angle Search

Q:

Which of the following could not be the lengths of the sides of a right angled triangle?

A) 3, 4, 5	B) 5, 12, 13
C) 8, 15, 17	D) 12, 15, 18

Answer & Explanation Answer: D) 12, 15, 18

Explanation:

Using Pythagoras theorem we can see that 12² + 15² is not equal to 18²
Neither is 10² + 24² = 25²

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Filed Under: Ratios and Proportions
Exam Prep: GRE

Q:

A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?

A) 4	B) 6
C) 8	D) None of the above

Answer & Explanation Answer: B) 6

Explanation:

The measure of the third side of a triangle must lie between the sum and the difference of the other two sides. Using this fact along with the answer choices, we can eliminate the wrong answers.

Option A cannot be correct because 4 would not be the longest side.(sides 4, 5, and 4)

Option B could be correct because the other two sides would be 3 and 4.

Option C cannot be correct because this third side would be greater than the sum of the other two sides.

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Filed Under: Area
Exam Prep: GRE

Q:

One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?

A) 24	B) 20
C) 26	D) 34

Answer & Explanation Answer: B) 20

Explanation:

The maximum area of the triangle will come when the given sides are placed at right angles. If we take 8 as the base and 5 as the height the area = ½ x 8 x 5=20

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Filed Under: Volume and Surface Area
Exam Prep: GRE

Q:

Find the angle between the hour hand and the minute hand of a clock when the time is 3.25

A) 47.5 degrees	B) 57.5 degrees
C) 45.5 degrees	D) 55.5 degrees

Answer & Explanation Answer: A) 47.5 degrees

Explanation:

At 3 O'clock, Minute hand is at 12 while the Hour hand is at 3. Again the minute hand has to sweep through ( 30 x 5 ) ie 150° for reaching the figure 5 to show 25 mins.

Simultaneously the Hour hand will also rotate for 25 mins. Thus starting from the mark, 3 the hour hand will cover an angle = (25 x 30) / 60 = 12.5°

Hence, Angle between Hour and the Minute hand = ( 60 - 12.5 ) = 47.5°

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

Q:

How many times are the hands of a clock at right angle in a day?

A) 44	B) 54
C) 64	D) 22

Answer & Explanation Answer: A) 44

Explanation:

In 12 hours, they are at right angles 22 times.
$\therefore$ In 24 hours, they are at right angles 44 times.

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

Q:

At 3.40, the hour hand and the minute hand of a clock form an angle of:

A) 110	B) 120
C) 130	D) 140

Answer & Explanation Answer: C) 130

Explanation:

Angle traced by hour hand in 12 hrs. = 360º.

Angle traced by it in $\frac{11}{3}$ hrs = ${(\frac{360}{12} \times \frac{11}{3})}^{0}$ = $110^{0}$

Angle traced by minute hand in 60 min. = $360^{0}$

Angle traced by it in 40 min = ${(\frac{360}{60} \times 40)}^{0}$ = $240^{0}$

$\therefore$ Required angle (240 - 110)º = $130^{0}$

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

Q:

At what angle the hands of a clock are inclined at 15 minutes past 5?

A) 57.5 degrees	B) 67.5 degrees
C) 77.5 degrees	D) 87.5 degrees

Answer & Explanation Answer: B) 67.5 degrees

Explanation:

Angle traced by hour hand in $\frac{21}{4}$ 21 hrs = ${(\frac{360}{12} \times \frac{21}{4})}^{0}$ = $157 \frac{1^{0}}{2}$

Angle traced by min. hand in 15 min = ${(\frac{360}{12} \times 15)}^{0}$ = $90^{0}$

$\therefore$ Required Angle = ${(157 \frac{1}{2})}^{0} - 90^{0}$ = $67 \frac{1^{0}}{2}$

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

Q:

The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

A) 0	B) 10
C) 30	D) 60

Answer & Explanation Answer: B) 10

Explanation:

Angle traced by hour hand in $\frac{13}{3}$ hrs = ${(\frac{360}{12} \times \frac{13}{3})}^{0}$ = $130^{0}$

Angle traced by min. hand in 20 min = ${(\frac{360}{60} \times 20)}^{0}$ = $120^{0}$

Required angle = (130 - 120)º = 10º

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

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