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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a

king of heart is:

A) 2/13 B) 1/13
C) 1/26 D) 1/52
 
Answer & Explanation Answer: C) 1/26

Explanation:

Here, n(S) = 52.

Let E = event of getting a queen of club or a king of heart.

Then, n(E) = 2.

P(E) =n(E)/n(S)=2/52=1/26.

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Filed Under: Probability

7 42740
Q:

ΔXYZ is right angled at Y. If m∠Z = 30°, then find the value of (sinX - 3/√2).

 

A) (√6-6)/2√2 B) (√2-√3)/√6
C) -1/2 D) (1-2√3)/2
 
Answer & Explanation Answer: A) (√6-6)/2√2

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 42731
Q:

The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750 sq.m. The length of the hall is

A) 20 B) 25
C) 30 D) 35
 
Answer & Explanation Answer: C) 30

Explanation:

Let breadth = x m

 

Then, length = (x+5)m

 

Area of a rectangle = Length x Breadth

 

x(x+5) = 750 

 

x² + 5x - 750= 0

 

(x+30)(x-25)= 0

 

x = 25 or x = -30

 

Hence, breadth x = 25m

 

=> Length = x + 5 = 25 + 5 = 30m. 

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

72 42661
Q:

Solve the following

 

23 - [23 - {23 - (23 - 23 + 23)}]

 

A) -1 B) 23
C) 1 D) 0
 
Answer & Explanation Answer: D) 0

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 42661
Q:

At what time between 5.30 and 6 will the hands of a clock be at right angles?

A) (43 + 5/11) min past 5 B) (43 + 7/11) min pats 5
C) 5 D) 7
 
Answer & Explanation Answer: B) (43 + 7/11) min pats 5

Explanation:

At 5 o'clock, the hands are 25 min. spaces apart.
To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.

 

55 min. spaces are gained in 60 min

 

40 min. spaces are gained in 6055×40 min  

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

73 42653
Q:

A wire can be bent in the form of a circle of radius 56cm. If it is bent in the form of a square, then its area will be

A) 7744 B) 8844
C) 5544 D) 4444
 
Answer & Explanation Answer: A) 7744

Explanation:

length of wire = 2πr= 2 x (22/7 ) x 56 = 352 cm
side of the square = 352/4 = 88cm
area of the square = 88 x 88 = 7744sq cm

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Filed Under: Area
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Job Role: Bank PO

77 42598
Q:

ΔABC is right angled at B. If cotA = 8/15, then what is the value of cosC ?

 

A) 15/8   B) 8/17  
C) 17/15   D) 15/17
 
Answer & Explanation Answer: D) 15/17

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 42593
Q:

A room of 5m 44cm long and 3m 74cm broad is to be paved with squre tiles. Find the least number of squre tiles required to cover the floor.

A) 136 B) 146
C) 166 D) 176
 
Answer & Explanation Answer: D) 176

Explanation:

area of the room = 544 x 374 sq.cm

size of largest square tile = H.C.F of 544cm and 374 cm= 34 cm

area of 1 tile = 34x34 sq cm

no. of tiles required = (544 x 374) / (34 x 34) = 176

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

62 42577