Exams


Q:

Two parallel chords on the same side of the centre of a circle are 5 cm apart. If the chords are 20 and 28 cm long, what is the radius of the circle? 

A) 14.69 cm B) 15.69 cm
C) 18.65 cm D) 16.42 cm
 
Answer & Explanation Answer: B) 15.69 cm

Explanation:

circle11487663359.jpg image

Draw the two chords as shown in the figure. Let O be the center of the circle. Draw OC
perpendicular to both chords. That divides the two chords in half.
So CD = 10 and AB = 14. Draw radii OA and OD, both equal to radius r.
We are given that BC = 5, the distance between the two chords. Let
OB = x.

We use the Pythagorean theorem on right triangle ABO

AO² = AB² + OB²
r² = 14² + x²

We use the Pythagorean theorem on right triangle DCO

DO² = CD² + OC²

We see that OC = OB+BC = x+5, so

r² = 10² + (x+5)²

So we have a system of two equations:

r² = 14² + x²
r² = 10² + (x+5)²

Since both left sides equal r², set the right sides
equal to each other.

14² + x² = 10² + (x+5)²
196 + x² = 100 + x² + 10x + 25
196 = 125 + 10x
71 = 10x
7.1 = x

r² = 14² + x²
r² = 196 + (7.1)²
r² = 196 + 50.41
r² = 246.41
r = √246.41
r = 15.69745202 cm

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Filed Under: Simplification
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Q:

A woman fills a bucket in 6 minutes. 1845 buckets have to be filled from 8 am. to 9:30 am. How many woman employees should be employed for this task?

A) 111 B) 117
C) 123 D) 139
 
Answer & Explanation Answer: C) 123

Explanation:

We know that, M1 × D1W1 = M2 × D2W2

Here M1 = 1, D1 = 6 min, W1 = 1 and M2 = M, D2 = 90 min, W2 = 1845

 

1 × 61 = M × 901845 

=> M = 123

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Filed Under: Time and Work
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8 4885
Q:

The tax on an article decreases by 10% and its consumption increases by 10%. Find the effect percent on its revenue?

Answer

-10+10-10*10100  % = -1%


 


\inline \therefore Decrease in revenue = 1%

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Subject: Percentage Exam Prep: Bank Exams

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Q:

Express 0.875 and 0.375 as a Fraction.

A) 3/11 & 7/11 B) 7/9 & 9/13
C) 7/8 & 3/8 D) 7/9 & 9/11
 
Answer & Explanation Answer: C) 7/8 & 3/8

Explanation:

Given 0.875 and 0.375

0.875 ::

After decimal point there are 3 digits 875

Now, mutiply and divide 0.875 with 1000

0.875 x 10001000 = 8751000 Now, this can be reduced to fraction 78Therefore, 0.875 as fraction = 78

Similarly,

0.375 :: 

After decimal point there are 3 digits 375

Now, mutiply and divide 0.375 with 1000

0.375 x 10001000 = 3751000Now, this can be reduced to fraction 38Therefore, 0.375 as fraction = 38

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Filed Under: Decimal Fractions
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Q:

Which statement is true of all atoms that are anions?

A) The atom has fewer protons than does a neutral atom of the same element. B) The atom has more protons than electrons.
C) The atom has more neutrons than protons. D) The atom has more electrons than protons.
 
Answer & Explanation Answer: D) The atom has more electrons than protons.

Explanation:

Anions are atoms or radicals (groups of atoms), that have gained electrons. Since they now have more electrons than protons, anions have a negative charge.

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Filed Under: Chemistry
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Q:

A man travels 480 km in 4 hours, partly by air and partly by train. If he had travelled all the way by air, he would have saved 4/5 of the time he would have taken to travel by train and would have arrived at his destination 2 hours early. Find the distance he covered by travelling by train.

A) 80 km B) 120 km
C) 110 km D) 90 km
 
Answer & Explanation Answer: B) 120 km

Explanation:
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Filed Under: Time and Distance
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Q:

In latest generation computers, the instructions are executed

A) Sequentially only B) Parallelly only
C) Both sequentially and parallelly D) None of the above
 
Answer & Explanation Answer: C) Both sequentially and parallelly

Explanation:

In_latest_generation_computers,_the_instructions_are_executed1556257673.jpg image

 

In latest generation computers, the instructions are executed both sequencially and parallelly.

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3 4879
Q:

Which of these is NOT a lipid?

A) Wax B) Cholesterol
C) RNA D) Phospholipid
 
Answer & Explanation Answer: C) RNA

Explanation:

RNA is not a lipid among the given options.

 

A lipid is a substance of biological origin that is soluble in nonpolar solvents. It comprises a group of naturally occurring molecules that include fats, waxes, sterols, fat-soluble vitamins (such as vitamins A, D, E, and K), monoglycerides, diglycerides, triglycerides, and phospholipids.

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Filed Under: Biology
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