3100+ Mental Ability Reasoning Questions and Answers with Explanation

Q:

A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.

PMA, RPE, TSI, VVM, ?

A) YZR	B) VWO
C) XYQ	D) ACS

Answer & Explanation Answer: C) XYQ

Explanation:

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Filed Under: Alphabet Test
Exam Prep: Bank Exams

1 3203

Q:

In the following question, a matrix of certain characters is given.These characters follow a certain trend, row-wise or column wise.Find out this trend and choose the missing character accordingly.

13	12	5
17	15	8
25	24	?
29	21	20

A) 7	B) 9
C) 11	D) 15

Answer & Explanation Answer: A) 7

Explanation:

Clearly, (3rd column)² + (2nd column)² = (1st column)²In the first row, 5² + 12² = 13².
In the second row, 8² + 15² = 17².
Let the missing number in the third row be y.
Then y² + 24² = 25² or y² + 576 = 625 or y² = 49 or y = 7.

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Filed Under: Inserting The Missing Character

38 3193

Q:

Find the missing term in the letter series. BGL, DIN, ___, HMR

A) FKP	B) FPK
C) GLQ	D) EJO

Answer & Explanation Answer: A) FKP

Explanation:

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Filed Under: Logical Sequence of Words

6 3188

Q:

In the following question, a matrix of certain characters is given.These characters follow a certain trend, row-wise or column wise.Find out this trend and choose the missing character accordingly.

5	6	7
3	4	5
9	10	11
345	460	?

A) 535	B) 577
C) 755	D) 775

Answer & Explanation Answer: B) 577

Explanation:

In the first column, 3 x 100 + 5 x 9 = 345.
In the second column, 4 x 100 + 6 x 10 = 460.
.'. In the third column, missing number = 5 x 100 + 7 x 11 = 577.

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Filed Under: Inserting The Missing Character

51 3185

Q:

$If 18 ∆ 4 = 11, 16 ∆ 8 = 12 and 6 ∆ 12 = 9, then find the value of 18 ∆ 14 = ?$

A) 16	B) 12
C) 4	D) 20

Answer & Explanation Answer: A) 16

Explanation:

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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

5 3182

Q:

What is $7 + 7 \div 7 + 7 \times 7 - 7 =$

A) 0	B) 42
C) 50	D) 57

Answer & Explanation Answer: C) 50

Explanation:

Given 7 + 7/7 + 7 x 7 - 7

By using BODMAS rule,

7 + 1 + 7 x 7 - 7

= 8 + 49 - 7

= 57 - 7

= 50.

Hence 7 + 7/7 + 7 x 7 - 7 = 50.

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Filed Under: Mathematical Operations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

20 3179

Q:

$a^{2} + b^{2} + c^{2} - ab - bc - ca = 0, iff$

A) abc = -1	B) a = b = c
C) abc = 1	D) abc = 0

Answer & Explanation Answer: B) a = b = c

Explanation:

Here given formula is

$a^{2} + b^{2} + c^{2} - ab - bc - ca = 0$

and it is possible if and only if a = b = c.

From the trial and error method,

1) Let a = b = c = 1

Now substitute these values of a, b, c in the above formula.

We get 1 + 1 + 1 - 1 - 1 - 1 = 3 - 3 = 0

2) Now, let a = b = c = 4

Now substitute these values of a, b, c in the above formula.

We get 16 + 16 + 16 - 16 - 16 - 16 = 48 - 48 = 0.

Hence, it is possible that

$a^{2} + b^{2} + c^{2} - ab - bc - ca = 0 iff a = b = c.$

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Filed Under: Arithmetical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

4 3163

Q:

If E=5, PEN=35, then PAGE=?

A) 27	B) 28
C) 29	D) 30

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