CAT Practice Question and Answer
8Q: A,B and C enter into a partnership in the ratio 72:43:65. After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B's share in the profit is : 2032 05b5cc783e4d2b419777501ec
5b5cc783e4d2b419777501ec- 1Rs. 4000true
- 2Rs. 6000false
- 3Rs. 9000false
- 4Rs. 3000false
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Answer : 1. "Rs. 4000"
Explanation :
Answer: A) Rs. 4000 Explanation: Given ratio of initial investments = 72:43:65 = 105 : 40 : 36. Let the initial investments be 105x, 40x and 36x. ∴A:B:C = 105x×4 + 150100×105x×8 : 40x×12 : 36x×12 = 1680x : 480x : 432x = 35 : 10 : 9. Hence, B's share = 21600×1054 = Rs. 4000.
Q: A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is : 1726 05b5cc783e4d2b419777501e7
5b5cc783e4d2b419777501e7- 19.5 km/hrfalse
- 210 km/hrtrue
- 310.5 km/hrfalse
- 411 km/hrfalse
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Answer : 2. "10 km/hr"
Explanation :
Answer: B) 10 km/hr Explanation: Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr. Therefore, Man's rate against the current = (12.5 - 2.5) = 10 km/hr.
Q: 3131×31-27 =? 1605 05b5cc783e4d2b419777501e2
5b5cc783e4d2b419777501e2- 1961 x 861false
- 2961 x 961true
- 3961 x 2false
- 429791false
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Answer : 2. "961 x 961"
Explanation :
Answer: B) 961 x 961 Explanation: We know that am×an=am+n ∴3131-27 = 314 = 961 x 961.
Q: 3125 256 ? 4 1 Which number replaces the "?" in the question? 2769 05b5cc77fe4d2b419777501dd
5b5cc77fe4d2b419777501dd- 127true
- 2128false
- 332false
- 464false
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Answer : 1. "27"
Explanation :
Answer: A) 27 Explanation: In the given series numbers are arranged following the rule, 55,44, 33, 22, 11 Therefore, the missing number is 27.
Q: A person takes a loan of Rs. 200 at 5% simple interest. He returns Rs.100 at the end of one year. In order clear his dues at the end of 2 years, he would pay : 1874 05b5cc77fe4d2b419777501d8
5b5cc77fe4d2b419777501d8- 1Rs. 100false
- 2Rs. 105false
- 3Rs. 115true
- 4Rs. 110false
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Answer : 3. "Rs. 115"
Explanation :
Answer: C) Rs. 115 Explanation: Amount to be paid = Rs.100+200×5×1100+100×5×1100= Rs. 115.
Q: If 3x-y=27, 3x+y=243 then find the x value 1950 05b5cc77fe4d2b419777501d3
5b5cc77fe4d2b419777501d3- 12false
- 28false
- 34true
- 41false
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Answer : 3. "4"
Explanation :
Answer: C) 4 Explanation: Given that 3x-y=27, 3x+y=243 ⇒3x-y =33 , 3x+y=35 => x-y=3, x+y=5 => x = 4
Q: A container contains 50 litres of milk. From that 8 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container ? 2134 05b5cc77fe4d2b419777501ce
5b5cc77fe4d2b419777501ce- 124.52 litresfalse
- 229.63 litrestrue
- 328.21 litresfalse
- 425.14 litresfalse
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Answer : 2. "29.63 litres"
Explanation :
Answer: B) 29.63 litres Explanation: Given that container has 50 litres of milk. After replacing 8 litres of milk with water for three times, milk contained in the container is: ⇒501-8503 ⇒50×4250×4250×4250 = 29.63 litres.
Q: Find the ratio of the areas of the incircle and circumcircle of a square ? 1520 05b5cc77fe4d2b419777501c9
5b5cc77fe4d2b419777501c9- 11 : 4false
- 24 : 1false
- 32 : 1false
- 41 : 2true
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Answer : 4. "1 : 2"
Explanation :
Answer: D) 1 : 2 Explanation: Let the side of the square be x. Then, its diagonal = 2x. Radius of incircle = x/2 and radius of circumcircle =2x2 . Therefore, required ratio = πx24:πx22 = 14:12=1:2