3100+ Mental Ability Reasoning Questions and Answers with Explanation

Q:

Find the quadratic equations whose roots are the reciprocals of the roots of $2 x^{2} + 5 x + 3$ ?

A) $3 x^{2} + 5 x + 2 = 0$

B) $5 x^{2} + 3 x + 2 = 0$

C) $3 x^{2} - 5 x - 2 = 0$

D) None

A) A	B) B
C) C	D) D

Answer & Explanation Answer: A) A

Explanation:

The quadratic equation whose roots are reciprocal of $2 x^{2} + 5 x + 3 = 0$ can be obtained by replacing x by 1/x.

Hence, 2(1/x)(1/x)+ 5(1/x) + 3 = 0

=> $3 x^{2} + 5 x + 2 = 0$

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Filed Under: Mathematical Operations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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78 32476

Q:

In what proportion would Raj, Karan and Altaf distribute profit among them ?

I. Raj gets two-fifth of the profit.

II. Karim and Altaf have made 75% of the total investment.

A) If the data in statement I alone are sufficient to answer the question	B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question;	D) If the data even in both the statements together are not sufficient to answer the question

Answer & Explanation Answer: D) If the data even in both the statements together are not sufficient to answer the question

Explanation:

Even both the statements together are not sufficient to answer the question.

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Filed Under: Data Sufficiency

31 32422

Q:

From the given alternatives, according to dictionary, which word will come at FOURTH position?

A) Candy	B) Candle
C) Camera	D) Cactus

Answer & Explanation Answer: B) Candle

Explanation:

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Filed Under: Logical Sequence of Words
Exam Prep: Bank Exams

2 32335

Q:

In the following question, select the related number from the given alternatives.

52 : 57 : : 46 : ?

A) 53	B) 49
C) 55	D) 51

Answer & Explanation Answer: D) 51

Explanation:

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Filed Under: Analogy
Exam Prep: Bank Exams

0 32299

Q:

What is Reena's rank in the class ?

I. There are 26 students in the class.

II. There are 9 students who have scored less than Reena.

A) If the data in statement I alone are sufficient to answer the question	B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question;	D) If the data in both the statements together are needed.

Answer & Explanation Answer: D) If the data in both the statements together are needed.

Explanation:

From I and II, we conclude that there are 16 students above Reyna in rank. Thus, Reenats rank is 17th in the class So, both the statements are necessary.

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Filed Under: Data Sufficiency

29 32261

Q:

In the following question, select the missing number from the given series.

131, 138, 145, 152, ?, 166

A) 161	B) 163
C) 157	D) 159

Answer & Explanation Answer: D) 159

Explanation:

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Filed Under: Number Series
Exam Prep: Bank Exams

2 32259

Q:

Pointing to a photograph, a lady tells Pramod, "I am the only daughter of this lady and her son is your maternal uncle." How is the speaker related to Pramod's father

A) Sister-in-law	B) Wife
C) Either (a) or (b)	D) Neither (a) nor (b)

Answer & Explanation Answer: B) Wife

Explanation:

Clearly, the speaker's brother is Pramod's maternal uncle. So, the speaker is Pramod's mother or his father's wife

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Filed Under: Blood Relations

145 32234

Q:

Study the following information carefully and answer the questions given below it.

1) There are 6 members in a family in which there are two married couples.

2) Sandhya, a lawyer, is married to the engineer and is mother of Charu and Suraj.

3) Bhuvanesh, the teacher, is married Aruna.

4) Aruna has one son and one grandson.

5) Of the two married ladies one is a housewife.

6) There is also one student and one male doctor in the family

How is Aruna related to Charu?

A) Sister	B) Mother
C) Grandfather	D) Grandmother

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