Quantitative Aptitude - Arithmetic Ability Questions

Q:

A train covers a distance between station A and station B in 45 min.If the speed of the train is reduced by 5 km/hr,then the same distance is covered in 48 min.what is the distance between the stations A and B ?

A) 80 kms B) 60 kms
C) 45 kms D) 32 kms
 
Answer & Explanation Answer: B) 60 kms

Explanation:

Let 'd' be the distance and 's' be the speed and 't' be the time
d=sxt
45 mins = 3/4 hr and 48 mins = 4/5 hr
As distance is same in both cases;
s(3/4) = (s-5)(4/5)
3s/4 = (4s-20)/5
15s = 16s-80
s = 80 km.
=> d = 80 x 3/4 = 60 kms.

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

19 19832
Q:

A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?

A) 2.5π B) 3π
C) 5π D) 4π
 
Answer & Explanation Answer: C) 5π

Explanation:

Draw the diagram. The diagonal of the rectangle is the diameter of the circle. The diagonal is the hypotenuse of a 3,4,5 triangle and is therefore, 5.

 

Circumference = π.diameter = 5π

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Filed Under: Area
Exam Prep: GRE

8 19824
Q:

A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out this cloth ?

A) 300 B) 360
C) 400 D) 450
 
Answer & Explanation Answer: A) 300

Explanation:

Length of  each piece = (1/8) m = 0.125 m

Required no of pieces = (37.5/0.125) = (375 * 100) / 125 = 300.

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Filed Under: Decimal Fractions

36 19799
Q:

Find the remainder, when (37+57+78+75+179) is divided by 17.

 

A) 1 B) 2
C) 5 D) 7
 
Answer & Explanation Answer: A) 1

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

0 19791
Q:

Three friends, P, Q and R started a partnership business investing money in the ratio of 5 : 4 : 2 respectively for a period of 3 years. What is the amount received by P as his share in the total profit ?

a. Total amount invested in the business in Rs. 22,000.

b. Profit earned at the end of 3 years is 3/8 of the total investment.

c. The average amount of profit earned per year is Rs. 2750.

A) Only c is sufficient B) Both a & b are sufficient
C) Both A & B gives result D) None
 
Answer & Explanation Answer: C) Both A & B gives result

Explanation:

a and b give, profit after 3 years = Rs.(3/8 x 22000) = Rs.8250.

From c also, profit after 3 years = Rs. (2750 x 3) = Rs. 8250.

∴ P's share = Rs.(8250 x 5/11) = Rs. 3750.

Thus, (either C is redundant) or (a and b are redundant).

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

5 19763
Q:

Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm.

A) 84 B) 64
C) 44 D) 22
 
Answer & Explanation Answer: A) 84

Explanation:

Let a = 13, b = 14 and c = 15. Then, s=12a+b+c=21

 (s- a) = 8, (s - b) = 7 and (s - c) = 6.


Area =ss-as-bs-c =21×8×7×6 = 84 sq.cm   

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

40 19758
Q:

3 x 0.3 x 0.03 x 0.003 x 30 =?

A) 0.0000243 B) 0.000243
C) 0.00243 D) 0.0243
 
Answer & Explanation Answer: C) 0.00243

Explanation:

3 x 3 x 3 x 3 x 30 = 2430. Sum of decimal places = 6

Therefore, 3 x 0.3 x 0.03 x 0.003 x 30 = 0.002430 = 0.00243

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Filed Under: Decimal Fractions

72 19752
Q:

If Rs.10 be allowed as true discount on a bill of Rs.110 at the end of a certain time , then the discount allowed on the same sum due at the end of double the time is

A) 18.20 B) 18.33
C) 18 D) 18.30
 
Answer & Explanation Answer: B) 18.33

Explanation:

Present worth  = Amount - True Discount = 110 -10 = Rs.100 

SI on Rs.100 for a certain time = Rs.10

SI on Rs.100 for doube the time = Rs.20 

True Discount on Rs.120 = 120 - 100 = Rs.20 

True Discount on Rs.110 = 110×20120 = Rs.18.33

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Filed Under: True Discount

6 19732