Quantitative Aptitude - Arithmetic Ability Questions

Q:

The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ?

A) 0 B) -1
C) 1 D) none of these
 
Answer & Explanation Answer: A) 0

Explanation:

Average of 20 numbers = 0. 

 

Sum of 20 numbers = (0 * 20) = 0. 

 

It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (- a).

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Filed Under: Average

275 83749
Q:

At what time between 5 and 6 o' clock are the hands of a 3 minutes apart ?

A) 24min B) 12min
C) 13min D) 14min
 
Answer & Explanation Answer: A) 24min

Explanation:

In this type of problems the formuae is
(5*x+ or - t)*12/11
Here x is replaced by the first interval of given time. Here x is 5.
t is spaces apart

  Case 1 : (5*x + t) * 12/11

 (5*5 + 3) * 12/11

 28 * 12/11 = 336/11= 31511 min

therefore the hands will be 3 min apart at 31 5/11 min past 5.

Case 2 : (5*x - t) * 12/11

(5*5 -3 ) * 12/11

 22 *12/11 = 24 min 

 therefore the hands will be 3 min apart at 24 min past 5

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

200 82890
Q:

What is the next number in the given Number Series?

5, 24, 94, 279, ?

A) 587 B) 554
C) 489 D) 499
 
Answer & Explanation Answer: B) 554

Explanation:

The given number series follows a pattern that

5 x 5 – 1 = 24

24 x 4 – 2 = 94

94 x 3 – 3 = 279

279 x 2 – 4 = 554

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

15 82397
Q:

What was the day of the week on, 16th July, 1776?

A) Tuesday B) Wednesday
C) Monday D) Saturday
 
Answer & Explanation Answer: A) Tuesday

Explanation:

16th July, 1776 = (1775 years + Period from 1st Jan, 1776 to 16th July, 1776)

Counting of odd days :

1600 years have 0 odd day.

100 years have 5 odd days.

75 years = (18 leap years + 57 ordinary years) =  [(18 x 2) + (57 x 1)] = 93 (13 weeks + 2 days) = 2 odd days


1775 years have (0 + 5 + 2) odd days = 7 odd days = 0 odd day. 

 

Jan   Feb   Mar   Apr   May   Jun   Jul  

31 + 29 + 31 + 30 + 31 + 30 + 16 = 198 days= (28 weeks + 2 days) 

 

Total number of odd days = (0 + 2) = 2.  

Required day was 'Tuesday'.

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

683 82316
Q:

What is the simplified value of 5 + 45 - 4 + 5 - 45 + 4 ?

 

A) 9 B) 10
C) 18 D) 20 
 
Answer & Explanation Answer: C) 18

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

2 82124
Q:

A sum of Rs.312 was divided among 100 boys and girls in such a way that the boy gets Rs.3.60 and each girl Rs. 2.40 the number of girls is

A) 35 B) 40
C) 45 D) 50
 
Answer & Explanation Answer: B) 40

Explanation:

Step (i): Let x be the number of boys and y be the number of girls.
Given total number of boys and girls = 100
x+y=100 -------------- (i)

Step (ii): A boy gets Rs. 3.60 and a girl gets Rs. 2.40
The amount given to 100 boys and girls = Rs. 312
3.60x + 2.40y = 312 -------------- (ii)

Step (iii):
Solving (i) and (ii)
3.60x + 3.60y = 360 --------- Multiply (i) by 3.60
3.60x + 2.40y = 312 --------- (ii)
1.20y = 48
y = 48 / 1.20
= 40

 Number of girls = 40

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Filed Under: Ratios and Proportions

343 82029
Q:

A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

A) 400 kg B) 560 kg
C) 600 kg D) 640 kg
 
Answer & Explanation Answer: C) 600 kg

Explanation:

By the rule of alligation:

 

Profit of first part                         Profit of second part

 

 

So, ratio of 1st and 2nd parts = 4 : 6 = 2 : 3. 

 

Therefore, Quantity of 2nd kind = (3/5 x 1000)kg = 600 kg.

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Filed Under: Alligation or Mixture

333 81935
Q:

P can complete a work in 12 days working 8 hours a day.Q can complete the same work in 8 days working 10 hours a day. If both p and Q work together,working 8 hours a day,in how many days can they complete the work?

A) 60/11 B) 61/11
C) 71/11 D) 72/11
 
Answer & Explanation Answer: A) 60/11

Explanation:

P can complete the work in (12 x 8) hrs = 96 hrs 

Q can complete the work in (8 x 10) hrs=80 hrs 

Therefore, P's 1 hour work=1/96   and Q's 1 hour work= 1/80

(P+Q)'s 1 hour's work =(1/96) + (1/80) = 11/480. So both P and Q will finish the work in 480/11 hrs  

Therefore, Number of days of 8 hours each = (480/11) x (1/8) = 60/11

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Filed Under: Time and Work

236 81833