CAT Practice Question and Answer
8Q: One-quarter of one-seventh of a land is sold for Rs. 30,000. What is the value of an four fifteenth of land ? 4989 05b5cc736e4d2b4197774f828
5b5cc736e4d2b4197774f828- 1Rs.1,92,000false
- 2Rs.2,24,000true
- 3Rs.1,26,000false
- 4Rs.3,42,000false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "Rs.2,24,000"
Explanation :
Answer: B) Rs.2,24,000 Explanation: One-quarter of one-seventh = 1/4 x 1/7= 1/28Now, 1/28 of a land costs = Rs. 30,000Thus, 8/35 of the land will cost = 30,000 x 28 x 4/15= Rs. 2,24,000.
Q: The length of a rope in meter by which a cow must be tethered in order that she may be able to graze an area of 2826 sq.m is ? 1107 05b5cc731e4d2b4197774f823
5b5cc731e4d2b4197774f823- 115 mtsfalse
- 230 mtstrue
- 324 mtsfalse
- 436 mtsfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "30 mts"
Explanation :
Answer: B) 30 mts Explanation: The cow can graze an area of 2826 sq.m i.e it is able to cover area of circle of 2826 sq.m Therefore, πr2 =2826r2 =(2826×7/22) = 899.18 = 900r = 30 m. Therefore, the radius of the circle implies the length of the rope = 30 mts.
Q: Two trains start from same place at same time at right angles to each other. Their speeds are 36km/hr and 48km/hr respectively. After 30 seconds the distance between them will be ? 2356 05b5cc731e4d2b4197774f819
5b5cc731e4d2b4197774f819- 1900 mtsfalse
- 2300 mtsfalse
- 3250 mtsfalse
- 4500 mtstrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "500 mts"
Explanation :
Answer: D) 500 mts Explanation: Using pythagarous theorem,distance travelled by first train = 36x5/18x30 = 300mdistance travelled by second train = 48x5/18x30 = 400mso distance between them =√( 90000 + 160000) = √250000 = 500mts.
Q: What is the right most integer of the expression 65776759 + 54697467 ? 9974 05b5cc731e4d2b4197774f81e
5b5cc731e4d2b4197774f81e- 14false
- 26false
- 39true
- 40false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "9"
Explanation :
Answer: C) 9 Explanation: Last digit for the power of 6 is 6 (always) Power cycle of 7 is 7, 9, 3, 1. Now 467/4 gives a remainder of 3 Then the last digit is 73 = 3 Last digit is 6 + 3 = 9.
Q: Statement: The Chairman stressed the need for making education system more flexible and regretted that the curriculum has not been revised in keeping with the pace of the changes taking place.Course of action:a. Curriculum should be reviewed and revised periodically.b. System of education should be made more flexible. 1788 05b5cc731e4d2b4197774f80f
5b5cc731e4d2b4197774f80f- 1Only a followsfalse
- 2Only b followsfalse
- 3Both a & b followstrue
- 4Neither a nor b followsfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "Both a & b follows"
Explanation :
Answer: C) Both a & b follows Explanation: Clearly, the situation demands making the education system more flexible and changing it periodically according to the needs of the time. So, both the courses follow.
Q: P and Q were assigned to do a work for an amount of 1200. P alone can do it in 15 days while Q can do it in 12 days. With the help of R they finish the work in 6 days. Find the share of R ? 2988 05b5cc731e4d2b4197774f814
5b5cc731e4d2b4197774f814- 1120true
- 2240false
- 3360false
- 4180false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "120"
Explanation :
Answer: A) 120 Explanation: 1/15 + 1/12 + 1/R = 1/6, we got R = 60 (it means R will take 60 days to complete the work alone) so ratio of work done by P:Q:R = 1/15 : 1/12 : 1/60 = 5 : 4 : 1 so R share = (1/10) x 1200 = 120.
Q: How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed ? 1282 05b5cc731e4d2b4197774f805
5b5cc731e4d2b4197774f805- 15040true
- 22525false
- 32052false
- 44521false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "5040"
Explanation :
Answer: A) 5040 Explanation: The Word LOGARITHMS contains 10 letters. To find how many 4 letter words we can form from that = P410 =10x9x8x7 = 5040.
Q: What is the next letter of the following sequence. N , O , M , P , L , Q , K , R , ? 4562 05b5cc731e4d2b4197774f80a
5b5cc731e4d2b4197774f80a- 1Sfalse
- 2Ifalse
- 3Jtrue
- 4Tfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "J"
Explanation :
Answer: C) J Explanation: Here the series has mixed two series.n m l k...! reverse alphabeto p q r ...! forward alphabetSo the letter before k is j and after that letter after r is s and so on...