EASY
CAT
IMPORTANT
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The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with horizontal, then the length of the wire is

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Important Questions on Miscellaneous

EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 27
The angles of elevation of the top of a tower from points at distance A and B from the base and in the same line with it are complementary. If A>B, then height of the tower is:
EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 28
A man walks 10 m towards a lamp post and notices that the angle of elevation of the top of the post increases from 30° to 45°. Find the height of the post.
HARD
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 29
A 6 ft tall man finds that the angle of elevation of the top of a 24 ft high pillar and the angle of depression of its foot are complementary angles. The distance of the man from the pillar is
HARD
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 30
A vertical pole PO is standing at the centre O of a square ABCD. If AC subtends an ∠90° at the top P of the pole, then the angle subtended by a side of the square at P is
HARD
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 31
A vertical lamp-post of height 9 m stands at the corner of a rectangular field. The angle of elevation of its top from the farthest corner is 30°, while from another corner it is 45°. The area of the field is
HARD
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 32
A vertical lamp-post, 6 m high, stands at a distance of 2 m from a wall, 4 m high. A 1.5 m tall man starts to walk away from the wall on the other side of the wall, in line with the lamp-post. The maximum distance to which the man can walk remaining in the shadow is
MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 35
All the possible two-character codes are formed using the digits 0 to 9 and the capital letters of the English alphabet A to Z. How many such codes are there, which upon writing the code on a piece of paper and then turning the paper around to read the code upside down will be mistaken for another code? There is no confusion between zero and the letter O or the number 1 and the letter I.
EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 1
Let us express date in the DDMMYYYY format, where DD represents the day of the month, MM represents the month, and YYYY represents the year. If the last possible date in the 20th century with all the eight digits (in the date as expressed in the above format) being odd is a Sunday, then what day of the week will the first date of the 21st century with all the eight digits even will be?