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Q:

X and Y start from the same point. X walks 40 m north, then turns West and walks 80 m, then turns to his right and walks 50 m. At the same time, Y walks 90 m North. Where is Y now with respect to the position of X?

A) Y is 30 m to the East of X B) Y is 80 m to the West of X
C) Y is 30 m to the West of X D) Y is 80 m to the East of X
 
Answer & Explanation Answer: D) Y is 80 m to the East of X

Explanation:
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Filed Under: Direction Sense Test
Exam Prep: Bank Exams

Q:

Δ XYZ is right angled at Y. If m∠Z = 60°, what is the length of YZ (in cm), if ZX = 3√3 cm?

A) 3√3/2 B) 3√3
C) 9 D) 6
 
Answer & Explanation Answer: A) 3√3/2

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

A marathon route starts and goes 21 km North, then there is a turn towards West where the route goes on for 7 km, then there is a turn towards North where the route goes on for 10 km, then there is a right turn from where the route goes on 7 km to reach the end. Where is it now with reference to its starting position?

A) 31 km South B) 11 km North
C) 31 km North D) 11 km South
 
Answer & Explanation Answer: C) 31 km North

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Filed Under: Direction Sense Test
Exam Prep: Bank Exams

Q:

There are two parallel streets each directed north to south. A person in the first street travelling from south to north wishes to take the second street which is on his right side. At some place, he makes a 150 deg turn to the right and he travels for 15 minutes at the speed of 20 km/hr. After that he takes a left turn of 60 deg and travels for 20 minutes at the speed of 30 km/hr in order to meet the second street. What is the distance between the two streets?

A) 7.5 km B) 10.5 km
C) 12.5 km D) 15 km
 
Answer & Explanation Answer: C) 12.5 km

Explanation:
Initially the person is travelling from south to north i.e. D to A
He takes 150 deg right turn and moves AB distance and then he takes 60 deg left turn travels BC
AB = 20km/hr * 15/60 hr = 5km
BC = 30 * 20/60 = 10 km
We know that distance between both the streets is DC = DB + BC
DB = AB cos 60o= 5. ½ =2.5 km
So the distance between streets = 12.5 km
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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

ABC is a right angled triangle in which ∠A = 90°, AB = 5 cm and AC = 12 cm. What is the approximate volume (in cm3) of the double cone formed by rotating the triangle about its hypotenuse?

A) 145 B) 290
C) 435 D) 580
 
Answer & Explanation Answer: B) 290

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

If a mirror placed on the line AB, then which is the right figure from the following?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

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Filed Under: Image Analysis
Exam Prep: Bank Exams

Q:

The hypotenuse of a right-angled triangle 10 cm and its area is 24 cm^2. If the shorts side is halved and the longer side is double, the new hypotenuse becomes

 

A) √245 cm B) √255 cm
C) √265 cm D) √275 cm
 
Answer & Explanation Answer: C) √265 cm

Explanation:
Hypotenuse = 10cm
Let the other 2 perpendicular sides be a and b
Area ½ a*b = 24
So a*b = 48 cm^2
Also using Pythagoras
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Filed Under: Area
Exam Prep: Bank Exams

Q:

The perimeter of a right-angled triangle is k times the shortest side. If the ratio of the other side to hypotenuse is 4 : 6, then what is the value of k?

 

A) 2 B) 3
C) 4 D) 5
 
Answer & Explanation Answer: C) 4

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Filed Under: Area
Exam Prep: Bank Exams