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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The length of a diagonal in cm of a rectangle of length 9 cm and width 5 cm is

 

A) 106 B) ±106
C) 2√14 D) ±214
 
Answer & Explanation Answer: A) 106

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

1 36587
Q:

Which of the following fractions is greater than  3 /4 and less than 5 / 6 ?

A) 3 / 5 B) 4 / 5
C) 7 / 5 D) 9 / 5
 
Answer & Explanation Answer: B) 4 / 5

Explanation:

3 /4 = 0.75, 5/6 = 0.833, 1/2 = .5, 2/3 = 0.66, 4/5 = 0.8, 9/10 = 0.9.

clearly 0.8 lies between 0.75 and .833.

4/5 lies between 3/4 and 5/6..

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Filed Under: Decimal Fractions

56 36585
Q:

The Indian Cricket team consists of 16 players. It includes 2 wicket keepers and 5 bowlers. In how many ways can a cricket eleven be selected if we have to select 1 wicket keeper and atleast 4 bowlers?

A) 1024 B) 1900
C) 2000 D) 1092
 
Answer & Explanation Answer: D) 1092

Explanation:

We are to choose 11 players including 1 wicket keeper and 4 bowlers  or, 1 wicket keeper and 5 bowlers.

 

Number of ways of selecting 1 wicket keeper, 4 bowlers and 6 other players in 2C1*5C4*9C6 = 840

 

Number of ways of selecting 1 wicket keeper, 5 bowlers and 5 other players in 2C1*5C5*9C5 =252

 

Total number of ways of selecting the team = 840 + 252 = 1092

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Filed Under: Permutations and Combinations

35 36529
Q:

Consider the figure shown below and choose the correct option for the ratio of PA:PB.

 

A) r1 : r2 (internal) B) r1 : r2 (external)
C) r2 : r1 (internal) D) r2 : r1 (external)
 
Answer & Explanation Answer: B) r1 : r2 (external)

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

2 36507
Q:

The difference between the place value and the face value of 7 in the numeral 967452 is

A) 6393 B) 5831
C) 6993 D) 6339
 
Answer & Explanation Answer: C) 6993

Explanation:

(Place value of 7)-(face value of 7)
=7000-7=6993.

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Filed Under: Numbers

106 36357
Q:

If the pice of sugar rises from Rs. 6 per kg to Rs. 7.50 per kg, a person, to have no increase in his expenditure on sugar, will have to reduce his consumpion of sugar by

A) 15 B) 20
C) 25 D) 30
 
Answer & Explanation Answer: B) 20

Explanation:

Let original consumption = 100 kg and new consumption = x kg, 

So, 100 * 6 = x * 7.50 => x = 80kg 

Reduction in consumption = 20%.

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Filed Under: Percentage

108 36352
Q:

2 men and 7 boys can do a piece of work in 14 days; 3 men and 8 boys can do the same in 11 days. Then, 8 men and 6 boys can do three times the amount of this work in 

A) 18 days B) 21 days
C) 24 days D) 30 days
 
Answer & Explanation Answer: B) 21 days

Explanation:

(2 x 14) men +(7 x 14) boys = (3 x 11) men + (8 x 11) boys

 =>5 men= 10 boys    => 1man= 2 boys

 Therefore, (2 men+ 7 boys) = (2 x 2 +7) boys = 11 boys

 

( 8 men + 6 boys) = (8 x 2 +6) boys = 22 boys.

 Let the required  number of days be x.

 More boys , Less days     (Indirect proportion)

 More work , More days    (Direct proportion)

 Boys22:11Work1 : 3⋮⋮ 14:x

 Therefore, (22 * 1 * x) = (11 * 3 * 14)

=> x = 21 

Hence, the required number of days = 21

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Filed Under: Chain Rule

90 36348
Q:

1100 boys and 700 girls are examined in a test; 42% of the boys and 30% of the girls pass. The percentage of the total who failed is :

A) 58 B) 62 *2/3
C) 64 D) 67
 
Answer & Explanation Answer: B) 62 *2/3

Explanation:

Total number of students = 1100 + 700 = 1800.

Number of students passed = (42% of 1100 + 30% of 700) - (462 + 210) = 672.

Number of failues = 1800-672 = 1128.

Percentage failure = (1128/1800 * 100 )% = 62 * 2/3 %. 

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Filed Under: Percentage

102 36342