CAT Practice Question and Answer
8Q: It costs Rs. p each to send the first thousand messsages and Rs. q to send each subsequent one . If r is greater than 1,000, how many Rupees will it cost to send r messages ? 2146 05b5cc6cfe4d2b4197774e2ef
5b5cc6cfe4d2b4197774e2ef- 11000 (r - p) + pqfalse
- 21000 p + qrfalse
- 31000 (r - q) + prfalse
- 41000(p - q) + qrtrue
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Answer : 4. "1000(p - q) + qr"
Explanation :
Answer: D) 1000(p - q) + qr Explanation: We need to find the total cost to send r messsages, r > 1000. The first 1000 messsages will cost Rs.p each (Or) The total cost of first 1000 messsages = Rs.1000p The remaining (r - 1000) messsages will cost Rs.q each (Or) The cost of the (r - 1000) = Rs.(r - 1000)y Therefore, total cost = 1000p + rq - 1000q = 1000(p - q) + qr
Q: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is ? 2146 05b5cc6d7e4d2b4197774e6e2
5b5cc6d7e4d2b4197774e6e2- 142 secfalse
- 244 secfalse
- 346 secfalse
- 448 sectrue
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Answer : 4. "48 sec"
Explanation :
Answer: D) 48 sec Explanation: Relative speed = 60 + 90 = 150 km/hr. = 150 x 5/18 = 125/3 m/sec. Distance covered = 1.10 + 0.9 = 2 km = 2000 m. Required time = 2000 x 3/125 = 48 sec.
Q: Choose what replaces '?' in the following figure ? 2145 05b5cc758e4d2b4197774fc19
5b5cc758e4d2b4197774fc19- 1Qfalse
- 2Ofalse
- 3Mfalse
- 4Ntrue
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Answer : 4. "N"
Explanation :
Answer: D) N Explanation: The alphabetical value of the letters in the left hand column follows through the sequence of Prime Numbers, with the letters in the right hand column representing the corresponding reverse alphabetical values. So, M = Reverse of M = N.
Q: If 1/a+1/b+1/c = 1/(a+b+c) where a+b+c not equals '0', abc not equals '0', What is the value of (a+b) (b+c) (a+c) ? 2144 05b5cc709e4d2b4197774f258
5b5cc709e4d2b4197774f258- 13false
- 22false
- 31false
- 40true
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Answer : 4. "0"
Explanation :
Answer: D) 0 Explanation: Let assume the value of a,b &c that will satisfy the equation.so a=1,b=1,c= -1 or a=1,b= -1 &c=1 or a= -1,b=1,c=1here all three cases satisfy the equationassume any one a=1,b=1,c= -1 Hence (a+b)(b+c)(c+a)=(1+1)(1-1)(-1+1) = 0
Q: What is the main function of international monetary fund ? 2144 05b5cc6d5e4d2b4197774e5e8
5b5cc6d5e4d2b4197774e5e8- 1Help to solve Balance of Payment problems of member countriestrue
- 2Act as private sector lending arm of the World Bankfalse
- 3Finance investment loans to developing countriesfalse
- 4Arrange international deposits from banksfalse
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Answer : 1. "Help to solve Balance of Payment problems of member countries"
Explanation :
Answer: A) Help to solve Balance of Payment problems of member countries Explanation:
Q: Which gas is known as "Fuel of Future" ? 2144 05b5cc6c3e4d2b4197774dc45
5b5cc6c3e4d2b4197774dc45- 1Methanefalse
- 2Oxygenfalse
- 3Neonfalse
- 4Hydrogentrue
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Answer : 4. "Hydrogen"
Explanation :
Answer: D) Hydrogen Explanation: Because of its being pollution free and combustion efficient, Hydrogen gas is called fuel of future. Because of its origin in marshy places, Methane is called as 'Marsh Gas'.
Q: In how many ways the letters of the word OLIVER be arranged so that the vowels in the word always occur in the dictionary order as we move from left to right ? 2144 05b5cc6cae4d2b4197774e045
5b5cc6cae4d2b4197774e045- 1186false
- 2144false
- 3136false
- 4120true
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Answer : 4. "120"
Explanation :
Answer: D) 120 Explanation: In given word OLIVER there are 3 vowels E, I & O. These can be arranged in only one way as dictionary order E, I & O. There are 6 letters in thegiven word. First arrange 3 vowels. This can be done in 6C3 ways and that too in only one way.(dictionary order E, I & O) Remaining 3 letters can be placed in 3 places = 3! ways Total number of possible ways of arranging letters of OLIVER = 3! x C36 ways = 6x5x4 = 120 ways.
Q: The new product development process usually starts with 2143 05b5cc6b4e4d2b4197774d4d9
5b5cc6b4e4d2b4197774d4d9- 1idea generationtrue
- 2market strategy developmentfalse
- 3concept developmentfalse
- 4idea screeningfalse
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Answer : 1. "idea generation"
Explanation :
Answer: A) idea generation Explanation:

