Aptitude and Reasoning Questions

Q:

A shopkeeper has a job to print certain number of documents and there are three machines P, Q and R for this job. P can complete the job in 3 days, Q can complete the job in 4 days and R can complete the job in 6 days. How many days the shopkeeper will it take to complete the job if all the machines are used simultaneously ?

A) 4/3 days B) 2 days
C) 3/2 days D) 4 days
 
Answer & Explanation Answer: A) 4/3 days

Explanation:

Let the total number of documents to be printed be 12.

 The number of documents printed by P in 1 day = 4.

 The number of documents printed by Q in 1 day = 3.

 The number of documents printed by R in 1 day = 2.

 
Thus, the total number of documents that can be printed by all the machines working simultaneously in a single day = 9.

 

Therefore, the number of days taken to complete the whole work = 12/9 = 4/3 days.

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Filed Under: Time and Work
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

4 4152
Q:

A chord that passes through the center of a circle is

A) secant B) tangent
C) diameter D) perigram
 
Answer & Explanation Answer: C) diameter

Explanation:

A straight line segment whose endpoints both lie on the circle is called as chord. A chord that passes through the center of a circle is a diameter.

 

A_chord_that_passes_through_the_center_of_a_circle_is1553604966.png image

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Filed Under: Arithmetical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT
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7 4148
Q:

The perimeter of a rectangle whose length is 6 m more than its breadth is 84 m. What will be the area of the rectangle?

A) 333 sq.mts B) 330 sq.mts
C) 362 sq.mts D) 432 sq.mts
 
Answer & Explanation Answer: D) 432 sq.mts

Explanation:

Let the breadth of the rectangle = b mts

Then Length of the rectangle = b + 6 mts

Given perimeter = 84 mts

2(L + B) = 84 mts

2(b+6 + b) = 84

2(2b + 6) = 84

4b + 12 = 84

4b = 84 - 12

4b = 72

b = 18 mts

=> Length = b + 6 = 18 + 6 = 24 mts

 

Now, required Area of the rectangle = L x B = 24 x 18 = 432 sq. mts

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Filed Under: Area
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20 4147
Q:

In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

A) 21/46 B) 1/5
C) 3/25 D) 1/50
 
Answer & Explanation Answer: A) 21/46

Explanation:

Let S be the sample space and E be the event of selecting 1 girl and 2 boys.

 

Then, n(S) = Number ways of selecting 3 students out of 25

 

                = 25C3  = 2300.

 

         n(E)= 10C1*15C2 = 1050. 

 

P(E) = n(E)/n(s) = 1050/2300 = 21/46

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Filed Under: Probability

1 4146
Q:

In a test, 14% of the students failed in Maths and 22% failed in Hindi. If 18% of the students failed in both the subjects, then the percentage of students who passed in both the subjects is

A) 46 B) 44
C) 42 D) 40
 
Answer & Explanation Answer: A) 46

Explanation:

Let the number of students = 100

Number of students who failed in one or more subjects = 14 + 22 + 18 = 54%

The percentage of students who passed in both the subjects = 100 - 54 = 46%.

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Filed Under: Percentage
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7 4144
Q:

A loan of $15 000 is taken out. If the interest rate on the loan is 7%, how much interest is due and what is the amount repaid if the loan is due in seven months

A) 15612.50 B) 14612.50
C) 13612.50 D) 17612.50
 
Answer & Explanation Answer: A) 15612.50

Explanation:

We have P = 15 000, r = 0.07 and since the actual date the loan was taken out
is not given, we use t =7/12

I = Prt=$15 000* 0.07* 7/12 = $612.50

Amount repaid = Future or accumulated value,

S = P + I = $15 000 + $612.50 = $15 612.50

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

2 4143
Q:

Which Word Does Not Belong with the Others

A) VDU B) Speakers
C) Plotter D) Joystick
 
Answer & Explanation Answer: D) Joystick

Explanation:

Here Joystick is the word doesn't belong with the others.

Because Except Joystick all others are Output Devices whereas Joystick is Input Device.

VDU - Visual Display Unit - Monitor to display

Speakers - Output sound

Plotter - used to produce single or multiple colored images.

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50 4141
Q:

Find the number of triangles in the given figure?

A) 16 B) 22
C) 28 D) 32
 
Answer & Explanation Answer: C) 28

Explanation:

The simplest triangles are AFJ, FJK, FKB, BKG, JKG, JGC, HJC, HIJ, DIH, DEI, EIJ and AEJ i.e. 12 in number.

The triangles composed of two components each are JFB, FBG, BJG, JFG, DEJ, EJH, DJH and DEH i.e. 8 in number.

The triangles composed of three components each are AJB, JBC, DJC and ADJ i.e. 4 in number.

The triangles composed of six components each are DAB, ABC, BCD and ADC i.e. 4 in number.

Thus, there are 12 + 8 + 4 + 4 = 28 triangles in the figure.

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Filed Under: Analytical Reasoning

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