RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The inverse ratio of 3: 6: 1 is?
A.2:3:7
B.2:3:9
C.2:1:6
D.2:3:6
Answer: C.2:1:6
Explanation: 1/3: 1/6: 1/1 = 2:1:6
Answer:C
Question: Two girls begin together to write out a book containing 900 lines. The first girl starts with the first line, writing at a speed of 150 lines per hour and the second girl starts writing from the last line at the rate of 200 lines per hour. At which line will they meet?
A.384th line
B.386th line
C.389th line
D.400th line
Answer: B.386th line
Explanation: Explanation :
Solve this question as analogous to distance method,
At some x page they will meet, so
x/150 = (900 – x)/200, we get x = 385.7 = 386th line (approx.)
Answer –B
Question: A man can do a job in 5 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?
A.6.3
B.6.9
C.3.5
D.6.1
Answer: C.3.5
Explanation: 1 day work of the three persons = (1/5 + 1/20 + 1/25) = 29/100
So, all three together will complete the work in 100/29 = 3.5 days.
Answer:C
Question: A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 30 paise per sq m is
A.Rs. 223.20
B.Rs. 323.20
C.Rs. 423.20
D.Rs. 523.20
Answer: A.Rs. 223.20
Explanation: Explanation:
Area to be plastered = [2(l + b) Ã— h] + (l Ã— b)
= [2(25 + 12) Ã— 6] + (25 Ã— 12) = 744 sq m
Cost of plastering = 744 Ã— (30/100) = Rs.223.20 Answer: A
Question: A basket contains 2 blue, 2 red and 2 yellow marbles. If 2 marbles are extracted from the basket at random, what is the probability that a marble of each color is among the extracted?
A.2/5
B.3/25
C.1/6
D.9/28
Answer: A.2/5
Explanation: 6/6*4/5*2/4 = 2/5
the answer is (A)
Question: The cost of carpeting a room 15 meters long with a carpet 75 cm wide at 30 paise per meter is Rs. 36. The breadth of the room is ?
A.6 meters
B.7 meters
C.8 meters
D.9 meters
Answer: A.6 meters
Explanation: Length of carpet = Total Cost / Rate
= 3600 / 30
= 120 m
Area of carpet = (120 x 75) / 100 m2
= 90 m2
∴ Area of the room = 90 m2
Breadth of the room = Area /Length
= 90 / 15 m
= 6m
Answer : A
Question: A train is 100 meter long and is running at the speed of 30 km per hour. Find the time it will take to pass a man standing at a crossing.
A.10 sec
B.12 sec
C.14 sec
D.16 sec
Answer: B.12 sec
Explanation: ANSWER B
As we need to get answer in seconds, so never forget to convert speed into meter per second.
Speed = 30 km/hr = 30* 5/18 m/sec
= 25/3 m/sec
Distance = length of train = 100 meter
Required time = DIST/SPEED = 100/25/3 = 100*3/25 = 12sec
ANSWER B
Question: Gary’s Gas Station serves an average of 14 cars per hour on Saturdays, 10 cars per hour on Sundays, and 9 cars per hour on all other days of the week. If the station is open from 6 a.m. to 10 p.m. every day, how many cars does Gary’s station serve over the course of a typical week?
A.1,104
B.1,200
C.1,240
D.1,280
Answer: A.1,104
Explanation: 6 a.m. to 10 p.m. = 16 hours
Number of cars serviced on weekdays = (16 * 9 * 5)
Number of cars serviced on Saturday = (16 * 14)
Number of cars serviced on Sunday = (16 * 10)
Number of cars served in a week = 16(45 + 14 + 10) = 16 * 69 = 1104
Answer: A
Question: A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
A.4 days
B.7 days
C.9 days
D.8 days
Answer: C.9 days
Explanation: C
3/12 + (3 + x)/16 = 1
x = 9 days
Question: A certain board game is played by rolling a pair of fair six-sided dice and then moving one's piece forward the number of spaces indicated by the sum showing on the dice. A player is frozen if her opponent's piece comes to rest in the space already occupied by her piece. If player A is about to roll and is currently seven spaces behind player B, what is the probability that player B will be frozen after player A rolls?
A.1/12
B.5/36
C.1/6
D.1/3
Answer: C.1/6
Explanation: no. of possible outcomes = 6*6 = 36
no. of outcomes that result a total of 7 (as A is 7 spaces behind B) = 6 ( (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) )
So, the probability = 6/36 =1/6 (Option C)
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
A.1000
B.999
C.8289
D.2889
Answer: A.1000
Explanation: 90%
104%
--------
14% ---- 140
100% ---- ? => Rs.1000
Answer:A
Question: n^(n/2)=6 is true when n=6 in the same way what is the value of n if n^(n/2) =10?
A.8
B.12
C.10
D.16
Answer: C.10
Explanation: n^(n/2)=10Apply logN/2logn=log10nlogn=2log10=log10^2=log100Logn=log100Now apply antilogn=100/nNow n=10.ANSWER:C
Question: If y is the average of x odd consecutive integers and |z - 6/4| = 1/2, which of the following MUST be true?
I. xy(z + 1) is even.
II. x(z + y) is even.
III. (x^2 - x)yz is even.
A.I only
B.III only
C.I and II
D.II and III
Answer: B.III only
Explanation: If x is even, then the average of even number of odd consecutive integers (y), will be even. For example, the average of {1, 3} is 2.
If x is odd, then the average of odd number of odd consecutive integers (y), will be odd. For example, the average of {1, 3, 5} is 3.
Thus:
If x = even, then y = even;
If x = odd, then y = odd.
Next, |z - 6/4| = 1/2:
z - 6/4 = 1/2 --> z = 2;
-(z - 6/4) = 1/2 --> z = 1.
Since, z can be even as well as odd, then it takes no part in deciding whether the options are even or odd. So, we can ignore it.
I. xy(z + 1) is even: xy can be odd if both are odd and even if both are even. So, this option is not necessarily even. Discard.
II. x(z + y) is even: if x and y are odd, and z is even, then x(z + y) = odd(odd + even) = odd but if if x and y are odd, and z is odd too, then x(z + y) = odd(odd + odd) = even. So, this option is not necessarily even. Discard.
III. (x^2 - x)yz is even: (x^2 - x)yz = x(x - 1)yz. Since either x or x - 1 is even, then the whole expression must be even irrespective of the values of x, y, and z.
Answer: B.
Question: A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
A.Rs.45
B.Rs.78
C.Rs.44
D.Rs.40
Answer: C.Rs.44
Explanation: Explanation:
Ï€ (152 - 132) = 176
176 * 1/4 = Rs.44
ANSWER IS C
Question: 3 OUT OF 1000 PARTS OF EARTH IS SULPHUR. WHAT IS THE PERCENTAGE OF SULPHUR IN EARTH
A.11/50
B.2/9
C.1/45
D.2/7
Answer: D.2/7
Explanation: REQUIRED PERCENTAGE=(3/1000*100)%=2/7%
CORRECT OPTIONS: D
Question: A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?
A.7189
B.7282
C.7298
D.1500
Answer: D.1500
Explanation: (5/100) A = (15/100) B
A = 3B
A + B = 2000
4B = 2000 => B = 500
A = 1500
Answer: D
Question: The parameter of a square is equal to the perimeter of a rectangle of length 20 cm and breadth 16 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.28.28CM
B.25.45CM
C.26.45CM
D.20.18CM
Answer: A.28.28CM
Explanation: Let the side of the square be a cm.
Parameter of the rectangle = 2(20 + 16) = 72 cm Parameter of the square = 72 cm
i.e. 4a = 72
A = 18
Diameter of the semicircle = 18 cm
Circimference of the semicircle
= 1/2(∏)(18)
= 1/2(22/7)(18) = 396/14 = 28.28 cm to two decimal places
Answer: A
Question: The ratio of red, yellow, and green jelly beans in a jar is 2:3:4. If the number of jelly beans is increased by 50%, 40%, and 30% respectively, what will be the new ratio?
A.7:15:21
B.11:18:24
C.15:21:26
D.17:24:28
Answer: C.15:21:26
Explanation: The new ratio will be 3:4.2:5.2=30:42:52=15:21:26.
The answer is C.
Question: If x is an integer, then x(x - 1)(x - k) should be evenly divisible by three when k is any of the following values EXCEPT
A.4
B.-4
C.-1
D.2
Answer: A.4
Explanation: if we put k=-1 we get:
X(x-1)(X+1) rearrange:(x-1)X(X+1)
so it looks like a sequenc,
if we assume that X =2 and put number from the answer then we get:
(x – 1)x(x – k)
k=5 =1.2.-3
k=2 =1.2.0
k=-1 =1.2.3
k=-4 =1.2.6
but when we put
k=4 =1.2.-2 not satisfied
so,the answer is A
Question: A certain theater has 100 balcony seats. For every $2 increase in the price of a balcony seat above $10, 5 fewer seats will be sold. If all the balcony seats are sold when the price of each seat is $10, which of the following could be the price of a balcony seat if the revenue from the sale of balcony seats is $1,560 ?
A.$12
B.$14
C.$24
D.$17
Answer: C.$24
Explanation: I solved it as follows:
10+2(x) = 100 -5(x)
x= 12
Equation should be (10+$2*x)(100-5x)=1,560, where x is the # of times we increased the price by $2. (10+$2*x)(100-5x)=1,560 --> (5+x)(20-x)=156 --> x=7 or x=8 --> price=10+$2*7=$24 or price=10+$2*8=$26.
Answer: C.
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds.If the speed of the train is 15m/sec,what is the length of the train?
A.150m
B.200m
C.300m
D.240
Answer: D.240
Explanation: Length of the train= (15*20)m=300m
Let the length of the platform be x meters.
Then, (x+300)/36=15
x=240m
Answer:Option D
Question: How many seconds will a 100 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
A.6
B.30
C.8
D.12
Answer: A.6
Explanation: Speed of train relative to man = 63 - 3 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 100 * 3/50 = 6 sec.
Answer: Option A
Question: A cricket bat is sold for $900, making a profit of $300. The profit percentage would be
A.24%
B.25%
C.30%
D.50%
Answer: D.50%
Explanation: 300/(900 - 300) = 50%.
Answer: D
Question: How many plants will be there in a circular bed whose outer edge measure 30 cms, allowing 4 cm2 for each plant ?
A.18
B.750
C.24
D.120
Answer: A.18
Explanation: Circumference of circular bed = 30 cm
Area of circular bed = (30)2⁄4π
Space for each plant = 4 cm2
∴ Required number of plants
= (30)2⁄4π ÷ 4 = 17.89 = 18(approx)
Answer A
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
A.12 min
B.10 min
C.11 min
D.10 min
Answer: A.12 min
Explanation: A
12 min
T = 9/45 * 60 = 12
Question: A random number is picked following which, five guesses are to be made in order to find the correct number. All the guessed numbers are noted down in a paper. On another paper, all the differences between the guessed numbers and the picked numbers are written down by subtracting the smaller one from the bigger one.
Now, one number each is erased from both of the papers. As a result, four numbers remain on each paper:
Guesses: 27, 32, 44, 45
Differences: 5, 7, 10, 13
If this is all the information you need, can you find out what number was picked?
A.33
B.37
C.55
D.79
Answer: B.37
Explanation: B
The number is 37.
The missing guess can be either 24 or 50 and the missing difference is 8.
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
A.69.5 km/hr
B.70 km/hr
C.79 km/hr
D.79.2 km/hr
Answer: D.79.2 km/hr
Explanation: Answer: Option D
Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 8 => x = 8y
(x + 264)/20 = y
y = 22
Speed = 22 m/sec = 22 * 18/5 = 79.2 km/hr.
Question: A train passes a man standing on the platform. If the train is 180 meters long and its speed is 108 kmph, how much time it took in doing so?
A.8 sec
B.5 sec
C.6 sec
D.1 sec
Answer: C.6 sec
Explanation: D = 180
S = 108 * 5/18 = 30 mps
T = 180/30 = 6 sec
Answer:C
Question: he average weight of 6 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?
A.75 kg
B.55 kg
C.45 kg
D.80 kg
Answer: D.80 kg
Explanation: Explanation:
Total weight increased = (6 x 2.5) kg = 15 kg.
Weight of new person = (65 + 15) kg = 80 kg.
Answer: D
Question: P and Q had the same number of candies. P gave Q 20 candies so that now Q has five times as many candies as P has. How many candies does Q have now?
A.50
B.55
C.60
D.65
Answer: A.50
Explanation: Let P and Q be the number of candies they had at the start.
P = Q
5(P-20) = Q+20
5(Q-20) = Q+20
4Q = 120
Q = 30
Now person Q has 30+20 candies which is 50 candies.
The answer is A.
Question: What will be the compound interest on Rs. 50000 after 3 years at the rate of 12 % per annum
A.Rs 20123.20
B.Rs 20246.4
C.Rs 20123.40
D.Rs 20123.50
Answer: B.Rs 20246.4
Explanation: Explanation:
(50000×(1+12/100)3)
=>50000×28/25×28/25×28/25
=>70246.4
So Compound interest will be 70246.4 - 50000
= Rs 20246.4
Option B
Question: A large research project was scheduled over the course of a 30-month period, and a budget of $90,000 was allotted for the course of the entire project. After seven months, the project had spent $20,000. Was the project at this point over budget or under budget, and by how much?
A.under, $4200
B.under, $1200
C.under, $1000
D.over $1800
Answer: C.under, $1000
Explanation: cost per month = 90,000/30 = 3,000.
Now, multiply by seven months: 7*($3000) = $21,000. That would be the budgeted amount, the amount theoretically supplied to the project. The real amount spent is less than this, so it is under budget.
$21,000 â€“ #20,000 = $1000
Answer = (C)
Question: Enrollment in City College in 1980 was 25 percent of enrollment in 1990. What was the percent increase in the college’s enrollment from 1980 to 1990?
A.100%
B.300 %
C.200%
D.250%
Answer: B.300 %
Explanation: Assume 100 enrollments present in 1990
25 % of 1990 = enrollments on 1980
enrollments on 1980 = 25
% change = (enrollment in 1990 - enrollment in 1980)*100/(enrollment in 1980)
=(100 - 25) *100 / 25
= 7500 / 25
= 300 %
Ans - B
Question: 8!/(8-2)!=?
A.36
B.46
C.56
D.66
Answer: C.56
Explanation: 8!/(8-2)!=8!/6!=8*7=56. Hence, the correct answer is C.
Question: A cistern has three pipes, A, B and C. The pipes A and B can fill it in 4 and 5 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
A.6 PM
B.7 PM
C.8 PM
D.5 PM
Answer: D.5 PM
Explanation: 1 to 2 = 1/4
2 to 3 = 1/4 + 1/5 = 9/20
After 3 AM = 1/4 + 1/5 - 1/2 = -1/20
1/4 + 9/20 = 14/20
1 h ---- 1/20
? ----- 14/20
14 hours ==> 5 PM
Answer:D
Question: Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes and his sister’s time is currently 9 minutes by what percent does Bob need to improve his time in order run a mile in the same time as his sister?
A. 3%
B. 5%
C. 8%
D. 10%
Answer: D. 10%
Explanation: Bob's time = 600 secs.
His sis' time = 540 secs.
Percent increase needed = (600-540/600) * 100 = 60/600 * 100 = 10%. Ans (D).
Question: A jogger running at 9 km/hr along side a railway track is 120 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.89
B.20
C.36
D.24
Answer: D.24
Explanation: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 120 + 120 = 360 m.
Time taken = 240/10 = 24 sec.
Answer: Option D
Question: Three students shared a group project, jack claimed that he do the project by himself in 20 hours, and Jane in 30 hours. Jack started working on the project for 10 hours, then Jane continued working on it another 10 hours. Lastly, Julie joined the team and working 10 hours, the project was completed. How many hours it takes Julie to finish the project by herself?
A.70 hours
B.60 hours
C.50 hours
D.40 hours
Answer: B.60 hours
Explanation: 10/20 + 10/30 + 10/x = 1x = 60 hoursANSWER:B
Question: What is 15 percent of Rs. 34 ?
A.Rs. 3.40
B.Rs. 3.75
C.Rs. 4.50
D.Rs. 5.10
Answer: D.Rs. 5.10
Explanation: Sol.
15% of Rs. 34
= Rs. (15 / 100 x 34)
= Rs. 5.10
Answer D
Question: From a certain number of people who attended an interview, x people were selected. If instead, x+2 are selected, the number of possible selections would be the same. Which of the following cannot be the value of x if at least 2 interviews were conducted everyday and the interviews were completed in 4 days?
A.2
B.4
C.6
D.8
Answer: A.2
Explanation: solution:
At least 2 interviews a day, so minimum 8 interviews in four days. Thus at least a total of 8 candidates should be there.
Let, total candidates = n
according to the question,
nCx = nC(x+2)
or, nCn-x = nCx+2 [nCr = nCn-r]
or, n-x = x+2
so, n = 2x+2
Remember total least number should be 8? So below 8 we can't expect anything.
Put x=2, then n=6 that is unacceptable.
so x is not equal to 2 . Answer: A
Question: A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 40% while buying and by 10% while selling. What is his percentage profit?
A.10.22%
B.20.22%
C.21.22%
D.40%
Answer: D.40%
Explanation: The owner buys 100kg but actually gets 140kg;
The owner sells 100kg but actually gives 90kg;
Profit: (140-90)/90*100=40%
Answer: D.
Question: Let A be the event that a randomly selected two digit number is divisible by 3 and let B be the event that a randomly selected two digit number is divisible by 2. What is P(A and B)?
A.1/8
B.1/6
C.1/5
D.1/3
Answer: B.1/6
Explanation: P(A and B) = 1/3*1/2 = 1/6
The answer is B.
Question: The expression 10^14−110 is divisible by all of the following integers EXCEPT
A.2
B.3
C.4
D.7
Answer: D.7
Explanation: Yeah. I agree this question has two answers which are (B) and (E). If 10 is power to odd number and equal or more than 5, then the answer choice (D) is correct.
Question: Tom drives from town Q to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between Q and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in miles per hour?
A.12
B.20
C.24
D.30
Answer: B.20
Explanation: Let's assume that it takes 4 hours to go from point Q to B. Then the distance between them becomes 240 which makes distance between B and C 120. (240+120)/(4+x) gives us the average speed which is 36. You find x=6. So the question simplifies itself to 120/6=20
Hence the answer is B.
Question: When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder X when N is divided by 30?
A.(a) 4
B.(b) 7
C.(c) 11
D.(d) 13
Answer: C.(c) 11
Explanation: N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder X when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1.C
Question: Set Q includes elements {8, 2, 11, x, 3, y} and has a mean of 7 and a median of 5.5. If x < y, then which of the following is the maximum possible value of x?
A.0
B.1
C.2
D.3
Answer: D.3
Explanation: First, reach to the point of getting the equation Q: x + y = 18
It should take about 20 seconds.
Then Substitute the answer choices into the equation.
I don't know what the answer choices in this case are.
But I'm sure, you would be able to eliminate at least 2 or 3 answer choices. (about 10 seconds).
Say you are left with 2 answer choices. (If you are short on time, guess One of the two and you'll have a 50% probability of getting it right.)
The Median (of 6 numbers) = 5.5. See if the AVERAGE of any two numbers among (2,3,8,11) results in the median. In this case, it does for 3 and 8. (15 seconds).
Once you know that the numbers that contribute towards Median are 3 and 8, and not x or y, then given x < y, x≤3. (about 10 seconds)=D
Question: In how many ways a committee, Consisting of 4 men and 5 women can be formed from 8 men and 10 women?
A.2660
B.3360
C.11760
D.17640
Answer: D.17640
Explanation: To choose Required number of ways to form a committee:
Select 4 men out of 8 men and 5 women out of 10 women.
That is 8C4 * 10C5.
8C4=8!/4!*4!=70
10C5=10!/5!*5!=252
The Required number of ways=70*252=17640
D
Question: A man takes twice as long to row a distance against the stream as to row the same distance in favour
of the stream. The ratio of the speed of the boat in still water and stream is
A.3:1
B.1:3
C.2:4
D.4:2
Answer: A.3:1
Explanation: Explanation:
Let speed downstream = x kmph
Then Speed upstream = 2x kmph
So ratio will be,
(2x+x)/2 : (2x-x)/2
=> 3x/2 : x/2 => 3:1
Answer: A
Question: Eight kilograms of rice costing Rs. 16 per kg is mixed with four kilograms of rice costing Rs. 22 per kg. What is the average price of the mixture?
A.20
B.18
C.16
D.19
Answer: B.18
Explanation: P1 = Rs.16 per kg, p2 = Rs. 22 per kg, q1 = 8 kg, q2 = 4 kg
Now , p = (p1q1+p2q2)/(q1+q2)
Average price of the mixture = 8*16+4*22/12
= 128+88/12
= 216 /12 = 18
ANSWER:B
Question: If x and y are nonzero integers and 450x = 120y then which of the following must be an integer?
I. xy/60
II. 15x/4y
III. 4x/15y
A.I only
B.II only
C.I and III
D.I and II
Answer: D.I and II
Explanation: 450x=120y reduce by 30 --> 15x=4y --> x is a multiple of 4 (y=15x/4 so x must be multiple of 4 for y to be an integer) and y is a multiple of 15 (x=4y/15y must be multiple of 15 for x to be an integer).
I. xy/60 --> always true, as xy will be multiple of 4*15=60;
II. 15x/4y --> as 4y=15x then 15x/4y=15x/15x=1=integer so this option is also always true;
III. 4x/15y --> as x=4y/15 then 4x/15y=16/225≠integer, so this option is never true.
Answer: I and II (only).
ANSWER:D
Question: A and B enter into a partnership with respective capitals of Rs. 20,000 and Rs. 40,000. At the end of the year, the total profit is Rs. 33,000. If A receives Rs. 15,000 as both his salary and profit, then what is his salary?
A.Rs. 4000
B.Rs. 4008
C.Rs. 4002
D.Rs. 4003
Answer: A.Rs. 4000
Explanation: Explanation:
A's capital : B 's capital
20000 : 40000 = 1 : 2
Since, the time period is fixed, the profit is distributed in the ratio of capital 1 : 2
Profit of A = (1/3) * 33,000 = Rs. 11,000
Salary of A = Rs. (15000 – 11000) = Rs. 4000
ANSWER: A
Question: How many even integers from 1 to 50 (both inclusive) have even number of factors?
A.3
B.14
C.5
D.6
Answer: A.3
Explanation: Integers having even number of factors will be perfect squares. even numbers will have even perfect squares. Thus, the possible values for the perfect squares are :
4,16,36 and the corresponding integers are 2,4,6 (more than 2). Thus A is the correct answer .
Question: How many Q ways can Jason sit with his five friends in a row of six seats with an aisle on either side of the row, if Jason insists on sitting next to one of the aisles?
A.120
B.240
C.360
D.540
Answer: B.240
Explanation: Jason can select his seat in 2 Ways (two aisles)
His 1st of 4 friends have 5 seats to select =>
His 2nd of remaining 3 friends will have 4 seat to chose from...and so on
Total ways Q=> 2*5*4*3*2*1 = 240.B
Question: Solve for x and check: - 200x = 1600
A.2000
B.2573
C.1600
D.2950
Answer: C.1600
Explanation: Solution : Dividing each side by -200, we obtain
(-200x/-200)=(1600/-200)
Therefore : x=-8
Check :
-200x=1600
(-200*-8)=1600
1600=1600
ANSWER : C
Question: Albert invested amount of 16000 in a fixed deposit for 2 years at compound interest rate of 5 % per annum. How much Albert will get on the maturity of the fixed deposit
A.Rs. 17640
B.Rs. 8620
C.Rs. 8730
D.Rs. 8820
Answer: A.Rs. 17640
Explanation: Explanation:
=>(16000×(1+5/100)2)
=>16000×21/20×21/20
=>17640
Option A
Question: If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true?
I. y + z is odd
II. (x+z)/y is an integer
III. xz is not an integer
A.I only
B.II only
C.III only
D.II and III only
Answer: D.II and III only
Explanation: consecutive odds are:
2x+1, 2x+3, 2x+5
I. 2x+3+2x+5=4x+8=4(x+1), so divisible by 2 and even - NOT TRUE
II. 2x+1+2x+5=4x+6/2x+3=2(2x+3)/2x+3=2, so integer - TRUE
III. (2x+1)*(2x+5)=4x^2+10x+2x+5=4x^2+12x+5=(2x(x+6)+5)/2 is not integer, so TRUE
ANSWER: D
Question: A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
A.8 sec
B.6 sec
C.3 sec
D.2 sec
Answer: B.6 sec
Explanation: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr
[66 * 5/18] m/sec = [55/3] m/sec.
Time taken to pass the man
=[110 * 3/55] sec =6 sec
Answer: B