CAT Practice Question and Answer
8Q: The calendar for the year 2018 will be the same for the year 3097 05b5cc6ace4d2b4197774d096
5b5cc6ace4d2b4197774d096- 12023false
- 22027false
- 32029true
- 42022false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "2029"
Explanation :
Answer: C) 2029 Explanation: How to find the years which have the same Calendars : Leap year calendar repeats every 28 years. Here 28 is distributed as 6 + 11 + 11. Rules: a) If given year is at 1st position after Leap year then next repeated calendar year is Givenyear+6. b) If given year is at 2nd position after Leap year then next repeated calendar year is Givenyear+11. c) If given year is at 3rd position after Leap year then next repeated calendar year is Givenyear+11. Now, the given year is 2018 We know that 2016 is a Leap year. 2016 2017 2018 2019 2020 Lp Y 1st 2nd 3rd Lp Y Here 2018 is at 2 nd position after the Leap year. According to rule b) the calendar of 2018 is repeated for the year is 2018 + 11 = 2029.
Q: In what time will Rs. 3300 becomes Rs. 3399 at 6% per annum interest compounded half-yearly ? 3088 05b5cc701e4d2b4197774f175
5b5cc701e4d2b4197774f175- 1Quarter monthsfalse
- 2Half yeartrue
- 32 yearsfalse
- 41 yearfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "Half year"
Explanation :
Answer: B) Half year Explanation: 3300 ----- 3% ↑ (1st time interval, 99) → 3399. Here, time interval is given as half-yearly i.e. 6 months.
Q: Running 3/4th of his usual rate, a man is 15min late. Find his usual time in hours ? 3081 05b5cc6d8e4d2b4197774e782
5b5cc6d8e4d2b4197774e782- 12/3 hrsfalse
- 23/4 hrstrue
- 31/3 hrsfalse
- 41/4 hrsfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "3/4 hrs"
Explanation :
Answer: B) 3/4 hrs Explanation: Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time. In other words, the time taken is 1/3rd more than his usual time so 1/3rd of the usual time = 15minor usual time = 3 x 15 = 45min = 45/60 hrs = 3/4 hrs.
Q: A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group ? 3081 05b5cc6dde4d2b4197774e9d3
5b5cc6dde4d2b4197774e9d3- 1600true
- 2610false
- 3609false
- 4599false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "600"
Explanation :
Answer: A) 600 Explanation: Two men, three women and one child can be selected in ⁴C₂ x ⁶C₃ x ⁵C₁ ways = 600 ways.
Q: The largest proportion of federal revenues comes from 3080 05b5cc699e4d2b4197774c6e7
5b5cc699e4d2b4197774c6e7- 1borrowingfalse
- 2excise taxesfalse
- 3social insurance taxesfalse
- 4personal income taxestrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "personal income taxes"
Explanation :
Answer: D) personal income taxes Explanation: The largest proportion of federal revenues comes from personal income taxes. Almost half of all federal revenue (47 percent) comes from individual income taxes.
Q: In a hostel, there was food for 1000 students for one month. After 10 days, 1000 more students joined the hostel. How long would the students be able to carry on with the remaining food? 3074 05b5cc774e4d2b41977750025
5b5cc774e4d2b41977750025- 110 daystrue
- 215 daysfalse
- 320 daysfalse
- 45 daysfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "10 days"
Explanation :
Answer: A) 10 days Explanation: After 10 days, the remaining food would be sufficient for the 1000 students for 20 more days -->If 1000 more students are added, it shall be sufficient for only 10 days (as the no. of students is doubled, the days are halved).
Q: A girl counted in the following way on the fingers of her left hand : She started by calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direction calling the ring finger 6, middle finger 7 and so on. She counted upto 1995. She ended counting on which finger ? 3073 05b5cc723e4d2b4197774f66d
5b5cc723e4d2b4197774f66d- 1Thumbfalse
- 2Index fingerfalse
- 3Ring fingerfalse
- 4Middle fingertrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "Middle finger"
Explanation :
Answer: D) Middle finger Explanation: Clearly, while counting the numbers associated to the thumb will be 1,9,17,25,.........i.e., numbers of the form (8n + 1 ).where n=1,2,3...Since 1994 = 249 × 8 + 2, so 1993 shall correspond to the thumb and 1994 to the index finger and 1995 to the middle finger.
Q: If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ? 3070 15b5cc761e4d2b4197774fd67
5b5cc761e4d2b4197774fd67- 11false
- 22true
- 34false
- 48false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "2"
Explanation :
Answer: B) 2 Explanation: Given a2 + b2 = c2 Now 1logc+ab + 1logc-ab = logbc+a + logbc-a = logbc2-a2 = 2logbb = 2