Aptitude and Reasoning Questions

Q:

A vessel, full of water, weighs 24 kg. When the vessel is 1/4 full, it weighs 9 kg. Find the weight of empty vessel.

A) 4 kg B) 5 kg
C) 8 kg D) 3 kg
 
Answer & Explanation Answer: A) 4 kg

Explanation:

Let the weight of vessel be x
Weight of water = 24 – x
⇒ (24 – x)/4 + x = 9
⇒ 24 – x + 4x = 36
⇒ 3x = 12
⇒ x = 4 kg

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

4 3204
Q:

What is 7 + 7 ÷ 7 + 7 × 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 3204
Q:

In PQR, straight line parallel to the base QR cuts PQ at X and PR at Y. If PX:XQ = 5:6, then the XY:QR will be

A) 5:11 B) 6:5
C) 11:6 D) 11:5
 
Answer & Explanation Answer: A) 5:11

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams
Job Role: Bank Clerk

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)2
In 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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38 3202
Q:

In a certain code language, "SELDOM" is written as "NPEMFT". Howis "SACRIFICE" written in that code language?

A) FDJGJDSBT B) FDJGJSDBT
C) FDJSJGTBD D) FGDJGDSBT
 
Answer & Explanation Answer: B) FDJGJSDBT

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

1 3201
Q:

a2 + b2 + c2 -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 

a2 + b2 + c2 -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 

a2 + b2 + c2 -ab- bc - ca = 0 iff  a = b = c.

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Filed Under: Arithmetical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT
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4 3200
Q:

Select a suitable figure from the four alternatives that would complete the figure matrix.

11484715453.png image

A) 4 B) 3
C) 2 D) 1
 
Answer & Explanation Answer: B) 3

Explanation:

In each row, the third figure is a collection of the common elements (line segments) of the first and the second figures.

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Filed Under: Figure Matrix
Exam Prep: AIEEE , Bank Exams , CAT
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10 3200
Q:

Is Cube a polygon?

A) TRUE B) FALSE
Answer & Explanation Answer: B) FALSE

Explanation:

False. Cube is not a Polygon.


Because polygon is a two dimensional figure and can be drawn on a flat surface whereas Cube is three dimensional figure and cannot be drawn on a flat surface.

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