5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

Simplify the following :

$\frac{37^{3} + 35^{3} + 28^{3} - 3 x 37 x 35 x 28}{37^{2} + 35^{2} + 28^{2} - 37 x 35 - 35 x 28 - 37 x 28}$ ?

A) 100	B) 1
C) 4	D) 0

Answer & Explanation Answer: A) 100

Explanation:

Given $\frac{37^{3} + 35^{3} + 28^{3} - 3 x 37 x 35 x 28}{37^{2} + 35^{2} + 28^{2} - 37 x 35 - 35 x 28 - 37 x 28}$

It is in the form of

$\frac{a^{3} + b^{3} + c^{3} - 3 a b c}{a^{2} + b^{2} + c^{2} - a b - b c - c a}$ = a + b + c

Here a = 37, b = 35 & c = 28

=> a + b + c = 37 + 35 + 28 = 100

Therefore, $\frac{(37)^{3}+(35)^{3}+(28)^{3}-3x37x35x28}{(37)^{2}+(35)^{2}+(28)^{2}-37x35-35x28-37x28}$ = 100

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Filed Under: Simplification
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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26 198165

Q:

Find the wrong number in the series.

1, 2, 6, 15, 31, 56, 91

A) 31	B) 15
C) 56	D) 91

Answer & Explanation Answer: D) 91

Explanation:

The difference of the two consecutive numbers are 1, 4, 9, 16, 25, 35.

This is clearly , $+ (1^{2}), + (2^{2}), + (3^{2}), + (4^{2}), + (5^{2}), + (6^{2})$

Here 35 is wrong, So our wrong number is 91

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Filed Under: Number Series

662 196134

Q:

B M N G O P C Q R H S T F L U V W X Y A K Z D I E J

Counting from left if it is possible to make a meaningful word from the third and fifth letters from left, using each at least twice and third letter from right in sequence, only once , write the first letter of the word as your answer. If more than one such word can be formed write "M" as your answer, and if no word can be formed write 'X' as your answer.

A) M	B) X
C) O	D) I

Answer & Explanation Answer: C) O

Explanation:

Specified letters from the left are N and O , and the letter from the right is I.

With these letters , according to the conditions given in the question , one Word ONION can be formed. Clearly , first letter of this word is O.

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Filed Under: Alphabet Test

175 195536

Q:

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

If the first five letters of English alphabet are reversed , so are the next five and so on and last letter is left unchanged then what will be 2nd letter to the left of 17th letter from the right?

A) S	B) G
C) H	D) R

Answer & Explanation Answer: C) H

Explanation:

2nd letter to the left of 17th letter from the right means (2 + 17 = ) 19th letter from the right = (26 - 19 + 1 =) 8th letter from the left end , i.e H. Thus, 8th letter falls into the second section of the reversed sequence. Now, the sequence FGHIJ is reversed and becomes JIHGF. Clearly, position of H remains unchanged. Hence the required letter is H.

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Filed Under: Alphabet Test

36 194941

Q:

Insert the missing number.

16, 33, 65, 131, 261, (....)

A) 523	B) 521
C) 613	D) 721

Answer & Explanation Answer: A) 523

Explanation:

Each number is twice the preceding one with 1 added or subtracted alternatively.

So, the next number is (2 x 261 + 1) = 523.

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Filed Under: Odd Man Out

45 190823

Q:

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z.

Which letter is in the middle of 13th letter from the left and 4th letter from the right?

A) R	B) I
C) J	D) S

Answer & Explanation Answer: A) R

Explanation:

Find out the positions of both the letters from the left and divide the sum of the positions of both the letters from the left by 2. Here 13+23=36. Now divide 36 by 2 , i.e 18. Hence R is the required letter.

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Filed Under: Alphabet Test

192 186925

Q:

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

A) 2:5	B) 3:5
C) 4:5	D) 5:4

Answer & Explanation Answer: C) 4:5

Explanation:

Let the third number be x.

Then, first number = 120% of x =120x/100 = 6x/5

Second number =150% of x = 150x/100 = 3x/2

Ratio of first two numbers = 6x/5 : 3x/2 = 12x : 15x = 4 : 5

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Filed Under: Ratios and Proportions

627 186858

Q:

A E C B % 7 D $ E B 5 C ? 3 D E 9 @ 2 #

If all the vowels are dropped from the above arrangement which of the following will be the twelth from the left end of the above arrangement?

A) 3	B) @
C) D	D) 9

Answer & Explanation Answer: C) D

Explanation:

After dropping vowels we have the following arrangement:

C B % 7 D $ B 5 C ? 3 D 9 @ 2 #

Hence, D is twelth from the left end of the above arrangement.

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Filed Under: Alphabet Test

46 183028

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