RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A box has exactly 100 balls, and each ball is either red, blue, or white. If the box has 12 more blue balls than white balls, and six times as many red balls as blue balls, how many white balls does The box has ?
A.8
B.10
C.2
D.14
Answer: C.2
Explanation: x = the number of red balls
y = the number of blue balls
z = the number of white balls
From the first sentence we have
Equation #1: x + y + z = 100
...the box has 12 more blue balls than white balls...
Equation #2: y = 12 + z
...thrice as many red balls as blue balls...
Equation #3: x = 6y
Solve equation #2 for z: z = y - 12
Now, we can replace both x and z with y in Equation #1
6y + y + (y - 12) = 100
8y - 12 = 100
5y = 112
y = 14
There are 14 blue balls. This is 12 more than the number of white balls, so z = 2. That's the answer. Just as a check, x = 84, and 84 + 14 + 2 = 100.
Answer = 2,(C)
Question: The dimensions of a field are 16.5 m by 10 m. A pit 10 m long, 5.5 m wide and 4 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field. What will be the rise in the height of field as a result of this operation ?
A.2 m
B.3 m
C.1 m
D.2.5 m
Answer: A.2 m
Explanation: The volume of the earth removed is 10*5.5*4 = 220 m^3.
The remaining area of the field is 16.5*10 - 10*5.5 = 110 m^2.
220 m^3 of the earth evenly spread over the area of 110 m^2 will rise the height by (height) = (volume)/(area) = 220/110 = 2 m.
Answer: A
Question: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent of solution B. If 500 grams of solution A are mixed with 700 grams of solution B, then liquid X accounts for what percent of the weight of the resulting solution?
A.1.66%
B.1.96%
C.10%
D.15%
Answer: A.1.66%
Explanation: I think there is a typo in question.
It should have been "By weight Liquid 'X ' makes up..... "
Weight of Liquid X = 0.8 % of Weight of A + 1.8% of Weight of B
When 500gms of A and 700gms of B is mixed :
Weight of Liquid X = (0.8 * 500)/100 + (1.8* 700)/100 = 16.6gms
% of Liquid X in resultant mixture = (16.6/1000) *100 = 1.66%
A
Question: What is the remainder when 17^200 is divided by 18 ?
A.3
B.1
C.2
D.4
Answer: B.1
Explanation: (17^200 - 1^200) is completely divisible by (17 + 1) as 200 is even.
=> (17^200 - 1) is completely divisible by 18.
Hence, when 17^200 is divided by 18, we will get 1 as remainder.
Answer is B
Question: Josh spends a total of $5.5 buying W items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then W may be which of the following?
A.99
B.100
C.101
D.112
Answer: C.101
Explanation: W items in the convenience store$5.5 = 550 cents
550 = 50a + 5b
=>110 = 10a + b
b = 110 - 10a = 10(11-a)
Hence b is even and multiple of 10.
Possible values of b:
b = 10,20,30,40,50,60,70,80,90,100
a = 11,9,8,7,6,5,4,3,2,1
The total (a+b) is 21,29,38,47,56,65,74,83,92,101
The only option is 101. Hence C.
Question: 18800 / 470 / 20
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: Explanation:
18800 / 470 / 20 = (18800 / 470) / 20 = 40 / 20 = 2
Answer: B
Question: The three sides of an acute angled triangle (all in cms) are 12, 19 and x. How many integer values can x take?
A.23
B.22
C.15
D.8
Answer: D.8
Explanation: In acute angle triangles all angles in the triangle should be less than 90.
The maximum length of x can be when it is the hypotenuse of the triangle.
So, x= sqrt(12^2 + 19^2) = 22.5 (approx)
The maximum length of x can be when side of length 12 is the hypotenuse of the triangle.
So, x = sqrt (19^2 - 12^2) = 14.7 (approx)
So, x>14.7 and x<22.5.
Hence, possible values for x can be 15,16,17,18,19,20,21 and 22. Total 8 values.
Answer D.
Question: A firm has 3 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner? (Note that two groups are considered different if at least one group member is different.)
A.64
B.68
C.72
D.76
Answer: A.64
Explanation: The number of ways to form a group of 3 is 9C3 = 84
The number of groups with no senior partner is 6C3 = 20
The number of groups with at least one senior partner is 84-20 = 64
The answer is A.
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 5:7 then find the largest number?
A.34
B.38
C.40
D.42
Answer: C.40
Explanation: 2:3
2x + 10 : 3x + 10 = 5 : 7
7[2x + 10] = 5[3x + 10]
14x + 70 = 15x + 50
15x - 14x = 70 - 50
x = 20
Then the first number is = 2
2x = 40
Short cut method:
a:b = 2:3
c:d = 5:7
1.Cross multiplication with both ratios
a * d ~ b * c = 2 * 7 ~ 3 * 5 = 14 ~ 15 = 1
2. If 10 is added both the number means 10 * 5 = 50 and 10 * 7 = 70,
Then 50 ~ 70 = 20
===> 1 -----> 20
===> 2 -----> 40 (Answer is = 40)
C
Question: Which number is the odd one out?
321
265
143
234
567
890
A.321
B.142
C.653
D.845
Answer: A.321
Explanation: A
321
In the rest there is the same difference between each digit, eg: 3 (Ã¢â‚¬â€œ1) 2 (Ã¢â‚¬â€œ1)1.
Question: If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 350, what is the least possible value of n?
A.5
B.7
C.12
D.13
Answer: B.7
Explanation: 350 = 2 * 5 * 5 * 7
so the least value forNcan be 7.
B
Question: A Man can row upstream at 52kmph and downward stream at 12 kmph. Find Man's rate of the current
A.2.8km/hr
B.52km/hr
C.20km/hr
D.50km/hr
Answer: C.20km/hr
Explanation: Rate of the current=1/2(52-12)km/hr
=20km/hr
correct option is :C
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
A.200
B.177
C.188
D.166
Answer: A.200
Explanation: Profit on first article = 20% of 1000
= 200.
Answer:A
Question: A certain office supply store stocks 2 sizes of self-stick notepads, each in 7 colors. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
A.6
B.8
C.16
D.84
Answer: D.84
Explanation: Notepads of the same color = 7 (we have 7 colors). As we have two sizes then total for the same color=7*2=14
Notepads of the different colors = 7C3=35 (we should choose 3 different colors out of 7). As we have two sizes then total for the different color=35*2=70
Total=70+14=84
Answer: D.
Question: Exactly 3/7 of the people in the room are under the age of 21, and exactly 5/11 of the people in the room are over the age of 65. If the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21?
A.21
B.35
C.33
D.60
Answer: C.33
Explanation: The total number of the people in the room must be a multiple of both 7 and 11 (in order 3/7 and 5/11 of the number to be an integer), thus the total number of the people must be a multiple of LCM of 7 and 11, which is 77.
Since, the total number of the people in the room is greater than 50 and less than 100, then there are 77 people in the room.
Therefore there are 3/7*77=33 people in the room under the age of 21.
Answer: C.
Question: In a game of billiards, A can give B 10 points in 50 and he can give C 40 points in 50. How many points can B give C in a game of 100?
A.18
B.27
C.25
D.75
Answer: D.75
Explanation: A scores 50 while B score 40 and C scores 10.
The number of points that C scores when B scores 100 = (100 * 10)/40 = 25
In a game of 100 points, B gives (100 - 25) = 75 points to C.
Answer: D
Question: At the start of an experiment, a certain population consisted of 3 animals. At the end of each month after the start of the experiment, the population size was double its size at the beginning of that month. Which of the following represents the population size at the end of 12 months?
A. 2^3
B. 3^2
C. 2(3^10)
D. 3(2^12)
Answer: D. 3(2^12)
Explanation: 3*2^n where n is the #of month --> 3*2^12 Answer (D)
Question: In a recent head-to-head run-off election, 18,000 absentee ballets were cast. 3/7 of the absentee ballets were thrown out and 2/9 of the remaining absentee ballets were cast for Candidate A. How many absentee votes did Candidate B receive?
A.2,000
B.3,000
C.6,000
D.8,000
Answer: D.8,000
Explanation: 4/7 * 7/9 (total absentee votes) = 4/9 (total votes)=4/9*18000=8000
Answer is D
Question: A marketing survey of Anytown found that the ratio of trucks to sedans to motorcycles was 3:7:2, respectively. Given that there are 9,100 sedans in Anytown, how many motorcycles are there?
A.1260
B.2600
C.3600
D.4200
Answer: B.2600
Explanation: Let the total number of trucks = 3x
total number of sedans = 7x
total number of motorcycles = 2x
total number of sedans = 9100
=> 7x = 9100
=> x = 1300
total number of motorcycles =2x = 2*1300
=2600
Answer B
Question: in a certain flower shop, which stocks four types of flowers, there are 1/4 as many violets as carnations, and 1/2 as many tulips as violets. If there are equal numbers of roses and tulips, what percent of the flowers in the shop are carnations?
A.60
B.62
C.66.66
D.64
Answer: C.66.66
Explanation: Given :-
Violets - C/4
Carnations - C
Tulip - C/8
Rose - C/8
Total flowers in terms of C = C/4+C+C/8+C/8 = 3/2 C
Percentage of Carnations = C/3C/2 *100 =66.66%
Answer C
Question: 60 men shake hands with each other. Maximum no of handshakes without cyclic handshakes.
A.190
B.200
C.210
D.1770
Answer: D.1770
Explanation: 1st person will shake hand with 59 people
2nd person will shake hand with 58 people
3rd person will shake hand with 57 people
......
total no. of handshakes = 59+58+57+...+3+2+1 = 19*(19+1)/2 = 1770
or, if there are n persons then no. of shakehands = nC2 = 60C2 = 1770
ANSWER: D
Question: A zookeeper counted the heads of the animals in a zoo and found it to be 80. When he counted the legs of the animals he found it to be 260. If the zoo had either pigeons or horses, how many horses were there in the zoo?
A.30
B.40
C.50
D.60
Answer: C.50
Explanation: Explanation :
Let the number of horses =x
Then the number of pigeons =80−x.
Each pigeon has 2 legs and each horse has 4 legs.
Therefore, total number of legs =4x+2(80−x)=260.
=>4x+160−2x=260.
=>2x=100.
=>x=50.
Answer : C
Question: A motorcyclist X drives along a circular fence at a rate of 2 rounds per hour and another motor cyclist Y at a rate of 4 rounds per hour. After how long they will cross each other for the first time?
A.10 min
B.20 min
C.30 min
D.40 min
Answer: C.30 min
Explanation: Explanation :
Since X and Y move in the same direction they cross each other when there is a difference of two round between the two. Relative speed of X and Y=4-2=2.
Time taken to complete one round at this speed = 1/2 hour
= 30minutes
Answer : C
Question: If 3 is one solution of the equation x^2 + 3x + k = 10, where k is a constant, what is the other solution?
A. -7
B. -6
C. -3
D. 1
Answer: B. -6
Explanation: The phrase “3 is one solution of the equation” means that one value of x is 3. Thus, we first must plug 3 for x into the given equation to determine the value of k. So we have
3^2 + (3)(3) + k = 10
9 + 9 + k = 10
18 + k = 10
k = -8
Next we plug -8 into the given equation for k and then solve for x.
x^2 + 3x – 8 = 10
x^2 + 3x – 18 = 0
(x+6)(x-3) = 0
x = -6 or x = 3
Thus, -6 is the other solution. Answer B.
Question: The salary of A, B, C, D, E is Rs. 8000, Rs. 5000, Rs. 14000, Rs. 7000, Rs. 9000 per month respectively, then the average salary of A, B, C, D, and E per month is
A.Rs. 7000
B.Rs. 8000
C.Rs. 8600
D.Rs. 9000
Answer: C.Rs. 8600
Explanation: Answer
Average salary
= 8000 + 5000 + 14000 + 7000 + 9000 / 5
= Rs. 8600
Correct Option: C
Question: If two women starting from same point, walking in the opposite directions with 8km/hr and 7km/hr as average speeds respectively. Then the distance between them after 3 hours is?
A.23
B.33
C.43
D.53
Answer: C.43
Explanation: Explanation:
Total distance = Distance traveled by person A+ Distance traveled by person B
= (8Ã— 3) + (7Ã— 3)
= 24+ 21
= 43 Km
Answer:C
Question: When positive integer m is divided by positive integer x, the reminder is 7 and when positive integer n is divided by positive integer y, the reminder is 11. Which of the following T is a possible value for x + y?
I. 18
II. 19
III. 20
A.I only
B.II only
C.T=III only
D.II and III only
Answer: C.T=III only
Explanation: TIP FOR SUCH QUESTIONS: Make Algebraic Equation in the beginning to understand how to proceed further. Then Start thinking the possible values of variables asked about
i.e.When positive integer m is divided by positive integer x, the reminder is 7can be understood as
m = ax +7which means thevalue of x must be greater than 7as the remainder 7 is possible only when the Divisor is bigger than the Remainder 7
i.e. Min Value of x = 8
AND
i.e.When positive integer n is divided by positive integer y, the reminder is 11can be understood as
n = by +11which means thevalue of y must be greater than 11as the remainder 11 is possible only when the Divisor is bigger than the Remainder 11
i.e. Min Value of y = 12
i.e. Minimum Value of x+y = 8+12 = 20
Hence III only can be True
Answer: Option
C
Question: If |x^2 − 30| = x, which of the following could be the value of x?
A.-6
B.-5
C.1
D.5
Answer: D.5
Explanation: The LHS is not negative, so the RHS is also not negative. Thus x >= 0.
First, let's assume that x^2-30 is negative.
-(x^2 -30) = x
x^2 + x - 30 = 0
(x+6)(x-5) = 0
x = 5 or x = -6 (However, x can not be negative.)
Then x = 5 is a possible value for x.
The answer is D.
Question: The average of 11 results is 45, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?
A.114
B.116
C.117
D.118
Answer: A.114
Explanation: 1 to 11 = 11 * 45 = 495
1 to 5 = 5 * 49 = 245
5 to 11 = 7 * 52 = 364
5th = 245 + 364 – 495=114
ANSWER:A
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 25 inch from the base of the mountain. How many km is he from the base of the mountain?
A.10.89
B.14.81
C.14.8
D.14.82
Answer: A.10.89
Explanation: Explanation:
Since 312 inch = 136 km
So 1 inch = 136/312 km
So 25 inch = (136 Ã— 25)/ 312 = 10.89 km
Answer: A
Question: A project has three test cases. Three teams are formed to study the three different test cases. James is assigned to all three teams. Except for James, each researcher is assigned to exactly one team. If each team has exactly 8 members, then what is the exact number of researchers required?
A.23
B.22
C.21
D.20
Answer: B.22
Explanation: alternatively, we have
8*3-2( because james is included in all the three teams)
=22
B
Question: A train 110 m long is running with a speed of 82 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
A.7 sec
B.6 sec
C.8 sec
D.4.5 sec
Answer: D.4.5 sec
Explanation: Speed of train relative to man = 82+ 6
= 88 km/hr.
= 88 * 5/18 = 24.44 m/sec.
Time taken to pass the men = 110 /24.44
= 4.5 sec.
Answer:D
Question: Average score for Virat Kohli in a series of 10 matches is 38.9 runs. If the average for first six matches comes out to be 42 what is his average in the last 4 matches of the series?
A.34.25
B.35
C.33.25
D.34.25
Answer: A.34.25
Explanation: Explanation:
Average runs scored by Virat Kohli in 10 matches: Total runs scored/10—(1)
Average runs scored by Virat Kohli in 6 matches: (Total runs in 6 matches)/6
=> 42 = Runs/6
=>252 runs
Using (1):
=>38.9 = Runs/10
=>389 runs
Runs scored in rest 4 matches: 389 - 252 runs
=> 137 runs
Average runs scored by Virat Kohli in 4 matches: 137/4 = 34.25 runs
ANSWER A
Question: If r, s, and t are three different positive integers whose sum is prime, which of the following statements could be true?
A.Each of r + s, r + t, and s + t is prime.
B.Each of r + 3, s + 3, and t + 3 is prime.
C.Each of r, s, and t is prime.
D.The average (arithmetic mean) of r, s, and t is prime.
Answer: C.Each of r, s, and t is prime.
Explanation: the question asks could be!!!!
this means that if at least one option works, it is the answer.
3, 7, 19 satisfies the condition, since 29 is a prime number. Since the question asks for a could be - we know automatically that C is the answer.
Question: A train covers a distance in 50 minutes, if it runs at a speed of 48kmph on an average. Find the speed at which the train must run to reduce the time of journey to 40 minutes.
A.70 km/hr
B.60 km/hr
C.10 km/hr
D.20 km/hr
Answer: B.60 km/hr
Explanation: Explanation:
We are having time and speed given, so first we will calculate the distance. Then we can get new speed for given time and distance.
Lets solve it.
Time = 50/60 hr = 5/6 hr
Speed = 48 mph
Distance = S*T = 48 * 5/6 = 40 km
New time will be 40 minutes so,
Time = 40/60 hr = 2/3 hr
Now we know,
Speed = Distance/Time
New speed = 40*3/2 kmph = 60kmph
Answer: B
Question: The positive numbers w, x, y, and z are such that x is 25 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
A.15.2%
B.16.2%
C.20.0%
D.23.2%
Answer: B.16.2%
Explanation: My strategy is same as theDobermanbut instead take z=100, which makes life a bit easy. As:
z=100
y=120 (20% greater than z)
z=144(20% greater than y)
Now calculate w 20% less than z = 144*80/100= 115.2
Now by just looking, relation between w and z:
w-z/z*100 = 16.2 - Answer B
Question: You buy a piece of land with an area of âˆš100, how long is one side of the land plot?
A.28
B.29
C.10
D.31
Answer: C.10
Explanation: Try filling the numbers into the answer y x y =
Find the closest to 100.
Answer C
Question: To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 770 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”?
A.191
B.193
C.195
D.212
Answer: B.193
Explanation: Total movies submitted are 770.
As per question we need to take 1/4 of 770 to be considered for top 10 movies = 192.25
approximate the value we 193
IMO option B is the correct answer...
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 25 seconds. The speed of the train is:
A.45 km/hr
B.50 km/hr
C.95 km/hr
D.55 km/hr
Answer: C.95 km/hr
Explanation: Speed of the train relative to man = (125/25) m/sec =25 m/sec. [(25 * (18/5)] km/hr = 90 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 90 ==> x = 95 km/hr.
ANSWER:C
Question: One ball will drop from a certain height. The height it will reach after rebounding from the floor is 50 percent of the previous height. The total travel is 225cm when it touches the floor on third time. What is the value of the original height?
A.80cm
B.90cm
C.100cm
D.120cm
Answer: B.90cm
Explanation: when Ball comes down, Then i have indicated the distance covered in green
when Ball goes up, Then i have indicated the distance covered in red
Distance travelled uptil the ball touches the floor 3rd time:h+0.5h+0.5 h+0.5*0.5 h+0.5*0.5 h
h + 2 * 0.5 * h + 2 * 0.25 * h = h (1+2*0.5+2* 0.25) = h (1+1+0.5) = 225
2.5 h = 225
h = 90.
B is the answer.
Question: A machine can finish a work in 18days and 2nd machine can finish the work in 15days. 2nd machine worked for 10days and left the job. In how many days, 1st machine can finish the remaining work?
A.4days
B.6days
C.8days
D.10days
Answer: B.6days
Explanation: 2nd machine 10days work = 1/15*10 = 2/3
Remaining work = 1 - 2/3 = 1/3
now 1/18 work is done by 1st machine in 1day
1/3 work is done by 1 machine in 18*1/3 = 6days.
Answer is B
Question: In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, those whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?
A.19
B.41
C.21
D.57
Answer: B.41
Explanation: Answer
We need to find out the number of students who took at least one of the three subjects and subtract that number from the overall 120 to get the number of students who did not opt for any of the three subjects.
Number of students who took at least one of the three subjects can be found by finding out A U B U C, where A is the set of those who took Physics, B the set of those who took Chemistry and C the set of those who opted for Math.
Now, AUBUC = A + B + C - (A n B + B n C + C n A) + (A n B n C)
A is the set of those who opted for Physics = 120/2 = 60 students
B is the set of those who opted for Chemistry = 120/5 = 24
C is the set of those who opted for Math = 120/7 = 17.
The 10th, 20th, 30th..... numbered students would have opted for both Physics and Chemistry.
Therefore, A n B = 120/10 = 12
The 14th, 28th, 42nd..... Numbered students would have opted for Physics and Math.
Therefore, C n A = 120/14 = 8
The 35th, 70th.... numbered students would have opted for Chemistry and Math.
Therefore, B n C = 120/35 = 3
And the 70th numbered student would have opted for all three subjects.
Therefore, AUBUC = 60 + 24 + 17 - (12 + 8 + 3) + 1 = 79.
Number of students who opted for none of the three subjects = 120 - 79 = 41.
choice is (B)
Question: Walking at 5/6 of its usual speed, a train is 10 minutes too late. Find its usual time to cover the journey.
A.50 min
B.20 min
C.1 hour
D.30 min
Answer: A.50 min
Explanation: new speed = 5/6 of the usual speed
new time taken = 6/5 of the usual time taken
so, ( 6/5 of the usual time ) - ( usual time ) = 10min
1/5 of the usual time = 10min
usual time = 10*5 = 50 min
correct option is A
Question: A can do a work in 16 days. A and B can do it in 8 days. How many days can B alone can do the work?
A.1/16
B.32
C.16
D.8
Answer: C.16
Explanation: Ans is:C
A's 1 day's work =1/16
(A + B)'s 1 day's work =1/8
B's 1 day's work =1/8-1/16=1/16
Therefore whole work can be done by B in 16 days. Ans:C
Question: The cost of a one-family home was $ 120,000 in 1980. In 1988, the price had increased to $ 168,000. What was the percent increase in the cost of the home?
A.60%
B.50%
C.55%
D.40%
Answer: D.40%
Explanation: Increase = 168000-120000 = 48000
% increase = 48000*100/120000 = 40%
Answer: option D
Question: A group of tourists wants to visit only three of the four cities A, B, C, and D. How many travel itineraries can they make? All cities are connected to one another and please note that visiting the same cities in a different order counts as a different itinerary.
A.18
B.24
C.28
D.32
Answer: B.24
Explanation: The number of ways to choose three cities is 4C3=4.
The number of itineraries for each group of 3 cities is 3!.
So the number of itineraries to three cities is 4*3!=24.
The answer is B.
Question: Forty ladies and fifty gentlemen are present at a party. There are 30 couples among them. If a lady and a gentleman is selected at random, what is the probability that they will be a couple?
A.3/200
B.1/100
C.1/50
D.1/40
Answer: A.3/200
Explanation: In how many ways we can select a woman and a man from 40 women and 50 men? In 40*50 = 2,000 ways.
We have a total of 30 couples so, the probability of selecting a couple is 30/2,000 = 3/200.
Ans- A
Question: Next number in the series is 1 , 2 , 4 , 13 , 31 , 112 , ?
A.221
B.222
C.223
D.224
Answer: D.224
Explanation: In
Base 5
1 (1), 2(2) , 4(4) , 13(8) , 31(16) , 112(32) ,224(64)
ANSWER:D
Question: How many 2 digit numbers that do not contain the digit 2 are there?
A.72
B.68
C.84
D.96
Answer: A.72
Explanation: Applying combinations....8 * 9 = 72...
8 for first digit...cant be 0 or 2
9 for 2nd ....cant be 2
ANSWER: A
Question: In traveling from a dormitory to a certain city, a student went 1/2 of the way by foot, 1/4 of the way by bus, and the remaining 6 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
A.35
B.24
C.14
D.24
Answer: D.24
Explanation: Whole trip = distance by foot + distance by bus + distance by car
x = 1/2x + 1/4x + 6
x - 1/2x - 1/4x = 6
x = 24km
Option: D