RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A train travels 250 km in 2 hours and 350 km in 4 hours.find the average speed of train.
A.80 kmph
B.60 kmph
C.70 kmph
D.100 kmph
Answer: D.100 kmph
Explanation: As we know that Speed = Distance / Time
for average speed = Total Distance / Total Time Taken
Thus, Total Distance = 250 + 350 = 600 km
Thus, Total Speed = 6 hrs
or,Average Speed = 600/6
or, 100kmph.
ANSWER:D
Question: Jack and Paul are running 1000m. Jack runs 1.5Km/hr faster than Paul but also finishes the race 1.5 sec earlier. What is the speed of Jack??
A.19.6
B.20.6
C.21.6
D.22.6
Answer: B.20.6
Explanation: distance(given) 1000m
paul speed(let)= x m/s
time(paul take)= 1000/x sec
jack speed= x + 1.5*(5/18) m/s
tym (jack)= 1000/(x+7.5/18) s
tym(paul) - tym (jack) = 1.5
solving for x we get 20.20
speed of jack is 20.20+ 7.5/18=20.61
ANSWER:B
Question: Two employees M and N are paid a total of $594 per week by their employer. If M is paid 120 percent of the salary paid to N, how much is N paid per week?
A.$240
B.$250
C.$260
D.$270
Answer: D.$270
Explanation: 1.2N + N = 594
2.2N = 594
N = 270
The answer is D.
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 8km?
A.4
B.7
C.8
D.9
Answer: A.4
Explanation: M = 4
S = 2
US = 4 - 2 = 2
D = 8
T = 8/2 = 4
Answer:A
Question: The slant height of a cone is 21 cm and radius of the base is 10 cm, find the curved surface of the cone.
A.330
B.770
C.660
D.100
Answer: C.660
Explanation: π * 21* 10= 660
Answer:C
Question: Machine P and Machine Q are each used to manufacture 220 sprockets. It takes Machine P 10 hours longer to produce 220 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
A.5
B.2
C.55
D.95
Answer: B.2
Explanation: P makes x sprockets per hour.
Then Q makes 1.1x sprockets per hour.
220/x = 220/1.1x + 10
1.1(220) = 220 + 11x
11x = 22
x = 2
The answer is B.
Question: In a box, there are 10 red, 8 blue and 5 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
A.4/51
B.10/21
C.8/23
D.11/31
Answer: C.8/23
Explanation: Total number of balls = 10+8+5 = 23
E = event that the ball drawn is neither red nor green
= event that the ball drawn is red
n(E) = 8
P(E) = 8/23
Answer is C
Question: If 7 gallons of gasoline are added to a tank that is already filled to 3/4 of its capacity, the tank is then filled to 9/10 of its capacity. How many gallons does the tank hold?
A. 20
B. 24
C. 36
D. 42
Answer: D. 42
Explanation: Let the Capacity of the tank=C
(3/4)C + 7 = (9/10)C
=>(9/10)C - (3/4)C = 7
=>(3/20)C = 7
=>C = (7*20)/3 = 46.66
Number of gallons of gasoline that the tank currently holds = 3/4*C +7 = 34.99+7 = 41.99=42
Answer D
Question: A small company is planning to rent either computer A or computer B to print customer mailing lists. Both computer A and computer B must be rented on an hourly basis. The rental fee is based only on the amount of time the computer is turned on. It will cost 40 percent more per hour to rent computer A than to rent computer B. Computer B would, however, require 20 hours more than computer A to do the job. If either computer A, or computer B were rented the total cost to rent the computer would be $880.00. What would be the approximate hourly charge to rent computer B?
A.$9.40
B.$12.57
C.$13.20
D.$17.80
Answer: B.$12.57
Explanation: Pa = price of A
Pb = price of B
Ta = time for A to complete the job
Tb = time for B to complete the job
Given
Pa = 1.4 Pb
Ta+20 = Tb
Pa*Ta = Pb*Tb=880
1.4Pb * (Tb-20) = Pb*Tb
1.4 Pb Tb - Pb Tb = 1.4 Pb * 20
0.4PbTb = 28Pb
Tb = 28/0.4 = 70
Pb=880/70 ~ 12.57
B
Question: There are three prizes to be distributed among eight students. If no students gets more than one prize, then this can be done in?
A.10
B.45
C.56
D.20
Answer: C.56
Explanation: Explanation :
3 prize among 8 students can be distributed in 8C3 ways = 56 ways.
Answer : C
Question: What is the difference between the place values of two sevens in the numeral 54179479 ?
A.699990
B.99990
C.69930
D.699930
Answer: C.69930
Explanation: Explanation:
Required Difference
= 70000 - 70 = 69930
Answer is C
Question: A train 100 m long crosses a platform 250 m long in 7 sec; find the speed of the train?
A.94 kmph
B.58 kmph
C.54 kmph
D.180 kmph
Answer: D.180 kmph
Explanation: D = 100 + 250 = 350
T = 7
S = 350/7 * 18/5 = 180 kmph
Answer:D
Question: If the population of a certain country increases at the rate of one person every 15 seconds, by how many persons does the population increase in 60 minutes?
A.80
B.100
C.150
D.240
Answer: D.240
Explanation: Since the population increases at the rate of 1 person every 15 seconds, it increases by 4 people every 60 seconds, that is, by 4 people every minute. Thus, in 60 minutes the population increases by 60 x 4 = 240 people.
Answer. D.
Question: In a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. If pqrs = 1365, and if 1< p < q < r < s, how many students in the class are finance majors?
A.3
B.5
C.8
D.11
Answer: B.5
Explanation: pqrs = 1365 = 3* 5 *7 * 13
Since 1< p < q < r < s, the number of students who are finance majors is q = 5.
The answer is B.
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 80 as remainder. Find the no. is?
A.220880
B.145778
C.220081
D.220080
Answer: D.220080
Explanation: (555 + 445) * 2 * 110 + 80 = 220000 + 80 = 220080
D
Question: In given series 1, 2, 6, 15, 31, 56, 91 only one number is incorrect. Find out that wrong number
A.91
B.92
C.90
D.60
Answer: A.91
Explanation: 1,
1 + 12 = 2,
2 + 22 = 6,
6 + 32 = 15,
15 + 42 = 31,
31 + 52 = 56,
56 + 62 = 92
Last number of given series must be 92 not 91.
ANSWER:A
Question: A car covers a distance of 618 km in 6 ½ hours. Find its speed?
A.104 kmph
B.103 kmph
C.298 kmph
D.186 kmph
Answer: B.103 kmph
Explanation: 618/6
= 103 kmph
Answer:B
Question: If a: b = 3:4, b:c = 7:9, c:d = 5:7, find a:d?
A.5/12
B.5/15
C.5/10
D.5/11
Answer: A.5/12
Explanation: a/d = (3/4)*(7/9)*(5/7) => 5/12
Answer: A
Question: 2,400 has how many positive divisors?
A.20
B.24
C.32
D.36
Answer: D.36
Explanation: By factorization, we can write 2400 as 2400=2^5*3*5^2.
The number of factors is (5+1)(1+1)(2+1) = 36
The answer is D.
Question: pow(1000,9) ÷ pow(10,24) = ?
A.10000
B.1000
C.100
D.10
Answer: B.1000
Explanation: Given Exp. = pow(1000,9) = pow(pow(10,3),9) = pow(10,27) = pow(10, (27-24)) = pow(10,3) = 1000
Answer B
Question: In May, the groundskeeper at Spring Lake Golf Club built a circular green with an area of 80π square feet. In August, the groundskeeper doubled the distance from the center of the green to the edge of the green. What is the total area of the renovated green?
A.160π
B.320π
C.400π
D.540π
Answer: B.320π
Explanation: Area = πR^2, so doubling the radius results in an area that is 4 times the original area.
4(80π) = 320π
The answer is B.
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
A.1:96.
B.1:90
C.1:95
D.1:92
Answer: A.1:96.
Explanation: Let the length and the breadth of the rectangle be 4x cm and 3x respectively.
(4x)(3x) = 6912
12x2 = 6912
x2 = 576 = 4 * 144 = 22 * 122 (x > 0)
=> x = 2 * 12 = 24
Ratio of the breadth and the areas = 3x : 12x2 = 1 : 4x
= 1:96.
Answer: A
Question: 12, 38, 116, 350, 1052, ?
A.1800
B.2200
C.2800
D.3158
Answer: D.3158
Explanation: Explanation :
12
12 × 3 + 2 = 38
38 × 3 + 2 = 116
116 × 3 + 2 = 350
350 × 3 + 2 = 1052
1052 × 3 + 2 = 3158
Answer : Option D
Question: A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
A.5/6
B.5/9
C.5/1
D.5/2
Answer: B.5/9
Explanation: Two balls can be picked from nine balls in ways.
We select one white ball and one red ball from five white balls and four red balls. This can be done
The required probability = (5 * 4)/9C2 = 20/36 = 5/9
Answer:B
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 9 kilometer long bridge, at the same speed?
A.4 min
B.2 min
C.10 min
D.9 min
Answer: C.10 min
Explanation: S = 600/40 = 15 mps
S = 9000/15 = 600 sec = 10 min.Answer: C
Question: If the volume of the cube is 729 cm3, then the surface area of the cube will be
A.486 sq.cm
B.456 sq.cm
C.446 sq.cm
D.476 sq.cm
Answer: A.486 sq.cm
Explanation: Explanation:
a3=729; a=9
surface area= (6 x 9 x 9) = 486 cm2
Answer: A
Question: Which of the following is the equation of the line in the xy-plane that has slope 0
(I) x = 2
(II) y = 5
(III) x + y = 0
A.I
B.III
C.I&II
D.II
Answer: D.II
Explanation: y =mx+c therefore y-c= mx then m =(y-c)/x
m=0 means y = c constant ..= II
D
Question: If set A={2,2,2,....,n times} , set B={3,3,3,3....m times} and set C={11,11,11...k time} , then in terms of m,n and k , how many possible subsets from sets A,B, and C can be created ?
A.k(n+m+mn)+ k
B.(1+n+m+mn)(k+1)
C.k^2(mn+n/m)
D.kmn(k+m+n)
Answer: B.(1+n+m+mn)(k+1)
Explanation: The number of subsets is (m + 1)(n + 1)(k + 1). The answer is not given in that form. Instead, the first two factors have been FOILed together:
(mn + m + n + 1)(k + 1).
ANSWER:B
Question: Five children — A, B, C, D, and E — are going to sit in five chairs in a row. Child D must be somewhere to the left of child E. How many possible configurations are there for the children?
A.60
B.180
C.240
D.360
Answer: A.60
Explanation: The number of ways to seat 5 people is 5! = 120.
Child D will sit to the left of Child E in exactly half of these arrangements.
The total number of possible arrangements is 120/2 = 60
The answer is A.
Question: Ada and Paul received their scores on three tests. On the first test, Ada's score was 4 points higher than Paul's score. On the second test, Ada's score was 4 points higher than Paul's score. If Paul's average (arithmetic mean) score on the three tests was 3 points higher than Ada's average score on the three tests, then Paul's score on the third test was how many points higher than Ada's score?
A.9
B.14
C.17
D.23
Answer: C.17
Explanation: My take is Option D (23)
I followed a simple approach (explained below):
Test 1: Ada's score = Paul's score + 10
Test 2: Ada's score = Paul's score + 4
Avg. of Paul's score = 3 points higher than Avg. of Ada's score
This implies that : Sum of Paul's score [3 Tests] = 9 points higher than Sum of Ada's score [3 Tests] (9 points higher since 3 points were given in terms of average of 3 scores)
So, Paul needs to score 17 points higher than Ada in Test 3, since Paul needs to compensate for the lower score in test 1 and Test 2 ( 17 = 4 + 4 + 9)
C
Question: Shopkeeper rise price by 36% and gives successive discount of 10% and 15%. What is overall % gain or loss?
A.5.04%
B.4.04%
C.3.04%
D.6.04%
Answer: B.4.04%
Explanation: Let d initial price be 100
36% rise
now price = 136/100*100 = 136
10% discount
Then price = 136 * 90/100 = 122.4
15 % discount
Then price = 122.4 * 85/100 = 104.04
So Gain = 104.04 - 100 = 4.04
Gain % = Gain * 100 /CP
==> 4.04 * 100 /100 = 4.04%
ANSWER:B
Question: Which of the number is the odd one out?
A.21165
B.17642
C.81002
D.52832
Answer: D.52832
Explanation: D
52832
All the others are three digit numbers followed by their square root, eg 729 followed by its square root, 27.
Answer is D
Question: There are 20 poles with a constant distance between each pole. A car takes 22 second to reach the 12th pole. How much will it take to reach the last pole.
A.38
B.41
C.28
D.88
Answer: A.38
Explanation: Assuming the car starts at the first pole.
To reach the 12th pole, the car need to travel 11 poles (the first pole doesn't count, as the car is already there).
11 poles 22 seconds
1 pole (22/11) seconds
To reach the last (20th) pole, the car needs to travel 19 poles.
19 pole 19 x (22/11) seconds
=38 seconds
Answer:A
Question: Neha's mother was four times her age 12 years ago. She will be twice as old as Neha 12 years from now. What is the present age of Neha's mother ?
A.60 years
B.33
C.77
D.66
Answer: A.60 years
Explanation: Explanation:
Let Neha's present age be 'x' years.
Her age 12 years ago = (x – 12) years
Therefore, her mother's age 12 years ago = 4(x – 12)
Her mother's present age = 4x – 48 + 12 = 4x – 36
Neha's age after 12 years = x + 12
Her mother's age after 12 years = 4x – 36 + 12 = 4x – 24
4x – 24 = 2(x + 12)
4x – 2x = 24 + 24
x = 24
Therefore, Neha's present age = 24
Her mother's present age = 4x – 36 = 4(24) – 36 = 60 years
ANSWER: A
Question: In a fort there was sufficient food for 200 soldiers for 31days. After 27 days, 120 soldiers left the fort. for how many extra days will the rest of the food last for the remaining soldiers?
A.5
B.6
C.7
D.8
Answer: B.6
Explanation: 200*31=27*200+x*80
x=10
it means that 6 extra days
ANSWER:B
Question: If a sequence of 8 consecutive odd integers with increasing values has 9 as its 7th term, what is the sum of the terms of the sequence?
A.22
B.32
C.36
D.40
Answer: B.32
Explanation: Seventh term, a7 = 9
Number of terms,n = 8
an= a1 + (n-1)d
a7= a1 + 6d
=>9 = a1 + 12
=>a1 = -3
8th term , a8 = 11
Sum of terms of the sequence = n/2[first term + last term]
= 4*[-3 + 11]
= 4*8
= 32
Answer B
Question: Find the simple interest on Rs. 68,800 at 16 2/3% per annum for 9 months.
A.s.8600
B.s.8000
C.s.7500
D.s.7000
Answer: A.s.8600
Explanation: P = Rs.68800,R = 50/3% p.a and T = 9/12 years = 3/4years.
S.I. = (P*R*T)/100 = Rs.(68,800*(50/3)*(3/4)*(1/100))
= Rs.8600
Answer is A.
Question: If 4<(7-x)/3, which of the following must be true?
I. 5<x
II. |x+3|>2
III. -(x+3) is positive
A.II only
B.III only
C.I and II only
D.II and III only
Answer: A.II only
Explanation: 12<7-x
x<-5
x+5<0
1.5<x...not possible
2.True.....Check for values x=-6,-7,-8....... etc
3.True.. Since x+5<0 -(x+5) will always be positive
Hence, Ans is A..
Question: How much does a watch lose per day, if its hands coincide every 64 minutes?
A.35 8/11 mins
B.31 8/11 mins
C.32 8/11 mins
D.30 8/11 mins
Answer: C.32 8/11 mins
Explanation: 55 min. spaces are covered in 60 min.
60 min spaces are covered in (60/55 * 60)min = 65 5/11 min
Loss in 64 min = ( 65 5/11- 64 ) = 16/11 min
Loss in 24 hrs = ( 16/11 * 1/64 * 24 * 60 ) min
= 32 8/11 min
Answer is C.
Question: A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets
A.20%
B.50%
C.60%
D.70%
Answer: B.50%
Explanation: Number of runs made by running = 110 - (3 x 4 + 8 x 6)
= 120 - (60)
= 60
Now, we need to calculate 60 is what percent of 120.
=> 60/120 * 100 = 50%
B
Question: A box contains four cents, of which two centss have heads on both their faces, one cent has tail on both its faces and the fourth cent is a normal one. A cent is picked at random and then tossed. If head is the outcome of the toss, then find the probability that the other face (hidden face) of the cent tossed is also a head.
A.4/5
B.3/5
C.2/5
D.3/4
Answer: A.4/5
Explanation: There are four ways (2 heads in one two-headed cent and 2 heads in the other two-headed cent)
How many ways can you get heads from this entire set of cents? There are five ways (four as identified above and one from the normal coin)
Therefore probability = 4/5
Option A
Question: In an election between two candidates first candidate got 60% of votes polled and second Candidate got 270 votes. The total number of votes polled was
A.votes
B.votes
C.votes
D.votes
Answer: A.votes
Explanation: Total = 100 %,
First person got 60%
second person got remaining 40 % of votes.
than 40 % = 270
40% = 40×7 = 270
100% =100×7 =700 votes
A)
Question: The probability of a team winning a match given Matt is playing the match is 0.7. The probability of the team winning a match given Matt is not playing the match is 0.5. The probability of Matt playing any match is 0.8.
If it is known that the team has won the last match, what is the probability that Matt played the match?
A.A)0.848
B.B)0.7
C.C)0.8571
D.D)0.7531
Answer: A.A)0.848
Explanation: Out of 100 matches:
Matt is plays in 80 and not plays in 20.
Out of 80 matches Matt plays in, team wins 0.70*80 = 56.
Out of 20 matches Matt does not play in, team wins 0.5*20 = 10.
So, out of 100 matches 56 + 10 = 66 are won.
It is known that the team has won the last match. Out of 66 matches won, Matt is in 56: 56/66 = 0.848...
Answer: A.
Question: Jayant gets 3 marks for each right sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums attempted correctly is
A.25
B.20
C.26
D.27
Answer: B.20
Explanation: this is linear eqn in 2 variable
the Ist eqn
3x - 2y = 40
x + y = 30
solving
x = 20 (right answer)
y = 10 (wrong answer)
ANSWER:B
Question: The largest 4 digit number exactly divisible by 66 is?
A.9935
B.9939
C.9944
D.9966
Answer: D.9966
Explanation: Largest 4-digit number = 9999
66) 9999 (151
9966
Largest number : 9966
Answer : D
Question: If a function f is defined by f(x)= 3/(x-1) for all non zero numbers x. If f(a) = 3 and f(ab) = 9 then b= ?
A.1/3
B.1/2
C.-1/2
D.-1/3
Answer: A.1/3
Explanation: Given that f(x) = 3/(x-1) and f(a) = 3, then f(a) =3/(x-1)=3 ===> x-1=1 ==> x =2, then backsolve using the answer choices:
f(ab) = f(2b) = 3/(2b-1)
A) 1/3 ===> f(2*1/3) = f(2/3) = 3/((2*2/3)-1) = 9 WINS
B) 1/2 ===> f((2*1/2) = f(1) = 3/1-1 = undefined
C) -1/2 ===> f(2*-1/2) = f(-1) = 3/1+1 = 3/2
D) -1/3 ===> f(2*-1/3) = f(-2/3) = 3/(2*-2/3 -1) = -9/7
E) -2 ===> f(2*-2) = f(-4) = 3/(2*-4 -1) = -1/3
Answer: A
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
A.1500
B.1800
C.2100
D.1950
Answer: A.1500
Explanation: Explanation:
P = 15(100/10)2 => P = 1500
ANSWER IS A
Question: From a seven-member dance group, three will be chosen at random to volunteer at a youth dance event. If Kori and Jason are two of the seven members, what is the probability that both will be chosen to volunteer?
A.a) 1/42
B.b) 1/7
C.c) 4/21
D.d) 2/7
Answer: A.a) 1/42
Explanation: Total number of ways to choose 3 out of 7 = 7C3 = 420.
Number of ways to choose 2 (any but Kori and Jason) out of 5 (excluding Kori and Jason) = 5C2 = 10.
P = favorable/total = 10/420 = 1/42.
Answer: A.
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.277
C.265
D.2987
Answer: A.200
Explanation: Profit on first article = 20% of 1000 = 200.
This is equal to the loss he makes on the second article. That, is he makes neither profit nor loss.Answer: A
Question: A pack of 52 playing cards, 2cards are drawn together at random. Find the probability of both thecards being queen?
A.2/113
B.2/115
C.1/221
D.2/215
Answer: C.1/221
Explanation: Two cards can be drawn from a pack of 52 playing cards in 52C2 ways. i,e., 52 x 51 / 2 = 1326 ways. The event that two kings appear in a single drawn of cards is 4C2 ways, i.e 6 ways.
∴ The probability that the two cards drawn from a pack of 52 cards are kings = 6/1326 = 1/221
C
Question: By selling 99 pens, a trader gains the cost of 66 pens. Find his gain percentage?
A.66 1/3%
B.66 7/3%
C.66 1/8%
D.66 2/3%
Answer: D.66 2/3%
Explanation: Let the CP of each pen be Rs. 1.
CP of 99 pens = Rs. 99
Profit = Cost of 33 pens
= Rs. 33
Profit% = 66/99 * 100
= 66 2/3%
Answer: D
Question: In the xy-plane, line q passes through point (3,-2) and intersect perpendicularly with line n that passes through points (0,3) and (3,5). What is the equation of line q?
A.3x+2y-5=0
B.3x+2y+5=0
C.2x-3y-12=0
D.2x+3y=0
Answer: A.3x+2y-5=0
Explanation: If two lines intersect perpendicularly, we get -1 when we multiply two slopes together. The slope of a line n is (5-3)/(3-0)=2/3. Hence, the slope of a line q should be -3/2. Since it crosses (3,-2), if we calculate we get 3x+2y=5. Hence, the correct answer is A.
Question: A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 221, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?
A.22
B.33
C.39
D.77
Answer: C.39
Explanation: Let f = pure fuji , g = pure gala and c - cross pollinated.
c = 10% of x where x is total trees.
c = .1x
also 3x/4 = f and c+f = 221 => .1x + 3/4x = 221 => x = 260
260 - 221 = pure gala = 39.
Answer C
Question: If a and b,c are both even numbers, which of the following is an even number?
A.a + b+c
B.a + b +c+ 1
C.abc+1
D.abc + 3
Answer: A.a + b+c
Explanation: Sol.
Sum of 3 even numbers is always even.
Answer A
Question: 8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 12 such machines to perform the same job?
A.6 hours
B.8.75 hours
C.12 hours
D.4 hours
Answer: D.4 hours
Explanation: Let each machine do 1 unit of work for 1 hour
8 machines --> 8 units of work in 1 hour
For 6 hours = 8*6 = 48 Units of total work is done.
Now this 48 Units of total work must be done by 3 machines
12 units of work(12 machines) ---> 1 hour
for 48 Units of work
12*4 ---> 1*4 hours
D 4 hours
Question: Which of the following is a prime number? ?
A.33
B.81
C.83
D.93
Answer: C.83
Explanation: C
83
Clearly, 83 is a prime number.
Question: Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder?
A.120cc
B.360cc
C.450cc
D.589C
Answer: B.360cc
Explanation: Explanation:
r1 = x r2 = 3x
Π * x2 * h = 40
Π9 x2h = 40 * 9 = 360cc
Answer: B
Question: How many W 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 W=> 2*5*4*3*2*1 = 240.B
Question: Mary works in a restaurant a maximum of 60 hours. For the first 20 hours, she is paid $8 per hour. For each overtime hour, she is paid at a rate which is 25% higher than her regular rate. How much Mary can earn in a week?
A.300
B.420
C.560
D.320
Answer: C.560
Explanation: Mary receives $8(20)=$160 for the first 20 hours.
For the 40 overtime hours, she receives $8(0.25) +$8 = $10 per hour, that is $10(40)=$400.
The total amount is $160+$400 = $560
Answer C 560.
Question: A locker consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
A.200
B.215
C.220
D.223
Answer: B.215
Explanation: Since each ring consists of six different letters, the total number of attempts possible with the three rings is = 6 * 6 * 6 = 216.
Of these attempts, one of them is a successful attempt.
Maximum number of unsuccessful attempts = 216 - 1 = 215
B
Question: A server generates random passwords of 3 letters followed by 3 digits. How many different passwords are possible if letters and digits can be repeated?
A.26 × 3 × 10 × 4
B.26³ x 1000
C.26³ × 10 000 × 9 × 9 × 9 × 9
D.26 × 25 × 24 × 10 000
Answer: B.26³ x 1000
Explanation: OFFICIAL SOLUTION:
(B) The formula for permutations of events is the product of the number of ways each event can occur. There are 26 letters and 10 digits. So there are 26 × 26 × 26 options for the three letters, and 10 × 10 × 10 for the three digits. The number of passwords generated is 26 × 26 × 26 × 10 × 10 × 10 = 26³ × 1000.
The correct answer is choice (B).
Question: Find the surface area of a cuboid 12 m long, 10 m broad and 18 m high
A.868 sq.cm
B.1200 sq.cm
C.1032 sq.cm
D.1302 sq.cm
Answer: C.1032 sq.cm
Explanation: Explanation:
Surface area = [2 (12 x 10 + 10 x 18 + 12 x 18)] cm2 = (2 x 516)cm2 = 1032 cm2.
Answer: C
Question: Find the cost of fencing around a circular field of diameter 70 m at the rate of Rs.1 a meter?
A.288
B.132
C.220
D.592
Answer: C.220
Explanation: 2 * 22/7 * 35 = 220
220* 1 = Rs.220
Answer: C