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Q:

A and B can fill the tank in 60 min and 90 min. There is a leak at 3/4th of the height. If leak is opened alone, it takes 36 min to empty till 3/4th the height. Find the time taken to fill the tank if all of the taps and the leak are opened simultaneously.

A) 39	B) 27
C) 37	D) 33

Answer & Explanation Answer: A) 39

Explanation:

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

Sreya bought a plot for Rs. 6,00,000, then sold half of the plot at 10 % profit and rest at 15% profit. What is the total profit % that Sreya gain?

A) 13.8 %	B) 11.4 %
C) 12.5 %	D) 14.5 %

Answer & Explanation Answer: C) 12.5 %

Explanation:

10% profit at half plot = 600000/2 x 10/100 = Rs. 30,000

15% profit at remaining half plot = 600000/2 x 15/100 = Rs. 45,000

Now, total profit = 30000 + 45000 = 75000

Profit % = 75000/600000 x 100 = 12.5 %

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

Q:

The solution of 3(2u + v) = 7 uv and 3(u + 3v) = 11 uv is _____

A) u = 1, v = 0	B) u = 1, v = 3/2
C) u = 0, v = 3/4	D) u = 0, v = 1

Answer & Explanation Answer: B) u = 1, v = 3/2

Explanation:

Using Trial and error method,

From the options u = 1, v = 3/2 satisfies both the equations.

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Filed Under: Mathematical Operations
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

Q:

12 students of class IX took part in GK quiz. If the number of boys is 4 more than the number of girls. Find the number of boys and girls took part in the quiz ?

A) 7, 5	B) 9, 3
C) 8, 4	D) 6, 6

Answer & Explanation Answer: C) 8, 4

Explanation:

Let the number of girls = x

=> x + x + 4 = 12

=> 2x = 8

=> x = 4

=> Number of girls = 4

=> Number of boys = 4 + 4 = 8

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Filed Under: Problems on Numbers
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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Q:

A boat whose speed in still water is 9 kmph, goes 12 km downstream and comes back in 3 hrs. Find the speed of the stream?

A) 1 kmph	B) 3 kmph
C) 5 kmph	D) 4 kmph

Answer & Explanation Answer: B) 3 kmph

Explanation:

Let the speed of the stream = x kmph

From the given data,

$\frac{12}{9 + x} + \frac{12}{9 - x} = 3 h r s$

$3 x^{2} = 27$

=> x = 3 kmph

Therefore, the speed of the stream = 3 kmph

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Filed Under: Boats and Streams
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

Q:

A Conical tent was erected by the army at a base camp with height 3 m and base diameter 10 m. If every person requires 3.92 cu.m air, then how many persons can be seated in that tent approximately?

A) 20	B) 19
C) 17	D) 22

Answer & Explanation Answer: A) 20

Explanation:

Given height of the conical tent = 3 m

Diameter = 10 => Radius = D/2 = 10/2 = 5 m

Now, as the tent is in the conical form

Volume of the conical tent = $π r^{2} \frac{h}{3}$

=> (22 x 5 x 5 x 3) / (7 x 3)

= 22 x 25/7

= 78.54 cu.m

Given each person requires 3.92 cu.m of air

=> Number of persons can be seated in the tent = 78.54/3.92 = 20.03 =~ 20

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Filed Under: Volume and Surface Area
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

Q:

If the LCM and HCF of two numbers are equal, then the numbers must be

A) Prime Numbers	B) Composite Numbers
C) Equal	D) Co- prime Numbers

Answer & Explanation Answer: C) Equal

Explanation:

If LCM = HCF then, the two numbers are equal.

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

Q:

What is plug and play ?

Answer

Plug and Play is a technology wherein hardware components that are installed on PC's using Microsoft operating system are immediately recognized and made usable. This means that the drivers necessary to make it work are already available in the operating system package.

Workspace

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Subject: Microsoft Certification

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