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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

In a bag which contains 40 balls, there are 18 red balls and some green and blue balls. If two balls are picked up from the bag without replacement, then the probability of the first ball being red and second being green is 3/26. Find the number of blue balls in the bag.

A) 16 B) 12
C) 10 D) 14
 
Answer & Explanation Answer: B) 12

Explanation:

Total balls = 40

Red balls = 18

Let green balls are x

Then, (18/40) × (

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Filed Under: Probability
Exam Prep: AIEEE , Bank Exams , CAT

50 5574
Q:

It is given that log10 2= 0.301 and log10 3 = 0.477. How many digits are there in (108)10?

A) 19 B) 20
C) 21 D) 22
 
Answer & Explanation Answer: C) 21

Explanation:
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Filed Under: Logarithms
Exam Prep: Bank Exams

38 5569
Q:

A 150 m long train crosses another 210 m long train running in the opposite direction in 10.8 seconds. If the shorter train crosses a pole in 12 seconds, what is the speed of longer train ?

A) 75 kmph B) 80 kmph
C) 54 kmph D) 45 kmph
 
Answer & Explanation Answer: A) 75 kmph

Explanation:

Total distance = 150 + 210 = 360 mts

Time taken to cross each other when moving in opposite direction = 10.8 sec

Relative speed of trains = (350/10.8) x 18/5 = 3600/30 = 120 kmph

Speed of shorter train = (150/12) x 18/5 = 45 kmph

 

Hence, speed of longer train = 120 - 45 = 75 kmph.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

6 5563
Q:

10 women can do a piece of work in 6 days, 6 men can do same work in 5 days and 8 children can do it in 10 days. What is the ratio of the efficiency of a woman, a man and a child respectively?

A) 4 : 6 : 3 B) 4 : 5 : 3
C) 2 : 4 : 3 D) 4 : 8 : 3
 
Answer & Explanation Answer: D) 4 : 8 : 3

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

4 5562
Q:

If the price of 23 toys is 276, then what will the price of 12 toys ?

A) 144 B) 148
C) 156 D) 186
 
Answer & Explanation Answer: A) 144

Explanation:

Less toys, Less Price (Direct Proportion)
So, let the price be Rs. x
then,

             23:12::276:x    => x=(276*12)/23

                                    => x=144

So price of 12 toys will be Rs. 144

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Filed Under: Chain Rule

3 5561
Q:

Evaluate : 3.392-2.6123.39-2.69?

A) 3 B) 4
C) 6 D) 1
 
Answer & Explanation Answer: C) 6

Explanation:

 

It is in the form of a2-b2a-b = a+ba-ba-b = a+b

 

Here a = 3.39   b = 2.61 

 

 = 3.39 + 2.61 = 6.

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Filed Under: Decimal Fractions
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

6 5553
Q:

Simon deposits $400 in an account that pays 3% interest compounded annually. What is the balance of Simon’s account at the end of 2 years?

A) 424.36 B) 524.56
C) 545.36 D) 456.36
 
Answer & Explanation Answer: A) 424.36

Explanation:

I=Prt

 

I=12

 

Balance = P +Prt

 

412

 

Find the balance at the end of the second year.

 

I = Prt=12.36

 

Balance =P + Prt

 

424.36

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 5540
Q:

The TrueDiscount on a certain sum of money due 3 years hence is Rs.250 and SimpeInterest on the same sum for same time and same rate is Rs375. Find sum and rate%?

A) (16 + 4/3)% B) (16 +1/3)%
C) (16 + 5/3)% D) (16 + 2/3)%
 
Answer & Explanation Answer: D) (16 + 2/3)%

Explanation:

sum = [(S.I x T.D)/(S.I-T.D)] = Rs. [(375 x 250)/(375-250)] = Rs.750 

Rate = (100 x 375)/(750 x 3) =1623 %

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Filed Under: True Discount

0 5539