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1841
CAT 2006 | Question: 55
Consider the sequence where the $n^{\text{th}}$ term $t_n = \frac{n}{n+2}, n=1, 2, \dots.$ The value of $t_3 \times t_4 \times t_5 \times \dots \times t_{53}$ equals: $2/495$ $2/477$ $12/55$ $1/1485$ $1/2970$
Consider the sequence where the $n^{\text{th}}$ term $t_n = \frac{n}{n+2}, n=1, 2, \dots.$ The value of $t_3 \times t_4 \times t_5 \times \dots \times t_{53}$ equals:$2/4...
0 votes
2 answers
1843
CAT 2006 | Question: 53
If $a/b=1/3, b/c=2, c/d=1/2, d/e=3$ and $e/f=1/4$ then what is the value of $abc/def?$ $3/8$ $27/8$ $3/4$ $27/4$ $1/4$
If $a/b=1/3, b/c=2, c/d=1/2, d/e=3$ and $e/f=1/4$ then what is the value of $abc/def?$$3/8$$27/8$$3/4$$27/4$$1/4$
0 votes
1 answer
1844
CAT 2006 | Question: 52
Which among $2^{\frac{1}{2}} , 3^{\frac{1}{3}}, 4^{\frac{1}{4}}, 6^{\frac{1}{6}} \text{ and } 12^{\frac{1}{12}}$ is the largest? $2^{\frac{1}{2}}$ $3^{\frac{1}{3}}$ $4^{\frac{1}{4}}$ $6^{\frac{1}{6}}$ $12^{\frac{1}{12}}$
Which among $2^{\frac{1}{2}} , 3^{\frac{1}{3}}, 4^{\frac{1}{4}}, 6^{\frac{1}{6}} \text{ and } 12^{\frac{1}{12}}$ is the largest?$2^{\frac{1}{2}}$$3^{\frac{1}{3}}$$4^{\fra...
0 votes
1 answer
1845
CAT 2006 | Question: 51
If $x=-0.5$ then which of the following has the smallest value? $2^{\frac{1}{x}}$ $\frac{1}{x}$ $\frac{1}{x^2}$ $2^x$ $\frac{1}{\sqrt{-x}}$
If $x=-0.5$ then which of the following has the smallest value?$2^{\frac{1}{x}}$$\frac{1}{x}$$\frac{1}{x^2}$$2^x$$\frac{1}{\sqrt{-x}}$
0 votes
1 answer
1846
RACE
In a 800m race, A beats B by 80m and in 1000m race B beats C by 200m. If in 500m race A beats C by 35sec, then find the speed of B in m/s. A) 9m/s B) 8m/s C) 6m/s D) 5m/s
In a 800m race, A beats B by 80m and in 1000m race B beats C by 200m. If in 500m race A beats C by 35sec, then find the speed of B in m/s. A) 9m/s B) 8m/s C) 6m/s D) 5m/s...
0 votes
2 answers
1850
clock
number of minutes from 4 o clock to now is 5 times the number of minutes from now to 8 o clock.find present time. 1)6:20 2)6:40 3)7:20 4)7:30
number of minutes from 4 o clock to now is 5 times the number of minutes from now to 8 o clock.find present time.1)6:202)6:403)7:204)7:30
0 votes
1 answer
1851
relative speed
An artillery gun was fired twice at an interval of 24 sec. A jeep driver who is traveling towards the gun heard the sound after an interval of 22 sec. If the sound is traveling at the speed of 330 m/s, find the speed of jeep. (a) 11 m/s (b) 22 m/s (c)24 m/s (d) 30 m/s
An artillery gun was fired twice at an interval of 24 sec. A jeep driver who is traveling towards the gun heard the sound after an interval of 22 sec. If the sound is tra...
0 votes
1 answer
1852
speeed distance time
If a person increases his speed by 1 km/hr he reaches his office in 3/4th of the time he normally takes and if he decreases his speed by 1 km/hr, he reaches his office 2 hrs late. What distance dose the person travels to his office? (a) 10 kms (b) 8 kms (b) 12 kms (d) 9 kms
If a person increases his speed by 1 km/hr he reaches his office in 3/4th of the time he normally takes and if he decreases his speed by 1 km/hr, he reaches his office 2 ...
1 votes
1 answer
1853
escalator
Ajay walked down a descending escalator. He took 60 steps and reached the bottom in 60 sec. On another occasion he took 80 steps and reached the bottom in only 50 sec. Find the number of steps in escalator. (a) 160 (b) 180 (c) 200 (d) 240
Ajay walked down a descending escalator. He took 60 steps and reached the bottom in 60 sec. On another occasion he took 80 steps and reached the bottom in only 50 sec. Fi...
0 votes
2 answers
1854
profit and loss
A sells B a diamond at a profit of 30%. B sells it to C at a loss of 20%. What profit did A earn if C paid Rs.1040 for the diamond? (a) Rs.410 (b) Rs.200 (c) Rs.400 (d) Rs.140
A sells B a diamond at a profit of 30%. B sells it to C at a loss of 20%. What profit did A earn if C paid Rs.1040 for the diamond?(a) Rs.410 (b) Rs.200(c) Rs.400 (d) R...
0 votes
1 answer
1855
percentage
In an election between two candidates 10% of the votes polled were invalid. If the winning candidate got 52% of the total valid votes and wins by a majority of 160 votes, then how many valid votes other candidate got? (a) 1800 (b) 1600 (c) 1920 (d) 2220
In an election between two candidates 10% of the votes polled were invalid. If the winning candidate got 52% of the total valid votes and wins by a majority of 160 votes,...
0 votes
1 answer
1856
profit and loss
A bakery owner use to mark the cost of cake Rs.25 more than the cost of making. If the cost of making the cake is reduced by Rs.25, accordingly he offered a discount of 25% on the marked price of cake. If he still makes a profit of 25%, what is his initial cost price? (a) Rs.50 (b) Rs.75 (c) Rs.100 (d) Rs.125
A bakery owner use to mark the cost of cake Rs.25 more than the cost of making. If the cost of making the cake is reduced by Rs.25, accordingly he offered a discount of 2...
0 votes
1 answer
1857
number plate
A number plate should have 4 digits if first digit is 7 second digit is even natural number and last two digits are in ascending order then fond total no of different number plate possible? 1)225 2)144 3)180 4)135
A number plate should have 4 digits if first digit is 7 second digit is even natural number and last two digits are in ascending order then fond total no of different num...
0 votes
1 answer
1858
p and c
1) in how many ways one can enter hexagonal room having door on each wall that he exits from some different door? 2)how many tricolor flag can be designed from the rainbow color?
1) in how many ways one can enter hexagonal room having door on each wall that he exits from some different door?2)how many tricolor flag can be designed from the rainbow...
0 votes
1 answer
1859
pipes and cistern
Two taps t1 and t2 fill water at 12litres/min and 6 litres/min respectively.A leak pipe l can empty full tank in 10 min.If both taps and leak are opened tank can be filled in 15 min. How much is capacity of tank? 1)96 litre 2)108litres 3)120 litres 4)cant be determined
Two taps t1 and t2 fill water at 12litres/min and 6 litres/min respectively.A leak pipe l can empty full tank in 10 min.If both taps and leak are opened tank can be fille...
2 votes
1 answer
1860
circular track
A B C participate in race around circular track.A and B run in same direction while C in opposite direction.if speed of A B C are 10m/s 20m/s and 30 m/s respectively and length of track is 1000 m then after how much time they will meet for first time?
A B C participate in race around circular track.A and B run in same direction while C in opposite direction.if speed of A B C are 10m/s 20m/s and 30 m/s respectively and ...
0 votes
1 answer
1861
escalator
An escalator is moving downwards.P takes 30 steps to reach bottom from.top and Q takes 70 steps to reach top from bottom.Speed of P and Q are equal.How many steps are there in escalator? 1)42 2)45 3)50 4)60
An escalator is moving downwards.P takes 30 steps to reach bottom from.top and Q takes 70 steps to reach top from bottom.Speed of P and Q are equal.How many steps are the...
1 votes
1 answer
1863
simple and compound interest
The compound interest on a certain sum for 2 years is Rs.2520 and simple interest on the same sum of money at same rate of interest for 2 years is Rs.2400. Find the sum and rate of interest. (a) Rs.12000, 10% (b) Rs.18000, 6% (c) Rs.13600, 12% (d) Rs.24000, 5%
The compound interest on a certain sum for 2 years is Rs.2520 and simple interest on the same sum of money at same rate of interest for 2 years is Rs.2400. Find the sum a...
2 votes
1 answer
1867
mixture
In what proportion should milk and water be mixed to reduce the price of milk from Rs.18 per litre to Rs.16 per litre? (a) 8:1 (b) 10:1 (c) 6:1 (d) None of these
In what proportion should milk and water be mixed to reduce the price of milk from Rs.18 per litre to Rs.16 per litre?(a) 8:1 (b) 10:1(c) 6:1 (d) None of these
1 votes
1 answer
1868
mixture
A milkman has 50 litres of milk. Find quantity of water to be added in it so that he gets 20% profit by selling at its cost price?
A milkman has 50 litres of milk. Find quantity of water to be added in it so that he gets 20% profit by selling at its cost price?
2 votes
1 answer
1869
mixture
A drum is completely filled by mixture of milk n water. By replacing 12 litres of solution from drum by 12 litres of water, concentration of milk drops from 18% to 15%., find capacity of drum?
A drum is completely filled by mixture of milk n water. By replacing 12 litres of solution from drum by 12 litres of water, concentration of milk drops from 18% to 15%.,...
1 votes
1 answer
1870
average
Amit appears for exam and score of 75 marks per paper.If he had obtained 15 more marks in maths paper and 10 marks in science then his average marks would have been 80 out of 100.For how many paper Amit appears?
Amit appears for exam and score of 75 marks per paper.If he had obtained 15 more marks in maths paper and 10 marks in science then his average marks would have been 80 ou...
1 votes
1 answer
1871
average
A certain no of trucks were required to transport 60 tons of iron from company. However it was found that each truck could take 0.5 tons of cargo less and another 4 trucks were required. How many trucks were initially planned to use? 1)10 2)20 3)15 4)25
A certain no of trucks were required to transport 60 tons of iron from company. However it was found that each truck could take 0.5 tons of cargo less and another 4 truc...
2 votes
1 answer
1872
CAT 2007 | Question: 25
A function $f(x) $ satisfies $f(1)=3600$ and $f(1)+f(2)+ \dots + f(n) = n^2 f(n)$, for all positive integers $n>1.$ What is the value of $f(9)?$ $80$ $240$ $200$ $100$ $120$
A function $f(x) $ satisfies $f(1)=3600$ and $f(1)+f(2)+ \dots + f(n) = n^2 f(n)$, for all positive integers $n>1.$ What is the value of $f(9)?$$80$$240$$200$$100$$120$
3 votes
2 answers
1876
CAT 2007 | Question: 21
How many pairs of positive integers, $m, n$ satisfy $1/m +4/n=1/12$ where $n$ is an odd integer less than $60?$ $6$ $4$ $7$ $5$ $3$
How many pairs of positive integers, $m, n$ satisfy $1/m +4/n=1/12$ where $n$ is an odd integer less than $60?$$6$$4$$7$$5$$3$
1 votes
1 answer
1877
CAT 2007 | Question: 20
Suppose you have a currency, named Miso, in three denominations. $1$ Miso, $10$ Misos and $50$ Misos. In how many ways you can pay a bill of $107$ Misos? $17$ $16$ $18$ $15$ $19$
Suppose you have a currency, named Miso, in three denominations. $1$ Miso, $10$ Misos and $50$ Misos. In how many ways you can pay a bill of $107$ Misos?$17$$16$$18$$15$$...
0 votes
1 answer
1880
CAT 2007 | Question: 11
In a tournament, there are $n$ teams $T_1, T_2 ......., T$ with $n > 5$. Each team consists of $k$ players, $k>3$ ... in the tournament, considering all the $n$ teams together? $n(k-1)$ $k(n-1)$ $n(k-2)$ $k(k-2)$ $(n-1) (k-1)$
In a tournament, there are $n$ teams $T_1, T_2 ......., T$ with $n 5$. Each team consists of $k$ players, $k>3$. The following pairs of teams have one player in common:$...
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