CAT Practice Question and Answer
8Q: If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to ? 2403 05b5cc728e4d2b4197774f6c8
5b5cc728e4d2b4197774f6c8- 113/125false
- 214/57false
- 311/120true
- 416/41false
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Answer : 3. "11/120"
Explanation :
Answer: C) 11/120 Explanation: Let the numbers be a and b.We know that product of two numbers = Product of their HCF and LCMThen, a + b = 55 and ab = 5 x 120 = 600.=> The required sum = (1/a) + (1/b) = (a+b)/ab=55/600 = 11/120
Q: The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7 is ? 2402 05b5cc6dee4d2b4197774ea60
5b5cc6dee4d2b4197774ea60- 16false
- 29false
- 37false
- 45true
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Answer : 4. "5"
Explanation :
Answer: D) 5 Explanation: Arithmatic mean = sum/members => (1x1 + 2x2 + 3x3 + 4x4 + 5x5 + 6x6 + 7x7) / (1 + 2 + 3 + 4 + 5 + 6 + 7) => 140/28 = 5
Q: Find the next number in the given series 0.25, 8, 128, 1024, ? 2402 05b5cc6bce4d2b4197774d8b1
5b5cc6bce4d2b4197774d8b1- 14096true
- 22526false
- 38486false
- 42620false
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Answer : 1. "4096"
Explanation :
Answer: A) 4096 Explanation: Here given series follows a pattern that 0.25, 8, 128, 1024, ? 0.25 x 32 = 8 8 x 16 = 128 128 x 8 = 1024 1024 x 4 = 4096
Q: 5 men and 4 women are to be seated in a row so that the women occupy the even places . How many such arrangements are possible? 2398 15b5cc7d1e4d2b4197775129f
5b5cc7d1e4d2b4197775129f- 12880true
- 21440false
- 3720false
- 42020false
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Answer : 1. "2880"
Explanation :
Answer: A) 2880 Explanation: There are total 9 places out of which 4 are even and rest 5 places are odd. 4 women can be arranged at 4 even places in 4! ways. and 5 men can be placed in remaining 5 places in 5! ways. Hence, the required number of permutations = 4! x 5! = 24 x 120 = 2880
Q: A sold an article to B at 40% profit and B sold it to C at 50% profit, then what will be profit percent with respect to A ? 2398 05b5cc6e9e4d2b4197774ee3c
5b5cc6e9e4d2b4197774ee3c- 197 %false
- 2110 %true
- 3135 %false
- 4115 %false
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Answer : 2. "110 %"
Explanation :
Answer: B) 110 % Explanation: % Profit with respect to A = 40 + 50 + (40 x 50)/100 = 90 + 20 = 110 %.
Q: Two pipes A and B can fill a tank in 16 hrs and 12 hrs respectively. The capacity of the tank is 240 liters. Both the pipes are opened simultaneously and closed after 2 hrs. How much more water need to fill the tank? 2397 05b5cc6bbe4d2b4197774d802
5b5cc6bbe4d2b4197774d802- 170 litfalse
- 2170 littrue
- 390 litfalse
- 4190 litfalse
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Answer : 2. "170 lit"
Explanation :
Answer: B) 170 lit Explanation: Given A alone can fill the tank of capacity 240 lit in 16 hrs. => A can fill in 1 hr = 240/16 = 15 lit => B alone can fill the tank of capacity 240 lit in 12 hrs. => B can fill in 1 hr = 240/12 = 20 lit Now, (A + B) in 1 hr = 15 + 20 = 35 lit But they are opened for 2 hrs => 2 x 35 = 70 lit rae filled Remaining water to be filled in tank of 240 lit = 240 - 70 = 170 lit.
Q: Who has been elected as the first woman chairman of Indian Bank's Association (IB 2397 05b5cc6b2e4d2b4197774d3ae
5b5cc6b2e4d2b4197774d3ae- 1? A) Usha Ananthasubramaniantrue
- 2Shikha Sharmafalse
- 3Kaku Nakhatefalse
- 4A) Usha Ananthasubramanian B) Shikha Sharma C) Kaku Nakhate D)false
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Answer : 1. "?
A) Usha Ananthasubramanian"
Explanation :
Answer: A) Usha Ananthasubramanian Explanation:
Q: A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work ? 2396 05b5cc6e5e4d2b4197774ed3d
5b5cc6e5e4d2b4197774ed3d- 114 daystrue
- 218 daysfalse
- 321 deaysfalse
- 416 daysfalse
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Answer : 1. "14 days"
Explanation :
Answer: A) 14 days Explanation: Let A worked for x days. x/21 + 4/28 = 1 => x = 18 A worked for 18 days. So, A can complete the remaining work in 18 - 4 = 14 days.