CAT Practice Question and Answer
8Q: A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the daily wages of A, B and C respectively (in Rs): 1816 05b5cc7d0e4d2b419777511d6
5b5cc7d0e4d2b419777511d6- 1200, 250, 300false
- 2300, 200, 250true
- 3200, 300, 400false
- 4None of thesefalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "300, 200, 250"
Explanation :
Answer: B) 300, 200, 250 Explanation: A's 5 days work = 50% B's 5 days work = 33.33% C's 2 days work = 16.66% [100- (50+33.33)] Ratio of contribution of work of A, B and C = 50 : 3313 : 1623 = 3 : 2 : 1 A's total share = Rs. 1500 B's total share = Rs. 1000 C's total share = Rs. 500 A's one day's earning = Rs.300 B's one day's earning = Rs.200 C's one day's earning = Rs.250
Q: Two pipes A and B can fill a tank in 24 hours and 1717 hours respectively. Harihar opened the pipes A and B to fill an empty tank and some times later he closed the taps A and B , when the tank was supposed to be full. After that it was found that the tank was emptied in 2.5 hours because an outlet pipe "C" connected to the tank was open from the beginning. If Harihar closed the pipe C instead of closing pipes A and B the remaining tank would have been filled in : 9707 05b5cc7cfe4d2b419777511cc
5b5cc7cfe4d2b419777511cc- 12 hoursfalse
- 28 hourstrue
- 36 hoursfalse
- 44 hoursfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "8 hours"
Explanation :
Answer: B) 8 hours Explanation: Efficiency of Inlet pipe A = 4.16% 10024 Efficiency of Inlet pipe B = 5.83% 1001717 Therefore, Efficiency of A and B together = 100 % Now, if the efficiency of outlet pipe be x% then in 10 hours the capacity of tank which will be filled = 10 * (10 - x) Now, since this amount of water is being emptied by 'C' at x% per hour, then 10x10-xx=2.5 hrs => x = 8 Therefore, in 10 hours 20% tank is filled only. Hence, the remaining 80% of the capacity will be filled by pipes A and B in 80/10 = 8 hours
Q: How Many Prime ministers have conferred with Bharat Ratna upto November 2014 ? 1264 05b5cc7c1e4d2b41977750a3d
5b5cc7c1e4d2b41977750a3d- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer :
Explanation :
Six
Q: A Shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net Profit or loss that he makes? 6136 05b5cc7bbe4d2b419777509d7
5b5cc7bbe4d2b419777509d7- 14%true
- 25%false
- 36%false
- 48%false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "4%"
Explanation :
Answer: A) 4% Explanation: SP of first article = Rs.1000 Profit = 20% CP = SP x 100100+P% = Rs. 25003 SP of Second Article = Rs.1000 Loss = 20% CP = SP x 100100-L% = Rs. 1250 So, Total SP = Rs.2000; Total CP = Rs.6250/3 As the CP is more than SP, he makes a loss. Loss = CP - SP = (6250/3) - 2000 = Rs.(250/3) So, Loss Percent = Lossx100/CP = 4%
Q: By selling an article at Rs.800, a shopkeeper makes a profit of 25%.At what price should he sell the article so as to make a loss of 25%? 3895 05b5cc7bbe4d2b419777509d2
5b5cc7bbe4d2b419777509d2- 1Rs.720false
- 2Rs.640false
- 3Rs.540false
- 4Rs.480true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "Rs.480"
Explanation :
Answer: D) Rs.480 Explanation: SP = Rs.800 ; Profit = 25% CP = SP x 100100+P% = 800 x 100100+25 = 640 Now, CP = Rs.640 Loss = 25% = 25% of Rs.640 = Rs.160 Thus, SP = CP - Loss = Rs.640 - Rs.160 = Rs.480
Q: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares? 3214 05b5cc7bbe4d2b419777509cd
5b5cc7bbe4d2b419777509cd- 110000 and 15000true
- 215000 and 10000false
- 35000 and 20000false
- 420000 and 5000false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "10000 and 15000"
Explanation :
Answer: A) 10000 and 15000 Explanation: As both A and B invest the same amounts, the ratio of their profits at the end of the year is equal to the ratio of the time periods for which they have invested. Thus, the required ratio of their profits = A : B = 8 : 12 = 2 : 3. Hence, share of A in the total profit = 2 x 25000/5 = Rs.10000 Similarly, share of B in the total profit = 3 x 25000/5 = Rs.15000
Q: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days? 3386 05b5cc7bbe4d2b419777509be
5b5cc7bbe4d2b419777509be- 1710 acresfalse
- 2760 acresfalse
- 3810 acrestrue
- 4860 acresfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "810 acres"
Explanation :
Answer: C) 810 acres Explanation: 12 men120 acres36 days54 men?54 days As 12 men can reap 120 acres, 54 men will be able to reap more acres in 36 days, 120 acres of land was reaped, so in 54 days, more land will be reaped. Thus, the numbers of acres that can be reaped by 54 men in 54 days = 5412x120x5436 = 810 acres
Q: Sumanth walks 200 feet straight from his house, which is facing north and then he walks 100 feet in reverse direction.Further he takes a left turn and walks 300 yards.In Which direction is Sumanth now from his original position? 1712 05b5cc7b9e4d2b41977750941
5b5cc7b9e4d2b41977750941- 1South-Eastfalse
- 2North-Easttrue
- 3South-Westfalse
- 4North-Westfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "North-East"
Explanation :
Answer: B) North-East Explanation: Starting From his house, Sumanth walks 200 feet straight towards North; we can write it as N200. Similarly, the other distances and directions can be considered and written as follows : (Notice that he covers 300 yards towards East; one yard = 3 feet and hence 300 yards = 900 feet) N200S100E900 Adding all south and all North distances and finding the net result, and also adding all East and all West distances and finding the net result, this can further be summarized as : N100E900 Thus, the direction from his original position is North-East.