Recent questions / Aptitude Overflow

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5561

CAT 2008 | Question: 08
Find the sum $\sqrt{1+ \frac{1}{1^2} + \frac{1}{2^2} } + \sqrt{1+ \frac{1}{2^2} + \frac{1}{3^2} } + \dots + \sqrt{1+ \frac{1}{2007^2} + \frac{1}{2008^2} }$ $2008 - \frac{1}{2008}$ $2007 - \frac{1}{2007}$ $2007 - \frac{1}{2008}$ $2008 - \frac{1}{2007}$ $2008 - \frac{1}{2009}$

Find the sum $\sqrt{1+ \frac{1}{1^2} + \frac{1}{2^2} } + \sqrt{1+ \frac{1}{2^2} + \frac{1}{3^2} } + \dots + \sqrt{1+ \frac{1}{2007^2} + \frac{1}{2008^2} }$$2008 - \frac{...

go_editor

13.9k points

574 views

go_editor asked Nov 28, 2015

0 votes

0 answers

5562

CAT 2008 | Question: 07
In a triangle $\text{ABC}$, the lengths of the sides $\text{AB}$ and $\text{AC}$ equal $17.5$ cm and $9$ cm respectively. Let $\text{D}$ be a point on the line segment $\text{BC}$ such that $\text{AD}$ is perpendicular to $\text{BC}.$ ... what is the radius (in cm) of the circle circumscribing the triangle $\text{ABC}?$ $17.05$ $27.85$ $22.45$ $32.25$ $26.25$

In a triangle $\text{ABC}$, the lengths of the sides $\text{AB}$ and $\text{AC}$ equal $17.5$ cm and $9$ cm respectively. Let $\text{D}$ be a point on the line segment $\...

go_editor

13.9k points

490 views

go_editor asked Nov 28, 2015

0 votes

0 answers

5563

CAT 2008 | Question: 05
Consider a right circular cone of base radius $4$ cm and height $10$ cm. A cylinder is to be placed inside the cone with one of the flat surfaces resting on the base of the cone. Find the largest possible total surface area (in sq cm) of the cylinder. $\frac{100 \pi}{3}$ $\frac{80 \pi}{3}$ $\frac{120 \pi}{7}$ $\frac{130 \pi}{9}$ $\frac{110 \pi}{7}$

Consider a right circular cone of base radius $4$ cm and height $10$ cm. A cylinder is to be placed inside the cone with one of the flat surfaces resting on the base of t...

go_editor

13.9k points

656 views

go_editor asked Nov 28, 2015

0 votes

2 answers

5564

CAT 2008 | Question: 06
What are the last two digits of $7^{2008}?$ $21$ $61$ $01$ $41$ $81$

What are the last two digits of $7^{2008}?$$21$$61$$01$$41$$81$

go_editor

13.9k points

978 views

go_editor asked Nov 26, 2015

5 votes

2 answers

5565

CAT 2008 | Question: 03
Direction for the question given below The figure below shows the plan of a town. The streets are at right angles to each other. A rectangular park $\text{(P)}$ is situated inside the town with a diagonal road running through it. There is also a prohibited ... the shortest path, then the number of possible shortest paths that she can choose is $60$ $75$ $45$ $90$ $72$

Direction for the question given belowThe figure below shows the plan of a town. The streets are at right angles to each other. A rectangular park $\text{(P)}$ is situate...

go_editor

13.9k points

4.1k views

go_editor asked Nov 26, 2015

0 votes

1 answer

5566

CAT 2008 | Question: 02
What is the number of distinct terms in the expansion of $(a + b + c)^{20}?$ $231$ $253$ $242$ $210$ $228$

What is the number of distinct terms in the expansion of $(a + b + c)^{20}?$$231$$253$$242$$210$$228$

go_editor

13.9k points

833 views

go_editor asked Nov 26, 2015

1 votes

1 answer

5567

CAT 2008 | Question: 01
How many integers, greater than $999$ but not greater than $4000,$ can be formed with the digits $0, 1, 2, 3$ and $4,$ if repetition of digits is allowed? $499$ $500$ $375$ $376$ $501$

How many integers, greater than $999$ but not greater than $4000,$ can be formed with the digits $0, 1, 2, 3$ and $4,$ if repetition of digits is allowed?$499$$500$$375$$...

go_editor

13.9k points

589 views

go_editor asked Nov 26, 2015

1 votes

1 answer

5568

A set 'S' has 5 elements. How many ways you can choose subset P and Q of S so that P∩Q is empty.

Tushar Pal

26 points

3.2k views

Tushar Pal asked Nov 14, 2015

2 votes

1 answer

5569

Question on Averages
The average age of Sachin and Ganguli is 35 yrs. If Kaif replaces Sachin, the average age is 32 yrs, if Kaif replaces Ganguly average age is 38 yr. If the average age of Dhoni and Irfan is half of average age of Sachin, Ganguli and Kaif. then average age of all the five people is A: 28 yrs B: 32 yrs C: 25 yrs D:none of these

The average age of Sachin and Ganguli is 35 yrs. If Kaif replaces Sachin, the average age is 32 yrs, if Kaif replaces Ganguly average age is 38 yr. If the average age of ...

Tendua

188 points

4.3k views

Tendua asked Oct 31, 2015

0 votes

1 answer

5570

arrangement-P and C
In how many ways 8 persons can be arranged on two round tables consisting of 4 chairs each? a)720 b)1260 c)2520 d)5040

In how many ways 8 persons can be arranged on two round tables consisting of 4 chairs each?a)720b)1260c)2520d)5040

Pooja Palod

1.8k points

1.2k views

Pooja Palod asked Sep 27, 2015

0 votes

1 answer

5571

permutation and combination
An advertising board is to be designed with 5 vertical stripes using some or all of colors red, yellow and orange. In how many ways board can be designed such that no two adjacent stripes have same color? a)6 b)15 c)18 d)48

An advertising board is to be designed with 5 vertical stripes using some or all of colors red, yellow and orange. In how many ways board can be designed such that no two...

Pooja Palod

1.8k points

1.1k views

Pooja Palod asked Sep 27, 2015

0 votes

2 answers

5572

Numerical ability
A number when divided by a divisor leaves 22 as the remainder. Twice the number when divided by same divisor leaves 7 as the remainder. Find the divisor? (a) 23 (b) 27 (c) 33 (d) 37

A number when divided by a divisor leaves 22 as the remainder. Twice the number when divided by same divisor leaves 7 as the remainder. Find the divisor? (a) 23 (b)...

Pooja Palod

1.8k points

1.2k views

Pooja Palod asked Sep 25, 2015

1 votes

1 answer

5573

compound interest question
a sum of rs. 1100 was taken as loan. this is to be repaid in 2 equal installments.if the rate of interest is 20% compounded annually then value of each installment is?

a sum of rs. 1100 was taken as loan. this is to be repaid in 2 equal installments.if the rate of interest is 20% compounded annually then value of each installment is?

parul sharma

30 points

4.3k views

parul sharma asked Sep 24, 2015

0 votes

1 answer

5574

Simple interest
A sum of rs. 10 is lent to be returned in 11 monthly installments of rs.1 each , interest being simple. the rate of interest is?

A sum of rs. 10 is lent to be returned in 11 monthly installments of rs.1 each , interest being simple. the rate of interest is?

parul sharma

30 points

4.2k views

parul sharma asked Sep 24, 2015

0 votes

1 answer

5575

Select the best answer from the given options.
If 3x - 2 = 7, then 4x = ? 3 5 20/3 9 12

If 3x - 2 = 7, then 4x = ?3520/3912

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