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Q:

The area of the largest circle that can be drawn inside a rectangle with sides 18cm by 14cm is

A) 49	B) 154
C) 378	D) 1078

Answer & Explanation Answer: B) 154

Explanation:

The diameter is equal to the shortest side of the rectangle.

So radius= 14/2 = 7cm.

Therefore, $a r e a o f c i r c l e = {πr}^{2} = \frac{22}{7} \times 49 = 154 {cm}^{2}$

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Q:

At what time between 5.30 and 6 will the hands of a clock be at right angles?

A) (43 + 5/11) min past 5	B) (43 + 7/11) min pats 5
C) 5	D) 7

Answer & Explanation Answer: B) (43 + 7/11) min pats 5

Explanation:

At 5 o'clock, the hands are 25 min. spaces apart.
To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.

55 min. spaces are gained in 60 min

40 min. spaces are gained in $\frac{60}{55} \times 40$ min

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Filed Under: Clocks
Exam Prep: Bank Exams
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Q:

The reflex angle between the hands of a clock at 10.25 is

A) 197 1/2	B) 167 1/2
C) 157 1/2	D) 187 1/2

Answer & Explanation Answer: A) 197 1/2

Explanation:

Angle traced by hour hand in 125/12 hrs = (360/12 * 125/12) = $312 \frac{1^{0}}{2}$

Angle traced by minute hand in 25 min = (360/60 * 25) = $150^{0}$

$\therefore$ Reflex angle = $360^{0} - {(312 \frac{1}{2} - 150)}^{0} = 360^{0} - 162 \frac{1^{0}}{2} = 197 \frac{1^{0}}{2}$

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Q:

What time between 4 and 5 o'clock will the hands of a clock be at rightangle?

A) 3 5/11	B) 4 5/11
C) 5 5/11	D) 6 5/11

Answer & Explanation Answer: C) 5 5/11

Explanation:

this type of problems the formulae is
(5*x + or -15)*(12/11)
Here x is replaced by the first interval of given time
here i.e 4
Case 1 : (5*x + 15)*(12/11)
(5*4 +15)*(12/11)
(20+15)*(12/11)
35*12/11=420/11=38 2/11 min.
Therefore they are right angles at 38 2/11 min .past4
Case 2 : (5*x-15)*(12/11)
(5*4-15)*(12/11)
(20-15)*(12/11)
5*12/11=60/11 min=5 5/11min
Therefore they are right angles at 5 5/11 min.past4.

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Filed Under: Clocks
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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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Exam Prep: GRE

Q:

When the two hands are at right angles, they are ---------- minute spaces apart,

A) 13	B) 14
C) 15	D) 16

Answer & Explanation Answer: C) 15

Explanation:

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Filed Under: Clocks
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Q:

Find the area of the rectangle or square with the given dimensions s=10 feet

A) 500	B) 100
C) 200	D) 300

Answer & Explanation Answer: B) 100

Explanation:

$A = S^{2}$

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Exam Prep: Bank Exams
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Q:

Find the area of the rectangle or square with the given dimensions L = 5 inches, W= 3 inches?

A) 13	B) 14
C) 15	D) 16

Answer & Explanation Answer: C) 15

Explanation:

We know that,

Area of rectangle A = L x W = 5 x 3 = 15 sq.inches.

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