CAT Practice Question and Answer
8Q: The sides of a right-angled triangle are 12 cm, 16 cm, 20 cm respectively. A new right angle Δ is made by joining the midpoints of all the sides. This process continues for infinite then calculate the sum of the areas of all the triangles so made. 2300 05b5cc6b7e4d2b4197774d62e
5b5cc6b7e4d2b4197774d62e- 1312 sq.cmfalse
- 2128 sq.cmtrue
- 3412 sq.cmfalse
- 4246 sq.cmfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "128 sq.cm"
Explanation :
Answer: B) 128 sq.cm Explanation: Area = = 96 Sum of Area =
Q: How many inches is 5' 4"? 2298 05b5cc64de4d2b4197774bc6b
5b5cc64de4d2b4197774bc6b- 166false
- 264true
- 362false
- 460false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "64"
Explanation :
Answer: B) 64 Explanation: We know 1 feet = 12 inches. According to the question, 5' 4'' = 5 feet 4 inches = 12 x 5 + 4 = 64 inches. Hence, 5' 4'' = 5 feet 4 inches = 64 inches.
Q: A batsman scored 180 runs which included 11 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets ? 2298 05b5cc75ce4d2b4197774fc4d
5b5cc75ce4d2b4197774fc4d- 162.45%false
- 251.42%false
- 348.88%true
- 447.32%false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "48.88%"
Explanation :
Answer: C) 48.88% Explanation: Number of runs made by running = 180 - (11 x 4 + 8 x 6)= 180 - (92)= 88Now, we need to calculate 88 is what percent of 180.⇒88180×100 = 48.888%.
Q: Eric is the son of Tom who is the brother of Jerry who is the daughter of Sin. Doremon is the sister of Popoy who is son of Chain. Ivanka is the daughter of Popoy who is the husband of Jerry. Sin is the male person and Chain is the female person. How is Ivanka related to Eric ? 2298 05b5cc6b9e4d2b4197774d6e9
5b5cc6b9e4d2b4197774d6e9- 1Cousin sistertrue
- 2Nephewfalse
- 3Niecefalse
- 4Daughterfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "Cousin sister"
Explanation :
Answer: A) Cousin sister Explanation: Since Eric's father and Ivanka's mother are Brother and sister, => Ivanka is Eric's Aunt Daughter => Cousin Sister.
Q: The series of differences between consecutive prime numbers is represented as Cp1, Cp2, Cp3, .... Cpn , Whare Cp1 is the difference between the second and the first prime number. Find the sum of series when n = 23, given that the 23rd prime number is 83 ? 2297 05b5cc6fbe4d2b4197774f09f
5b5cc6fbe4d2b4197774f09f- 187true
- 281false
- 383false
- 485false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "87"
Explanation :
Answer: A) 87 Explanation: Cp1 = p2 - p1 , Cp2 = p3 - p2 ......Cp23 = p24 - p23Sum of series = (p2-p1) + (p3-p2) + .....(p23-p22) + (p24-p23)All terms get cancelled, except p1 = 2 and p24 = 89 So Sum = -p1 + p24Sum of series = -2 + 89 = 87
Q: A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey ? 2297 05b5cc6dce4d2b4197774e997
5b5cc6dce4d2b4197774e997- 15 kmphfalse
- 27 kmphfalse
- 33 kmphfalse
- 44 kmphtrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "4 kmph"
Explanation :
Answer: D) 4 kmph Explanation: Speed of Man = 4.5 kmphSpeed of stream = 1.5 kmphSpeed in DownStream = 6 kmphSpeed in UpStream = 3 kmphAverage Speed = (2 x 6 x 3)/9 = 4 kmph.
Q: The threshold limit upto which coins can be issued as per the Coinage Act 2011 ? 2297 05b5cc6c1e4d2b4197774db46
5b5cc6c1e4d2b4197774db46- 1100false
- 2200false
- 3500false
- 41000true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "1000"
Explanation :
Answer: D) 1000 Explanation:
Q: If a student walks at the rate of 4 mts/min from his home, he is 4 minutes late for school, if he walks at the rate of 6 mts/min he reaches half an hour earlier. How far is his school from his home ? 2296 05b5cc764e4d2b4197774fd80
5b5cc764e4d2b4197774fd80- 1100 mtsfalse
- 296 mtsfalse
- 398 mtstrue
- 4120 mtsfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "98 mts"
Explanation :
Answer: C) 98 mts Explanation: Let the distance between home and school is 'x'.Let actual time to reach be 't'.Thus, x/4 = t + 4 ---- (1)and x/6 = t - 30 -----(2)Solving equation (1) and (2)=> x = 98 mts.