👆Ans. B
Explanation:
➡️ Speed of ship upstream = 40 – 10 = 30 kmph
➡️ Speed of ship in still water = 40 kmph
➡️ Time taken by the ship to reach its destination when it sails upstream = distance covered /upstream speed = 120/30 = 4 hours
➡️ Time taken by the ship to reach its destination, when it sails in still water = distance covered/speed of ship in still water = 120/40 = 3 hours
➡️ Extra time taken = 4 - 3 = 1 hour
➡️ Percentage of extra time the ship will take to reach its destination when it sails upstream than that in still water (i.e. Percent increase in time) = (1/3) × 100 = (100/3)%
Share & Join: @CSAT_2023
Explanation:
➡️ Speed of ship upstream = 40 – 10 = 30 kmph
➡️ Speed of ship in still water = 40 kmph
➡️ Time taken by the ship to reach its destination when it sails upstream = distance covered /upstream speed = 120/30 = 4 hours
➡️ Time taken by the ship to reach its destination, when it sails in still water = distance covered/speed of ship in still water = 120/40 = 3 hours
➡️ Extra time taken = 4 - 3 = 1 hour
➡️ Percentage of extra time the ship will take to reach its destination when it sails upstream than that in still water (i.e. Percent increase in time) = (1/3) × 100 = (100/3)%
Share & Join: @CSAT_2023
❤1👍1
In a certain police station, 20 officers are in ATS and 14 officers are in cyber security. 8 officers belong to both ATS and cyber security. How many officers belong to cyber security only or ATS only?
Anonymous Quiz
10%
(a) 14
22%
(b) 12
65%
(c) 18
3%
(d) 9
❤1
👆Ans. C
Explanation:
➡️ Number of Officers in ATS, n(A) = 20
➡️ Number of Officers in cyber security, n(C) = 14
➡️ Number of Officers in both ATS and cyber security = n(A ∩ C) = 8
➡️ So, Number of Officers only in ATS = 20 – 8 = 12
➡️ Number of Officers only in cyber security = 14 – 8 = 6
➡️ Hence, number of officers only in ATS or only in cyber security = 12 + 6 = 18
Share & Join: @CSAT_2023
Explanation:
➡️ Number of Officers in ATS, n(A) = 20
➡️ Number of Officers in cyber security, n(C) = 14
➡️ Number of Officers in both ATS and cyber security = n(A ∩ C) = 8
➡️ So, Number of Officers only in ATS = 20 – 8 = 12
➡️ Number of Officers only in cyber security = 14 – 8 = 6
➡️ Hence, number of officers only in ATS or only in cyber security = 12 + 6 = 18
Share & Join: @CSAT_2023
❤2
Vedprakash and Sain Singh are preparing for Civil Services Examinations, and read The Hindu & Indian Express newspapers respectively. In the test in which they both appear, Vedprakash gets 30% questions from the newspaper he reads, and Sain gets 20% questions from the newspaper he reads. 10% of total questions are from both newspapers. If the test has 100 questions, how many questions in total have been covered by these two newspapers together?
(a) 10
(b) 40
(c) 50
(d) 55
Share & Join: @CSAT_2023
(a) 10
(b) 40
(c) 50
(d) 55
Share & Join: @CSAT_2023
Select the correct answer using the codes given below.
Anonymous Quiz
11%
Option A
61%
Option B
24%
Option C
4%
Option D
❤1👍1
👆Ans. B
Explanation:
➡️ Total number of questions in the test = 100
➡️ Number of questions from The Hindu = H = 30% of 100 = 30
➡️ Number of questions from Indian Express = I = 20% of 100 = 20
➡️ Number of questions from both The Hindu and Indian Express = H ꓵ I = 10% of 100 = 10
➡️ (Here ꓵ denotes intersection)
➡️ Hence, total number of questions covered by these two newspapers together, H ꓴ I = H + I - (H ꓵ I) = 30 + 20 – 10 = 40
Share & Join: @CSAT_2023
Explanation:
➡️ Total number of questions in the test = 100
➡️ Number of questions from The Hindu = H = 30% of 100 = 30
➡️ Number of questions from Indian Express = I = 20% of 100 = 20
➡️ Number of questions from both The Hindu and Indian Express = H ꓵ I = 10% of 100 = 10
➡️ (Here ꓵ denotes intersection)
➡️ Hence, total number of questions covered by these two newspapers together, H ꓴ I = H + I - (H ꓵ I) = 30 + 20 – 10 = 40
Share & Join: @CSAT_2023
❤1👍1
40 parents came for a parents-teacher meeting in a school. Some parents can understand only Hindi and some can understand only English, while there are 10 parents who can understand both languages. If the number of parents who can understand Hindi is 20, then how many parents can understand only English and only Hindi respectively?
(a) 10, 30
(b) 20, 10
(c) 30, 20
(d) 20, 30
Share & Join: @CSAT_2023
(a) 10, 30
(b) 20, 10
(c) 30, 20
(d) 20, 30
Share & Join: @CSAT_2023
👍2❤1
Select the correct answer using the codes given below.
Anonymous Quiz
14%
Option A
64%
Option B
17%
Option C
6%
Option D
❤1
👆Ans. B
Explanation:
➡️ Number of parents who can understand Hindi only = 20 – 10 = 10
➡️ Number of parents who can understand English only = Total number of parents – number of parents who can understand Hindi = 40 – 20 = 20
➡️ Thus, 20 parents can understand English only and 10 parents can understand Hindi only.
Share & Join: @CSAT_2023
Explanation:
➡️ Number of parents who can understand Hindi only = 20 – 10 = 10
➡️ Number of parents who can understand English only = Total number of parents – number of parents who can understand Hindi = 40 – 20 = 20
➡️ Thus, 20 parents can understand English only and 10 parents can understand Hindi only.
Share & Join: @CSAT_2023
❤1
A number is multiplied by six; then its decimal point is moved to the left by three spaces. This is the same as what percent of the number?
Anonymous Quiz
8%
(a) 3/100 %
60%
(b) 3/5 %
21%
(c) 3/50 %
10%
(d) 6 %
❤1👍1🔥1
👆Ans. B
Explanation:
➡️ Let's do these two things to 100.
➡️ Multiplying 100 by 6 yields 600; moving the decimal point three places to the left changes 600, or 600.0, to 0.60.
➡️ This means that the new number is 0.60% , or 3/5 %, of the original number.
Share & Join: @CSAT_2023
Explanation:
➡️ Let's do these two things to 100.
➡️ Multiplying 100 by 6 yields 600; moving the decimal point three places to the left changes 600, or 600.0, to 0.60.
➡️ This means that the new number is 0.60% , or 3/5 %, of the original number.
Share & Join: @CSAT_2023
❤1👍1
A museum has an average of 640 visitors on each Saturdays and Sundays, while 310 visitors on other days. The average number of visitors per day in a month of 30 days beginning with a Saturday is-
Anonymous Quiz
6%
(a) 560
26%
(b) 240
14%
(c) 620
53%
(d) 420
❤1👍1
👆Ans. D
Explanation:
➡️ In a month of 30 days beginning with Saturday, we will have 5 Saturdays, 5 Sundays and 20 Other days.
➡️ Visitors on 5 Saturdays = 640 × 5 = 3200
➡️ Visitors on 5 Sundays = 640 × 5 = 3200
➡️ Visitors on Other days = 310 × 20 = 6200
➡️ So, Total number of visitors in 30 days = 3200 + 3200 + 6200 = 12600
➡️ Average number of visitors per day = 12600/30 = 420
Share & Join: @CSAT_2023
Explanation:
➡️ In a month of 30 days beginning with Saturday, we will have 5 Saturdays, 5 Sundays and 20 Other days.
➡️ Visitors on 5 Saturdays = 640 × 5 = 3200
➡️ Visitors on 5 Sundays = 640 × 5 = 3200
➡️ Visitors on Other days = 310 × 20 = 6200
➡️ So, Total number of visitors in 30 days = 3200 + 3200 + 6200 = 12600
➡️ Average number of visitors per day = 12600/30 = 420
Share & Join: @CSAT_2023
❤2
Rohan works in a sanitizer factory. In a 176 ltr mixture of glycer and alcohol, there’s 80% alcohol. How much alcohol should be evaporated from the mixture to reduce its percentage to 60%?
Anonymous Quiz
10%
(a) 78 ltr
63%
(b) 88 ltr
23%
(c) 72 ltr
4%
(d) 76 ltr
❤1
👆Ans. B
Explanation:
➡️ Ratio of glycer and alcohol in the mixture = 20 : 80 = 1 : 4
➡️ So, Quantity of glycer in the solution = 176 × 1/(1 + 4) = 35.2 ltr
➡️ So, quantity of alcohol in the solution = 176 – 35.2 = 140.8 ltr
➡️ In the final mixture, alcohol is 60% and glycol is 40%.
➡️ 40% corresponds to 35.2 litres.
➡️ 60% corresponds to 35.2 × (60%/40%) = 52.8 litres.
➡️ So, Quantity of alcohol that should be evaporated = 140.8 litr – 52.8 ltr = 88 ltr
Share & Join: @CSAT_2023
Explanation:
➡️ Ratio of glycer and alcohol in the mixture = 20 : 80 = 1 : 4
➡️ So, Quantity of glycer in the solution = 176 × 1/(1 + 4) = 35.2 ltr
➡️ So, quantity of alcohol in the solution = 176 – 35.2 = 140.8 ltr
➡️ In the final mixture, alcohol is 60% and glycol is 40%.
➡️ 40% corresponds to 35.2 litres.
➡️ 60% corresponds to 35.2 × (60%/40%) = 52.8 litres.
➡️ So, Quantity of alcohol that should be evaporated = 140.8 litr – 52.8 ltr = 88 ltr
Share & Join: @CSAT_2023
👍2❤1
In a horse race, for the first round Kalicharan makes his horse run at an average speed of 40 km/h, and in the second round he increases the speed by 50%. What is the average speed of the horse in the whole race?
Anonymous Quiz
7%
(a) 38 km/h
19%
(b) 52 km/h
67%
(c) 48 km/h
8%
(d) 64 km/ hr
👍2❤1
👆Ans. C
Explanation:
➡️ When a person travels a distance at a speed of x km/h and again the same distance at a speed of y km/h, then the average speed of the journey is given by (2xy)/(x + y).
➡️ Speed of horse in first round = 40 km/h
➡️ Speed of horse in second round = (40 x 150)/100 = 60 km/hr
➡️ And the distance travelled is same.
➡️ So, average speed = (2 × 40 × 60)/(40 + 60) = 2 × 4 × 6 = 48 km/hr
Share & Join: @CSAT_2023
Explanation:
➡️ When a person travels a distance at a speed of x km/h and again the same distance at a speed of y km/h, then the average speed of the journey is given by (2xy)/(x + y).
➡️ Speed of horse in first round = 40 km/h
➡️ Speed of horse in second round = (40 x 150)/100 = 60 km/hr
➡️ And the distance travelled is same.
➡️ So, average speed = (2 × 40 × 60)/(40 + 60) = 2 × 4 × 6 = 48 km/hr
Share & Join: @CSAT_2023
👍3❤1
Ram and Sunita have some money. Product of the amounts of their money is Rs. 308700, and it’s known that Sunita has less money than Ram. If HCF of their money is Rs. 105, then how much money does Ram has?
Anonymous Quiz
15%
(a) Rs. 420
63%
(b) Rs. 735
17%
(c) Rs. 815
4%
(d) Rs. 675
❤2
👆Ans. B
Explanation:
➡️ Let Ram and Sunita have Rs. 105x and Rs. 105y amounts respectively.
➡️ ∴ 105x × 105y = 308700
➡️ Or 105x × 105y = (105 × 7) × (105 × 4)
➡️ We know that, Sunita has less money than Ram. So, x > y.
➡️ ∴ x = 7 and y = 4
➡️ Hence, Ram has 105x = 105 × 7 = Rs. 735.
Share & Join: @CSAT_2023
Explanation:
➡️ Let Ram and Sunita have Rs. 105x and Rs. 105y amounts respectively.
➡️ ∴ 105x × 105y = 308700
➡️ Or 105x × 105y = (105 × 7) × (105 × 4)
➡️ We know that, Sunita has less money than Ram. So, x > y.
➡️ ∴ x = 7 and y = 4
➡️ Hence, Ram has 105x = 105 × 7 = Rs. 735.
Share & Join: @CSAT_2023
👍2❤1
A tank is half filled. It is attached with two pumps P and Q, which can fill an empty tank in 16 minutes and 20 minutes respectively. If both the pumps are opened simultaneously, then how much time would it take to fill the tank?
Anonymous Quiz
15%
(a) 80/9 min
20%
(b) 70/9 min
61%
(c) 40/9 min
4%
(d) 76/9 min
❤2👍2🔥1
👆Ans. C
Explanation:
➡️ Capacity of the tank = L.C.M. of 16 and 20 = 80 units
➡️ Capacity of half-filled tank = 80/2 = 40 units
➡️ Efficiency of first pump = 80/16 = 5
➡️ Efficiency of second pump = 80/20 = 4
➡️ Time taken to fill the half-filled tank = 40/(5 + 4) = 40/9 min
Share & Join: @CSAT_2023
Explanation:
➡️ Capacity of the tank = L.C.M. of 16 and 20 = 80 units
➡️ Capacity of half-filled tank = 80/2 = 40 units
➡️ Efficiency of first pump = 80/16 = 5
➡️ Efficiency of second pump = 80/20 = 4
➡️ Time taken to fill the half-filled tank = 40/(5 + 4) = 40/9 min
Share & Join: @CSAT_2023
❤1