RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 496.80?
A.22
B.27
C.20
D.21
Answer: C.20
Explanation: CP = Rs. 540, MP = 540 + 15% of 540 = Rs. 621
SP = Rs. 496.80, Discount = 621 - 496.80 = 124.20
Discount % = 124.2/621 * 100 = 20%.Answer: C
Question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
A.17 sec
B.14 sec
C.48 sec
D.87 sec
Answer: C.48 sec
Explanation: D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 sec
Answer:C
Question: 30% of a number is more than 60% of 50 by 30. Find the number?
A.120
B.200
C.180
D.300
Answer: B.200
Explanation: (30/100) * X – (60/100) * 50 = 30
2/7 X = 60
X = 200
Answer:B
Question: N and B are integers. The expression (N+1)(B+1) is even. What can be said about N and B?
A.They are both even numbers.
B.At least one of them is even.
C.At least one of them is odd.
D.They are both odd.
Answer: C.At least one of them is odd.
Explanation: Odd x Odd = Odd
Odd x Even = Even
Even x Even = Even
To fulfill condition Either (N+1) or (B+1) needs to be Even
So either N or B needs to be odd
Or At least one of them is odd.
At least one of them is odd=C
Question: 15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?
A.32
B.87
C.30
D.99
Answer: C.30
Explanation: 3W = 2M
15M ------ 21 * 8 hours
21 W ------ x * 6 hours
14 M ------ x * 6
15 * 21 * 8 = 14 * x * 6
x = 30
Answer: C
Question: If log4X + log4(1/6) = 1/2 then the value of X is?
A.18
B.24
C.16
D.12
Answer: D.12
Explanation: log4X +log4(1/6) = 1/2
=> log4[X x 1/6] = 1/2
=>log4 [X/6] = 1/2
=> 41/2 = X/6
=> 2 = X/6
Therefore, X = 12
ANSWER:D
Question: A car after covering ½ of a journey of 100 km develops engine trouble and later travels at ½ of its original speed. As a result, it arrives 2 hours late than its normal time. What is the normal speed of the car is?
A.11
B.67
C.88
D.25
Answer: D.25
Explanation: [50/x + 50/(x/2)] – 100/x = 2
x = 25
Answer:D
Question: Sum of the squares of 3 no.'s is 138 and the sum of their products taken two at a time is 131. Find the sum?
A.20
B.24
C.26
D.28
Answer: A.20
Explanation: (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 138 + 2* 131
a + b + c = √400 = 20
A
Question: A certain manufacturer of cake, muffin, and bread mixes has 120 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
A.a. 1/10
B.b. 3/10
C.c. 1/4
D.d. 7/10
Answer: C.c. 1/4
Explanation: C+M+B-CM-MB-CB-2CMB = 120
C - cake buyers, M - muffin and B - Bread buyers. CM,MB,CB and CMB are intersecting regions.
the question asks for people who have bought only bread mixes = B-CB-MB-2CMB has to be found out.
50 + 40 + B-CB-MB-20-2CMB = 120
B-CB-MB-2CMB = 30
hence the probability = 30/120 = 1/4.
C
Question: Jason's team scored 60 points in a game basketball and he accounted for 60 percent of their points. How much did he score?
A.42
B.38
C.36
D.44
Answer: C.36
Explanation: 600/10 x (6/10) = 3600/100 or 36
Answer is C
Question: It is well known that a triangle’s area is √(p(p-a)(p-b)(p-c)),
when p=(a+b+c)/2, such that a, b, c are the lengths of sides of the triangle. If the triangle has 360, 300, and 360 as the side’s lengths, what is the triangle’s area?
A.34,200
B.36,200
C.38,200
D.49,089
Answer: D.49,089
Explanation: It is well known that a triangle’s area is √(p(p-a)(p-b)(p-c)),
when p=(a+b+c)/2,
-> P=(360+300+360)/2=510, area=√(510(510-360)(510-300)(510-360))=49,089. Therefore, the answer is D.
Question: The number 0.5 is how much greater than 1/3 ?
A.1/6
B.2/10
C.1/50
D.1/500
Answer: A.1/6
Explanation: let x be the difference
then
.5-1/3=x
5/10-1/3=x
x=1/6
ans A
Question: If E and F are non-zero integers, and E/F > 1, then which of the following must be true?
A.E > F
B.EF>F
C.E^2< F^2
D.2E< F
Answer: B.EF>F
Explanation: B
Question: A rectangular field is to be fenced on three sides leaving a side of 10 feet uncovered.If the area of the field is 600 sq.ft, how many feet of fencing will be required ?
A.130feet
B.22feet
C.20feet
D.15feet
Answer: A.130feet
Explanation: Explanation:
We are given with length and area, so we can find the breadth.
as Length * Breadth = Area
=> 10 * Breadth = 600
=> Breadth = 60 feet
Area to be fenced = 2B + L = 2*60 + 10
= 130 feet
Answer: Option A
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
A.1/213
B.1/215
C.1/216
D.2/113
Answer: C.1/216
Explanation: The total number of elementary events associated to the random experiments of throwing four dice simultaneously is:
=6×6×6×6=64=6×6×6×6=64
n(S)=64n(S)=64
Let XX be the event that all dice show the same face.
X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}
n(X)=6n(X)=6
Hence required probability,
=n(X)n(S)=664=n(X)n(S)=664
=1/216
C
Question: In measuring the sides of a rectangle, one side is taken 5% in excess, and the other 4% in deficit. Find the error percent in the area calculated from these measurements.
A.0.2%
B.0.4%
C.0.6%
D.0.8%
Answer: D.0.8%
Explanation: Let x and y be the sides of the rectangle. Then, Correct area = xy.
Calculated area = (105/100)*x * (96/100)*y = (504/500 )(xy)
Error In measurement = (504/500)xy- xy= (4/500)xy
Error % = [(4/500)xy*(1/xy) *100] % = (4/5) % = 0.8%.
ANSWER D 0.8%
Question: x is the 9 digit largest number(digits are 1 to 9 with out repeat) which is divisible by 11 and y second largest number which also divisible by 11 then difference between x and y is?
A.160
B.170
C.188
D.198
Answer: D.198
Explanation: "sum of digit at even place and sum of digit at odd places must be adjusted such that their difference is 0 or divisible by 11.
we have 9 digit without repetition,
so sum of digit from 1 to 9 =45
Let sum of digit at odd place will be 'w' and sum of even place will be 'Z'.
W + Z= 45
W - Z = 11
2W = 56
So W = 28 and Z = 17
now the digits at odd place are 2, 4, 6, 7, 9
sum of digit at odd place is 2+4+6+7+9 = 28
the digits at even place are 1,3,5,8
sum of digits at even place is 1+3+5+8 =17
so the largest no will be find by put no. of odd and even places in increasing order accordingly
1st lasrgest no is 987563412
and 2nd largest no is 987563214
diference between them
X-Y=198
ANSWER:D
Question: If K is the sum of reciprocals of the consecutive integers from 13 to 18, inclusive, then K is closest in value to which of the following?
A.1/12
B.1/3
C.1/7
D.1/6
Answer: B.1/3
Explanation: 1/13 , 1/14 , 1/15 , 1/16 , 1/17 , 1/18
Hypothetically , assume all 6 Numbers to be 1/13
Hence sum of it would result in = 6/13 ( almost equals 1/2 , or slightly less than 1/2 - )
If all 6 nos were to be 1/8 ... Sum of which would result in 6/18 = 1/3 .
Hence answer should lie between 1/2 and 1/3
------------ 1/2 ------------1/3 .
The only option that satisfies this criteria is option B i.e 1/3
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
A.287
B.23
C.72
D.27
Answer: C.72
Explanation: Length = Speed * time
Speed = L/T
S = 400/20
S = 20 M/Sec
Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 72 Kmph
Answer:C
Question: (18.6 x 17.2 ÷ 0.6) x 27.5 = ?
A.12132
B.14678
C.12708
D.14663
Answer: D.14663
Explanation: Explanation :
(319.92 ÷ 0.6) x 27.5 = 533.2 x 27.5 = 14663
Answer : Option D
Question: Pradeep has to obtain 35% of the total marks to pass. He got 185 marks and failed by 25 marks. The maximum marks are
A.300
B.600
C.800
D.1000
Answer: B.600
Explanation: Explanation :
Let their maximum marks be x.
Then, 35% of x = 185 + 25
=>35/100x= 210
x = (210100/35)
x= 600.
Answer : B
Question: 20 women can do a work in 9 days. After they have worked for 6 days. 6 more men join them. How many days will they take to complete the remaining work?
A.4:3
B.4:8
C.4:5
D.4:1
Answer: A.4:3
Explanation: (20 * 16) women can complete the work in 1 day.
1 woman's 1 day work = 1/320
(16 * 15) men can complete the work in 1 day
1 man's 1 day work = 1/240
So, required ratio = 1/240 : 1/320 = 4:3.
Answer: A
Question: The average weight of a class is x pounds. When a new student weighing 70 pounds joins the class, the average decreases by 1 pound. In a few months the student’s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds. None of the other students’ weights changed. What is the value of x?
A.26
B.86
C.88
D.90
Answer: A.26
Explanation: When the student weighs 80 pounds the average weight is x - 1 pounds;
When the student weighs 110 pounds the average weight is x + 4 pounds.
So, the increase in total weight of 110 - 70 = 40 pounds corresponds to the increase in average weight of (x + 4) - (x - 1) =5 pounds, which means that there are 40/5 = 8 students (including the new one). So, initially there were 5 student.
Total weight = 5x + 70 = 8(x-1) --> x = 26 pounds.
Answer: A.
Question: Buses A and B start from a common bus stop X. Bus A begins to travel in a straight line away from bus B at a constant rate of 20 miles per hour. One hour later, bus B begins to travel in a straight line in the exact opposite direction at a constant rate of 80 miles per hour. If both buses travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes bus B to cover the exact distance that bus A has covered and the amount of time it takes bus B to cover twice the distance that bus A has covered?
A.36
B.72
C.132
D.144
Answer: C.132
Explanation: 1st part: - In 1hr, Bus A covers 30 miles.
Relative speed of bus ABus B is (80-30) = 50mph.
So time required for Bus B to cover the exact distance as A is
50*t = 30
t=3/5 = 36min
2nd part
80*t=2d - B has to cover twice the distance
30*(t+1) = d - A traveled 1hr more and has to travel only only d
so
d/30 - 2d/80 = 1
D=120
T= 3hrs = 180 min
Question asks for +ve difference between part 1 and part 2 in minutes
= 180-36 = 132min
C
Question: John can complete a given task in 18 days. Jane will take only 12 days to complete the same task. John and Jane set out to complete the task by beginning to work together. However, Jane was indisposed 6 days before the work got over. In how many days did the work get over from the time John and Jane started to work on it together?
A.11
B.34/5
C.44/5
D.54/5
Answer: D.54/5
Explanation: In such questions, you need to start from the end. Last 4 days John works alone and completes 6 * (1/18) = 1/3 of the work.
So 2/3 of the work should have been completed by the two of them together before Jane left.
Their combined rate of work is 1/18 + 1/12 = 5/36
Time taken to complete 2/3 of the work = (2/3)/(5/36) = 24/5 days.
So total number of days taken to complete the work =24/5 + 6 = 54/5 days.
D
Question: A man counted his animals, 80 heads and 230 legs (ducks and goats). how many goats are there?
A.30
B.40
C.50
D.60
Answer: A.30
Explanation: let no of ducks=d and no of goat=g
d+g=80(heads)----------> eq 1
each duck has 2 legs and goat has 4 legs
2d+4g=230 and divide 2d+4g=230 by 2 we get d+2g=115 -----------> eq2
subtract eq1 from eq2
we get no of goats=30
ANSWER:A
Question: In how many ways, a committee of 5 members can be selected from 5 men and 5 ladies, consisting of 3 men and 2 ladies?
A.75
B.152
C.100
D.200
Answer: C.100
Explanation: (3 men out 5) and (2 ladies out of 5) are to be chosen
Required number of ways = (5C3 * 5C2) = 100
Answer is C
Question: if a no. is divided by 342 then remainder is 47.then if that no. is divided by 18 then what will be the remainder?
A.11
B.12
C.13
D.14
Answer: A.11
Explanation: let quotient be k if that no. is divided by 342 and remainder 47.
that no.= 342k+47 = (18*19k)+(18*2)+11
=18*(19k+2)+11
so remainder when divided by 18=11
answer A
Question: P is three times as fast as Q and working together, they can complete a work in 19 days. In how many days can Q alone complete the work?
A.16 1/4 days
B.27 1/4 days
C.25 1/4 days
D.14 days
Answer: C.25 1/4 days
Explanation: P = 3Q
P + Q = 3Q + Q = 4Q
These 4Q people can do the work in 19 days, which means Q can do the work in 76 days.
Hence, P can do the work in 25 1/4 days.
Answer:C
Question: Pipe A can fill a tank in 5 hours. Due to a leak at the bottom, it takes 10 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
A.67
B.10
C.18
D.26
Answer: B.10
Explanation: Let the leak can empty the full tank in x hours 1/5 - 1/x = 1/10
=> 1/x = 1/5 - 1/10 = 1/10
=> x = 10. Answer:B
Question: A and B walk around a circular track. A and B walk at a speed of 4 rounds per hour and 4 rounds per hour respectively. If they start at 6 a.m. from the same point in opposite directions, how many times shall they cross each other before 7.00 a.m.?
A.6
B.5
C.4
D.8
Answer: D.8
Explanation: Relative speed = Speed of A + Speed of B (âˆ´ they walk in opposite directions)
= 4 + 4 = 8 rounds per hour
=> They cross each other 8 times in 1 hour.
Time duration from 6.00 am to 7.00 am = 1 HOUR
Hence they cross each other 8 times before 7.00 am
Answer : D
Question: James is stacking piles of bricks. He has 2 in the first row and then one more in each row after that. If there are 20 rows all together, how many bricks are in the pile?
A.22
B.243
C.255
D.242
Answer: D.242
Explanation: =2 + 3 + 4 + ... + 22
=1 + 2 +... + 22 - 1
=(22)(23)/2 - 1
=(11)(23)-1
=243 - 1
=242
Option D
Question: A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many W ways can the test be completed if every question is unanswered?
A.24
B.120
C.625
D.720
Answer: C.625
Explanation: 5 choices for each of the 4 questions, thus total W of 5*5*5*5 = 5^4 = 625 ways to answer all of them.
Answer: C.
Question: The average age of a husband and a wife is 23 years when they were married FOUR years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
A.7 years
B.9 years
C.6 years
D.4 years
Answer: C.6 years
Explanation: 27 * 2 = 54
20 * 3 = 60
-----------
6 years
Answer: C
Question: Amy's sells kale at x dollar per pound for the first 25 pounds and .8x for every subsequent pound. Lucia's price is x per pound for the first 14 pounds and .9x for subsequent pounds. What is the minimum number of pounds over 15 for which Amy's becomes an equal or better deal?
A.24
B.25
C.36
D.27
Answer: C.36
Explanation: For Amy's deal to be better, the cost has to be less or equal to Lucia's
Assuming 'n' is the number of pounds of kale, the equation is
25x + (n-25) (0.8x) <= 14x + (n-14)(0.9x)
Resolve it:
==> 25x + 0.8nx - 20x <= 14x + 0.9nx - 12.6x
==> 3.6x <=0.1nx
==> 36x < =nx
==> x (n-36) > = 0
as x cannot be 0,
==> n - 36 >=0
==> n > = 36
so the minimum value is 36
'C' would be the correct answer
Question: 4 brothers and 3 sisters is to be arranged in a row for a photograph. In how many ways can they be seated if all the sisters sit together?
A.520 ways
B.820 ways
C.620 ways
D.720 ways
Answer: D.720 ways
Explanation: Since all the sister sit together we can consider them as a single unit. this together and 4 brothers can be arranged in 5x4x3x2x1 ways. The three sisters themselves can be arranged in 3x2x1 ways. The total number arrangements required = 5x4x3x2x3x2 ways =720 Answer : D
Question: The ratio of present ages of X and Y is 4:5. Which of the following cant be the ratio of ages of X and Y, 20 years ago?
A.2:4
B.9:10
C.2:3
D.3:5
Answer: B.9:10
Explanation: 9:10
as ratio of X:Y can not be more than 4:5 earlier.
ANSWER:B
Question: What is the greatest integer m for which the number 50!/14^m is an integer?
A.11
B.10
C.9
D.8
Answer: D.8
Explanation: 14^m = 2^m*7^m.
Let's figure out how many 7's are in the prime factorization of 50!
The multiples of 7 are: 7, 14, 21, 28, 35, 42, 7*7.
Thus 7^8 will divide 50! but 7^9 will not.
Clearly 2^8 will divide 50!
So m=8 is the largest possible integer.
The answer is D.
Question: How many seconds will a 500 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.22
B.30
C.88
D.29
Answer: B.30
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 = 500 * 3/50 = 30 sec.
Answer: B
Question: The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to:
A.0.04
B.0.004
C.0.4
D.0.0004
Answer: A.0.04
Explanation: Given expression = (11.98)(power 2) + (0.02)(power 2) + 11.98 x x.
For the given expression to be a perfect square, we must have
11.98 x (x) = 2 x 11.98 x 0.02 or
x = 0.04
Answer is A
Question: 2/5 of the fish in an aquarium are red and 1/4 of the fish are brown. 1/4 of the red fish and 2/5 of the brown fish are male. If the rest of the fish in the aquarium are female, what is the probability that a fish randomly picked from the aquarium is male?
A.1/4
B.1/5
C.1/10
D.1/12
Answer: B.1/5
Explanation: 1/4*2/5 + 2/5*1/4 = 1/5
The answer is B.
Question: In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.300 and C's share is Rs.130, what is B's capital?
A.19878
B.12798
C.6166
D.11750
Answer: C.6166
Explanation: 300 + 130 = 430
800 - 430 = 370
300 ---- 5000
370 ---- ? => 6166
Answer: C
Question: If 10/b + 20/b + 30/b is an integer, which of the following must also be an integer?
A.20/b
B.b/16
C.60/b
D.4b
Answer: C.60/b
Explanation: If 10/b + 20/b + 30/b; then (10+20+30)/b is also integer.
i.e. 60/b is an integer.
Answer is C
Question: There are 7 people and 7 chairs. In how many different ways people can occupy the chairs?
A.5040
B.4500
C.3400
D.6766
Answer: A.5040
Explanation: number of ways =7! = 5040
Answer is A
Question: A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 a.m. while machine P is closed at 11 a.m. and the remaining two machines complete the work. Approximately at what time will the work be finished?
A.11 : 30 am
B.12 noon
C.12 : 30 pm
D.1 pm
Answer: D.1 pm
Explanation: (P + Q + R)’s 1 hour’s work = (1⁄8 + 1⁄10 + 1⁄12) = 37⁄120
Work done by P, Q and R in 2 hours = (37⁄120 × 2) = 37⁄60
Remaining work = (1 - 37⁄60) = 23⁄60
(Q + R)’s 1 hour’s work = (1⁄10 + 1⁄12) = 11⁄60
Now, 11⁄60 work is done by Q and R in 1 hour.
So, 23⁄60 work will be done by Q and R in
(60⁄11 × 23⁄60) = 23⁄11 hours ≈ 2 hours.
So, the work will be finished approximately 2 hours after 11 a.m., i.e., around 1 p.m.
Answer D
Question: A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. What is the area of the circle ?
A.88 cm2
B.154 cm2
C.1250 cm2
D.616 cm2
Answer: D.616 cm2
Explanation: Perimeter of the circle = 2πr = 2(18 + 26)
⇒ 2 × 22⁄7 × r = 88 ⇒ r = 14
∴ Area of the circle
= πr2 = 22⁄7 × 14 × 14 = 616 cm2
Answer D
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
A.Rs. 650
B.Rs. 690
C.Rs. 698
D.Rs. 700
Answer: C.Rs. 698
Explanation: Explanation :
S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (815 - 117) = Rs. 698.
Answer : C
Question: A bus leaves Santa Barbara at 8:00 a.m. traveling east at 80 miles per hour. At 3:00 p.m. a plane leaves Santa Barbara traveling east at 360 miles per hour. At what time will the plane overtake the bus?
A.5:00 p.m.
B.6:00 p.m.
C.4:00 p.m.
D.5:30 p.m.
Answer: A.5:00 p.m.
Explanation: At 3:00pm, the bus is 560 miles ahead of plane
The plane travels at 360 mph, which gains 250 mph on bus
560/280= 4/3 hours = 120 minutes
3:00 + 2:00 = 5:00
The plane will overtake bus at 5:00pm
Answer:A
Question: Mary charges $8.50 per hour to clean a house. If she works 25 hours, how much
does she earn in one week?
A.$612.50
B.$112.50
C.$212.50
D.$412.50
Answer: C.$212.50
Explanation: Multiply 25 hours x $8.50 =
Answer: $212.50
correct answer C
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 24 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A.180
B.240
C.288
D.267
Answer: A.180
Explanation: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 24)m = 360 m. Let the length of the platform be x meters. Then, (x + 360)/36 = 15 ==> x + 360 = 540 ==> x = 180 m.Answer: A
Question: There are 8 books in a shelf that consist of 3 paperback books and 5 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
A.40
B.46
C.50
D.55
Answer: B.46
Explanation: 8C3 [Select any four] -5C3 [Select all hard backs] = 46
B
Question: The difference of the areas of two squares drawn on two line segments of different lengths is 32 sq	.cm. Find the length of the greater line segment if one is longer than the other by 2cm.
A.6 cm
B.7 cm
C.9 cm
D.11 cm
Answer: C.9 cm
Explanation: Solution
Let the lengths of the line segments be x cm and (x + 2) cm.
Then (x+2)2 - x2 = 32
<=> x2+4x+4-x2 = 32
<=> 4x = 28
Therefore x = 7.
Length of longer line segment	= (7 + 2) cm
= 9 cm.
Answer C
Question: John makes $50 a week from his job. He earns a raise andnow makes $90 a week. What is the % increase?
A.15%
B.16.66%
C.17.8%
D.80%
Answer: D.80%
Explanation: Increase = (40/50)*100 = (4/5)*100 = 80%.
D
Question: You collect balls. Suppose you start out with 16. Mike gives you another 17 balls. How many balls do you have at the end?
A.33
B.34
C.35
D.36
Answer: A.33
Explanation: Solution
Start with 16 balls.
Mike gives you 17 balls: 16 + 17 = 33 balls.
So you have 33 at the end.
Correct answer: A
Question: In your classes you counted 120 hands. How many students were at the class?
A.60
B.61
C.85
D.86
Answer: A.60
Explanation: Total number of hands = 120
We have 2 hands.
To find how many students were at the class, divide the total number of hands by the number of hands we have.
We get, divide 120 by 2
220 ÷ 2 = 60
Therefore, there were 60 students at the class.
ANSWER IS A
Question: In a certain candy store, 22% of the customers are caught sampling the candy and are charged a small fine, but 10% of the customers who sample the candy are not caught. What is the total percent of all customers who sample candy?
A.22%
B.23%
C.24.4%
D.25%
Answer: C.24.4%
Explanation: Since 10% of the customers who sample the candyare notcaught, then 90% of the customers who sample the candyarecaught:
{% of customers who sample candy}*0.90 = 0.22;
{% of customers who sample candy} = 0.25.
Answer: C.
Question: Find the area of the quadrilateral of one of its diagonals is 26 cm and its off sets 9 cm and 6 cm?
A.188 cm2
B.150 cm2
C.168 cm2
D.195 cm2
Answer: D.195 cm2
Explanation: 1/2 * 26(9 + 6)
= 195 cm2
Answer: D
Question: A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
A.2
B.3.5
C.3
D.4
Answer: C.3
Explanation: Area of the park = (60 x 40) m2 = 2400 m2.
Area of the lawn = 2109 m2.
Area of the crossroads = (2400 - 2109) m2 = 291 m2.
Let the width of the road be x metres. Then,
60x + 40x - x2 = 291
x2 - 100x + 291 = 0
(x - 97)(x - 3) = 0
x = 3.
C)
Question: he number of sequences in which 5 players can throw a ball, so that the youngest player may not be the last is?
A.96
B.12
C.50
D.42
Answer: A.96
Explanation: x Not younger_______ ↑
The last ball can be thrown by any of the remaining 4 players. The first 4 players can throw the ball in 4P4 ways.
The required number of ways = 4(4!) = 4320
Answer:A
Question: The ratio of numbers is 3:4 and their H.C.F is 4. Their L.C.M is?
A.23
B.77
C.88
D.48
Answer: D.48
Explanation: Let the numbers be 3x and 4x.
Then their H.C.F = x. So, x = 4.
So, the numbers are 12 and 16.
L.C.M of 12 and 16 = 48.
Answer:D