Aptitude and Reasoning Questions

Q:

In the question below consists of a question and two statements numbered a and b given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the answer.

Question: How is Vinitha related to Ragini ?
Statements:
a. Vinitha's husband is the only son of Ragini's mother.
b. Vinitha's brother and Ragini's husband are cousins.

A) Neither a nor b is sufficient B) Either a or b is sufficient
C) Both a & b are sufficient D) a alone is sufficient while b alone is not sufficient
 
Answer & Explanation Answer: B) Either a or b is sufficient

Explanation:

From a, we conclude that Vinitha is the wife of Ragini's mother's only son i.e. Ragini's brother. Thus, Vinitha is Ragini's sister-in-law.

From b, we conclude that Vinitha is the cousin of Ragini's husband, which implies that Vinitha is Ragini's sister-in-law.

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Filed Under: Statement and Conclusions
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Q:

How many 4-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

A) 60 B) 48
C) 36 D) 20
 
Answer & Explanation Answer: A) 60

Explanation:

Here given the required digit number is 4 digit.

It must be divisible by 5. Hence, the unit's digit in the required 4 digit number must be 0 or 5. But here only 5 is available.

x x x 5

The remaining places can be filled by remaining digits as 5 x 4 x 3 ways.

 

Hence, number 4-digit numbers can be formed are 5 x 4 x 3 = 20 x 3 = 60.

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Filed Under: Permutations and Combinations
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Q:

Determine the nominal rate of interest if:
The periodic rate is 1.75% per quarter.

A) 7% B) 8%
C) 9% D) 10%
 
Answer & Explanation Answer: A) 7%

Explanation:

j=mi

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Filed Under: Compound Interest
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3 3766
Q:

How many prime numbers exist in 65×359×113 ?

A) 29 B) 31
C) 33 D) 27
 
Answer & Explanation Answer: B) 31

Explanation:

Given  65×359×113

2×35×5×79×113 

25×35×59×79×113

Thus, there are (5 + 5 + 9 + 9 + 3)= 31 prime numbers.

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Filed Under: Numbers
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5 3763
Q:

Solve this inequality 3p - 16 < 20?

A) p >= 12 B) p <= 11/3
C) p < 12 D) p > 11/3
 
Answer & Explanation Answer: C) p < 12

Explanation:

The given inequality is 3p - 16 < 20

For solving this inequality, follow these steps

Now add 16 on both sides

we get 3p - 16 + 16 < 20 + 16

=> 3p  < 36

Now divide the above eqn with 3 on both sides

we get, 3p/3 < 36/3

p < 12.

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Filed Under: Simplification
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Q:

A natural number when increased by 12 equals 160 times its reciprocal. Find the number?

A) 20 B) 12
C) 8 D) 4
 
Answer & Explanation Answer: C) 8

Explanation:

Let the required number be 'p'.

From the given data,

p + 12 = 160 x 1/p

=> p + 12 = 160/p

=> p(p + 12) = 160

=> P^2 + 12p - 160 = 0

=> p^2 + 20p - 8p - 160 = 0

=> P(p + 20) - 8(p + 20) = 0

=> (p + 20)(p - 8) = 0

=> p = -20 or p = 8

As, given the number is a natural number, so it can't be negative.

Hence, the required number p = 8.

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Filed Under: Problems on Numbers
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4 3760
Q:

Three of the following four are alike in a certain way and hence form a group. Which is the one that does not belong to that group?

A) Rice B) Wheat
C) Barley D) Mustard
 
Answer & Explanation Answer: D) Mustard

Explanation:

Except Mustard each belongs to the same categeory, viz foodgrains. Mustard is an oilseed.

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Filed Under: Classification

11 3760
Q:

The costs of daily ticket of local train is Rs 160 and Monthly Pass costs Rs 2912. If I buy the Monthly Pass and travel for 26 days in a month then I save?

A) 25 percent B) 22 percent
C) 18 percent D) 30 percent
 
Answer & Explanation Answer: D) 30 percent

Explanation:
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Filed Under: Percentage
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