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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A committee of 5 persons is to be formed from 6 men and 4 women. In how many ways can this be done when at least 2 women are included ?

A) 196 B) 186
C) 190 D) 200
 
Answer & Explanation Answer: B) 186

Explanation:

When at least 2 women are included.

 

The committee may consist of 3 women, 2 men : It can be done in  4C3*6C2  ways

 

or, 4 women, 1 man : It can be done in  4C4*6C1ways

 

or, 2 women, 3 men : It can be done in 4C2*6C3 ways.

 

Total number of ways of forming the committees

 

= 4C2*6C3+4C3*6C2+4C4*6C1

 

= 6 x 20 + 4 x 15 + 1x 6

 

= 120 + 60 + 6 =186

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Filed Under: Permutations and Combinations

88 64337
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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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

190 64042
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

264 64018
Q:

405 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child recieve ?

A) 9 B) 10
C) 11 D) 12
 
Answer & Explanation Answer: A) 9

Explanation:

Let the total number of children be x. 

Then, x * (20% of x) = 405  

=> x * 20x/100 = 405 

15x2 = 405 

 

=> x=45 

 

Number of sweets received by each child = 20% of 45 = 9.

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Filed Under: Percentage

294 63892
Q:

A mixture contains alcohol and water in the ratio 4 : 3. If 5 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.

A) 10 B) 12
C) 15 D) 18
 
Answer & Explanation Answer: A) 10

Explanation:

Let the quantity of alcohol and water be 4x litres and 3x litres respectively

 

4x/(3x+5) = 4/5 

 

20x = 4(3x+5)

 

8x = 20

 

x = 2.5

 

Quantity of alcohol = (4 x 2.5) litres = 10 litres.

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Filed Under: Ratios and Proportions

340 63856
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
Exam Prep: Bank Exams
Job Role: Bank PO

129 63325
Q:

Find out the wrong number in the series.

7, 8, 18, 57, 228, 1165, 6996

A) 8 B) 18
C) 57 D) 228
 
Answer & Explanation Answer: D) 228

Explanation:

Let the given numbers be A, B, C, D, E, F, G.

Then, A, A x 1 + 1, B x 2 + 2, C x 3 + 3, D x 4 + 4, E x 5 + 5, F x 6 + 6 are the required numbers.

Clearly, 228 is wrong.

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Filed Under: Odd Man Out

34 63128
Q:

311, 230, 294, ?, 281, 256

 

What will come in place of the question mark (?) in the above number series?

A) 240 B) 245
C) 244 D) 246
 
Answer & Explanation Answer: B) 245

Explanation:

Given 311   230   294   ?   281   256

 

311 - (9x9) = 230

 

230 + (8x8) = 294

 

294 - (7x7) = 245

 

245 + (6x6) = 281

 

281 - (5x5) = 256

 

Hence, the missing number in the given series is 245.

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

8 62177