RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a trolley that is running with a speed of 12 km/hr in the direction opposite to that in which the train is going?
A.4.31
B.6.75
C.7.92
D.5.5
Answer: D.5.5
Explanation: Speed of train relative to trolley = 60 + 12 = 72 km/hr.
= 72 * 5/18 = 20 m/sec.
Time taken to pass the trolley = 110 * 1/20
= 5.5 sec.
Answer: D
Question: What is the least number which when divided by 12,21,35 will leave in each case the same reminder 6?
A.210
B.420
C.414
D.426
Answer: D.426
Explanation: Here least number means LCM
Hence LCM of 12,35,21 = 2^2 x 7 x 3 x 5
= 420
Therefore required number is 420 + 6 = 426
Ans - D
Question: (x + 3) is a factor in x^2 - mx - 15. What is the value of m?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: I solved the second degree equation and found it like this:
x^2 - mx - 15 = 0
(x-5)(x+3) = 0
x=5 or x= -3
Substituting both values for x in the equation we find:
x^2 - mx -15
=> (-3)^2 - m(-3) = 15
=> 9+ 3m= 15
=> 3m = 15-9=6
=> m = 2
And with 5, using a similar process we end up with:
(5)^2 - m(5) =15
-5m = 15-25= -10
m=2
Ao,ANS B
Question: If each digit in the set of A = (2,3,4,5) is exactly used once, in how many ways can the digits be arranged such that the 3 and 4 are not adjacent?
A.12
B.15
C.18
D.22
Answer: A.12
Explanation: The answer should be = total arrangements - arrangements when 2 and 5 are together.
= 4! - 3! * 2! = 24 -12 = 12
take 2,5,(3,4) here there are 3 entities whose number of arrangements are 3! and 2! is the arrangement between 3 and 4
Answer is A
Question: Mary’s annual income is $15,000 and John’s annual income is $18,000. By how much must Mary’s annual income increase so that it constitutes 60% of Mary and John’s combined income?
A. $3,000
B. $4,000
C. $7,000
D. $12,000
Answer: D. $12,000
Explanation: Let Mary's income increase by x, then the equation will be
15,000 + x= (60/100)* (15,000 + x + 18000 )
15,000 + x = (3/5) * (33,000 + x)
75,000 + 5x = 3x + 99,000
2x = 24,000
x = 12,000
So, Answer will be D
Question: The manager at a health foods store mixes a unique superfruit juice cocktail that costs $1399.45 per litre to make. The cocktail includes mixed fruit juice and açai berry juice, which cost $262.85 per litre and $3104.35 per litre, respectively. The manager has already opened 36 litres of the mixed fruit juice. How many litres of the açai berry juice does he need to add?
A.17 litres
B.24 litres
C.11 litres
D.07 litres
Answer: B.24 litres
Explanation: 262.85(36)+3,104.35x = 1,399.45(36 + x)
Solve the equation.
262.85(36)+3,104.35x = 1,399.45(36 + x)
9,462.6 + 3,104.35x = 50,380.2+ 1,399.45x
9,462.6 + 1,704.9x = 50,380.2
1,704.9x = 40,917.6
x = 24
Answer is B.
Question: The diagonals of two squares are in the ratio of 2 : 5. Find the ratio of their areas.
A.5:20
B.5:25
C.4:25
D.3:15
Answer: C.4:25
Explanation: Let the diagonals of the squares be 2x and 5x respectively.
Ratio of their areas = (1/2)*(2x) 2:(1/2)*(5x) 2= 4x2: 25x2= 4 : 25.
Option C
Question: A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 200 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
A.2989
B.2765
C.6110
D.2989
Answer: C.6110
Explanation: Total production of salt by the company in that year
= 5000 + 5200 + 5400 + .... + 7200 = 73400.
Average monthly production of salt for that year
= 73400/12
= 6116.
Answer:C
Question: The labeled price of a table is Rs. 7,500. The shopkeeper sold it by giving 5% discount on the labeled price and earned a profit of 15%. What approximately is the cost price of the table?
A.Rs. 5758
B.Rs. 6195
C.Rs. 6425
D.Rs. 7200
Answer: B.Rs. 6195
Explanation: Explanation:
Labeled price = Rs. 7,500
By giving 5% discount on labeled price, the selling price is
= 95 / 100 * 7500 = Rs. 7125
By earning 15% profit on the selling of price Rs. 7125 the cost price is
= 100 / 115 * 7125 = Rs. 6195.65
Therefore, approximate cost is 6195.65 (ANSWER ROUNDED OFF: Rs.6195)
ANSWER IS B
Question: A bag contains 6black pens and 8 white pens. One ball is drawn at random. What is the probability that the ball drawn is white?
A.4/7
B.2/3
C.5/8
D.1/4
Answer: A.4/7
Explanation: total number of pens = 14
number of white pens = 8
drawing a white pens= 8/14 = 4/7
Answer is A
Question: In covering a distance of 30 km, Arun takes 2 hours more than Anil. If Arun doubles his speed, then he would take 1 hour less than Anil. What is Arun's speed?
A.2
B.5
C.6
D.7
Answer: B.5
Explanation: Let the speed of Arun = x kmph
and the speed of Anil = y kmph
distance = 30 km
We know that distancespeed=timeHence30x−30y=2...........(Equation1)30y−302x=1...........(Equation2)Equation1 + Equation2⇒30x−302x=3⇒302x=3⇒15x=3⇒5x=1⇒x=5Hence Arun's speed = 5 kmph
Answer : B
Question: A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 8.30 a.m. ?
A.7
B.2
C.9
D.2
Answer: B.2
Explanation: B
2
Relative speed = 2 + 3 = 5 rounds per hour.
So, they cross each other 5 times in an hour and 2 times in half an hour.
Hence, they cross each other 2 times before 8.30 a.m.
Question: Working alone, pump A can empty a pool in 6 hours. Working alone, pump B can empty the same pool in 9 hours. Working together, how many minutes will it take pump A and pump B to empty the pool?
A.192
B.200
C.208
D.216
Answer: D.216
Explanation: Pump A can empty (1/6) of the pool per hour.
Pump B can empty (1/9) of the pool per hour.
Together the pumps can empty 1/6+1/9=5/18 of the pool per hour.
1 pool / (5/18) pool per hour = 18/5 hours = 216 minutes.
The answer is D.
Question: How many ways can the letters of the word, ‘MACHINE’ be arranged so that the vowels may occupy only the odd positions?
A.210
B.576
C.144
D.456
Answer: B.576
Explanation: In the word ‘MACHINE’ 3 vowels and 4 consonants.
v v v v
__ _ __ _ __ _ __
Now, 3 vowels can be placed at any of 3 places, out of which 4 marked 1,3,5,7.
Number of ways arranging the vowels= 4P3 = (4*3*2) =24
Also, 4 consonants at the remaining 4 positions may be arranged in = 4P4 = 4!= 24 ways.
Therefore, Required number of ways= (24*24) =576.
ANSWER:B
Question: What is the square root of 5,625?
A.A)18
B.B)75
C.C)45
D.D)62
Answer: B.B)75
Explanation: A square root of a number is a number times itself equals the original number.
Ex) The square root of 81 is 9 because 9 times itself(9) equals the original number(81).
75*75=5,625
5625 divided by x = 75
x=75
(B)75
Question: In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
A.40
B.44
C.48
D.47
Answer: B.44
Explanation: Let the capacity of the can be T litres.
Quantity of milk in the mixture before adding milk = 4/9 (T - 8)
After adding milk, quantity of milk in the mixture = 6/11 T.
6T/11 - 8 = 4/9(T - 8)
10T = 792 - 352 => T = 44.
ANSWER B
Question: The H.C.F. of two numbers is 40 and the other two factors of their L.C.M. are 11 and 15. The larger of the two numbers is:
A.276
B.600
C.699
D.722
Answer: B.600
Explanation: the numbers are (40 x 11) and (40 x 15).
Larger number = (40 x 15) = 600.
ANSWER :B
Question: A bus trip of 450 miles would have taken 1 hour less if the average speed S for the trip had been greater by 5 miles per hour. What was the average speed S, in miles per hour, for the trip?
A.10
B.40
C.45
D.50
Answer: C.45
Explanation: (S+5)(T-1) = 450
S*T = 450
Solving both the equations, we get: S = 45 or -50
Since Speed should be positive, S = 45
Hence, option C
Question: If k is an integer and 0.00010101 x 10^k is greater than 1000, what is the least possible value of k?
A.6
B.7
C.8
D.9
Answer: B.7
Explanation: 0.00010101 * 10^k > 1000
We need to move the decimal point to the right 7 places to get 1010.1
This is equivalent to multiplying by 10^7.
The answer is B.
Question: If 7/w + 7/x = 7/y and wx = y, then the average (arithmetic mean) of w and x is
A.1/2
B.1
C.2
D.4
Answer: A.1/2
Explanation: Given: 7/w + 7/x = 7/ywx=y
Find: (w+x)/2 = ?
7(1/w + 1/x) = 7(1/y) - divide both sides by 7
(1/w + 1/x) = 1/y
(x+w)/wx = 1/wx - sub'd in y=wx
x+w - 1 = 0
x+w = 1
Therefore (w+x)/2 = 1/2
Ans: A
Question: #88
A necklace is made by stringing N individual beads together in the repeating pattern red bead, ORANGE bead, white bead, blue bead, and yellow bead. If the necklace design begins with a red bead and ends with a white bead, then N could equal
A.16
B.32
C.41
D.48
Answer: D.48
Explanation: You can just write out the pattern and count: RGWBYRGWBYRGWBY... But to save time a good test taker will just look for a pattern. Min # is 3, because W is the third one. Then every 5 beads another white comes, so it must be 3+5+5+5.. and so on...
3+5 = 8
3+5+5 = 13
3+5+5+5=18
3+5+5+5+5=23
So you see it ends in either 8 or 3. Pick an answer that ends in either 8 or 3. Only one answer does, D.
Question: There are between 120 and 130 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?
A.121
B.123
C.125
D.127
Answer: C.125
Explanation: The numbers with the form 4n+1 are 121, 125, and 129.
Only 125 has the form 3k+2.
The answer is C.
Question: An automobile manufacturer offers a station wagon with either a 16-cylinder engine or a 14-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 16-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?
A. 192
B. 128
C. 64
D. 56
Answer: A. 192
Explanation: 16-cylinder engine wagons = 2*2*2*2*2*2*2 = 128 (manual or automatic, with or without trailer);
14-cylinder engine wagons = 2*2*2*2*2*2 = 64 (manual or automatic).
Total = 128 + 64 = 192.
Answer: A.
Question: In an IT company, there are a total of 90 employees including 50 programmers. The number of male employees is 80, including 35 male programmers. How many employees must be selected to guaranty that we have 3 programmers of the same sex?
A.10
B.45
C.55
D.35
Answer: B.45
Explanation: You could pick 40 non-programmers, 2 male programmers, and 2 female programmers, and still not have 3 programmers of the same sex. But if you pick one more person, you must either pick a male or a female programmer, so the answer is 45.
B
Question: If x is an integer, and 144 < x^2 <= 361, which of the following is the sum of all possible values of x?
A. 135
B. 124
C. 116
D.None of the above
Answer: D.None of the above
Explanation: The range of x is from 13 .. to 19 and -13 to -19 so the sum is 0 hence ans D, I guess, unless I am missing something!
Question: The number of singles that a baseball player hit increased 15 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 5 percent. If the total number of singles and doubles that she hit increased 4 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season?
A.3:5
B.5:7
C.7:11
D.9:11
Answer: D.9:11
Explanation: Soln:-
1.15S + 0.95D = 1.04[S + d]
0.11S = 0.09D
S/D = 9/11
ANSWER:D
Question: How many ways are there to split a group of 4 boys into two groups of 2 boys each? (The order of the groups does not matter)
A.5
B.6
C.7
D.3
Answer: D.3
Explanation: the combination is 4C2 /2
= 4!/2!*2! *2 = 3
D
Question: Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
A.Rs.547
B.Rs.519
C.Rs.520
D.Rs.540
Answer: D.Rs.540
Explanation: A+B+C = 1170
4A = 3B = 2C = x
A:B:C = 1/4:1/3:1/2 = 3:4:6
6/13 * 1170 = Rs.540
Answer:D
Question: In a 1400 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ?
A.100 sec.
B.70 sec
C.25 sec
D.Data not sufficient
Answer: B.70 sec
Explanation: Speed of Shiny = 50/ 10 = 5m/s
Time taken by shiny to complete the race is B = 1400/5 = 280 sec.
Time taken by Baley to complete the race is D = 1400/4 = 350 sec.
Hence, D-B = 70 sec
ANSWER:B
Question: A room contains 140 people, 15 percent of whom are women. A group of people, 30 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?
A.10
B.35
C.40
D.60
Answer: B.35
Explanation: Say group of x people left the room.
# of women in the room was 0.15*140=21;
# of women in the group that left 0.3x;
# of women in the room after the group left it is 0.1(140-x);
So, 21-0.3x= 0.1(140-x) --> x=35.
Answer: B.
Question: Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 5 percent during the second year, and decreased by 5 percent during the third year. What is the value of the account today?
A.$10,350
B.$10,972.50
C.$10,500
D.$11,500
Answer: B.$10,972.50
Explanation: Value after 1 year: 10,000 * 1.1 = 11,000
Value after 2 years: 11,000 * 1.05 = 11,550
Value today: 11,550 * 0.95 = 10,395
Answer B is correct.
Question: What is the greatest possible length which can be used to measure exactly the lengths 8 m, 4 m 20 cm and 12 m 20 cm?
A.10 cm
B.30 cm
C.25 cm
D.20 cm
Answer: D.20 cm
Explanation: Required length
= HCF of 800 cm, 420 cm, 1220 cm
= 20 cm
Answer: Option D
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is
A.17/25
B.17/24
C.17/23
D.17/20
Answer: D.17/20
Explanation: n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = 8 = n(P)
P(EᴜP) = 10/20 + 8/20 - 1/20 = 17/20
Answer: D
Question: Aishwarya’s mom was 42 years of age at the time of her birth, while her mom was 32 years old when her 4 years younger sister was born. The variance between the parents ages is :
A.6 years
B.14 years
C.10years
D.9 years
Answer: B.14 years
Explanation: B
14 years
Mom’s age when Aishwarya’s sister was born = 32 years.
Dad’s age when Aishwarya’s sister was born = (42 + 4) years = 46 years.
Needed Variance = (46 – 32) years = 14 years.
Answer is B
Question: If x = a!, which of these following values of a is the least possible value (in this list) for which the last 7 digits of the integer x will all be zero?
A.28
B.32
C.36
D.40
Answer: B.32
Explanation: 2*5 will give one 0 at the end. We need 2^7*5^7 to get 7 zeroes at the end.
There are many 2's, so we need to find the first 7 appearances of 5.
These multiples of 5 are: 5, 10, 15, 20, 5*5, 30...which gives us 7.
To have at least 7 zeroes at the end, a => 30.
The answer is B.
Question: By selling 80 bananas, a fruit-seller gains the selling price of 10 bananas. Find the gain percent?
A.25.32%
B.17.46%
C.15.55%
D.14.28%
Answer: D.14.28%
Explanation: SP = CP + g
80 SP = 80 CP + 10 SP
70 SP = 80 CP
70 --- 10 CP
100 --- ? => 14.28%
Answer: D
Question: In a simultaneous throw of two dice , what is the probability of getting to total of 10 or 11?
A.5/4
B.9/8
C.4/11
D.5/36
Answer: D.5/36
Explanation: n(S)36
n(E)=5
P(E)=5/36
Ans: D
Question: On a certain date, Pat invested $9,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 10 years will be $36,000, in how many years total will the total value of the investment plus interest increase to $72,000?
A.15
B.16
C.18
D.20
Answer: A.15
Explanation: 36,000 = 9,000(1 + x)^10
4 = (1+x)^10 = 2^2
(1+x)^10 = ((1+x)^5)^2 = 2^2
Therefore, (1+x)^5 = 2
72,000 = 9,000(1 + x)^n
8 = (1+x)^n
2^3 = (1+x)^n
(1+x)^n = ((1+x)^5)^3 = (1+x)^15
Therefore, n = 15.
The answer is A.
Question: A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability W that the sum of the three numbers on the balls selected from the box will be odd?
A.1/4
B.3/8
C.1/2
D.5/8
Answer: C.1/2
Explanation: The sum of the three numbers on the balls selected from the box to be odd one should select either three odd numbered balls (Odd+Odd+Odd=Odd) or two even numbered balls and one odd numbered ball (Even+Even+Odd=Odd);
P(OOO)=(1/2)^3;
P(EEO)=3*(1/2)^2*1/2=3/8 (you should multiply by 3 as the scenario of two even numbered balls and one odd numbered ball can occur in 3 different ways: EEO, EOE, or OEE);
So finally W=1/8+3/8=1/2.
Answer: C.
Question: Find the odd man out
2, 3, 12, 37, 86, 166, 288
A.2
B.3
C.86
D.116
Answer: D.116
Explanation: 2+(1)^2=3
3+(3)^2=12
12+(5)^2=37
37+(7)^2=86
86+(9)^2=167
167+(11)^2=288
ANSWER:D
Question: A worker earns $24 on the first day and spends $18 on the second day. The worker earns $24 on the third day and spends $18 on the fourth day. If this pattern continues, on which day will the worker first reach a net total of $48?
A.6
B.7
C.9
D.12
Answer: C.9
Explanation: Every two days, the net total is $6.
After 8 days, the worker will have $24.
On day 9, the worker will receive $24 for a net total of $48.
The answer is C.
Question: Two trains leave the same train station at 6:00 am and 6:45 am and they travel at 100 kph and 120 kph respectively. How many kilometers from the train station will the two trains be together?
A.420
B.450
C.480
D.510
Answer: B.450
Explanation: At 6:45, the first train is 75 km ahead.
The second train gains 20 km each hour.
The time it takes the second train to catch the first train is 75 /20 = 3.75 hours.
In this time, the second train travels 3.75*120=450 km.
The answer is B.
Question: A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is
A.1:3
B.4:3
C.2:3
D.2:1
Answer: B.4:3
Explanation: Explanation :
Work done by 20 women in 1 day = 1/16
Work done by 1 woman in 1 day = 1/(16×20)
Work done by 16 men in 1 day = 1/15
Work done by 1 man in 1 day = 1/(15×16)
Ratio of the capacity of a man and woman =1/(15×16) : 1/(16×20) = 1/15 : 1/20
= 1/3 :1/4 = 4:3
Answer : Option B
Question: The owner of a cell phone shop charges his customer 23% more than the cost price. If a customer paid Rs.6,040 for a cell phone, then what was the cost price of the cell phone?
A.Rs.5,845
B.Rs.6,750
C.Rs.5,700
D.Rs.4,910
Answer: D.Rs.4,910
Explanation: Explanation:
123% of CP =SP
Therefore, CP = Rs.6,040x100/123 = Rs.4910
Answer: Option D
Question: A bag contains 50p, 25p and 10p coins in the ratio 3 : 7 : 4, amounting to Rs. 109.50. Find the number of coins of each type.
A.80,250,140
B.75,220,135
C.90,210,120
D.80,210,120
Answer: C.90,210,120
Explanation: Solution:
Let the number of 50p, 25p and 10p coins be 3x,7x and 4x respectively.
Then, 3x/2 + 7x/4 + 4x/10 = Rs. 109.50.
=> (30x + 35x + 8x)/20 = 109.50. => 73x = 109.5 * 20 => 73x =2190.
=> x =2190/73 = 30.
.'. number of 50p coins = 3*30 =90; number of 25p coins = 7*30 =210;
number of 10p coins = 4*30 =120.
ANSWER IS C
Question: 30 square stone slabs of equal size were needed to cover a floor area of 58.8 sq.m. Find the length of each stone slab?
A.140cm
B.767cm
C.88cm
D.666cm
Answer: A.140cm
Explanation: Area of each slab
=58.8/30m2=1.96m2
Length of each slab √1.96=1.4m=140cm
Question: A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
A.6 min
B.8 min
C.7 min
D.9 min
Answer: A.6 min
Explanation: Clearly, pipe B is faster than pipe A and so, the tank will be emptied.
Part to be emptied = 2/5
Part emptied by (A + B) in 1 minute = (1/6 - 1/10) = 1/15
1/15 : 2/5 :: 1 : x
x = (2/5 * 1 * 15) = 6 min.
So, the tank will be emptied in 6 min.
Answer: A
Question: A certain stock exchange designates each stock with a two-letter or three-letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes without using the vowels A, E, I, O, or U?
A.9372
B.9482
C.9592
D.9702
Answer: D.9702
Explanation: The number of two-letter codes is 21*21=441.
The number of three-letter codes is 21*21*21=9261.
The total number of codes is 441+9261=9702.
The answer is D.
Question: What is the least number of square tiles required to pave the floor of a room 10 m 17 cm long and 9m 9 cm broad?
A.724
B.804
C.11413
D.844
Answer: C.11413
Explanation: Solution
Length of largest tile = H.C.F. of 1017cm & 909cm = 9cm.
Area of each tile = (9 x 9)cm2
∴ Required number of tiles	= [1017x909/9x9]
= 11413.
Answer C
Question: The average (arithmetic mean) of four numbers is 4x + 2. If one of the numbers is x, what is the average of the other three numbers?
A.x + 1
B.3x + 3
C.5x + 1
D.5x + 8/3
Answer: D.5x + 8/3
Explanation: If the average of four numbers is 4x + 3, then the sum of all four numbers if 4 * (4x + 2) = 16x + 8. If one of the numbers is x, then the average of the remaining three numbers would be: (16x + 8 - x)/3 = (15x + 8)/3 = 5x + 8/3.
Answer is D.
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
A.33/01
B.33/91
C.33/90
D.33/99
Answer: B.33/91
Explanation: Explanation:
Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is = ¹²C₄/¹⁵C₄ = (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12) = 33/91
Answer: Option B
Question: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent of solution B. If 600 grams of solution A are mixed with 700 grams of solution B, then liquid X accounts for what percent of the weight of the resulting solution?
A.1.74%
B.1.94%
C.10%
D.15%
Answer: A.1.74%
Explanation: I think there is a typo in question.
It should have been "By weight Liquid 'X ' makes up..... "
Weight of Liquid X = 0.8 % of Weight of A + 1.8% of Weight of B
When 600gms of A and 700gms of B is mixed :
Weight of Liquid X = (0.8 * 600)/100 + (1.8* 700)/100 = 17.4gms
% of Liquid X in resultant mixture = (17.4/1000) *100 = 1.74%
A
Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 8 students is 14 years and that of the other 6 students is 16 years, The age of the 15th student is
A.17
B.12
C.13
D.14
Answer: A.17
Explanation: Explanation:
Age of the 15th student = [15 * 15 - (14 * 8 + 16 * 6)] = 17 years. Answer: A
Question: Working together at their respective constant rates, Machine A and Machine B can produce 1,600 units in 8 hours. Working alone, Machine B would complete that same output in 50% more time. If Machine A were to work on its own for an 8-hour shift, what percent of the 1,600 unit total would it produce?
A.25
B.33
C.50
D.67
Answer: B.33
Explanation: 1/A+1/B= 1/T
1/A +1/12= 1/8 (50% more of 8 is 12)
1/A= 1/24
Machine A can produce 1600 units in 24 hrs, so it can produce 1600*8/24= 533.33 units is 8 hrs.
533.33 is 33.33% of 1600.
B is the answer
Question: Three bells chime at intervals of 18 min., 24 min. and 32 min. respectively. At a certain time they begin together. What length D of time will elapse before they chime together again?
A.2 hr. and 24 min.
B.4 hr. and 48 min.
C.1 hr. and 36 min.
D.5 hr.
Answer: B.4 hr. and 48 min.
Explanation: It should be simple. All the three bells will chime again together whenver their time intervals intersect eachother.
So the LCM of the three time intervals (18, 24,32) would be the answer.
LCM (18, 24, 32) D= 288 => 4 hours 48 mins.B
Question: A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
A.Rs.18
B.Rs.47
C.Rs.44
D.Rs.28
Answer: C.Rs.44
Explanation: π (152 - 132) = 176
176 * 1/4 = Rs.44
Answer: C