RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Two trains of length 100 m and 120 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
A.11 sec
B.70 sec
C.21 sec
D.20 sec
Answer: A.11 sec
Explanation: Relative speed = (42 + 30) * 5/18 = 4 * 5
= 20 mps.
Distance covered in passing each other
= 100 + 120 = 220 m.
The time required = d/s
= 220/20
= 11 sec.
Answer: A
Question: If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Coe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 15 miles ahead of Coe?
A.15
B.60
C.75
D.90
Answer: D.90
Explanation: This type of questions should be solved without any complex calculations as these questions become imperative in gaining that extra 30-40 seconds for a difficult one.
Teena covers 55 miles in 60 mins.
Coe covers 40 miles in 60 mins
So teena gains 15 miles every 60 mins
Teena need to cover 7.5 +15 miles.
Teena can cover 7.5 miles in 30 mins
Teena will cover 15 miles in 60 mins
So answer 30+60= 90 mins.D
Question: The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hourr. The distance travelled downstream in 24 mins is?
A.6 km
B.7 km
C.7.2 km
D.8 km
Answer: C.7.2 km
Explanation: speed of a boat in still water = 15 km/hr
Speed of the current = 3 km/hr
Speed downstream = (15+3) = 18 km/hr
Distance travelled downstream in 24 minutes =2460×18=2×185 = 7.2 km
C
Question: Two cyclist start from the same places in opposite directions. One is going towards north at 18kmph and the other is going towards south 20kmph. What time will they take to be 190km apart?
A.1 1/4 hours
B.5 hours
C.4hours
D.3 3/4 hours
Answer: B.5 hours
Explanation: To be (18+20) km apart, they take 1 hour
To be 190 km apart, they take 1/38 * 190 = 5 hrs
Answer is B
Question: A man is 20 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
A.14 years
B.18 years
C.20 years
D.22 years
Answer: B.18 years
Explanation: Let the son's present age be x years. Then, man's present age = (x + 24) years.
(x + 20) + 2 = 2(x + 2)
x + 22 = 2x + 4
x = 18.
answer :B
Question: If a > 1, which of the following is equal to (2a + 6)/(a^2 + 2a - 3)?
A.a
B.a + 3
C.2/(a - 1)
D.2a/(a - 3)
Answer: C.2/(a - 1)
Explanation: (2a + 6)/(a^2 + 2a - 3) = 2(a + 3) / (a + 3)(a - 1)
= 2/(a - 1)
Option C
Question: The average of four consecutive odd numbers is 24. Find the largest number.
A.25
B.27
C.29
D.31
Answer: B.27
Explanation: Explanation:
Let the numbers are x, x+2, x+4, x+6, then
=>x+(x+2)+(x+4)+(x+6)4=24
=>4x+12)4=24
=>x+3=24=>x=21
So largest number is 21 + 6 = 27
Answer: Option B
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
A.658 m
B.156 m
C.245 m
D.156 m
Answer: C.245 m
Explanation: Speed = 45 * 5/18 = 25/2 m/sec.
Time = 30 sec
Let the length of bridge be x meters.
Then, (130 + x)/30 = 25/2
x = 245 m.
Answer:C
Question: In his ranch, Doug Bo can place a loop of rope, called a lasso, once in every 2 throws around a cow’s neck. What is the probability that he will be able to place a lasso around a cow’s neck at least once in 5 attempts?
A.1/5
B.15/32
C.1/2
D.31/32
Answer: D.31/32
Explanation: The probability of not placing a lasso around the cow's neck on 5 attempts is:
(1/2)(1/2)(1/2)(1/2)(1/2) = 1/32
The probability of placing a lasso around the cow's neck on 5 attempts is
1 - (1/32) = 31/32
correct answer option D
Question: In a certain match all the teams were to play with each other. If there are 5 teams, how many matches will have to be played?
A.40
B.45
C.60
D.10
Answer: D.10
Explanation: 5c2
=10
ANSWER:D
Question: If three numbers in the raƟo 3 : 2: 5 be such that the sum of their squares is 1862, the middle
number will be
A.10
B.14
C.18
D.22
Answer: B.14
Explanation: Explanation:
Let the numbers be 3x, 2x and 5x.
Then,
9x + 4x + 25x =1862
⇒
38x = 1862
⇒
x = 49
⇒
x = 7.
middle number = 2x = 14
Answer: B
Question: Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
A.Rs.200
B.Rs.250
C.Rs.300
D.Rs.350
Answer: B.Rs.250
Explanation: Let the amount paid to X per week = x
and the amount paid to Y per week = y
Then x + y = 550
But x = 120% of y = 120y/100 = 12y/10
∴12y/10 + y = 550
⇒ y[12/10 + 1] = 550
⇒ 22y/10 = 550
⇒ 22y = 5500
⇒ y = 5500/22 = 500/2 = Rs.250
B)
Question: What sum of money will amount to Rs. 520 in 5 years and to Rs. 568 in 7 years at simple interest?
A.Rs. 400. 00
B.Rs. 120. 00
C.Rs. 510. 00
D.Rs. 520. 00
Answer: A.Rs. 400. 00
Explanation: Explanation:
SI for 2 years = 568 – 520 = Rs. 48
SI for 5 years = Rs. 120
Principal = 520-120 = Rs. 400
Answer: A
Question: How much time will take for an amount of Rs. 330 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
A.5 5/11years
B.6 5/11years
C.7 5/11years
D.12 5/11years
Answer: A.5 5/11years
Explanation: Time = (100 * 81) / (350 * 4.5) = 5 5/11years
ANSWER:A
Question: The price for a loaf of bread in April was $1.17, in May the price was $1.30, and in June the price was $1.05. If 2/3 as much bread was sold in April as in May, and twice as much was sold in June as in April, what was the average price for a loaf of bread sold during the three-month period?
A.$1.13
B.$1.14
C.$1.15
D.$1.16
Answer: D.$1.16
Explanation: Let x be the number of loaves sold in May.
Then 2x/3 loaves were sold in April and 4x/3 loaves were sold in June.
The average price was (2x/3)(117) + 130x + (4x/3)(105) / (2x/3 + x + 4x/3) =
(78 + 130 + 140) / (3) = 348/3 = $1.16
The answer is D.
Question: A taxi charges q dollars for the first two miles and c cents per quarter mile for every mile after the first two. Which equation describes cost of a taxi ride of n miles in dollars.
A.qn – c/8(100)
B.cq + 4n-8/200
C.q + (4cn-8c)/100
D.q + 100cn/4
Answer: C.q + (4cn-8c)/100
Explanation: This is about as complicated as these types of problems come, but it is essentially the same as any problem which has an initial cost which is added to a dependent additional cost. Looking at the problem, we notice that the cost q is added to the mile dependent cost, which is some combination of the other terms listed in the problem. With just that knowledge we can eliminate all but two of the answer choices! Choices (A), (B), and (E) either do some strange calculation with the initial cost q, or subtract the additional cost from q. Both of these circumstances would be next to impossible if there is an initial cost being added to another cost. Thus, we only have to choose between choice (C) and choice (D). We can easily find the right answer by plugging in real numbers and checking which choice yields a correct answer. We can also see that answer choice (D) seems to be multiplying the cost in cents by 100, which, if the trip was 6 miles and the charge per mile was 25 cents, would make the taxi cost an additional $3750! This seems impossible, and leaves only the correct answer choice, (C).
Question: The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder T of Y divided by 5?
A.T=1.
B.T=2.
C.3.
D.4.
Answer: B.T=2.
Explanation: X divided by 10 gives reminder of 2. X can be 2/12/22....
X+Y divided by 5 is 4. X + Y can be 4/ 9/ 19....
If X+Y= 4 and X is 2 then Y = 2 and Y/5 will give a reminder of 2
Similarly, if X+Y= 9 and X = 2, then y/5 will give a reminder of 2
Hence the answer must be 2 (B)
Also....
x+y=5m+4 and x=10K+2
hence 10k+2+y=5m+4 or y=5(m-2k)+2, m-2k being a constant remainder is 2 hence answer is B
Question: A person travels from P to Q a speed of 80 km/hr and returns by increasing his speed by 10%. What is his average speed for both the trips?
A.33
B.77
C.48
D.84
Answer: D.84
Explanation: Speed on return trip = 110% of 80 = 88 km/hr.
Average speed of trip = 80 + 88 /2 = 168/2 = 84 km/hr
Answer : D
Question: If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in
A.2 days
B.3 days
C.4 days
D.5 days
Answer: B.3 days
Explanation: That is, 1 person can do one time of the work in 3 days.
Therefore, 7 persons can do 7 times work in the same 3 days itself.
B
Question: Annie will be half as old as Larry in 3 years. Annie will also be one-third as old as Jerome in 5 years. If Jerome is 11 years older than Larry, how old is Annie?
A.4
B.8
C.19
D.26
Answer: A.4
Explanation: J = L+11
(1) 2(A+3) = L+3
(2) 3(A+5) = J+5 = L+16
Let's subtract equation (1) from equation (2)
A+9 = 13
A = 4
The answer is A.
Question: A man in a train travelling at 30km/hr notices that a train going in the opposite direction passes him in 9 sec.If the length of this train is 200m find its speed .
A.30 km/hr
B.40 km/hr
C.50 km/hr
D.60 km/hr
Answer: C.50 km/hr
Explanation: relative speed of trains = 200/9 mtrs/sec = 200*18/(9*5)= 80 km/hr
speed of 2nd train = 80-30=50 km/hr
ANSWER:C
Question: If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
A.4/5 km
B.4/8 km
C.6/5 km
D.4/0 km
Answer: A.4/5 km
Explanation: x/3 – x/4 = 4/60
x = 4/5 km
Answer:A
Question: Buffalo gives 4 liter milk, cow gives (1/2) liter milk and goat gives 1/4 liter milk. you have to get 20 liter milk by 20 animals.what is the number of goats?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: Assume number of respective animals are x,y,z.
x+y+z=20---(1) as the total number of animal has to be 20
Amt of milk will be 4x+(1/2)y+(1/4)z=20---(2)
Solving equation 1 and 2 we get
15x+y=60 ----(3)
Since buffalo gives 4litre and total milk is 20, x < 5
But from eq 3, x cannot be more than 4;
Further if x=1 or 2; y>20... Not possible, since total animal is 20
Thus, x=3, y=15, z=2
2goats
ANSWER:B
Question: Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 300 milliliters of solution X to create a solution that is 15 percent alcohol by volume?
A.50
B.100
C.150
D.200
Answer: B.100
Explanation: 15% is 5%-points higher than 10% but 15%-points lower than 30%.
Thus there should be 3 parts of solution X for 1 part of solution Y.
We should add 100 ml of solution Y.
The answer is B.
Question: What will be the percentage increase in the area of the cube's surface if each of the cube's edges grows by 50%?
A.125%
B.150%
C.100%
D.90%
Answer: A.125%
Explanation: The question is very easy. My logic is the following:
A surface = 6*a^2
After 50% increase A surface = 6* ((1.5a)^2) = 6*2.25*a^2
The increase in the surface area = (6*2.25*a^2 - 6*a^2)/6*a^2 = (6*a^2(2.25-1))/(6*a^2) = 2.25-1=1.25 = 125%
Answer :A
Question: Bob's pizza recipe calls for 2 ounces of baking soda for every 2 cups of flour used. He needs to use 12 cups of flour to make 6 pizzas for a party. If 12 cups of flour is used, then how many ounces of baking soda are needed?
A.24
B.12
C.2
D.6
Answer: B.12
Explanation: Number of ounces per 2 cups of flour is 2
Number of cups of flour used in total is 6
Ounces needed is 12
Answer 12
The correct answer is B.
Question: If $0.2 is commission for sales of $1,000, what percent of sales amount is the commission?
A.2%
B.0.2%
C.0.02%
D.0.002%
Answer: C.0.02%
Explanation: % of sales amount of commission = (Commission/Total Value) *100 = (0.2/1000) * 100 = 0.02%. Answer C.
Question: A honey bee flies for 10 seconds, from a daisy to a rose. It immediately continues to a poppy, flying for 6 additional seconds. The distance the bee passed, flying from the daisy to the rose is 3 meters longer than the distance it passed flying from the rose to the poppy. The bee flies to the poppy at 3 meters per second faster than her speed flying to the rose. The bee flies how many meters per second from the daisy to the rose?
A.4.2
B.5.2
C.6
D.8
Answer: A.4.2
Explanation: Let the speed be 's' and let the distance between rose and poppy be 'x'
The problem boils down to:
Rose to Poppy: s+3=x/6 ------- 1
Daisy to Rose: s=(x+3)/10------ 2
so from 1 we can re write x as x=6s+18
substitute the value of x in 2 gives us s=4.2 m/s
A
Question: Josh spends a total of $4.50 buying N items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then N may be which of the following?
A.99
B.100
C.81
D.109
Answer: C.81
Explanation: Let x be 0.05$ single bubblegum and y be the total 0.5$ packs ---> 0.05x+0.5y=4.5 ---> x+10y=90 ...(1)
Also, x+y=N ...(2)
Solving 1 and 2 , we get, N = 90-9y ---> only value satisfied is when y = 1---> N = 90-9=81.
C is the correct answer. Other options are not equal to multiples of 9 removed from 90.
Question: A computer manufacturer produces a certain electronic component at a cost of $75 per component. Shipping costs for delivering the components are $2 per unit. Further, the manufacturer has costs of $16,500 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues?
A.$28
B.$187
C.$110
D.$138
Answer: B.$187
Explanation: This question can be solved easily using a equation model.
150*p = 16500(fixed cost) + 150*75+150*2.
= 16500 + 11250 + 300
P= $187
B
Question: A, B and C started a partnership business by investing Rs.5000, Rs.8000, Rs.9000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?
A.70000
B.60000
C.88000
D.90000
Answer: C.88000
Explanation: A:B:C =5000:8000:9000
=5:8:9
Let total profit =p
Then pÃ—9/22=36000
p=(36000Ã—22)/9=88000
Answer is C.
Question: The average age of 3 boys is 25 years and their ages are in the proportion 3:5:7. The age of the youngest boy is?
A.10years
B.15years
C.20years
D.25years
Answer: B.15years
Explanation: Total age of 3 boys = 25*3 = 75
ratio of their ages = 3:5:7
Age of the youngest = 75*3/15 = 15 years
Answer is B
Question: Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
A.11 1/98%
B.11 9/9%
C.11 1/9%
D.12 1/9%
Answer: C.11 1/9%
Explanation: 900 --- 100
100 --- ? => 11 1/9%
Answer:C
Question: Mohan's salary was first increased by 20% and then decreased by 20%. If his present salary is Rs. 7200, then what was his original salary?
A.Rs.7528
B.Rs.7500
C.Rs.7527
D.Rs.7522
Answer: B.Rs.7500
Explanation: Let Mohan's salary be Rs.100.
When increased by 20%, Mohan's salary = Rs.120
Again when decreased by 20%, Mohan's salary = 120 - 24 = Rs. 96.
But present salary is Rs. 7200
for, 96 ---> 100 ; 7200 ---> ?
Required salary is 7200/96 * 100
=Rs.7500
Answer:B
Question: Sam is training for the marathon. He drove 13 miles from his home to the Grey Hills Park and then ran 6 miles to Red Rock, retraced his path back for 2 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?
A.1 ≤ n ≤23
B.3 ≤ n ≤21
C.5 ≤ n ≤19
D.6 ≤ n ≤20
Answer: D.6 ≤ n ≤20
Explanation: ANSWER: C To find the maximum and minimum range for his distance from home, assume that he traveled either directly toward his home or directly away from his home. The range then is between 13+6-2+3=20 for the maximum, and 13-6+2-3=6 for the minimum, so D is the answer
Question: For a certain set, the value range of its members is 88.8. A new set is created from the members of the old set as follows: 12 is subtracted from a member of the old set, and the result is divided by 4. The resulting value is a member of the new set. If this operation is done for each member of the old set, what is the range of values of the members of the new set?
A.19.2
B.22.2
C.36.6
D.44.4
Answer: B.22.2
Explanation: Let x and z be the smallest and largest of the original set, respectively.
z - x = 88.8
The smallest and largest members of the new set will be (x-12) / 4 and (z-12) / 4.
Then the range is (z-12) / 4 - (x-12) / 4 = (z-x) / 4 = 88.8 / 4 = 22.2
The answer is B.
Question: Eight persons participated in a shooting competition. The top score in the competition is 85 points. Had the top score been 92 points instead of 85 points, the average score would have been 84. Find the number of points actually scored in the competition.
A.645
B.655
C.665
D.636
Answer: C.665
Explanation: Exp. Let the actual number of points scored be x,
Then [ x + (92 –85 )] /8 = 84, ( x + 7) /8 = 84 , x = ( 84*8 )- 7,
= 672 - 7 = 665
Answer: C
Question: If a rooster laid 13 eggs, and the farmer took 8 of them, and then another rooster laid 12 eggs and 4 of them were rotten, how many of the eggs were left?
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: A
0
Roosters don't lay no eggs!
Question: When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?
A.300
B.349
C.500
D.550
Answer: B.349
Explanation: x = 13p + 11 and x = 17q + 9
13p + 11 = 17q + 9
17q - 13p = 2 => q = 2+13p/17
least value of p for which q = 2+13p/17 is whole no is p = 26
x = (13*26+11) = 349
ANSWER B
Question: What is the sum of all the multiples of 25 between 30 and 100?
A.800
B.625
C.600
D.250
Answer: D.250
Explanation: You first have to know all the multiples of 25 between 30 and 100. They are 25,50,75and100. If you add all these numbers together, you get 250.
Final Answer: D
Question: On a map the distance between two mountains is 312 inches. The actual distance between the mountains is 136 km. Ram is camped at a location that on the map is 34 inch from the base of the mountain. How many km is he from the base of the mountain?
A.14.83
B.14.81
C.14.8
D.14.82
Answer: D.14.82
Explanation: Explanation:
Since 312 inch = 136 km
So 1 inch = 136/312 km
So 34 inch = (136 × 34)/ 312 = 14.82 km
Answer: D
Question: Each of the integers from 4 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
A.3
B.4
C.5
D.6
Answer: A.3
Explanation: Answer is 3. In the worst case, you could end up drawing 4,5. 7th draw will result in either of 6,7,8,9 which would result in the numbers adding to 10.
A
Question: Concentrated apples juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated apples juice, at the most, can fit into 3 wooden boxes?
A.24.
B.28.
C.36.
D.42.
Answer: A.24.
Explanation: Concentrated apples juice comes inside a cylinder tube since height of a tube is 15 inches , the tubes can fit only in one way now, diameter of each tube = 5 inches
therefore, 4*2 can be put in each wooden box
in 3 boxes 3*4*2 can be accommodated
= 24=A
Question: 20 % of 2 is equal to
A.0.2
B.0.3
C.0.4
D.0.5
Answer: C.0.4
Explanation: 20 % of 2 = (20 / 100) * 2 = 0.4
ANSWER (C) =0.4
Question: The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
A.6 2/5%
B.6 2/7%
C.6 2/3%
D.6 5/3%
Answer: C.6 2/3%
Explanation: 10 CP = 12 SP
12 --- 2 CP loss
100 --- ?
=> 16 2/3%
Answer: C
Question: 39 persons can construct a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
A.10
B.13
C.14
D.15
Answer: B.13
Explanation: Explanation :
Let the required number of days be x.
Less persons, More days (Indirect Proportion)
More working hours per day, Less days (Indirect Proportion)
Persons 30 : 39 :: 12 : x
Working hours/day 6 : 5
30 x 6 x x = 39 x 5 x 12
x = (39 x 5 x 12) /(30 x 6)
x = 13.
Answer : B
Question: Consider the sets Tn = {n, n + 1, n + 2, n + 3, n + 4}, where n = 1, 2, 3,...., 78. How many of these sets contain 6 or any integral multiple thereof (i.e., any one of the numbers 6, 12, 18, ...)?
A.(a) 80
B.(b) 81
C.(c) 82
D.(d) 65
Answer: D.(d) 65
Explanation: T1: 1,2,3,4,5
T2: 2,3,4,5,6
T3: 3,4,5,6,7
etc.
means that every multiple of 6 will be involved in 5 sets. We have (78-6)/6+1=13 such multiples.
So, final number of sets is 13*5=65
Answer: D
Question: Two cubes of their volumes in the ratio 343 : 729. The ratio of their surface area is:
A.7:9
B.2:5
C.3:5
D.1:5
Answer: A.7:9
Explanation: The ratio of their surface area is
343 : 729
7 : 9
Answer is A.
Question: A metered rikshaw charges Rs 13.50 for the first 1 Km and 2.50 per 1/3 km there after. What would the charge if this rikshaw is hired for 13 Kms? In approx??
A.103.5 Rs
B.104.5 Rs
C.105.5 Rs
D.106.5 Rs
Answer: A.103.5 Rs
Explanation: For 1st Km: Rs.13.50
Ramaining distance:13-1=12 KM
1/3 km costs 2.5 rs
1 km costs (2.5*3)
Remaining 12KM costs (2.5*3)*12=90 Rs
total cost=90+13.5=103.5 Rs
ANSWER:A
Question: In a group of600 readers who read science fiction or literacy works or both, 200 read science fiction and 230 read literacy works. How many read both science fiction and literacy works?
A.70
B.30
C.25
D.100
Answer: B.30
Explanation: Consider total number of reader n(S U L) = 600
People who read science fiction n(S) = 400
People who read literacy works n(L) = 230
both science fiction and literacy n(S âˆ© L) = ?
n(S U L) = n(S)+ n(L) - n(S âˆ© L)
600 = 400 + 230 - n(S âˆ© L)
n(S âˆ© L) =630 -600
n(S âˆ© L) = 30
SO People read both science fiction and literacy works are 30
ANSWER:B
Question: Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother 5 years younger to her was born. What is the difference between the ages of her parents?
A.2 years
B.4 years
C.6 years
D.7 years
Answer: D.7 years
Explanation: Mother's age when Ayesha's brother was born = 36 years.
Father's age when Ayesha's brother was born = (38 + 5) years = 43 years.
Required difference = (43 - 36) years = 7 years.
Answer: Option D
Question: In a 100 m race, A runs at 8km per hour. If A gives B a start of 8 m and still him by 15 seconds, what is the speed of B ?
A.5.52 km/hr.
B.5.06 km/hr.
C.5.76 km/hr.
D.6.76 km/hr.
Answer: A.5.52 km/hr.
Explanation: Time taken by A to cover 100 m =(60 X 60 / 8000)	x 100 sec = 45 sec.
B covers (100 - 8) m = 92 m in (45 + 15) sec = 60 sec.
B's speed = (92 x 60 x 60)/(60 x 1000)km/hr = 5.52 km/hr.
Answer is A
Question: ABCD is a square where AB =âˆš4032. Let X be a point on AB and Y be a point on CD such that AX = CY . Compute the area of trapezoid AXYD.
A.3008
B.2002
C.1008
D.2016
Answer: D.2016
Explanation: Note that trapezoids AXY D and BXY C are congruent, so the area of AXY D is
always
4032/2= 2016 .
correct answer D
Question: The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 30 per cent. The two reductions together are equal to a single reduction of
A.45%
B.47.5%
C.35%
D.32.5%
Answer: B.47.5%
Explanation: Price = p
initially price reduced by 25% which means new price is 3/4P
Now on this new price further 30percent is reduced which means the new price is merely 70percent of 3/4P
==> (3/4)x(7/10)P = 21/40P is the new price after both deduction which is 52.5 percent of the original value P. This implies this entire series of deduction is worth having discounted 47.5% of P. So answer is B = 47.5%
Question: A and B finish the job in 15 days.while A,B and C can finish it in 3 days . C alone will finish the job in
A.4.75 days
B.3.75 days
C.6.50 days
D.7.50 days
Answer: B.3.75 days
Explanation: Explanation:
3 = (15 * x)/(15 + x)
45+3x=15x
12x=45
X=3.75
Answer: Option B
Question: A project manager needs to select a group of 4 people from a total of 4 men and 4 women. How many possible group combinations exist such that no group has all men or all women?
A.72
B.68
C.74
D.82
Answer: B.68
Explanation: First list all the possible combinations of Groups wit F = Female and M = Male:
MMMF
Total Combinations of 16 (4*3*2/3! *4)
FFFM
Total Combinations of 16 (same as above)
FFMM
Total Combinations of 36 (4*3/2! * 4*3/2!)
Altogether that makes 68.
Answer Choice B