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5 335
👆Ans. C
Explanation:
➡️ Ratio of A, B and C’s part = 3:7:5
➡️ Let their shares be 3x, 7x and 5x.
➡️ Difference between A’s and B’s part = 760
➡️ So, 7x – 3x = 760
➡️ Or 4x = 760
➡️ Or x = 760/4 = 190
➡️ So, C’s part = 5x = 5 × 190 = Rs. 950
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5 335
Dhanraj decided to divide his total savings among his three kids A, B and C in the ratio of 3:7:5. If the difference between A’s and B’s share is Rs. 760, then what must be the share of C?
5 335
👆Ans. C
Explanation:
➡️ 18 tractors can finish a work in 12 days.
➡️ So, 1 tractor can finish the same work in 18×12 days.
➡️ So, efficiency of a tractor = 1/(18×12)
➡️ 12 backhoe loaders can finish the same work in 9 days.
➡️ So, 1 backhoe loader can finish the same work in 12×9 days.
➡️ So, efficiency of a backhoe loader = 1/(12×9)
➡️ Required ratio = 1/(18×12):1/(12×9) = (12×9):(18×12) = 1 : 2
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5 335
18 tractors can finish a work in 12 days and 12 backhoe loaders can finish the same work in 9 days. What is the work efficiency ratio of a tractor and a backhoe loader?
5 335
👆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
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5 335
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?
5 335
👆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.
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5 335
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?
5 335
👆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
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5 335
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?
5 335
👆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
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5 335
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%?
5 335
👆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
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5 335
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-
5 335
👆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.
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5 335
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?
5 335
👆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.
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5 335
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
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5 335
👆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
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