(Paper) Sample Question Archives - CAT, XAT, TANCET, PGSEM Test - Miscellaneous - 2
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Sample Question Archives - CAT, XAT, TANCET, PGSEM Test |
Question 1 ›
Which amongst the following investments has the lowest return? Solution
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Question 2 › The classic problem of a monkey and the greased flag
pole . The height of a certain flag pole is 30 feet. Grease is applied to the
pole. A monkey attempts to climb the pole. It climbs 3 feet every second but
slips down 2 ft in the next second. When will the monkey reach the top of the
flag pole? Solution
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Question 3 › How many squares can be formed using the checkered 1
* 1 squares in a normal chessboard? Solution
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Question 4 › How many zeroes are there between the decimal point
and the first significant digit in (1/9)200 given log3 = 0.4771? Solution
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Question 5 › If log 2 = 0. 3010, then find how many digits are
contained in the number 256. Solution
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Question 6 › A gentleman buys every year Bank's cash certificates
of value exceeding the last year's purchase by Rs. 300. After 20 years, he finds
that the total value of the certificates purchased by him is Rs. 83,000. Find
the value of the certificates purchased by him in the 13th year. Solution
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Question 7 › From the following choices what is the equation of a
line whose x intercept is half as that of the line 3x + 4y = 12 and y intercept
is twice as that of the same line. Solution
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Question 8 › Pipe A can fill a tank completely in 5 hours.
However, on account of a leak at the bottom of the tank, it takes 3 more hours
to fill the tank. How long will the leak take to empty a full tank, when pipe A
is shut? Solution
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Question 9 › The sum of the first 50 terms common to the series
15,19,23 ... and 14,19,24 ... is Solution
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Question 10 › For what values of 'x' will the function
be
defined in the real domain? Solution
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Question 11 › Find the sum of all the integers which are
multiples of 7 and lie between 200 and 400. Solution
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Question 12 › How many digits will the number 3^200 have if the
value of log 3 = 0.4771? Solution
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Question 13 › A and B enter in to a partnership and A invests Rs.
10,000 in the partnership. At the end of 4 months he withdraws Rs.2000. At the
end of another 5 months, he withdraws another Rs.3000. If B receives Rs.9600 as
his share of the total profit of Rs.19,100 for the year, how much did B invest
in the company? Solution
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Question 14 › The sum of the first and the 9th of an
arithmetic progression is 24. What is the sum of the first nine terms of the
progression?Solution
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Question 15 › What is the equation of the line that is parallel
to the line 3x + 7y = 10 and passes through the point (4, 8)Solution
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Question 16 › Ram and Shyam take a vacation at their
grandparents' house. During the vacation, they do any activity together. They
either played tennis in the evening or practiced Yoga in the morning, ensuring
that they do not undertake both the activities on any single day. There were
some days when they did nothing. Out of the days that they stayed at their
grandparents' house, they involved in one of the two activities on 22 days.
However, their grandmother while sending an end of vacation report to their
parents stated that they did not do anything on 24 mornings and they did nothing
on 12 evenings. How long was their vacation?Solution
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Question 17 › Ram buys Rs.100 shares at Rs.112. If he sells the
shares after a year at Rs.132 after receiving a dividend of 8% just before
selling, what is the net yield on his investment?Solution
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Question 18 › For what value of m will the roots of the quadratic
equation x^2 + mx + 4 = 0 have real and equal roots?Solution
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Question 19 › The sum of 20 terms of the series –12
+ 22 – 32 + 42 – 52 + 62
… is:Solution
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Courtesy:- Ascent Education