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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

What is the value of (cosec60 - 1/2) ?

 

A) (4-√3)/2√3   B) (2√3-1)/√3  
C) (3√3-1)/3   D) 1/√3
 
Answer & Explanation Answer: A) (4-√3)/2√3  

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 51142
Q:

If sec θ + tan θ = 2, then sec θ - tan θ = ?

 

A) 0.5 B) 1.5
C) 1 D) 0.75
 
Answer & Explanation Answer: A) 0.5

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 51115
Q:

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

I. 12>163>244II. 253>324>486III. 94>153>246

A) Only I and II B) Only I and III
C) Only I D) All are true.
 
Answer & Explanation Answer: A) Only I and II

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 51041
Q:

Find the approximate value of ? in (14.998)3 = ?

 

A) 3573 B) 4096
C) 3378 D) 3374
 
Answer & Explanation Answer: D) 3374

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

3 51024
Q:

Find the next number in the given number series?

11, 5.5, 10, 6.5, 9, ?

A) 6.5 B) 7.5
C) 8.5 D) 10.5
 
Answer & Explanation Answer: B) 7.5

Explanation:

The given number series follows a pattern that

11

11 - 5.5 = 5.5

5.5 + 4.5 = 10

10 - 3.5 = 6.5

6.5 + 2.5 = 9

9 - 1.5 = 7.5

 

Hence, the next number in the given number series is 7.5.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

2 50905
Q:

In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

A) 360 B) 700
C) 720 D) 120
 
Answer & Explanation Answer: C) 720

Explanation:

The word 'OPTICAL' contains 7 different letters.

When the vowels OIA are always together, they can be supposed to form one letter.

Then, we have to arrange the letters PTCL (OIA).

Now, 5 letters can be arranged in 5! = 120 ways.

The vowels (OIA) can be arranged among themselves in 3! = 6 ways.

Required number of ways = (120 x 6) = 720.

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Filed Under: Permutations and Combinations

51 50889
Q:

A number is decreased by 10% and then increased by 10%.  The number so obtained is 10 less than the original number. What was the oiginal number ? 

A) 1000 B) 2000
C) 3000 D) 4000
 
Answer & Explanation Answer: A) 1000

Explanation:

Let the original number be x.

 

Final number obtained = 110% of (90% of x) =(110/100 * 90/100 * x) = (99/100)x. 

 

x-(99/100)x=10

=> x =1000

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Filed Under: Percentage

141 50856
Q:

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 cu.m , then the rise in the water level in the tank will be:

A) 20 cm B) 25 cm
C) 35 cm D) 50 cm
 
Answer & Explanation Answer: B) 25 cm

Explanation:

Total volume of water displaced =(4 x 50) cu.m = 200 cu.m

 

Rise in water level = 20040×20=0.25m = 25cm

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Filed Under: Volume and Surface Area

64 50854