RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Can you replace the question mark with the number to complete the series, provided the pair of numbers exhibits a similar relationship ?
? : 4623 :: 9 : 647
A.?= 17
B.18
C.13
D.10
Answer: A.?= 17
Explanation: A
17
The relationship holds for below formula :
pow(x,3) - pow(x,2) - 1
=> 9*9*9 - 9*9 - 1
=> 729 - 81 - 1
=> 647
Similarly,
17*17*17 - 17*17 - 1
=> 4913 - 289 - 1
=> 4623
Question: Jonathan’s grandparents lend $1,000 to Jonathan at a simple annual interest rate of 10%. He pays them back 5 years later. How much do they receive?
A.1,000∗0.1^5
B.1,000∗0.5
C.1,000∗1.5
D.1,000∗1.1^5
Answer: C.1,000∗1.5
Explanation: 1>Simple Interest Vs Compound interest (there are answers options with compounded interest)
S.I = P x R x T formula in school the question is asking for Amount in 5 years. so (c) 1,000∗ 1.5
Ans : C
Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 4 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
A.60 gallons
B.100 gallons
C.120 gallons
D.160 gallons
Answer: D.160 gallons
Explanation: Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40
Volume of 1/40 part = 4 gallons\
Volume of whole = 4 * 40 = 160 gallons.
ANSWER:D
Question: A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum?
A.2099
B.6086
C.2976
D.2000
Answer: D.2000
Explanation: P(11/10)4 - P(6/5)2
= 482
P = 2000
Answer:D
Question: Sonika deposited Rs.6000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
A.9680
B.2277
C.2999
D.9560
Answer: D.9560
Explanation: (6000*3*2)/100 = 360
9200
--------
9560
Answer:D
Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much
Look at this series: 1.5, 2.0, 2.5, 3.0, ... What number should come next?
A.4.7
B.3.5
C.4.9
D.5.0
Answer: B.3.5
Explanation: 3.5
In this simple addition series, each number increases by 0.5
Answer : B
Question: The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical R present. If the concentration of chemical R is increased by 100 percent, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?
A.100% decrease
B.50% decrease
C.40% decrease
D.40% increase
Answer: D.40% increase
Explanation: Let A and R be the concentratrations of the individual chemicals.
Rate of chemical reaction = A^2/R
Since new R is increased by 100%
Rate = A^2/(2R)
For the rate to be constant, new value of A should be square root(2)
So new value of A = 1.414A
That means A is increased by 41.4%
Nearest solution is D
Question: Applying VBODMAS rule
A.31/120
B.31/129
C.31/1276
D.31/122
Answer: A.31/120
Explanation: Answer:A
Question: If the equation x^2−6x=-2k has at least one solution, which of the following must be true?
A.k > 9
B.k < −9
C.k = 9
D.k ≤ 9/2
Answer: D.k ≤ 9/2
Explanation: x^2−6x=-2k
=> x^2−6x + 2k = 0
For a quadratic equation to have at least one solution, its discriminant (b^2-4ac) should be non-negative.
b^2-4ac ≥0
=> 36 - 4*1*(2k) ≥0
=> 36 - 8k ≥0
=> k ≤ 9/2
Answer D
Question: A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $2200, what will be C's share of the earnings?
A.$488.9
B.$480.9
C.$588.9
D.$680.9
Answer: A.$488.9
Explanation: The dollars earned will be in the same ratio as amount of work done
1 day work of C is 1/12 (or 2/24)
1 day work of the combined workforce is (1/6 + 1/8 + 1/12) = 9/24
C's contribution is 2/9 of the combined effort
Translating effort to $ = 2/9 * 2200 = $488.9
hence:A
Question: When positive integer G is divided by positive integer B, the result is 4.35. Which of the following could be the reminder when G is divided by B?
A. 13
B. 14
C. 15
D. 16
Answer: B. 14
Explanation: the remainder will be obtained from the decimal part when G is divided by B i.e. 0.35
0.35 = 35/100 = 7/20 so possible remainders are 7,14,21,28. Only option B-14 satisfies this
PS: for B-14 G=174 and B=40
Question: A student scored an average of 80 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?
A.27
B.26
C.218
D.80
Answer: D.80
Explanation: Given M + P + C = 80 * 3 = 240 --- (1)
M + P = 90 * 2 = 180 --- (2)
P + C = 70 * 2 = 140 --- (3)
Where M, P and C are marks obtained by the student in Mathematics, Physics and Chemistry.
P = (2) + (3) - (1) = 180 + 140 - 240 = 80
Answer: D
Question: (?) - 19657 - 33994 = 9999
A.63630
B.63620
C.63670
D.63650
Answer: D.63650
Explanation: D
63650
19657+33994=53651
Let x - 53651 = 9999
Then, x = 9999 + 53651 = 63650
Question: Because he’s taxed by his home planet, Mork pays a tax rate of 40% on his income, while Mindy pays a rate of only 30% on hers. If Mindy earned 3 times as much as Mork did, what was their combined tax rate?
A.32.5%
B.34%
C.35%
D.36%
Answer: A.32.5%
Explanation: Say Morks income is - 100
So tax paid will be 40
Say Mindy's income is 3*100 = 300
So tax paid is 30% * 300 = 90
Total tax paid = 40+90 = 130.
Combined tax % will be 130/100+300 = 32.5%
ANSWER:A
Question: The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is
A.1.2 km
B.1.8 km
C.2.4 km
D.3.6 km
Answer: D.3.6 km
Explanation: Solution
Speed downstreams	=(15 + 3)kmph
= 18 kmph.
Distance travelled	(18 x 12/60)km
= 3.6km.
Answer D
Question: In how many ways can 10 books be arranged on a shelf such that a particular pair of books should always be together?
A.9! x 2!
B.5!
C.3!
D.9!
Answer: A.9! x 2!
Explanation: We have a total of 10 books.
Given that a particular pair of books should always be together. Hence, just tie these two books together and consider as a single book.
Hence we can take total number of books as 9. These 9 books can be arranged in 9P9 =9!=9! ways.
We had tied two books together. These books can be arranged among themselves in 2P2 =2!=2! ways.
Hence, required number of ways
=9!×2!
Ans: A
Question: In a BCCI meeting there are ten people. All shake hands with each other once. How many handshakes will be there altogether?
A.28
B.9
C.H
D.H19
Answer: B.9
Explanation: Answer:B
Question: 16 is what % of 90?
A.16
B.17.78
C.17
D.18.5
Answer: B.17.78
Explanation: We assume that 90 is 100%
assume 'x' is value we looking for
here,
90 = 100% and
x% = 16
therefore,
100/x = 90/16
100/x = 5.625
x = 17.78
B
Question: The speed of a boat in still water is 70kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
A.22 kmph
B.40 kmph
C.78 kmph
D.50 kmph
Answer: D.50 kmph
Explanation: Speed downstream = 70 + 20 = 90 kmph
Speed upstream = 70 - 20 = 50 kmph
Answer:D
Question: A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?
A.20
B.28
C.29
D.49
Answer: A.20
Explanation: There are three ladies and five gentlemen and a committee of 5 members to be formed.
Number of ways such that two ladies are always included in the committee =
6C3= (6 * 5 * 4)/6 = 20.
Answer:A
Question: The average age of a class of 24 students is 23 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?
A.40
B.41
C.48
D.52
Answer: C.48
Explanation: Total age of all students =24Ã—23
Total age of all students + Age of the teacher =25Ã—24
Age of the teacher
=25Ã—24âˆ’24Ã—23=24(25âˆ’23)=24Ã—2=48
Answer is C.
Question: Shipment --- No. of Defective Chips/shipment --- Total Chips in shipment
S1 ---------------------- 2 ------------------------------------------ 5,000
S2 ---------------------- 5 ------------------- ---------------------- 12,000
S3 ---------------------- 5 ------------------------------------------ 15,000
S4 ---------------------- 4 ------------------------------------------ 16,000
A computer chip manufacturer expects the ratio of the number of defective chips to the total number of chips in all future shipments to equal the corresponding ratio for shipments S1, S2, S3, and S4 combined, as shown in the table above. What’s the expected number of defective chips in a shipment of 60,000 chips?
A.14
B.20
C.22
D.24
Answer: B.20
Explanation: for a total of 51000 chips (adding S1,S2,S3,S4) total number of defective chips is 17 ((adding defective chips of S1,S2,S3,S4) so ratio is 16/48000 or 1 every 3000 chips.
Keeping this ratio constant for 60000 chips number of defective chips will be (1/3000) * 60000 = 20
B
Question: 10 2 = 0.3010, the value of log10 80 is:
A.1.602
B.1.903
C.2.903
D.3.903
Answer: B.1.903
Explanation: log10 80	= log10 (8 x 10)
= log10 8 + log10 10
= log10 (23 ) + 1
= 3 log10 2 + 1
= (3 x 0.3010) + 1
= 1.9030.
Answer: Option B
Question: Steve traveled the first 5 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
A.53.33 mph
B.88 mph
C.60 mph
D.64 mph
Answer: B.88 mph
Explanation: Average Speed = Total distance/ Total time = (40 * 5 + 80 * 3)/(5 + 3) = 440/5 = 88
Answer: B
Question: A wheel that has 24 cogs is meshed with a larger wheel of 48 cogs. When the smaller wheel has made 12 revolutions, then the number of revolutions mad by the larger wheel is:
A.6
B.5
C.3
D.7
Answer: A.6
Explanation: A
6
Let the required number of revolutions made by larger wheel be x.
Then, More cogs, Less revolutions (Indirect Proportion)
48 : 24 :: 12 : x <-> 48 x x = 12 x 24
x = (12x 24)/48
x = 6
Question: 2+4
A.8
B.13
C.28
D.6
Answer: D.6
Explanation: D
Question: (1.00001)(0.99999) - (1.00004)(0.99996) =
A.0
B.10^-10
C.3(10^-10)
D.15(10^-10)
Answer: D.15(10^-10)
Explanation: (1.00001*0.99999)-(1.00004*0.99996)
= (1+0.00001)(1-0.00001) - (1+0.00004)(1-0.00004)
= 1 - (0.00001)^2 - 1 + (0.00004)^2
= -(0.0000000001) + (0.0000000016)
= 0.00000000015=15(10^-10)
Answer D
Question: In a village of 100 households, 75 have at least one DVD player, 80 have at least one cell phone, and 55 have at least one MP3 player. If x and y are respectively the greatest and lowest possible number of households that have all three of these devices, x – y
A.55
B.45
C.65
D.35
Answer: B.45
Explanation: x= (75+55+80-100-z)/2 for z=0 ->55
y=the same for z=100 ->10
Therefore x-y=45
ANSWER:B
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 78000, then the share of B is?
A.A)34500
B.B)36099
C.C)36000
D.D)38007
Answer: C.C)36000
Explanation: Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6
Total profit = Rs. 78000
Share of B = 6/13 (78000)
= Rs. 36000
Answer:C
Question: A man can row 36 kmph in still water. It takes him thrice as long to row up as to row down the river. Find the rate of the stream?
A.14 kmph
B.12 kmph
C.18 kmph
D.1 kmph
Answer: C.18 kmph
Explanation: Explanation:
Let man's rate upsteam be X kmph
Then his rate of downstream = 3X kmph
Rate still water = 1/2 (3X + X) = 2X
2X = 36
X = 18
Rate of upstream = 18
Rate of downstream = 54
Rate of stream 1/2 ( 54 - 18) = 18 kmph
Answer: Option C
Question: Sides of a rectangular park are in the ratio 3: 2 and its area is 4704 sq m, the cost of fencing it at 50 ps per meter is?
A.287
B.1287
C.140
D.988
Answer: C.140
Explanation: 3x * 2x = 4704 => x = 28
2(84 + 56) = 280 m
280 * 1/2 = Rs.140
Answer: C
Question: At what rate percent on simple interest will Rs.750 amount to Rs.900 in 16 years?
A.6.25%
B.1.25%
C.4%
D.5%
Answer: B.1.25%
Explanation: 150 = (750*16*R)/100
R = 1.25%
Answer: B
Question: A group of 8 students bought movie tickets in one row next to each other. If Bob and Lisa are in this group, what is the probability that Bob and Lisa will each sit next to only one of the seven other students from the group?
A.5.67%
B.3.57%
C.15.17%
D.2.07%
Answer: B.3.57%
Explanation: The question basically asks about the probability that Bob and Lisa sit at the ends.
The total # of sitting arrangements is 8!.
Desired arrangement is either BUVWXYZL or LUVWXYZB. Now, UVWXYZ can be arranged in 6! ways, therefore total # of favorable arrangements is 2*6!.
P=(favorable)/(total)=(2*6!)/8!=1/28.
Answer: B.
Question: Train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m. Train B left Dale City Station, heading toward Centerville Station, at 1: 20 p.m. on the same day. The trains rode on straight tracks that were parallel to each other. If Train A traveled at a constant speed of 30 miles per hour and Train B traveled at a constant speed of 10 miles per hour, and the distance between the Centerville Station and Dale City Station is 90 miles, when did the trains pass each other?
A.3: 10 p.m.
B.5: 00 p.m.
C.5: 20 p.m.
D.5: 35 p.m.
Answer: A.3: 10 p.m.
Explanation: the distance travelled by the train A in first 20 minutes will be 10.
The distance which will be remaining is 80.
Now both trains are running in opposite direction.Their speed will be added so 40.
Time at which they will meet =80/40=2
time of train B will be 1:20 +2=3:20
Hence answer is A.Hope i am correct
Question: Hockey Stick and ball cost $50. If the Stick cost $49 more than the ball.
what is the cost of each ?
A.Hockey Stick $48.50 & ball $1.50
B.Hockey Stick $49.00 & ball $1.00
C.Hockey Stick $48.00 & ball $2.00
D.Hockey Stick $49.50 & ball $0.50
Answer: D.Hockey Stick $49.50 & ball $0.50
Explanation: D
Hockey Stick $49.50 & ball $0.50
Question: A single discount equivalent to the discount series of 20%, 12% and 5% is?
A.33.12
B.31.1
C.31.6
D.31.2
Answer: A.33.12
Explanation: Explanation:
100*(80/100)*(88/100)*(95/100) = 66.88
100 - 66.88 = 33.12
Answer: A
Question: The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 684. What is the banker's discount?
A.1240
B.1120
C.1190
D.1634
Answer: D.1634
Explanation: Explanation :
TD = (BG ×100)/TR = (684×100)/(6×12) = Rs. 950
BG = BD – TD
=> 684= BD - 950
=> BD = 684 + 950 = 1634 Answer : Option D
Question: The average weight of 20 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
A.48.79286
B.42.25
C.50.87364
D.51.25
Answer: A.48.79286
Explanation: Explanation:
Average weight of 20 boys = 50.25
Total weight of 20 boys = 50.25 × 20
Average weight of remaining 8 boys = 45.15
Total weight of remaining 8 boys = 45.15 × 8
Total weight of all boys in the class = (50.25 × 20)+ (45.15 × 8)
Total boys = 20 + 8 = 28
Average weight of all the boys = (50.25×20)+(45.15×8)/28
=
Answer: Option A
Question: How many factors of 880 are odd numbers greater than 1?
A.3
B.4
C.5
D.6
Answer: A.3
Explanation: When factorized, 880 has 6 prime factors. Of these prime factors 2 are odd and 4 are even. Hence total number of odd factors is 2*2(4), which includes 4. The total number of odd factors greater than 1 are 3.(option A)
Question: The average of six number is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. what is the average of the remaining four number ?
A.2.3
B.4.6
C.4.7
D.4.8
Answer: A.2.3
Explanation: solution:
Sum of the remaining four numbers = (3.95 × 6) - [(3.4 × 2) + (3.85 ×2)]
=23.70 -(6.8 + 7.7) = 23.70 - 14.5 = 9.20.
∴ Required average =9.2/4 = 2.3 Answer A
Question: Find the value of x: x² + 4x + 4.
A.2
B.4
C.-2
D.-4
Answer: C.-2
Explanation: That quadratic is factored as follows:x² + 4x +4 = (x+2)(x+2).Lesson 17.Now, it is easy to see that the second factor will be 0 when x = -2.The solution is:x	=	-2 C
Question: A clerk multiplied a number by ten when ten should have divided it. The answer he got was 100.what should the ans have been?
A.3
B.1
C.2
D.4
Answer: B.1
Explanation: let the number be x
actually form = x/10
but x*10=100
=>x=10
means the number the should be divided is 10
=>the answer would have been (10/10)=1
ANSWER:B
Question: The sale price at which a store sells an article is 25% more than its cost price. If the sale price is an integer, which of the following cannot be the cost price?
A.$12
B.$16
C.$31
D.$56
Answer: C.$31
Explanation: Sale Price = (5/4)*(Cost Price)
If the sale price is an integer, then the cost price must be divisible by 4.
The answer is C.
Question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
A.80,47 kmph
B.80,80 kmph
C.80,42 kmph
D.80,40 kmph
Answer: D.80,40 kmph
Explanation: Speed downstream = 60 + 20 = 80 kmph
Speed upstream = 60 - 20 = 40 kmph.Answer:D
Question: If 24 men can do a piece of work in 25 hours, in how many hours will 15 men
do it ?
A.40 hours
B.45 hours
C.50 hours
D.55 hours
Answer: A.40 hours
Explanation: Let the required number of hours be x. Then,
Less men, More hours	(Indirect Proportion)
15 : 24 : : 25 : x<=>(15 x x) =(24 x 25)<=>(24 x 25)/15 = 40
Hence, 15 men can do it in 60 hours
Answer is A.
Question: There are two sets A and B. The range of set A is 7, and the range of set B is 13. If the two sets are combined and get a new set R, which cannot be the range of the set R?
A.8
B.B.11
C.C.14
D.D.17
Answer: B.B.11
Explanation: Let Set A has 1,8 as elements
B has 1,14 as elements.. So Range for Combined set R becomes 14-1=13
For range to be 14,
A = 1,8
B= 2,15 (Range=14)
For range to be 17
A=1,8
B= 5,18
For range to be 21:
A=1,8
B= 9 ,22
So we are left with A and B.
Now consider A has elements A= -1,-8 and Thus Range =-1-(-8) =7
So for Range of combined set to be 11, B needs to have largest elementxso that x- (-8)=11 or x=3...But if x=3, the largest element in Combined Set then smallest element in the combined set will be 3-y=13 or y=-10....And the range of combined set 3-(-10)=13...
Consider Option A
A=-1,-8
B= y,x where y and x are smallest and largest element in Set B
Elements of Combined Set: -8,-1,y and x
Now x-(-8)=8 or x=0, then x-y=13 or y=-13...
Range of Combined Set: 0-(-13)= 13...
I don't see how range can be 8 or 11...Can you please post the source and explanation for the OA in spoiler...=B
Question: If the radius of the sphere is 14 m. then its total surface area is
A.2644
B.2446
C.2464
D.6442
Answer: C.2464
Explanation: Sphere Total surface area
= 4πr(power2) = 4 × 22/7 × 14 × 14 = 2464
Answer is C.
Question: The average age of a class of 22 students is 21 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?
A.40
B.41
C.44
D.42
Answer: C.44
Explanation: Total age of all students =22×21
Total age of all students + Age of the teacher =23×22
Age of the teacher
=23×22−22×21=22(23−21)=22×2=44
Answer is C.
Question: Find the value of
((0.1)3 + (0.6)3 + (0.7)3 − (0.3)(0.6)(0.7))/((0.1)2 + (0.6)2 + (0.7)2 − 0.006 − 0.42 − 0.07)
A.14/10
B.14/23
C.15/31
D.13/15
Answer: A.14/10
Explanation: ((0.1)3 + (0.6)3 + (0.7)3 − (0.3)(0.6)(0.7))/((0.1)2 + (0.6)2 + (0.7)2 − 0.006 − 0.42 − 0.07)
=> (0.1 + 0.6 + 0.7)3/(0.1 + 0.6 + 0.7)2
=> 0.1 + 0.6 + 0.7 => 1.4 = 14/10
A)
Question: In a clothing store, there are six different colored neckties (red, orange, yellow, green, blue, and indigo) and three different colored shirts (red, orange, yellow, green, blue, and indigo) that must be packed into boxes for gifts. If each box can only fit one necktie and one shirt, what is the probability that all of the boxes will contain a necktie and a shirt of the same color?
A.719/720
B.1/120
C.2/233
D.1/6
Answer: D.1/6
Explanation: 6 ties and 6 shirts...
red tie can take any of 6 shirts..
orange can take any of the remaining 5 shirts
yellow any of remaining 4..
and so on till last indigo chooses the 1 remaining..
Total ways= 3*2*1= 6
out of this 6, ONLY 1 way will have same colour tie and shirt..
prob = 1/6
D
Question: The circulation for magazine Z in 1971 was 6 times the average (arithmetic mean) yearly circulation for magazine Z for the years 1972-1980. What is the ratio of the circulation in 1971 to the total circulation during 1971-1980 for magazine Z ?
A.4/7
B.5/7
C.3/7
D.2/7
Answer: C.3/7
Explanation: There are 9 years from 1972-1980, inclusive. Let's say the average circulation every year between 1972-1980 inclusive is x.
So the total circulation is 9x from 1972-1980, inclusive.
In 1971, the circulation is 6x.
So total circulation for 1971-1980 is 6x + 9x = 15x.
Ratio of circulation in 1971 to total circulation during 1971-1980 is 6x to 14x or 6/14=3/7
Answer : C
Question: Evaluate : 37 x 181+ 37 x 319
A.22500
B.15500
C.18500
D.25000
Answer: C.18500
Explanation: 37 x 181 + 37 x 319 = 37 x (181 + 319) = 37 x 500 = 18500.
Answer is C.
Question: A bike covers a certain distance at the speed of 64km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel?
A.80.34 km/h
B.85.34 km/h
C.90.30 km/h
D.92.25 km/h
Answer: B.85.34 km/h
Explanation: Ans.(B)
Sol. Total distance = 64 × 8 = 512 km
Now speed = 512/6 = 85.34 km/h
Question: A man can row his boat with the stream at 18 km/h and against the stream in 4 km/h. The man's rate is?
A.1 kmph
B.3 kmph
C.8 kmph
D.7 kmph
Answer: D.7 kmph
Explanation: DS = 18
US = 4
S = ?
S = (18 - 4)/2 = 7 kmph
Answer: D
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
A.288
B.277
C.200
D.150
Answer: D.150
Explanation: Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y = x/15
x + 100 / 25 = x / 15
x = 150 m.
Answer:D
Question: A number is greater than 3 but less than 8. Also the number is greater than 6 but less than 10. What is the number?
A.5
B.7
C.6
D.8
Answer: B.7
Explanation: B 7
Question: Albert invested amount of 8000 in a fixed deposit for 2 years at compound interest rate of 5 % per
annum. How much Albert will get on the maturity of the fixed deposit
A.Rs. 8510
B.Rs. 8620
C.Rs. 8730
D.Rs. 8820
Answer: D.Rs. 8820
Explanation: Explanation:
=>(8000×(1+5100)2)=>8000×2120×2120=>8820
Answer:D
Question: V is the volume of a cylinder; the radius of the cylinder is 3.4. The height of the cylinder is 550% more than the radius. Which of the following is true?
A.100 < V < 300
B.300 < V < 500
C.500 < V < 700
D.700 < V < 900
Answer: D.700 < V < 900
Explanation: Volume of a cylinder is pi*(r^2)*h
h>5.5r+r ---> h>6.5*3.4
So, volume is > 3.14*3.4*3.4*6.5*3.4=800 (approx)
Hence, answer will be D.
Question: 7+2=56
6+3=48
5+5=45
2+1=4
4+9=??
Solve it?
A.92
B.48
C.42
D.38
Answer: B.48
Explanation: x+y=x[y+(x-1)]=x^2+xy-x
7+2=7[2+(7-1)]=49+14-7=56
6+3=6[3+(6-1)]=36+18-6=48
5+5=5[5+(5-1)]=25+25-5=45
2+1=2[1+(2-1)]=4+2-2=4
4+9=4[9+(4-1)]=16+36-4=48
Answer :B
Question: George baked a total of 175 pizzas for 7 straight days, beginning on Saturday. He baked 3/5 of the pizzas the first day, and 3/5 of the remaining pizzas the second day. If each successive day he baked fewer pizzas than the previous day, what is the maximum number of pizzas he could have baked on Wednesday?
A.2
B.3
C.4
D.6
Answer: D.6
Explanation: 3/5 of the 175 pizzas cooked on Saturday = 105 pizzas
3/5 of the remaining pizzas on Sunday = 42 pizzas
We're left with (175-105-42) =28 pizzas for the remaining 5 days. The prompt tells us that each day has FEWER pizzas than the day before it, so we can't have duplicate numbers.
M T W TH F
8 7 6 4 3=28
W=6
D
Question: A can do a piece of work in 40 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
A.24
B.77
C.66
D.89
Answer: A.24
Explanation: 10/40 + 10/30 + 10/x = 1
x = 24 days
Answer:A
Question: Find the least number of complete years in which a sum of money put out at 25% compound interest will be more than double of itself?
A.8 years
B.9 years
C.6 years
D.4 years
Answer: D.4 years
Explanation: 4 years
Answer:D