Aptitude and Reasoning Questions

Q:

If a--b = 4 and ab = 45, find the value of a3 - b3

A) 604 B) 370
C) 253 D) 199
 
Answer & Explanation Answer: A) 604

Explanation:

(a  b)2 = a2 + b2 -2ab  16 = a2 + b2  90  a2 + b2 = 106 a3  b3 = (a  b) (a2 + b2 + ab)  a3  b3 = 4 X (106 + 45)  a3  b3 = 4 X 151  a3  b3 = 604

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Filed Under: Simplification
Exam Prep: Bank Exams

0 2028
Q:

The area and the length of one of the diagonals of a rhombus is 84 cm² and 7 cm respectively. Find the length of its other diagonal (in cm).

A) 12 B) 24
C) 48 D) 36
 
Answer & Explanation Answer: B) 24

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

1 2028
Q:

Aptitude tests are designed to measure

A) General reasoning B) Perceptual speed
C) Verbal comprehension D) All of the above
 
Answer & Explanation Answer: D) All of the above

Explanation:

Aptitude tests measures an individual's level of competency to perform a certain type of task and their mental and physical potentials in dealing different situations. These tests include General reasoning, Verbal comprehension, Perceptual speed and numerical operations.

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

8 2028
Q:

Triangle ABC as shown in figure has line XY parallel to the BC and the line BY is the bisector of angle XYC. Which of the following option is correct?

A) BC=XY B) BC=YC
C) BC=BY D) XY=BX
 
Answer & Explanation Answer: B) BC=YC

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 2027
Q:

In the given figure, in triangle STU, ST = 8 cm,TU = 9 cm and SU = 12 cm. QU = 24 cm, SR = 32 cm and PT = 27 cm. What is the ratio of the area of triangle PQU and area of triangle PTR?

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

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

1 2027
Q:

The marked price of an article is Rs. 5000. But due to a special festive offer a certain percent of discount is declared. Mr. X availed this oppurtunity and bought the article at reduced price. He then sold it at Rs. 5000 and thereby made a profit of 11 1/9%. The percentage of discount allowed was?

A) 10 B) 10/3
C) 15/2 D) 100/9
 
Answer & Explanation Answer: A) 10

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

4 2027
Q:

The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.
What is the surface area of the cuboid?

A) 288 sq.cm B) 216 sq.cm
C) 144 sq.cm D) Cannot be determined due to insufficient data
 
Answer & Explanation Answer: A) 288 sq.cm

Explanation:
Let lengths, breadth and height of cuboid be l, b and h respectively
According to question
l+b+h = 22cm......(i)
and
√(l^2+b^2+h^2) = 14cm .....(ii)
Surface area of cuboid = 2(lb+bh+lh)
Squaring eq (i) gives
l2+b2+h2+ 2(lb+bh+lh) = 484
Substituting l^2+b^2+h^2 from eq (i)
2(lb+bh+lh) = 484 -196 = 288 sq.cm
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 2027
Q:

If '÷' stands for subtraction,'-' stands for addition,'x' stands for division and '+' stands for multiplication, then which one of the following equation is correct?

A) 35 ÷ 4 - 25 x 5 + 5 = 28 B) 35 ÷ 4 - 25 x 5 + 5 = 61
C) 35 ÷ 4 - 25 x 5 + 5 = 41 D) 35 ÷ 4 - 25 x 5 + 5 = 56
 
Answer & Explanation Answer: D) 35 ÷ 4 - 25 x 5 + 5 = 56

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

4 2027