CAT Practice Question and Answer
8Q: If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is 25/51. What is the original fraction ? 2244 05b5cc73ae4d2b4197774f8a1
5b5cc73ae4d2b4197774f8a1- 131/25false
- 215/17true
- 314/25false
- 411/16false
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Answer : 2. "15/17"
Explanation :
Answer: B) 15/17 Explanation: The original fraction is 2551 × 350+100150+100 = 15/17.
Q: In agroup of six women, there are four dancers, four vocal musicians, one actress and three violinists. Girija and Vanaja are among the violinists while Jalaja and Shailaja do not know how to ply on the violin. Shailaja and Tanuja are among the dancers. Jalaja, Vanaja, Shailaja and Tanuja are all vocal musicians and two of them are also violinists. If Pooja is an actress, who among the following is both a dancer and a violinist ? 2243 05b5cc758e4d2b4197774fbfe
5b5cc758e4d2b4197774fbfe- 1Shailajafalse
- 2Vanajafalse
- 3Girijafalse
- 4Tanujatrue
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Answer : 4. "Tanuja"
Explanation :
Answer: D) Tanuja Explanation: The four vocal musicians and one actress in the group are given. Two dancers are Shailaja and Tanuja. Two violinists are Girija and Vanaja. Since Jalaja and Shailaja cannot be violinists, so remaining two violinists are Tanuja and Pooja. Clearly, Tanuja is both a violinist and a dancer.
Q: A motorboat can go 10 miles downstream on a river in 20 min. It takes 30 min for this boat to go back at the same 10 miles. Find the speed of the current ? 2243 05b5cc6bfe4d2b4197774da29
5b5cc6bfe4d2b4197774da29- 18 m/hfalse
- 25 m/htrue
- 37 m/hfalse
- 46 m/hfalse
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Answer : 2. "5 m/h"
Explanation :
Answer: B) 5 m/h Explanation: As the distance travelled is constant, the time taken is inversely proportional to speed. Let 'u' be the speed of the current and 'v' be the speed of the boat. Speed of the boat downstream = v + u & upstream = v - u => v+u/v-u = 30/20 => v/u = 5 => v = 5u => v + u = 6u = 10/20/60 miles/hr => 6u = 30 m/h => u = 5 m/h
Q: The sum of three consecutive multiples of 3 is 72. What is the second largest number ? 2241 05b5cc6d8e4d2b4197774e7ba
5b5cc6d8e4d2b4197774e7ba- 127false
- 224true
- 321false
- 442false
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Answer : 2. "24"
Explanation :
Answer: B) 24 Explanation: Let the numbers be 3x, 3x + 3 and 3x + 6.Then,3x + (3x + 3) + (3x + 6) = 729x = 63x = 7Largest number = 3x + 6 = 27. => Second largest number = 27 - 3 = 24
Q: Length of train is 170 meters and speed of train is 63 km/hour. This train can pass a bridge in 30 seconds, then find the length of the bridge. 2241 05b5cc76fe4d2b4197774ff49
5b5cc76fe4d2b4197774ff49- 1355 mtstrue
- 2325 mtsfalse
- 3365 mtsfalse
- 4312 mtsfalse
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Answer : 1. "355 mts"
Explanation :
Answer: A) 355 mts Explanation: Given speed = 63 km/hr = 63×518=352 m/s Let the length of the bridge = x mts Given time taken to cover the distance of (170 + x)mts is 30 sec. We know speed = distancetimem/s ⇒352=170+x30 --> x = 355 mts.
Q: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man ? 2241 05b5cc6d7e4d2b4197774e728
5b5cc6d7e4d2b4197774e728- 14.58 kmsfalse
- 26.35 kmsfalse
- 35.76 kmstrue
- 45.24 kmsfalse
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Answer : 3. "5.76 kms"
Explanation :
Answer: C) 5.76 kms Explanation: Speed in still water = 6 kmph Stream speed = 1.2 kmph Down stream = 7.2 kmph Up Stream = 4.8 kmph x/7.2 + x/4.8 = 1 x = 2.88 Total Distance = 2.88 x 2 = 5.76 kms
Q: MS-EXCEL is based on 2239 05b5cc62ce4d2b4197774b923
5b5cc62ce4d2b4197774b923- 1OS/2false
- 2UNIXfalse
- 3WINDOWStrue
- 4DOSfalse
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Answer : 3. "WINDOWS"
Explanation :
Answer: C) WINDOWS Explanation: Microsoft Excel is a spreadsheet developed by Microsoft for Windows, macOS, Android and iOS. It features calculation, graphing tools, pivot tables, and a macro programming language called Visual Basic for Applications.
Q: Find the next number in the following number series? 11, 13, 30, 96, ? 2236 05b5cc688e4d2b4197774c318
5b5cc688e4d2b4197774c318- 1264false
- 2392true
- 3412false
- 4459false
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Answer : 2. "392"
Explanation :
Answer: B) 392 Explanation: The given number series 11, 13, 30, 96, ? follows a pattern that, 11 11 x 1 + 2 = 13 13 x 2 + 4 = 30 30 x 3 + 6 = 96 96 x 4 + 8 = 392 Hence, the next number in the given series is 392.