Quantitative Aptitude - Arithmetic Ability Questions

Q:

Given that (a2 + b2) = 60, then find the value of (a + b)2 + (a - b)2 ?

 

A) 90 B) 120
C) 140 D) 150
 
Answer & Explanation Answer: B) 120

Explanation:
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Q:

∆ABC is right angled at B. If cosA = 8/17, then what is the value of cotC ?

 

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

Explanation:
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Filed Under: Area
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Q:

If 75% of a number is added to 75, then the result is the number itself. The number is :

A) 100 B) 200
C) 300 D) 400
 
Answer & Explanation Answer: C) 300

Explanation:

Let the number be x, Then 

75% of x + 75 = x 

=> x - 75x/100 =75 

=> x =  300 .

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Filed Under: Percentage

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Q:

An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

A) 360 B) 180
C) 90 D) 60
 
Answer & Explanation Answer: B) 180

Explanation:

Angle traced by the hour hand in 6 hours=(360/12)*6

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Q:

Find the odd one out of the floowing number series?

270, 261, 279, 252, 289, 243

A) 270 B) 279
C) 289 D) 243
 
Answer & Explanation Answer: C) 289

Explanation:

Here the given number series is 270, 261, 279, 252, 289, 243

270 - 9 = 261

261 + 18 = 279

279 - 27 = 252

252 + 36 = 288 (not equals to 289)

288 - 45 = 243

 

Hence, the odd number in the given number series is 289.

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Q:

Which of the following statement(s) is/are TRUE?

 

I . 11×3+13×5+15×7+...+111×13 = 1213

II. 11×2+12×3+13×4+...+112×13 = 1213

A) Only I B) Only II
C) Both I and II D) Neither I nor II
 
Answer & Explanation Answer: B) Only II

Explanation:
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Q:

If log 27 = 1.431, then the value of log 9 is

A) 0.754 B) 0.854
C) 0.954 D) 0.654
 
Answer & Explanation Answer: C) 0.954

Explanation:

log 27 = 1.431
log33 = 1.431
3 log 3 = 1.431
log 3 = 0.477
log 9 = log(32)= 2 log 3 = (2 x 0.477) = 0.954

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Filed Under: Logarithms
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Q:

Find the next number in the following number series?

11, 13, 30, 96, ?

A) 264 B) 392
C) 412 D) 459
 
Answer & Explanation Answer: B) 392

Explanation:

The given number series 11, 13, 30, 96, ? follows a pattern that,

11

11 x 1 + 2 = 13

13 x 2 + 4 = 30

30 x 3 + 6 = 96

96 x 4 + 8 = 392

 

Hence, the next number in the given series is 392.

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Filed Under: Odd Man Out
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