Quantitative Aptitude - Arithmetic Ability Questions

Q:

A train sets off at 3 p.m. at the speed of 70 kmph. Another train starts at 4:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet ?

A) 10:10 pm B) 9:50 pm
C) 11:30 pm D) 10:30 pm
 
Answer & Explanation Answer: C) 11:30 pm

Explanation:

Distance = 70 x 1 ½ = 105 km

Relative Speed = 85 – 70 = 15

Time = 105/15 = 7 hrs

4:30 + 7 hrs = 11.30 p.m.

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Filed Under: Problems on Trains
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14 10609
Q:

Find: S.l on Rs 68000 at 1623 1 % per annum for 9 months

A) 6500 B) 7500
C) 8500 D) 9500
 
Answer & Explanation Answer: C) 8500

Explanation:

P = 68000, R =503%  & T = 9 months (3/4 years)  

 S.I=p×r×t100=(6800×503×34)100=Rs.8500

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Filed Under: Simple Interest
Exam Prep: GRE
Job Role: Bank PO

3 10600
Q:

What is the characteristic of the logarithm of 0.0000134?

A) 5 B) -5
C) 6 D) -6
 
Answer & Explanation Answer: B) -5

Explanation:

log (0.0000134). Since there are four zeros between the decimal point and
the first significant digit, the characteristic is –5.

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Filed Under: Logarithms
Exam Prep: Bank Exams
Job Role: Bank PO

41 10590
Q:

If 1/8 of a pencil is black, 1/2 of the remaining is white and the remaining, 3/2cm is blue. Find the total length of the pencil?

A) 8 cms B) 7 cms
C) 9 cms D) 11 cms
 
Answer & Explanation Answer: A) 8 cms

Explanation:

Let the total length of the pencil = x cms

From the given data,

'x/8' is black

Remaining part = x - x/8 = 7x/8

1/2 of 7x/8 is white

=> 7x/16 is white (Remaining part is 7x/16)

And given that the remaining part is blue and is 3 1/2 cm = 7/2 = 3.5 cm

That remaining part = 7x/16

Therefore,

7x/16 = 7/2

x = 16/2 = 8

Hence, the total length of the pencil = x = 8 cm.

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Filed Under: Percentage
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17 10583
Q:

At 3.40, the hour hand and the minute hand of a clock form an angle of:

A) 110 B) 120
C) 130 D) 140
 
Answer & Explanation Answer: C) 130

Explanation:

Angle traced by hour hand in 12 hrs. = 360º. 

 

Angle traced by it in 113hrs =36012×11301100 

 

Angle traced by minute hand in 60 min. = 3600 

 

Angle traced by it in 40 min = 36060×4002400 

 

Required angle (240 - 110)º = 1300

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

16 10566
Q:

What is two weeks from today?

A) same day B) previous day
C) next day D) None
 
Answer & Explanation Answer: A) same day

Explanation:

We know that the day repeats every 7 days, 14 days, 21 days,...

So if today is Monday, after 7 days it is again Monday, after 14 days again it is Monday.

Hence, after 2 weeks i.e, 14 days the day repeats and is the same day. 

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Filed Under: Calendar
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59 10555
Q:

The expression (11.98 * 11.98 + 11.98 * (x) + 0.02 * 0.02) will be a perfect square for x equal to :            

A) 0.01 B) 0.02
C) 0.03 D) 0.04
 
Answer & Explanation Answer: D) 0.04

Explanation:

Given = (11.98)^2 + (0.02)^2 + 11.98 * x. 

For the given expression to be a perfecr square, we must have

11.98 * x = 2 * 11.98 * 0.02 => x = 0.04

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Filed Under: Decimal Fractions

13 10554
Q:

Ramesh started a software business by investing Rs. 50,000. After six months, Rajesh joined him with a capital of Rs. 75,000. After 3 years, they earned a profit of Rs. 27,000. What was Rajesh's share in the profit?

A) 10,000 B) 15,000
C) 20,000 D) 25,000
 
Answer & Explanation Answer: B) 15,000

Explanation:


Ramesh : Rajesh =(50,000*36) : (75,000*30) =4 : 5.

Therefore, Rajesh's share=Rs.(27,000*5/9)= Rs.15,000.

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Filed Under: Percentage

6 10552