RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A dishonest fruit seller professes to sell his goods at the cost price but weighs 800 grams for a kg weight. Find his gain percent.
A.100%
B.150%
C.50%
D.200%
Answer: A.100%
Explanation: He gives 800 grams but charges the price of 1000 grams (1 kg) ⇒ on every 800 grams, he gains (1000 – 800) grams i.e. 200 grams.
∴ His gain % = 200⁄800 × 100% = 25%
Short cut : Gain % = error/true weight−error=100%
Answer A
Question: The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is ?
A.4328
B.4322
C.4320
D.4332
Answer: C.4320
Explanation: x Not younger_______ ↑
The last ball can be thrown by any of the remaining 6 players. The first 6 players can throw the ball in ⁶P₆ ways.
The required number of ways
= 6(6!)
= 4320
Answer: C
Question: If the sales tax reduced from 3 1/2 % to 3 1/3%, then what difference does it make to a person who purchases an article with market price of Rs. 10800 ?
A.11
B.13
C.14
D.18
Answer: D.18
Explanation: Required difference = [3 ½ % of Rs.10800] – [3 1/3 % of Rs.10800]
= [(7/20-(10/3)]% of Rs.10800 =1/6 % of Rs.10800
= Rs. [(1/6)8(1/100)*10800] = Rs. 18.
Answer is D.
Question: In a mixture there is ratio of alcohol and water is 4:3.if in this mixture we will add 3litre of water.then ratio become 4:5.then calculate the amount of alcohol?
A.4
B.5
C.6
D.8
Answer: C.6
Explanation: Let in mixture alcohol=4x litre,and water=3x litre
4x/3x+3=4/5
X=1.5
Amount of alcohol=(4×1.5)=6 litre
Answer C
Question: If a farmer wants to plough a farm field on time, he must plough 100 hectares a day. For technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. What is the area of the farm field and how many days the farmer planned to work initially?
A.600
B.490
C.720
D.1400
Answer: D.1400
Explanation: Let x be the number of days in the initial plan. Therefore, the whole field is 100â‹…x hectares. The farmer had to work for x+2 days, and he ploughed 85(x+2) hectares, leaving 40 hectares unploughed. Then we have the equation:
100x=85(x+2)+40
15x=210
x=14
So the farmer planned to have the work done in 6 days, and the area of the farm field is 100(14)=1400 hectares
correct answer D
Question: Which of the following statements is definitely false, if M is the sister of N and O. T is M's son and U is M's daughter?
A.N is T's uncle
B.O is T's uncle
C.N is U's brother
D.N is M's brother
Answer: C.N is U's brother
Explanation: Explanation:
All the statements are true except C (N is U's brother), U is M's daughter that makes N her uncle, not brother.
Answer: C) Q is T's son
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 26 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
A.457 km
B.444 km
C.547 km
D.564 km
Answer: D.564 km
Explanation: 1h ----- 5
? ------ 60
12 h
RS = 26 + 21 = 47
T = 12
D = 47 * 12 = 564
Answer:D
Question: If a = -0.5, which of the following is true?
A.a < a^3 < a^2
B.a < a^2 < a^3
C.a^2 < a < a^3
D.a^3 < a < a^2
Answer: A.a < a^3 < a^2
Explanation: a=-0.5;
a^2=0.25;
a^3=-0.125;
Answer : A
Question: A can do a work in 6 days. B can do the same work in 4 days. Both A&B together will finish the work and they got $2000 from that work. Find their shares?
A.600,400
B.500,500
C.300,700
D.800,1200
Answer: D.800,1200
Explanation: Ratio of their works A:B = 6:4
Ratio of their wages A:B = 2:3
A's share = (2/5)2000 = 800
B's share = (3/5)2000 = 1200
correct option is D
Question: The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
A.91.5 cm
B.91.6 cm
C.97.5 cm
D.51.5 cm
Answer: A.91.5 cm
Explanation: Perimeter of the sector = length of the arc + 2(radius)
= (135/360 * 2 * 22/7 * 21) + 2(21)
= 49.5 + 42 = 91.5 cm
Answer: A
Question: In a circular racetrack of length 100 m, three persons A, B and C start together. A and B start in the same direction at speeds of 10 m/s and 8 m/s respectively. While C runs in the opposite direction at 15 m/s. When will all the three meet for the first time on the track after the start?
A.After 4 s
B.After 50 s
C.After 100 s
D.After 200 s
Answer: C.After 100 s
Explanation: A takes (100m) / (10m/s) = 10s to finish one complete round.
B takes (100m) / (8m/s) = 12.5s to finish one complete round.
C takes (100m) / (15m/s) = (20/3)s to finish one complete round.
For them to meet, the time will be LCM of above three times i.e,
LCM(10,12.5,20/3) = LCM(10,25,20)/GCD(1,2,3)=100/1=100sec
ANSWER:C
Question: Two pipes A and B can separately fill a tank in 20 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
A.12min
B.14min
C.15min
D.13min
Answer: A.12min
Explanation: 4/20 + x/15 = 1
x = 12
ANSWER:A
Question: The average weekly salary per head of the entire staff
of a factory consisting of supervisors and the laborers
is Rs 60.The average salary per head of the supervisors
is Rs 400 and that of the laborers is Rs 56.Given that
the number of supervisors is 12.Find the number of
laborers in the factory
A.1000
B.1010
C.1020
D.1030
Answer: C.1020
Explanation: Average salary of laborerRs 56 Average salary of supervisors Rs 400
Average salary of entire staff Rs 60
340 4
Number of laborer / Number of Supervisors = 340 / 4=85/1
Thus,if the number of supervisors is 1,number of laborers =85.
Therefore if the number of supervisors is 12 number of laborers
85*12=1020.
ANSWER C
Question: Reduce
368/600
to the lowest terms
A.30/25
B.28/25
C.28/29
D.46/75
Answer: D.46/75
Explanation: Explanation:
We can do it easily by in two steps
Step1: We get the HCF of 368 and 600 which is 8
Step2: Divide both by 8, we will get the answer 46/75
Answer: Option D
Question: Health insurance Plan A requires the insured to pay $1000 or 50% of total cost, whichever is lower. Plan B requires the insured to pay the initial $300, but then pays 80% of the cost over $300. Which of the following is a cost level for which both insurance plans pay out the same amount?
A.$600
B.$1000
C.$3800
D.$5300
Answer: C.$3800
Explanation: Pay out for plan A: Cost-$1,000 or Cost-0.5*Cost=0.5*Cost, when 0.5*Cost<$1,000;
Pay out for plan B: 0.8(Cost-$300);
The question is: for which of the following costs the pay outs are the same.
C-1,000=0.8(C-300) --> for C=3,800 and 0.5C=0.8(C-300) --> for C=800. As we have only $3,800 listed then it must be a correct answer.
Or you can use backsolving for this question:
A. C=$600: pay out for plan A will be 0.5*600=300 (as 0.5*600<1,000) and pay out for plan B will be 0.8*(600-300)=240;
B. C=$1000: pay out for plan A will be 0.5*1,00=500 (as 0.5*1,000<1,000) and pay out for plan B will be 0.8*(1,000-300)=560;
C. C=$3800: pay out for plan A will be 3,800-1,000=2,800 (as 0.5*3,800>1,000) and pay out for plan B will be 0.8*(3,800-300)=2,800 --> 2,800=2,800;
D. C=$5300: pay out for plan A will be 5,300-1,000=4,300 (as 0.5*5,300>1,000) and pay out for plan B will be 0.8*(5,300-300)=4,000;
E. C=$6200:pay out for plan A will be 6,200-1,000=5,200 (as 0.5*6,200>1,000) and pay out for plan B will be 0.8*(6,200-300)=4,720.
Answer: C.
Question: An assembly line produces 36 cogs per hour until an initial order of 60 cogs is completed. The speed of the assembly line is then immediately increased so that it can produce 60 cogs per hour until another 60 cogs are produced. What is the overall average output, in cogs per hour, for the assembly line during this whole time?
A.38
B.40
C.42
D.45
Answer: D.45
Explanation: The time to produce the first 60 cogs is 60/36 = 5/3 hours.
The time to produce the next 60 cogs is 60/60 = 1 hour.
The average output is 120 cogs / (8/3) hours = 45 cogs per hour.
The answer is D.
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 12 sec. If one is moving twice as fast the other, then the speed of the faster train is?
A.22
B.98
C.60
D.40
Answer: D.40
Explanation: Let the speed of the slower train be x m/sec.
Then, speed of the train = 2x m/sec.
Relative speed = ( x + 2x) = 3x m/sec.
(100 + 100)/12 = 3x => x = 50/9.
So, speed of the faster train = 100/9 = 100/9 * 18/5 = 40 km/hr.
Answer:D
Question: Square A has an area of 81 square centimeters. Square B has a perimeter of 32 centimeters. If square B is placed within square A and a random point is chosen within square A, what is the probability the point is not within square B?
A.17/64
B.17/81
C.16/25
D.3/5
Answer: B.17/81
Explanation: I guess it's mean that square B is placed within square Aentirely.
Since, the perimeter of B is 32, then its side is 32/4=8 and the area is 4^2=64;
Empty space between the squares is 81-64=17 square centimeters, so if a random point is in this area then it won't be within square B: P=favorable/total=17/81.
Answer: B
Question: A circular path of 12 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 50p per m2?
A.Rs.49
B.Rs.40
C.Rs.81.72
D.Rs.42
Answer: C.Rs.81.72
Explanation: Explanation:
π (14^2 - 12^2) = 22/7 * 52 = 163.43
163.43 * 1/2 = Rs.81.72
Answer: Option C
Question: A man rows his boat 95 km downstream and 60 km upstream, taking 2 hours each time. Find the speed of the stream?
A.76 kmph
B.6 kmph
C.9 kmph
D.8 kmph
Answer: C.9 kmph
Explanation: Speed downstream = d/t = 95/(2)
= 48 kmph
Speed upstream = d/t = 60/(2)
= 30 kmph
The speed of the stream = (48 - 30)/2
= 9 kmph
Answer:C
Question: If (10^20) – 65 is written as a base 10 integer, what is the sum of the digits in that integer?
A.200
B.170
C.180
D.100
Answer: B.170
Explanation: We know that (10^20) is ending 00, so (10^20) – 65=9....9935
total number of digits in (10^20) – 65 is 20, or 18 digits of 9 and two digits 3 and 5.
answer choice is 18*9+(3+5)
18*9+8=170
Answer is B 170
Question: All the students of class are told to sit in circle shape. Here the boy at the 10 th position is exactly opposite to 40 th boy. Total number of boys in the class?
A.50
B.45
C.60
D.55
Answer: C.60
Explanation: As half the circle shape consist of 40-10=30 boys,
So total number of boys in full circle=2*30=60
ANSWER: C
Question: If a tire rotates at 400 revolutions per minute when the car is traveling 144km/h, what is the circumference of the tire?
A.2
B.1
C.4
D.6
Answer: D.6
Explanation: 400 rev / minute = 400 * 60 rev / 60 minutes
= 24,000 rev / hour
24,000 * C = 144,000 m : C is the circumference
C = 6 meters
correct answer D
Question: Of the four numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is
A.33
B.87
C.27
D.48
Answer: D.48
Explanation: Explanation:
Let the first number be x,
Then, sum of the four numbers = x + 4x = 5x.
so, 5x/4 = 60 or x = (60 * 4) / 5 = 48.
Answer: D) 48
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 42 years now, the son's age 4 years back was:
A.12 years.
B.14 years.
C.17 years.
D.16 years.
Answer: C.17 years.
Explanation: Let the son's present age be x years. Then, (42 - x) = x
2x = 42.
x = 21
Son's age 5 years back (21- 4) = 17 years.
ANSWER :C
Question: In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?
A.6! / 2!
B.3! * 3!
C.4! / 2!
D.(4! * 3!) / 2!
Answer: D.(4! * 3!) / 2!
Explanation: Explanatory Answer
Step 1: Group the vowels as one unit and rearrange
ABACUS is a 6 letter word with 3 of the letters being vowels.
Because the 3 vowels have to appear together, let us group the AAU as one unit.
There are 3 consonants in addition to one unit of vowels.
These 4 elements can be rearranged in 4! ways.
Step 2: Rearrange the letters within the unit containing the vowels
The 3 vowels can rearrange among themselves in 3!/2! ways as "a" appears twice.
Hence, the total number of rearrangements in which the vowels appear together is 4!∗3!/2!
Choice D
Question: A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:
A.4630
B.4920
C.5120
D.7960
Answer: C.5120
Explanation: l = (48 - 16)m = 32 m,
b = (36 -16)m = 20 m,
h = 8 m.
Volume of the box = (32 x 20 x 8) m3 = 5120 m3.
answer :C
Question: Which one of the following numbers is exactly divisible by 12?
A.A)12
B.B)13
C.C)14
D.D)15
Answer: A.A)12
Explanation: 12/12=1 answer is A
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
A.5
B.6
C.9
D.7
Answer: D.7
Explanation: 7 * 8 : 9 * x = 8:9
=> x= 7
Answer: D
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. 72 percent of the distribution lies within one standard deviation d of the mean. If the shelf’s average life is 7.6 years and the standard deviation is 2.6 years, what percent of the distribution has more than 10.2 years as a shelf’s average life?
A.17%
B.16%
C.15%
D.14%
Answer: D.14%
Explanation: Average = 7.6
SD = 2.6
7.6 - 2.6 < 72% of distribution < 7.6 + 2.6
5.0 < 72% of distribution < 10.2
28% is outside this range.
Given: Distribution is symmetric. So 14% of distribution is less than 5.0 and the other 14% of distribution is greater than 10.2.
Answer: D
Question: Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen?
A.5/221
B.55/221
C.45/221
D.59/221
Answer: B.55/221
Explanation: 2 cards drawn from 52 cards,so chances are 52C2
chances for drawing both black cards=26C2
chances for drawing both queen=4C2
so we will be having 2 queens in black cards,thus it is 2C2 which is 1
probability=(325+6-1)/1326=55/221
ANSWER:B
Question: A man swims downstream 36 km and upstream 48 km taking 6 hours each time, what is the speed of the man in still water?
A.5
B.24
C.7
D.42
Answer: C.7
Explanation: 36--- 6 DS = 6
? ---- 1
48 ---- 6 US = 8
? ---- 1 M = ?
M = (6 + 8)/2 = 7
Answer: C
Question: The prime sum of an integer n greater than 1 is the sum of all the prime factors of n, including repetitions. For example , the prime sum of 12 is 7, since 12 = 2 x 2 x 3 and 2 +2 + 3 = 7. For which of the following integers is the prime sum greater than 33 ?
A.440
B.512
C.550
D.620
Answer: D.620
Explanation: Large numbers are made in two ways:
Either by taking small prime numbers and raising them to higher powers or taking large prime numbers in the first place.
31*2 = 62 (large prime number)
2^6 = 64 (many small prime numbers)
To get a sum as large as 33 or more, you would need some large prime numbers. So options such as 512, 700 and 750 which have small prime numbers as factors should be ignored first. 440 also splits into 11, 4( which is 2*2), 2, 5 - relatively small prime numbers.
You are left with 620 which is 31*2*2*5 (sum greater than 33)
Answer (D)
Question: Curious Elva asked her father what he would gift for her nineteenth birthday. Father replied that it would depend on the day of the week and be one of SUNglasses, MONeybag, ..., FRIedcake, and SATchel. Please help Elva find the day of the week on 08-Jan-2029
A.Monday
B.Tuesday
C.Thursday
D.Saturday
Answer: A.Monday
Explanation: at year 2000 there is 0 odd day as it is multiple of 400.
from 2001 to 2028 there are 28 years in which 28/4 = 7 are leap years and 21 are ordinary days.
Odd day in 7 leap years = 7*2 = 14
Odd day in 21 ordinary days = 21
total odd day till 31 dec 2028 = 14+21 = 35/7 = 0
hence 1jan 2029 will be Monday.
&
8jan 2029 will also be monday
ANSWER:A
Question: If the mean of weight of students in a class of weight 38, 50, 70, 88 and 110 is 71.5 kg, what is the mean of the class if student of weight 50 kg left the class i.e state whether what will happen to original mean value ?
A.increase
B.decrease
C.remains unchanged
D.can't say
Answer: A.increase
Explanation: Given mean of class = M1 = 71.5 kg
Mean = (Sum of all weights in class)/(no. students)
M2 = (38+70+88+110)/(4)
= 76.5 kg
since, M1 < M2
Answer =A
Question: The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of the correct time. How much a day does the clock gain or lose?
A.(10 + 10/143 )min
B.(10 + 10/343 )min
C.(10 + 10/143 )min
D.(18 + 10/543 )min
Answer: A.(10 + 10/143 )min
Explanation: Explanation:
In a correct clock, the minute hand gains 55 min. spaces over the hour hand in 60 minutes.
To be together again, the minute hand must gain 60 minutes over the hour hand.
55 minutes are gained in 60 min.
60 min. are gained in [(60/55) * 60] min = min.
But they are together after 65 min.
Therefore, gain in 65 minutes = = min.
Gain in 24 hours = = 1440/143 min.
Therefore, the clock gains (10 + 10/143 )minutes in 24 hours.
Answer: A) (10 + 10/143 )min
Question: In how much time will a train of length 120 m, moving at 36 kmph cross an electric pole?
A.sec
B.sec
C.sec
D.sec
Answer: D.sec
Explanation: Convert kmph to mps. 36 kmph = 36 * 5/18 = 10 mps.
The distance to be covered is equal to the length of the train.
Required time t = d/s = 120/10 = 12 sec.
Answer:D
Question: The population of Mangalore was 1283575 on Jan 1st 2011 and the growth rate of the population was 10% in the last year and 5% in the year prior to it,the only exception being 2009 because of huge exodus there was a decline of 20% in the population. What was the population in Jan 1 2005?
A.11,00,000
B.12,00,000
C.13,00,000
D.14,00,000
Answer: B.12,00,000
Explanation: {(105/100)^4*80/100*110/100}x=1283575=>x=12,00,000(approx)
ANSWER:B
Question: In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty.
Approximately how many faulty circuit boards exist in a group of 800 circuit boards where 64 fail inspection?
A.72
B.192
C.156
D.256
Answer: C.156
Explanation: Total of 800 boards. All that fail verification are indeed faulty. So the 64 are indeed faulty. 1/8 those that pass are also faulty.
From the 800 we know 64 fail. So 736 must pass. Of these 1/8 are faulty. 736 divided by 8 gives you 92.
What one must do now is to add to the 92 which were not detected the actually detected faulty ones, namely the 64.
Total faulty: 156.
Answer: C
Question: 33 1/3% of 36 ?
A.16
B.21
C.18
D.12 number
Answer: D.12 number
Explanation: Explanation:
33 1/3 % = 1/3
1/3 * 36 = 12
Answer: Option D
Question: A man covers a distance of 180 Km at 72 Kmph and next 190km at 88 Kmph. what is his average speed For his whole journey of 370 Km?
A.79.2 Kmph
B.79.3 Kmph
C.77.25 Kmph
D.78.5 Kmph
Answer: A.79.2 Kmph
Explanation: Formula = 2 Ã— F.S*S.P/F.S+S.P
= 2 Ã— 72 Ã— 88/88+72
= 79.2 Kmph
ANSWER IS A
Question: A pump can fill a tank with water in 6 hours. Because of a leak, it took 12 hours to fill the tank. The leak can drain all the water in ?
A.12hr
B.11hr
C.13hr
D.14hr
Answer: A.12hr
Explanation: Work done by the leak in 1 hour = 1/6 - 1/12 = 1/12
Leak will empty the tank in 12 hours
Answer is A
Question: if a bullet fired out of a gun weighs M, takes T time to leave the barrel where it has been accelerated to V, how much recoil force will the firearm (of weight X) exert against the user? (negate effect of muzzle blast)
Describe your answer as an equation for F=
A.F=XT
B.F=(MV)/T
C.F=(VT)/(MX)
D.F=(X^2)/M
Answer: B.F=(MV)/T
Explanation: B) F=(MV)/T
Question: In the Mountainside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
A.50.
B.45.
C.40.
D.30.
Answer: A.50.
Explanation: Given there are 50 students In the Mountainside summer camp , 90% of 50 = 45 boys and remaining 5 girls.
Now here 90% are Boys and 10% are Girls.
Now question is asking about how many boys do we need to add, to make the girls percentage to 5 or 5%..
If we add 50 to existing 45 then the count will be 95 and the girls number will be 5 as it.
Now boys are 95% and girls are 5%. ( out of 100 students = 95 boys + 5 girls ).
IMO option A is correct.
Question: City A to city B, Raja drove for 1 hour at 72 mph and for 3 hours at 80 mph. What was the average speed for the whole trip?
A.57
B.57.5
C.78
D.59
Answer: C.78
Explanation: The total distance is 1×72+3×80=312
And the total time is 4 hours. Hence,
Average Speed=(Total Distance/Total Time)=312/4=78
Answer : C
Question: In a local school district, the high school and middle school each received r dollars toward funding for the student arts program. The high school enrolled 100 students and the middle school enrolled 50 students. Later, the middle school transferred s dollars to the high school so that they would have received the same funding per student. Which of the following is equivalent to s?
A.r/3
B.r/5
C.r/7
D.r/9
Answer: A.r/3
Explanation: Total per head = 2r/150
After s transfer both schools have total for head.
So at High School it will be:
r+s = (100)* (2r/150) = 4r/3
i.e. s = 4r/3 - r/1 =4r-3r/3=r/3
Answer : A
Question: If x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6}, what is the probability that xy will be even?
A. 1/6
B. 1/3
C. 1/2
D. 2/3
Answer: B. 1/3
Explanation: Probably the best way to solve would be to use 1 - P(opposite event) = 1 - P(odd) = 1 - P(odd)*P(odd) = 1 - 2/4*2/3 = 8/12 = 1/3.
Answer: B.
Question: A car covers a distance of 1260 km in 10 hours. Find its speed?
A.104
B.277
C.298
D.126
Answer: D.126
Explanation: 1260/10 = 126 kmph
Answer:D
Question: Set A of 8 positive integers may have the same element and have 40. And set B of 8 positive integers must have different elements and have 40. When m and n are the greatest possible differences between 40 and other elements’ sums in set A and set B, respectively, m-n=?
A.21
B.29
C.23
D.25
Answer: A.21
Explanation: This is maximum-minimum. Hence, 40-(1+1+1+1+1+1+1)=32 and 40-(1+2+3+4+5+6+7)=11. So, 32-11=21. The correct answer is A.
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
A.2/15
B.2/21
C.5/26
D.3/29
Answer: C.5/26
Explanation: P(Both are red),
=6C213C2=6C213C2
=5/26
C
Question: If |5x-15| = 100, then find the sum of the values of x?
A.1
B.-2
C.6
D.-3
Answer: C.6
Explanation: |5x-15| = 100
5x-15 = 100 or 5x-15 = -100
5x = 115 or 5x = -85
x = 23 or x = -17
sum = 23-17 = 6
Answer is C
Question: The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations E could be chosen from this menu?
A.10
B.20
C.40
D.80
Answer: C.40
Explanation: E=4C1 * 5C2
= 4 * (5*4*3!)/(3!2!)
= 4 * 10
= 40
Answer - C
Question: The difference between the simple interest on a certain sum at the rate of 10%per annum for 2 years and compound interest which is compounded every 6 months is Rs.124.05. what is the principal sum
A.124.05
B.124.09
C.124.04
D.124.06
Answer: A.124.05
Explanation: Explanation:
Compound Interest on P at 10% for 2 years when interest is compounded half-yearly
=
Simple Interest on P at 10% for 2 years =
Given that difference between compound interest and simple interest = 124.05
Answer:A
Question: If 15 students in a class average 73% on an exam and 10 students average 88% on the same exam, what is the average in percent for all 25 students?
A.77%
B.78%
C.79%
D.80%
Answer: C.79%
Explanation: (15*73 + 10*88) / 25 = 79%
The answer is C.