be such that it will get completely divided by rate.

So,

Let us assume the principal amount to be 625

Then,

So, from the figure we can say for principal interest to be 625, 1st year CI will be 75 and 2nd year CI will be 84.

Thus,

CI for 6 months will be 84/2 =42

Thus, total CI will be 75 + 42 = 117

Now, for the principal of 625, CI will be 117

Then, for CI of 468 principal would be = Rs. 2500

Hence, (a) is the correct answer.

**Basic Approach**

Given:

Compound interest (CI) for 1 year is equal to simple interest (SI) for 1 year.

Now, CI for 2nd year will be the sum of CI for 1 year and 12% of CI for 1 year

Thus,

As, we have to calculate the SI of 1year and 6 months thus, we will take half of the compound interest for 2nd year

So,

According to the question, compound interest for 1 year 6 months is equal to Rs. 438

So,

P = Rs. 2500

Hence, **(a)** is the correct answer.

Questions on Simple Interest and Compound Interest are asked in the Quantitative Aptitude section of various government exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, IBPS PO, IBPS SO, IBPS CLERK, RRB JE, RRB NTPC, RRB GROUP D, etc. Try and attempt free mock tests at PendulumEdu and learn easy and quick methods to solve such questions. One can also clear all exam related doubts through PendulumEdu’s one-to-one session.

**Directions: In the following question, a sentence has been given in Active/ Passive voice. Out of the four alternatives suggested, select the one which best expresses the same sentence in Passive/ Active voice.**

He was singing a beautiful song for his mother.

## Answer

Correct Answer : a ) A beautiful song was being sung by him for his mother.

Explanation :The given sentence is in the active voice. Let us understand the two voices before we answer the question:

- Active Voice: the subject performs the action expressed by the verb.
- Passive Voice: the subject receives the action expressed by the verb.

When converting a sentence from active to passive voice, the following rules are used:

- The places of subject and object are interchanged.
- The third form of the verb, i.e. past participle, is always used as main verb in the sentences of passive voice.
- Auxiliary verbs are used in the passive voice as per the tense of the sentence.
- The word "by" is usually introduced before the subject.

In the above sentence, the subject is, “he”, the verb is, “was singing” and the object is, “his mother”.

Therefore, the correct sentence would be – “A beautiful song was being sung by him for his mother.”

Hence, (**A**) is the correct answer.

This question is asked in various competitive exams, including SSC CGL, SSC CHSL, SSC MTS, SBI PO, SBI CLERK, etc.. In order to understand how to solve this kind of question, one needs to regularly practice and keep oneself updated. PendulumEdu offers a variety of mock tests for you to up your skills to excel in these exams.

If the 7^{th} term of an arithmetic progression is 7 and 11^{th} term of the same arithmetic progression is 21 then, what will be the 15^{th} term of the progression?

## Answer

Correct Answer : a ) 35

Explanation :For arithmetic progression, any n^{th} term is identified as

a_{n}=a+(n-1)*d

Where, a = 1^{st} term of the progression

a_{n} = n^{th} term of the progression

d = is the common difference

According to the question,

7^{th} term of the arithmetic progression is 7

So, a_{7} = a + 6d = 7…….. (I)

11^{th} term of the arithmetic progression is 21

So, a_{11} = a + 10d = 21……… (II)

Solving equation (I) and (II) for a and d, we get

a = – 14 and d=7/2

Thus, 15^{th} term of the progression will be

a_{15} = a + 14d

a_{15}=-14+14*(7/2)=35

Hence, (**A**) is the correct answer.

Such type of question is asked in the Quantitative Aptitude section of various government exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC, RRB GROUP D, etc. Try and attempt free mock tests at PendulumEdu and learn easy and quick methods to solve such questions. One can also clear all exam related doubts through PendulumEdu’s one-to-one session.