RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
A.36
B.50
C.88
D.66
Answer: B.50
Explanation: Speed of the train relative to man
= (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr
= 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5
= 45 ==> x
= 50 km/hr.
Answer:B
Question: A sum of money doubles itself at a compound interest in 15 years . In how may years it will become 8 times ??
A.30 years
B.40 years
C.45 years
D.50 years
Answer: C.45 years
Explanation: If the sum doubles (x2) in 15 years, then it to become 2*2*2 = 8 times as large it should double three times, so three 15 years time period are needed, which is 3*15 = 45 years.
Answer: C
Question: In a school there are 20 balls for every 200 players. If the school has 600 players, how many balls are required?
A.34
B.45
C.60
D.36
Answer: C.60
Explanation: 20/200=x/600
x=60
Answer is C
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
A.150m
B.180m
C.159m
D.250m
Answer: A.150m
Explanation: Length of the train be ‘X’
X + 150/15 = X + 250/20
4X + 600 = 3X + 750
X = 150m
Answer:A
Question: A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
A.Rs.4
B.Rs.5
C.Rs.1
D.Rs.3
Answer: D.Rs.3
Explanation: 40*(40/100) = 16 --- 64
? --- 12 => Rs.3
Answer:D
Question: The compound ratio of 1:4, 3:2 and 4:5?
A.1:9
B.1:7
C.1:2
D.3:10
Answer: D.3:10
Explanation: 1/4 * 3/2 * 4/5
= 3/10
=3:10
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
A.288
B.279
C.277
D.200
Answer: D.200
Explanation: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12
= 200 m
Answer: D
Question: if v,w,x,y,z are non negative integer, each less than 11,then how many distinct combinations(w,v,x,y,z) satisfy v(11^4)+w(11^3)+x(11^2)+y(11)+z=151001.
A.0
B.1
C.2
D.3
Answer: B.1
Explanation: v(11^4)+w(11^3)+x(11^2)+y(11)+z=151001
151001/11 gives remainder 4.
v(11^4)+w(11^3)+x(11^2)+y(11) = 151001 - z
to make it divisible by 11, z should be 4..
as value of z cannot be any other number, we can form only on 1 distinct combination..
ANSWER:B
Question: If 9 is a factor of 2x, then which of the following may not be an integer?
A.6x/54 + 2x/3
B.(4x-18)/9
C.(2x+27)/9
D.(81-4x^2)/81
Answer: A.6x/54 + 2x/3
Explanation: The questions provides that 2x is divisible by 9, so x is either a multiple of 9 or x = 9/2 = 4.5
If x = 4.5 then 6x/54 = (6*4.5)/ (6*9) = 1/2. Not an integer.
The answer is A.
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
A.7 2 ½ kmph
B.2 8 ½ kmph
C.8 2 ½ kmph
D.2 2 ½ kmph
Answer: D.2 2 ½ kmph
Explanation: 100 --- 10 DS = 10
? ---- 1
75 ---- 15 US = 5
? ----- 1 S = (10 - 5)/2
= 2 2 ½ kmph
Answer: D
Question: A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 9% microphotonics; 14% home electronics; 10% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
A.108°
B.10°
C.18°
D.36°
Answer: A.108°
Explanation: 9% microphotonics;
14% home electronics;
10% food additives;
29% genetically modified microorganisms;
8% industrial lubricants;
100-(9+14+10+29+8)=30% basic astrophysics.
30% of 360° is 108°.
Answer: A.
Question: How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 35 percent alcohol?
A. 7/2
B. 300/13
C. 20/3
D. 8
Answer: B. 300/13
Explanation: 20% Alcohol solution means; in the 100 liter solution, 20 liters of solution is alcohol and 80 liters other solvents.
If we addxliters of alcohol to the solution, the solution becomes100+xliters and alcohol, which was 20 liters, becomes 20+x liters.
According to the statement;
20+x = 35% of (100+x)
OR
20+x=(100+x)7/20
400+20x=700+7x
13x=300
x=300/13
Ans:B
Question: 3,5,8,13,22,__
A.37
B.38
C.39
D.40
Answer: C.39
Explanation: 5=3*2-1
8=5*2-2
13=8*2-3
22=13*2-4
39=22*2-5
ANSWER:C
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
A.3/8
B.3/2
C.3/6
D.3/1
Answer: B.3/2
Explanation: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 ==> 27 x + 17 y = 23 x + 23 y ==> 4 x = 6 y ==> x/y = 3/2.
Answer: B
Question: The size of a television screen is given as the length of the screen's diagonal. If the screens were flat, then the area of a square 19-inch screen would be how many square inches greater than the area of a square 17-inch screen?
A.36
B.4
C.16
D.38
Answer: A.36
Explanation: Pythogoras will help here!
let the sides be x and diagonal be d
Then d ^2 = 2x^2
and
Area = x^2
Now plug in the given diagonal values to find x values
and then subtract the areas
Ans will be 19^2/2 - 17^2 /2 = 72 /2 = 36
Ans A.
Question: The banker's gain of a certain sum due 3 years hence at 10% per annum is Rs. 36. What is the present worth ?
A.Rs. 400
B.Rs. 300
C.Rs. 500
D.Rs. 350
Answer: A.Rs. 400
Explanation: Explanation :
T = 3 years
R = 10%
TD = (BG ×100)/TR = (36×100)/(3×10) = 12 × 10 = Rs. 120
TD = (PW × TR)/100
⇒ 120 = (PW ×3×10)/100
⇒ 1200 = PW × 3
PW = 1200/3 = Rs. 400 Answer : Option A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
A.12/459
B.12/452
C.12/455
D.22/452
Answer: C.12/455
Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
When three marbles are drawn, the probability that one is yellow and two are red
= (2C1)(4C2)/15C3
= (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13) = 12/455
Answer:C
Question: The cost price of a Rs. 100 stock at 4 discount, when brokerage is 1/5% is
A.96.0
B.96.5
C.96.2
D.96.8
Answer: C.96.2
Explanation: Cost Price = 100−4+1/5=96.2
Answer is C.
Question: If I, J and K are digits and 9IJK is a 4-digit number that is divisible by 5, which of the following is a possible product of I, J and K?
A.23
B.48
C.72
D.25
Answer: D.25
Explanation: Key to this question is to remember the fact that a number divisible by 5 must end with 5 OR 0 (i.e K).
If K had to be 0, product should also be 0 regardless of I and J.
The product is a multiple of 5. Only one answer choice meets the requirement.
Ans D.
Question: If 2/3 of A=75% of B=0.6 of C, then A:B:C is
A.2:3:3
B.3:4:5
C.4:5:6
D.9:8:10
Answer: D.9:8:10
Explanation: Solution: According to the question,
Or, (2A/3) = (75B/100) = (C*6/10);
Above relation gives;
A*2/3 = B*3/4;
→	A/B = 9/8;
And,
B*3/4 = C*3/5;
→	B/C = 8:10;
Thus,
A:B:C = 9:8:10.
Answer: Option D
Question: The average number of shirts with Salman, Ambani and Dalmiya is 54, if all of them reached a shopping mall in Delhi and purchased 8 shirts each of them then average number of shirt each of them now has
A.66
B.63
C.62
D.can't be determined
Answer: C.62
Explanation: Answer
Required average
= Old average + New average
= 54 + 8 = 62
Correct Option: C
Question: The product of Diana's age, in years, and a third of Rashid's age, in years, is 32. If Diana is 4 years older than Rashid is, then how old is Rashid ?
A.6
B.8
C.9
D.12
Answer: B.8
Explanation: Let D be Diana's age, in years, and Rashid's age be R
D*R/3 = 32
D = R+4
Now (R+4)R / 3 = 32 = > R^2+4R-96 => R = 8 or -12.
ANS option B.
Question: A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
A.3.75
B.4
C.2
D.8
Answer: A.3.75
Explanation: 1/6 + 1/10 = 8/30 = 4/15
15/4 = 3.75 days
ANSWER A
Question: Jack and Christina are standing 240 feet apart on a level surface. Their dog, Lindy, is standing next to Christina. At the same time, they all begin moving toward each other. Jack walks in a straight line toward Christina at a constant speed of 3 feet per second and Christina walks in a straight line toward Jack at a constant speed of 3 feet per second. Lindy runs at a constant speed of 10 feet per second from Christina to Jack, back to Christina, back to Jack, and so forth. What is the total distance, in feet, that Lindy has traveled when the three meet at one place?
A.340
B.360
C.380
D.400
Answer: D.400
Explanation: The relative speed of Jack and Christina is 3 + 3 = 6 feet per second.
The distance between them is 210 feet, hence they will meet in (time) = (distance)/(relative speed) = 240/6 = 40 seconds.
For all this time Lindy was running back and forth, so it covered (distance) = (speed)*(time) = 10*40 = 400 feet.
Answer: D.
Question: Find the area of a parallelogram with base 24 cm and height 16 cm?
A.198 cm2
B.384 cm2
C.279 cm2
D.128 cm2
Answer: B.384 cm2
Explanation: Area of a parallelogram
= base * height
= 24 * 16 = 384 cm2
Answer:B
Question: There are six cards in which it has two king cards. all cards are turned down and two cards are opened what is the possibility to get at least one king.
A.1/5
B.2/5
C.3/5
D.4/5
Answer: C.3/5
Explanation: POSSIBILITY TO GET AT LEAST ONE KING IS : 2C1*4C1/6C2 + 2C2/6C2 = 8/15+1/15=3/5
ANSWER:C
Question: In a camp,there is a meal for 120 men or 200 children.If 120 children have taken the meal,how many men will be catered to with the remaining meal ?
A.20
B.30
C.40
D.48
Answer: D.48
Explanation: Solution
There is a metal for 200 children. 120 children have taken the meal.
Remaining meal is to be catered to 80 children.
Now, 200 children = 120 men
80 children =( 120/200x80)men= 48 men. Answer D
Question: For an international Mathematics Olympiad, country D will send six delegates in total — two will be supervisors and four will be contestants. There are 210 ways in which the six delegates can be chosen and there are seven candidates competing for the four contestants’ places available. How many candidates are competing for the two supervisors’ slots available?
A.1
B.2
C.3
D.4
Answer: D.4
Explanation: Option A wrong as 2 supervisor need to be selected.
Going by statement: 4 contestant chosen from 7 -- 7C4 == 35
and total ways =210
Consider 2 supervisor will be chosen from : X people.
So as per question: 35*X= 210
X= 6
So by using options,
Option A already decided wrong.
Option B 2C2 will be 1 not 6.
Option C 3C2 will be 3 not 6
Option D 4C2 will be 6 correct answer
Option E 5C2 will be 10 not 6.
ANS:D
Question: What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?
A.87
B.16
C.18
D.13
Answer: D.13
Explanation: d2 = 122 + 42 + 32
= 13
Answer:D
Question: A train 100 m long pass a telegraph pole in 5 seconds. Find the speed of the train
A.66 km/hr
B.68.4 km/hr
C.72 km/hr
D.79.2 km/hr
Answer: C.72 km/hr
Explanation: Sol.
Speed = [100/5] m/sec = [20 * 18/5] km/hr = 72 km/hr.
Answer C
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
A.33 8/3%
B.33 1/7%
C.33 1/3%
D.33 7/3%
Answer: C.33 1/3%
Explanation: 675 ---- 225
100 ---- ? => 33 1/3%
Answer:C
Question: A person's present age is two-fifth of the age of his mother. After
8 years, he will be one-half of the age of his mother. What is the present age of the mother?
A.40
B.60
C.70
D.30
Answer: A.40
Explanation: Let present age = x
age of mother = 5x/2
after 8 yrs the person will be one-half of the age of his mother
(x+8) = 1/2(5x/2 + 8)
x =16
present age of mother=
5x/2 = 5*16/2 = 40
ANSWER A
Question: Bill has a collection of new and used trading cards that he stores in two albums. His first album contains 200 cards, 60% of which are used. If 90% of the cards in his second album are used, and 65% of all of his cards are used, what is the total number of trading cards in Billâ€™s collection?
A.290
B.260
C.240
D.156
Answer: C.240
Explanation: (60/100)*200 + (90/100)*B = (65/100)*(200+B)
B = 40
Total cards = 200+B = 240
Answer: C
Question: If two 2-digit positive integers have their respective tens digits exchanged, the difference between the pair of integers changes by 4. What is the greatest possible difference between the original pair of integers?
A.76
B.80
C.82
D.90
Answer: C.82
Explanation: For maximizing most of 2 digit integer questions, you will have numbers closes to 90s and 10s.
Start with 10 and 99 you see that the differences are 89 (=99-10) and 71 (=90-19) giving you a change of 89-71=18, a lot more than 4.
Next check with 15 and 99, you get 84 (=99-15) and 76 (=95-19), you get 84-76=8. Thus the difference has been decreasing.
Finally check with 99 and 17, you get 82 (=99-17) and 78 (=97-19), giving you 82-78 = 4 . This is the answer.
Thus, the maximum difference is 99-17=82. C is the correct answer.
Question: An error 2% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?
A.3.07
B.2.3
C.3.2
D.4.04
Answer: D.4.04
Explanation: D
4.04
Percentage error in calculated area
=(2+2+(2×2/100))%=4.04
Question: Find the day of the week on 16th july, 1776.
A.Sunday
B.Monday
C.Tuesday
D.Wednesday
Answer: C.Tuesday
Explanation: Explanation:
Split the year 1775 + 16th july 1776
Till 1600 years no odd days.
1601 to 1700 = 5 odd days
1701 to 1775 = 75 + 18 = 93 = 2 odd days. (75 years has 93 odd days (∵∵ 18 leap + 57 non leap years)
upto 15th july 1776 = 31 + 29 + 31 + 30 + 31 + 30 + 15 = 197 = 1 odd day.
Total odd days = 5 + 2 + 1 = 8 = 1 odd day.
So one day after Monday. That is Tuesday.
Answer: C
Question: A train 125 m long passes a man, running at 12 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
A.37 km/hr
B.50 km/hr
C.36 km/hr
D.57 km/hr
Answer: D.57 km/hr
Explanation: Speed of the train relative to man = 125/10 = 25/2 m/sec.
= 25/2 * 18/5 = 45 km/hr
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.
x - 12 = 45 => x = 57 km/hr.
Answer:D
Question: Rs.2600 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
A.1600
B.1700
C.1800
D.1900
Answer: A.1600
Explanation: (x*5*1)/100 + [(2600 - x)*6*1]/100 = 140
X = 1600
ANSWER:A
Question: The value of (.02)2 + (0.52)2 + (0.035)2/ (0.002)2 + (0.052)2 + (0.0035)2
A.100
B.1000
C..001
D..0001
Answer: A.100
Explanation: (.02)2 + (0.52)2 + (0.035)2 / (0.002)2 + (0.052)2 + (0.0035)2
= a2+b2+c2 / ( a /10) 2+ ( b/10) 2 + ( c/10) 2
where a= .02, b= .52, c= .035
= 100(a2+b2+c2) / a2+b2+c2 = 100
ANSWER:A
Question: There are 2 sections A and B in a class, consisting of 30and 20 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, Find the average of the whole class?
A.35kg
B.37kg
C.42kg
D.38kg
Answer: D.38kg
Explanation: Total weight of 36+44 students = 30*40 + 20*35 = 1900
Average weight of the class is = 1900/50 = 38 kg
Answer is D
Question: In Arun's opinion, his weight is greater than 61 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 64 kg. If all of them are correct in their estimation, what is the average of diferent probable weights of Arun ?
A.86.5 kg
B.62.5 kg
C.46.5 kg
D.26.5 kg
Answer: B.62.5 kg
Explanation: Let Arun's weight be X kg.
According to Arun, 61 < X < 72.
According to Arun's brother, 60 < X < 70.
According to Arun's mother, X < 64.
The values satisfying all the above conditions are 62 and 63.
Required average = (62 + 63) / 2 = 62.5 kg
Answer: B
Question: When a merchant imported a certain item, he paid a 9 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $67.50, what was the total value of the item?
A.$1,150
B.$1,450
C.$1,750
D.$2,150
Answer: C.$1,750
Explanation: Let x be the value in excess of $1,000.
0.09x = 67.5
x = $750
The total value was $750 + $1,000 = $1,750.
The answer is C.
Question: The present age of a father is 4 years more than three times the age of his son. Three years hence, father's age will be 10 years more than twice the age of the son. Find the present age of the father.
A.30
B.38
C.29
D.40
Answer: A.30
Explanation: if the present age be x years.
father's will be (3x+4)years..
so, (3x+4+3)=2(x+3)+10
or, x=9
so the fathers present age =(3x+3)=(3*9+3)years =30years..
ANSWER : OPTION A
Question: A man can row upstream at 10kmph and downstream at 20kmph. Find man's rate in still water ?
A.5km/hr
B.15km/hr
C.10km/hr
D.20km/hr
Answer: B.15km/hr
Explanation: Rate in still water = 1/2 (10+20) = 15km/hr
Answer is B
Question: The difference between a number and its two-fifth is 510. What is 30% of that number?
A.253
B.255
C.252
D.251
Answer: B.255
Explanation: Let the number be x. Then,
x - 2/5 x = 510
x = (510 * 5)/3 = 850
30% of 850 = 255.
Answer:B
Question: By selling an article at Rs.1000, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
A.s.600
B.s.480
C.s.500
D.s.450
Answer: A.s.600
Explanation: SP = 1000
Profit = 25%
CP = (SP)*[100/(100+P)]
= 1000 * [100/125]
= 800
Loss = 25% = 25% of 800 = Rs.200
SP = CP - Loss = 800 - 200 = Rs.600
ANSWER:A
Question: Out of first 40 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is -.
A.1/2
B.16/19
C.4/5
D.31/40
Answer: D.31/40
Explanation: n(S) = 40
n(Even no) = 20 = n(E)
n(Prime no) = 12 = n(P)
P(EᴜP) = 20/40 + 12/40 - 1/40 = 31/40
ANSWER:D
Question: If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,861,997 minutes earlier? (Assume standard time in one location.)
A.6:35
B.6:30
C.6:27
D.6:24
Answer: B.6:30
Explanation: 6:27 minus 2,861,997 in any way must end with 0.
The only answer choice which ends with 0 is B.
The answer is B.
Question: Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old his son. Then the sum of the present ages of the son and the father is:
A.108
B.75
C.80
D.110
Answer: A.108
Explanation: Let the present ages of the father and son be 2x and x years respectively.
Then, (2x - 18) = 3(x - 18) => x = 36
Required sum = (2x + x) = 108 years.
ANSWER A
Question: In a 50-mile trip, the first 10 miles were completed at 50 mph. If the average speed for the whole trip was 60 mph, what was the average speed in the last 40 miles?
A.1200/19 mph
B.1100/19 mph
C.1000/17 mph
D.900/17 mph
Answer: A.1200/19 mph
Explanation: The time to complete the first 10 miles was (10 miles / 50 mph) = (1/5) hours.
The time to complete the whole trip was (50 miles / 60 mph) = (5/6) hours.
The time to complete the last 40 miles was (5/6) - (1/5) = (19/30) hours.
The average speed in the last 40 miles was (40 miles / (19/30) hours) = 1200/19 mph.
The answer is A.
Question: The digital sum of a number is the sum of its digits. For how many of the positive integers 24-140 inclusive is the digital sum a multiple of 7?
A.7
B.8
C.14
D.15
Answer: D.15
Explanation: is there other way than just listing?
25
34
43
52
59
61
68
70
77
86
95
106
115
124
133
15 ways..
D
Question: 0.03 x 0.35=?
A.3.15e-05
B.0.000315
C.0.105
D.0.0105
Answer: D.0.0105
Explanation: 3 x 35 = 105
Sum of decimal places =4
Therefore, 0.03 x 0.35 = 0.0105
Answer is D.
Question: If x is 20 percent greater than 80, then x =
A.68
B.70.4
C.96
D.105.6
Answer: C.96
Explanation: X is 20% greater than 80 means X is 1.2 times 80 (in other words 80 + 20/100 * 80 = 1.2 * 80)
Therefore, X = 1.2 * 80 = 96.00
ANSWER:C
Question: The average of first 15 natural numbers is?
A.7
B.8
C.9
D.10
Answer: B.8
Explanation: Sum of 15 natural no. = 240/2 = 120
Average = 120/15 = 8
Answer:B
Question: Evaluate: 30 - 12÷3×2 = ?
A.20
B.22
C.24
D.26
Answer: B.22
Explanation: According to order of operations, 12÷3×2 (division and multiplication) is done first from left to right
12÷3×2 = 4 × 2 = 8
Hence
30 - 12÷3×2 = 30 - 8 = 22
correct answer B)22
Question: the sum of 5th and 21th term of A.P. is equal to the sum of 8th , 15th and 13 th term . find the term which is 0
A.11
B.10
C.12
D.13
Answer: B.10
Explanation: t5 + t21 = t8 + t15 + t13
=> a+4d + a+20d = a+7d + a+14d + a+12d
=> a + 9d = 0
=> t10 = 0 i.e. 10th term is zero.
ANSWER: B
Question: A began business with Rs.45000 and was joined afterwards by B with Rs.5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
A.6
B.5
C.7
D.4
Answer: C.7
Explanation: 45*12 : 54*x = 2: 1
x = 5
12 -5 = 7
Answer: C
Question: In a sports club with 30 members, 17 play badminton and 19 play tennis and 3 do not play either. How many members play both badminton and tennis?
A.7
B.8
C.9
D.10
Answer: C.9
Explanation: Let x play both badminton and tennis so 17-x play only badminton and 19-x play only tennis. 2 play none and there are total 30 students. hence,
(17-x)+(19-x)+x+3=30
39-2x+x=30
39-x=30
x=9
So 9 members play both badminton and tennis.
C
Question: In an election between two candidates, 75 % of the voters cast their votes, out of which 2% of the
votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the
total number of votes
A.16800
B.15800
C.16700
D.15700
Answer: A.16800
Explanation: Explanation:
Let the total number of votes enrolled are x.
Number of votes cast = 75% of x
Valid votes = 98% of 75% of x
Now, as 9261 is the 75% of valid casted votes so,
75% of 98% of 75% of x = 9261 [imporant]
=>75×98×75×x100×100×100=9261=>x=16800
Answer: Option A
Question: In a basket 7 apples are available. Jack wants to take 5 apples.In how many ways to choose apples?
A.21
B.12
C.22
D.30
Answer: A.21
Explanation: There are 7C5 possible ways to choose apples
7C5=7!/5!*2!=7*6*5!/5!*2*1
=21 ways
Ans:option A
Question: Two numbers N and 14 have LCM = 56 and GCF = 10. Find N.
A.24
B.40
C.44
D.54
Answer: B.40
Explanation: The product of two integers is equal to the product of their LCM and GCF. Hence.
14 × N = 56 × 10
N = 56 × 10 / 14 = 40
correct answer B
Question: The operationis defined for all integers a and b by the equation ab = (a - 1)(b - 1). If x15 = 98, what is the value of x ?
A.8
B.7
C.10
D.11
Answer: A.8
Explanation: ab = (a - 1)(b - 1)
x15 = (x-1)(15-1) = 98 --> x-1=7 --> x=8
Answer: A.
Question: The price of a certain car this year is $ 42,000, which is 25 percent greater than the cost of the car last year. What was the price of the car last year?
A.$27,000
B.$28,000
C.$31,500
D.$33,600
Answer: D.$33,600
Explanation: 125% of Cost of car last year = $42000
1.25 of Cost of car last year = $42000
i.e. Cost of car last year = $42000/1.25 = $33600
Answer: option D
Question: Find the odd man out
3, 8, 15, 24, 34, 48, 63
A.15
B.24
C.34
D.48
Answer: C.34
Explanation: difference between numbers are 5, 7, 9, 11, 13, 15
3+5=8
8+7=15
15+9=24
24+11=35
35+13=48
48+15=63
ANSWER:C
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
A.8
B.9
C.10
D.89
Answer: A.8
Explanation: 80% --- 12
120% --- ?
80/120 * 12 = 8
Answer: A
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
A.9.8 sec
B.12.1 sec
C.12.42 sec
D.14.3 sec
Answer: B.12.1 sec
Explanation: Speed = 72 * 5/18 = 20 m/sec
Total distance covered = 110 + 132 = 242 m.
Required time = 242/20 = 12.1 sec.
ANSWER:B
Question: When x divided by 288, the remainder is 47. Find the remainder when the same x is divided by 24?
A.20
B.21
C.23
D.26
Answer: C.23
Explanation: 23
Option C