RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: What is the remainder when 25473 is divided by 5?
A.3
B.2
C.4
D.5
Answer: A.3
Explanation: If the digit in unit place is divisible by 5, then number will be divisible by 5.
3 is not divisible by 5,so the number is not divisible by 5.
The nearest multiple of 5 is 25470
25473-25470=3.
Answer:3
Question: The ages of 2 persons differ by 16 years. If 6 years ago the elder one be 3 times as old as the younger one, find the present age of younger person.
A.10
B.14
C.20
D.15
Answer: B.14
Explanation: age of the younger person = x
age of the elder person = x+16
3(x-6) = x+16-6
x= 14
Answer is B
Question: From the starting point in a boat race, one competitor started to sail north at a speed of 1.6 Km/h, the other competitor started to sail west at a speed of 1.2 Km/h. What is the distance in Km between the two competitors after 5 hours?
A.10.
B.12.
C.12.5.
D.14.
Answer: A.10.
Explanation: Both competitors are sailing making angle of 90 degrees.
After 5 hrs one competitor will cover a distance of = 1.6 *5= 8 KM
And, other competitor will cover a distance of = 1.2*5= 6KM
distance between them after 5 hrs = (8^2+ 6^2)^1/2= 10 KM
A is the answer
Question: What is the least number, which is perfect square but contains 2700 as its factor?
A.8100
B.10900
C.54000
D.2500
Answer: A.8100
Explanation: 900 * 3 * 3 = 8100
ANSWER A
Question: Three hoses work to fill a tub at at different rate. Hose Q and B, working together, can fill the tub in 6/5 of an hour. Hoses Q and C can fill it in 3/2 an hour. Houses B and C can fill it in 2 hours. How long does it take all 3 hoses, working together, to fill the tub?
Edited for accurate solution
A.3/10
B.2/5
C.1/2
D.1
Answer: D.1
Explanation: Convert the given time to rate and you will be able to add it up.
Total Rate of Q and B = Rate of Q + Rate of B = 1/(6/5) = 5/6
Total Rate of Q and C = Rate of Q + Rate of C = 1/(3/2) = 2/3
Total Rate of B and C = Rate of B + Rate of C = 1/2
Adding all three,
2(Rate of Q + Rate of B + Rate of C) = 5/6 + 2/3 + 1/2 = 2
Rate of Q + Rate of B + Rate of C = 1 tub/hour
Time taken by all three together to fill up the tub is 1 hour=D
Question: A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:
A.5%
B.8%
C.12%
D.15%
Answer: C.12%
Explanation: S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.
S.I. for 5 years = Rs.	((2205/3)x 5)	= Rs. 3675
Principal = Rs. (9800 - 3675) = Rs. 6125.
Hence, rate =((100 x 3675)/(6125 x 5))%	= 12%
Answer :C
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
A.110 m
B.120 m
C.190 m
D.150 m
Answer: D.150 m
Explanation: Answer: Option D
Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y = x/15
x + 100 / 25 = x / 15
x = 150 m.
Question: W and X start a business with Rs.5000 and Rs.20000 respectively. Hoe should they share their profits at the end of one year?
A.4:1
B.1:3
C.1:4
D.1:5
Answer: C.1:4
Explanation: They should share the profits in the ratio of their investments.
The ratio of the investments made by W and X =
5000 : 20000 => 1:4 .
Answer:C
Question: In x-y plane, there is a right triangle ABC (∠B=90o). If the length of AC is 25 and the slope of line segment AC is 4/3, what is the length of AB?
A.12
B.18
C.24
D.20
Answer: D.20
Explanation: Slope = Change in Vertical Direction/Change in Horizontal Direction = 4/3
Change in Vertical Direction = 4x = AB
Change in Horizontal Direction = 3x = BC
AB^2 + BC^2 = 25^2
16x^2 + 9x^2 = 625
25x^2 =625
x^2 = 25
x = 5
Therefore AB = 5*4 =20
Answer: D
Question: Working alone at its constant rate, pump A pumped out ¼ of the water in a tank in 2 hours. Then pumps B and C started working and the three pumps, working simultaneously at their respective constant rates, pumped out the rest of the water in 3 hours. If pump B, working alone at its constant rate, would have taken 18 hours to pump out the rest of the water, how many hours would it have taken pump C, working alone at its constant rate, to pump out all of the water that was pumped out of the tank?
A.6
B.12
C.15
D.18
Answer: B.12
Explanation: Rate of pump A = 1/8
3 hours are required to pump out the remaining (3/4)ths of tank --> 1 hr to pump out 1/4
Rate of A + Rate of B + Rate of C = 1/4
Rate of B + Rate of C = 1/4 - 1/8 = 1/8
B takes 18 hours to pump out the remaining (3/4)ths of tank --> 6 hrs per (1/4)ths --> 24 hrs to pump out fully.
Rate of B = 1/24
1/24 + Rate of C = 1/8
Rate of C = 1/8 - 1/24 = 1/12
Time required to pump out all the water by C = 12 hrs
Answer: B
Question: A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4&5 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY4?
A)
B)
C)
D)
E)
A.1/5
B.5/6
C.4/5
D.7/3
Answer: A.1/5
Explanation: FOLLOW SEND PM
Re: A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4&5 WITH OUT R [#permalink] Post 08 Oct 2010, 05:15
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anilnandyala wrote:
A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4&5 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY4?
A)1/5
B)5/6
C)4/5
D)7/3
E)2/7
P = Number of desired outcomes / number of possible outcomes
Number of desired outcomes:
To be divisible by 4, the number has to end with the last two digits forming a number divisible by 4. Given the numbers in the question this leaves us with:
12
24
32
52
For each of them I now have to put the remaining numbers in front: 3x2x1 --> 6 combinations for each number set = 6x4 (we have 4 sets from above) = 24
Number of possible outcomes:
The total number of possibilities to form a 5 digit number from the question= 5x4x3x2x1=120
P = 24/120 = 1/5 --> A
Question: 20 beavers, working together in a constant pace, can build a dam in 3 hours. How many B hours will it take 12 beavers that work at the same pace, to build the same dam?
A.2.
B.4.
C.B=5.
D.B=6.
Answer: C.B=5.
Explanation: C. 5 hrs
If there were 10 beavers it could have taken double B= 6hrs.. so closest to that option is 5.C
Question: A train running at the speed of 54 km/hr crosses a pole in 9 seconds. What is the length of the train?
A.135
B.278
C.255
D.150
Answer: A.135
Explanation: Speed=(54 * 5/18) m/sec = (15) m/sec Length of the train
= (Speed x Time) = (15 * 9) m
= 135 m.
Answer:A
Question: A can do a piece of work in 25 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
A.19 1/3 days
B.10 1/3 days
C.13 1/3 days
D.15 1/3 days
Answer: C.13 1/3 days
Explanation: (x – 5)/25 + x/20 = 1
x = 13 1/3 days
ANSWER:C
Question: A train running at the speed of 142 km/hr crosses a pole in 12 seconds. Find the length of the train.
A.540
B.288
C.200
D.340
Answer: A.540
Explanation: Speed = 162*(5/18) m/sec = 45m/sec
Length of Train (Distance) = Speed * Time
45 * 12 = 540 meter
Answer: A
Question: 4 bells first begin to toll together with anintervals of 5,10,15 & 20 sec. How many times does they toll together in an hr?
A.50
B.60
C.67
D.78
Answer: B.60
Explanation: 5|5, 10, 15, 20
2|1, 2, 3, 4
|1, 1, 3, 2
L.C.M of 5, 10, 15, 20 is 60
60 times
B
Question: A tradesman by means of his false balance defrauds to the extent of 50%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
A.149%
B.125%
C.130%
D.175%
Answer: B.125%
Explanation: g% = 50 + 50 + (50*50)/100
= 125%
Answer: B
Question: Which of the following inequalities is equivalent to -24 > -4 - 10x?
A. x < 1
B. x < 2
C. x < 3
D. x < 4
Answer: B. x < 2
Explanation: You can work with the inequality in the same way as you do when you have the equal to sign. You can take terms to the other side by flipping their sign, you can multiply/divide the inequality by the same term on both sides of the equation etc.
The only important thing to note is the following:
When you multiply/divide by a negative number, the sign of the inequality flips.
To illustrate,
-24 > -4 - 10x
-20 > - 10x (Correct)
2 > x (Correct)
the correct option is B
Question: A person can go from place “P” to “Q” by 7 different modes of transport, but is allowed to return back to “P” by any mode other than the one used earlier. In how many different ways can he complete the entire journey?
A.42
B.55
C.77
D.29
Answer: A.42
Explanation: Explanation:
The person can travel from “P” to “Q” in any of the 7 different modes of transport. However, while returning, he cannot use the mode which he used earlier. Thus, while returning, he has the option of only 6 different modes of transport. Hence, the total number of ways would be 7 * 6 = 42.
ANSWER: A
Question: Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?
A.Rs. 10
B.Rs. 10.40
C.Rs. 15.20
D.Rs. 13
Answer: B.Rs. 10.40
Explanation: given TD=20, S=260 from these we can know PW=S-TD=260-20=240
given TD for sum is 20
SI on PW is TD
=>SI on 240 is 20
now given TD is half of the former time
=> SI on 240 is 10
=> TD on 250(i.e 240+10) is 10 (since given TD on sum=PW+TD is half the former time)
=> TD on 260=(10/250)*260=Rs10.40
ANSWER:B
Question: A case contains c cartons. Each carton contains b boxes, and each box contains 300 paper clips. How many paper clips are contained in 2 cases?
A.300bc
B.300b/c
C.600bc
D.600b/c
Answer: C.600bc
Explanation: 2 cases * c cartons/case * b boxes/carton * 300 clips/box = 600bc paper clips
The answer is C.
Question: 55 word in the arrangement of letter PERFECT?
A.CEPFERT
B.CEPFERS
C.CEPFERT
D.CEPFERJ
Answer: A.CEPFERT
Explanation: arrange in ascending order CEEFPRT
CEE4*3*2*1=24
CEF4*3*2*1=24
CEPE3*2*1=6
24+24+6=54
next word will be CEPFERT
ANSWER:A
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs.450 is required to paint the floor at the rate of Rs. 5 per sq m, then what would be the length of the floor?
A.65
B.44
C.21.21
D.16
Answer: C.21.21
Explanation: Let the length and the breadth of the floor be l m and b m respectively.
l = b + 200% of b = l + 2b = 3b
Area of the floor = 450/3 = 150 sq m
l b = 150 i.e., l * l/3 = 150
l2 = 450 => l =21.21
Answer:C
Question: A train is moving at a speed of 132 km/hr. If the length of the train is 100 meters, how long will it take to cross a railway platform 175 meters long
A.6 ½ sec
B.7 ½ sec
C.8 sec
D.8 ½ sec
Answer: B.7 ½ sec
Explanation: Explanation:
Speed of train = 132 ×(5/18) m/sec = 110/3 m/sec.
Distance covered in passing the platform = (100 + 175) m = 275 m.
Time taken =275 ×(3/110) sec =15/2 sec = 7 ½ sec
Answer: Option B
Question: A and B go cycling in the same direction with speeds of 6 km/hr and 12 km/hr. A car from behind passes them in 9 and 10 seconds respectively. What is the speed of the car?
A.96 km/hr
B.66 km/hr
C.68 km/hr
D.26 km/hr
Answer: B.66 km/hr
Explanation: The relative speed of A and B is 6 km/hr = 1.67 m/s
As the car passes A after 10s, the distance between A and B after 10s (i.e. at 11th second) is the distance covered by car in 1 second.
Therefore, at t = 11, d = 1.67 * 11
d = 18.33 m
v = d/t = 18.33/1 = 18.33m/s
v = 66 km/hr
ANSWER: B
Question: What is the capacity of a cylindrical tank?
I. Radius of the base is half of its height which is 28 metres.
II. Area of the base is 616 sq. metres and its height is 28 metres.
A.I alone sufficient while II alone not sufficient to answer
B.II alone sufficient while I alone not sufficient to answer
C.Either I or II alone sufficient to answer
D.Both I and II are not sufficient to answer
Answer: C.Either I or II alone sufficient to answer
Explanation: EXPLANATION
I gives, h = 28 m and r = 14.
Capacity = r2h, which can be obtained.
Thus, I alone gives the answer.
II gives, r2 = 616 m2 and h = 28 m.
Capacity = (r2 x h) = (616 x 28) m3.
Thus, II alone gives the answer.
Correct answer is (C).
Question: A company, Chauncy Co., has an annual travel budget of $52,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year?
A.Expenses will not go over the budget.
B.$500
C.$8,725
D.$5,725
Answer: C.$8,725
Explanation: annual travel budget of $52,000
Let, Transportation expenses = T = 19500
and Non-Transportation expenses = N=35000
i.e. Increased Transportation expenses = 1.05T = 20475
and Increased Non-Transportation expenses = 1.15N = 40250
Total Expense = 20475+40250 = 60725
Expense over Budget = Budget - expense = 52000-60725 = 8725
Answer: Option C
Question: Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures 6 inches on a side and costs $10, and a large pizza that measures 9 inches on a side and costs $20. If two friends go to Huey's with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone?
A.9 square inches
B.10 square inches
C.15 square inches
D.25 square inches
Answer: A.9 square inches
Explanation: In the first case each can buy one pizza of $10 and one pizza of $20.
In square inches that would be (6*6=36) for the small pizza and (9*9=81) for the large pizza. In total sq inches that would be (36+81)*2= 234 sq inches.
In the second case if they pool their money together they can buy 3 large pizzas. In terms of square inches that would be 3*81= 243 sq inches.
Hence, the difference is 9 square inches more (243-234).
The correct answer is A
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
A.22
B.288
C.36
D.88
Answer: C.36
Explanation: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 240 + 120 = 360 m.
Time taken = 360/10 = 36 sec.
Answer:C
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
A.18%
B.11%
C.88%
D.45%
Answer: A.18%
Explanation: 1500 ---- 270
100 ---- ? => 18%
Answer:A
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
A.23.52
B.23.57
C.23.2
D.23.21
Answer: B.23.57
Explanation: Let the side of the square be a cm.
Parameter of the rectangle = 2(16 + 14) = 60 cm Parameter of the square = 60 cm
i.e. 4a = 60
A = 15
Diameter of the semicircle = 15 cm
Circimference of the semicircle
= 1/2(∏)(15)
= 1/2(22/7)(15) = 330/14 = 23.57 cm to two decimal places
Answer: B
Question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
A.29
B.18
C.48
D.99
Answer: C.48
Explanation: D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 sec
Answer: C
Question: Which of the following expressions CANNOT be equal to 0 when x^2 − 3x = 18 ?
A.x^2 − 4x −12
B.x^2 − x − 12
C.x^2 − 3x = 18
D.x^2 − 5x − 6
Answer: C.x^2 − 3x = 18
Explanation: x^2 − 3x = 18
x^2 − 3x - 18= 0
x= 6 or x= -3
All other choices result in a possibility of 0 when you plug in 6 or -3 for x
Except x^2 − 3x = 18
Answer is C
Question: 5,8,11,14,17............nth terms
A.2+3n
B.2+4n
C.3+3n
D.4+3n
Answer: A.2+3n
Explanation: nth term is given by 2+3*n
when n=1, term , T1=2+3=5
n=2, T2= 2+2*3=8
..
nth term, Tn = 2+3n
ANSWER:A
Question: What approximate value should come in place of the question mark (?) in the following equation?
1.542 × 2408.69 + 1134.632 = ?
A.4600
B.4800
C.5200
D.6400
Answer: B.4800
Explanation: Explanation 3700 + 1100 = 4800
Answer B
Question: A watch was sold at a loss of 12%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
A.1000
B.875
C.799
D.778
Answer: B.875
Explanation: 88%
104%
--------
16% ---- 140
100% ---- ? => Rs.875
Answer: B
Question: Find the odd man out
30, 60, 90, 120, 150, 168, 180, 210
A.31
B.41
C.168
D.58
Answer: C.168
Explanation: as 168 is only odd number.
ANSWER:C
Question: What is the place value of 2 in the numeral 2359
A.2500
B.2000
C.3500
D.3000
Answer: B.2000
Explanation: Option 'B'
2 * 1000 = 2000
Question: 45% of 816 - 23% of ? = 240.7
A.330
B.440
C.240
D.550
Answer: D.550
Explanation: D
550
(816 * 45)/100 - (? * 23)/100 = 240.7
=> 367.2 - (? * 23)/100 = 240.7
=> (? * 23)/100 = 367.2 - 240.7
=> ? = (126.5 * 100 )/23 = 550
Question: How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed?
A.5^7
B.5^6
C.5^9
D.5^8
Answer: D.5^8
Explanation: _ _ _ _ _ _ _ _ _ (9 digit number)
Digits that can be used = 1, 2, 3, 4 and 5
For a number to divisible by 4, the last two digits have to be divisible by 4
So, the units digit cannot be 1, 3 or 5
If the units digit is 2, only 12, 32 adn 52 are acceptable as the last two digits
If the units digit is 4, only 24 and 44 are acceptable as the last two digits.
So, total 5 cases 12,24,32,44,52 are possible for the last two digits.
Now, the first 7 digits of the 9 digit number can be filled in 5^7 ways as each place can be filled by 1, 2, 3, 4 or 5.
So, desired answer = 5^7*5 = 5^8
ANSWER:D
Question: A farmer planned to plough a field by doing 120 hectares a day. After two days of work he increased his daily productivity by 25% and he finished the job two days ahead of schedule.
a) What is the area of the field?
b) In how many days did the farmer get the job done?
c) In how many days did the farmer plan to get the job done?
A.2337
B.2667
C.1440
D.2887
Answer: C.1440
Explanation: First of all we will find the new daily productivity of the farmer in hectares per day: 25% of 120 hectares is 25100⋅120=3025100⋅120=30 hectares, therefore 120+30=150120+30=150 hectares is the new daily productivity. Lets x be the planned number of days allotted for the job. Then the farm is 120⋅x120⋅x hectares. On the other hand, we get the same area if we add 120⋅2120⋅2 hectares to 150(x−4)150(x−4) hectares. Then we get the equation
120x=120⋅2+150(x−4)120x=120⋅2+150(x−4)
x=12x=12
So, the job was initially supposed to take 12 days, but actually the field was ploughed in 12 - 2 =10 days. The field's area is 120⋅12=1440120⋅12=1440 hectares.
Answer:C
Question: Raju age after 20 years will be 5 times his age 5 years back, What is the present age of Raju
A.11.25
B.17.32
C.10
D.77.01
Answer: A.11.25
Explanation: Clearly,
x+20 = 5(x-5)
<=> 4x = 45 => x = 11.25
Answer:A
Question: A square, with perimeter 40, is inscribed in a circle. What is the area of the circle?
A.50π
B.40π
C.30π
D.25π
Answer: A.50π
Explanation: Area of circuscribed circle = pi/2*area of square
Area of square = (40/4)^2 = 10^2= 100
Area of circle = pi/2*100=50pi
Answer : A
Question: Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.63000 after completion of one year. What will be Jose's share of profit?
A.20000
B.22000
C.35000
D.24000
Answer: C.35000
Explanation: SoL = ~s- So Anju’s share = [5/9] x 63000 = 35000
C
Question: An investment of d dollars at k percent simple annual interest yields $100 over a 2 year period. In terms of d, what dollar amount invested at the same rate will yield $500 over a 1 year period?
A.(2d)/3
B.10d
C.(4d)/3
D.(3d)/2
Answer: B.10d
Explanation: 100 dollars in 2 years means 50 dollars in 1 year.
To get 500 dollars' it will take 10 years.
To get 500 in 1 years, we need 10/1=10 times money. Answer is B
Question: A shopkeeper sold an article for 240 after giving 20% discount on the labelled price and made 20% profit on the cost price. What would have been the percentage profit,had he not given the discount’?
A.25%
B.50%
C.23%
D.28%
Answer: B.50%
Explanation: Cost price = 240×100/120= 200
S.P. at no discount = 240×100/80 = 300
∴ % profit = 100×100/200 = 50 %
Answer B
Question: During a clearance sale, a retailer discounted the original price of its TVs by 22% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?
A.40%
B.45%
C.55%
D.63%
Answer: D.63%
Explanation: VERITAS PREPOFFICIAL SOLUTION:
D. With percent problems, the key is often to make sure that you take the percent of the correct value. In this case, the initial 25% off means that customers will pay 75% of the original price. Then for the second discount, keep in mind that the discount is taken off of the sale price, not of the original price. So that's 20% off of the 75% that they did pay, which can be made easier by looking at what the customer does pay: 80% of the 75% sale price. Using fractions, that means they pay: 4/5*(3/4) of the original price, which nets to 3/5 of the original price, or 63%.
Question: In expressing a length 81.478 km as nearly as possible with three significant digits, find the percentage error?
A.0.075%
B.0.156%
C.0.027%
D.0.048%
Answer: C.0.027%
Explanation: Error = 81.5-81.478 = 0.022
Required percentage = (0.022/81.478)*100 = 0.027%
Answer is C
Question: In a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. If pqrs = 1,155, and if 1< p < q < r < s, how many students in the class are accounting majors?
A.3
B.5
C.8
D.11
Answer: A.3
Explanation: Prime factorization of the product
pqrs = 1155
= 3* 5 *7 * 11
Since 1< p < q < r < s
Number of students who are accounting majors , p = 3
Answer A
Question: How many ways are there to award a gold, silver and bronze medal to 13 contending teams?
A.13 x 12 x 11
B.10!/(3!7!)
C.10!/3!
D.360
Answer: A.13 x 12 x 11
Explanation: we clearly know that there can be only one winning team which deserves the gold medal. we can do the selection in 13 ways
if gold medal is given to 1 of the teams then only possible 12 teams can be considered for silver medal. we can do selection in 12 ways
similarly if gold and silver medals are awarded then only remaining 11 teams can be considered for a bronze medal. we can do the selection in 11 ways
Total number of ways to select the 3 possible medal winners = 13 * 12 * 11
Correct answer - A
Question: A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?
A.9.90 a.m
B.9.90 a.m
C.9.30 a.m
D.9.80 a.m
Answer: C.9.30 a.m
Explanation: Relative speed = 2 + 3 = 5 rounds per hour.
So, they cross each other 5 times in an hour and 2 times in half an hour.
Hence, they cross each other 7 times before 9.30 a.m
Answer:C
Question: When a certain number X is divided by 143, the remainder is 37. Which of the following numbers, if added to X, would result in a number divisible by 13?
A.7
B.21
C.34
D.2
Answer: D.2
Explanation: Now X= 143q + 45 = 11*13*q + 37..so we have to make only 37 div by 13..
37 + 2 = 39 divisible by 13 . add 2 to 37
ans D
Question: A can do 1/3rd the work in one day where as B can do it full. B can also do 1/3rd the work of C in one day. Ratio in their efficiency will be?
A.4:3:9
B.2:3:9
C.1:3:9
D.1:3:5
Answer: C.1:3:9
Explanation: WC of A: B = 1:3
B: C = 1:3
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A: B: C = 1:3:9
ANSWER:C
Question: In the quadratic equation ax2 - 5x - 24 = 0, if the sum of two roots is 1, what is the product of the two roots?
A.13
B.-24
C.-12
D.12
Answer: B.-24
Explanation: Explanation:
The sum of the roots of the quadratic equation ax2+ bx + c = 0 are (-b/a) and the product of the roots are (c/a).
Thus, in the equation ax2 - 11x + 40 = 0, where a = a, b = - 5 and c = -24.
we get, sum of the roots =5 / a = 5
a = 1
Product of the roots = -24 / 1 = -24
ANSWER:B