Quantitative Aptitude - Arithmetic Ability Questions

Q:

ΔXYZ is right angled at Y. If m∠X = 45°, then find the value of (cosecZ + √3/2).

 

A) (2√2+√3)/2 B) 5/6
C) (1+2√3)/2 D) (√2+1)/√2
 
Answer & Explanation Answer: A) (2√2+√3)/2

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Q:

If Sinx = 4/5, then 1 + Tan2x =

 

A) 9/25 B) 25/16
C) 4/25 D) 25/9
 
Answer & Explanation Answer: D) 25/9

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Q:

If x2 + kx + k = 0 has repeated roots, then the value of k will satisfy :

 

 

A) k<0 or k>4 B) k=4 only
C) 0<k<4 D) k=4 or k=0
 
Answer & Explanation Answer: D) k=4 or k=0

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Q:

On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?

A) Tuesday B) Saturday
C) Friday D) Sunday
 
Answer & Explanation Answer: D) Sunday

Explanation:

The year 2004 is a leap year. It has 2 odd days.

The day on 8th Feb, 2004 is 2 days before the day on 8th Feb, 2005.

Hence, this day is Sunday

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Q:

A shopkeeper offers the following 3 schemes. Which scheme has the maximum discount percentage?

I. Two successive discount of 20% and 25%

II. Buy 5 get 3 free

III. Buy 5 get 6

 

A) Only II B) Only I
C) Only I and II D) Only I and III
 
Answer & Explanation Answer: B) Only I

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Q:

ΔPQR is right angled at Q. If m∠P = 60 deg, then find the value of (cotR + √3/2).

 

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

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Q:

ΔDEF is right angled at E. If m∠F = 30 deg, then find the value of (cosD - 1/√2).

 

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

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Q:

Find the Odd One Out?

3 24 186 1008 5040 20160

A) 24 B) 20160
C) 186 D) 5040
 
Answer & Explanation Answer: C) 186

Explanation:

The given number series is 3  24  186  1008  5040  20160

Here  the given series follows a pattern that,

3

3 x 8 = 24

24 x 7 = 168 not 186

168 x 6 = 1008

1008 x 5 =  5040

5040 x 4 = 20160

 

Hence the Odd One in the number series is 186.

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