RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A man in train notice that he can count 51 telephone posts in 1 minute. If they are known to be 60 meters apart,then at what speed is the train traveling?
A.100km/hr
B.110km/hr
C.50km/hr
D.180km/hr
Answer: D.180km/hr
Explanation: Number of gaps between 51 telephone posts = 50
Distance traveled in 1 minute = 50*60 = 3000m = 3km
Speed = 60*3=180km/hr
Answer is D
Question: A train 200 m long running at 80 kmph crosses a platform in 22 sec. What is the length of the platform?
A.338
B.277
C.350
D.288
Answer: D.288
Explanation: D = 80 * 5/18 = 22 = 488 – 200 = 288
Answer: D
Question: Present age of a father is 3 years more than three times the age of his son. Three years hence, father's age will be 10 years more than twice the age of the son. What is father's present age?
A.30
B.31
C.33
D.35
Answer: B.31
Explanation: Let the present age the son =x
Then, present age of the father =3x+3
Given that, three years hence, father's age will be 10 years more than twice the age of the son
⇒(3x+3+3)=2(x+3)+10⇒x=10
Father's present age
=3x+3=3×10+3=33
Answer is B.
Question: A man walks at a speed of 2 km/hr and runs at a speed of 6 km/hr. How much time will the man require to cover a distance of 20 1/2 km, if he completes half of the distance, i.e., (10 1/4) km on foot and the other half by running ?
A.41.9 hrs
B.11.9 hrs
C.61.9 hrs
D.17.9 hrs
Answer: B.11.9 hrs
Explanation: Explanation:
We know that
Time = Distance/speed
Required time = (10 1/4)/2 + (10 1/4)/6
= 41/8 + 41/6
= 287/24 = 11.9 hours.
Answer: B
Question: A goods truck travels from a place at a certain time and at fixed speed. After 6hrs another truck leaves the same place and move in same direction of uniform speed of 90kmph. The truck catches up the goods truck in 4hrs. Find the speed of the goods truck ?
A.36 kmph
B.86 kmph
C.66 kmph
D.26 kmph
Answer: A.36 kmph
Explanation: Explanation:
Let the speed of goods truck be 'p' kmph
Distance covered by goods truck in 10hrs (4+6) = Distance covered by other truck in 4 hrs.
10p = 4 x 90
p = 36kmph.
Therefore, the speed of the goods truck is p = 36 kmph.
Answer: A
Question: Tom and Bob have a total of 49 toys. If Bob has 5 more toys than Tom, how many toys does each one have?
A.25
B.26
C.27
D.28
Answer: C.27
Explanation: If 5 toys are taken out of 49 toys and the remaining ones distributed to Tom and Bob, they will both have equal numbers of toys
49 - 5 = 44 for Tom and Bob
If distributed equally, each one will have
44 / 2 = 22 toys
Bob has 5 more toys than Tom, so Bob has
22 + 5 = 27 toys
correct answer C
Question: The average of 45 results is 9. The average of first 22 of them is 15 and that of last 22 is 20. Find the 23 result?
A.515
B.480
C.750
D.650
Answer: A.515
Explanation: 23th result = sum of 45results - sum of 44 results
9*45-15*22+20*22 = 450-330+440 = 515
Answer is A
Question: Among all sales staff at Amtek Corporation, college graduates and those without college degrees are equally represented . Each sales staff member is either a level-1 or level-2 employee. Level-1 college graduates account for 15% of Amtek's sales staff. Amtek employs 80 level-1 employees, 30 of whom are college graduates. How many sales staff members without college degrees are level-2 employees ?
A.46
B.42
C.50
D.32
Answer: C.50
Explanation: I'm going in on this one.
So let's say that we have the following
So we know that L1 = 80 and that C and L1 = 0.15X , we should set up a double set matrix btw but anyways, I'm just explaining the point with this problem. Now we are told that 0.15x = 30, therefore the grand total is 200. Now we know that L2 is 200 - 80 = 120. We also learn that C and No C are equally represented thus 100 each. Therefore No C and No L2 will be 100 - 50 = 50.
Thus C is the correct answer choice
Question: A particular parking garage is increasing its rates by 20 percent per month. Bob decides to reduce the number of days he uses the garage per month so that the amount he spends at the garage per month remains unchanged. Which of the following is closest to Bob’s percentage reduction in the number of days he uses the garage each month?
A.10%
B.12%
C.15%
D.17%
Answer: D.17%
Explanation: Let x be the original number of days that Bob used the garage.
Let P be the original cost per day.
Let N*x be the new number of days that Bob uses the garage.
N*x*1.2P = x*P
N*x = x/1.2 which is about 0.83x, thus a 17% reduction.
The answer is D.
Question: If x and y are positive integers such that (3x+7y) is a multiple of 11, then which of the followings are divisible by 11?
A.9x+4y
B.x+y+4
C.4x-9y
D.4x+6y
Answer: C.4x-9y
Explanation: By hit and trial method, we get
x=5 and y=1 such that
3x+7y=15+7=22 is a multiple of 11.
(4x+6y)=(4×5+6×1)=26
=> not divisible by 11
(x+y+4)=(5+1+4)=10
=> not divisible by 11
(9x+4y)=(9×5+4×1)=49
=> not divisible by 11
(4x−9y)=(4×5−9×1)=20−9=11
=> divisible by 11
Answer : C
Question: A store reported total sales of $460 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase in sales?
A.2%
B.17%
C.44%
D.65%
Answer: C.44%
Explanation: New Value – Old Value)/Old Value x 100
We are given:
February sales this year = 460 million
February sales last year = 320 million
We need to determine the percent increase between sales from last year to sales this year.
Thus, the new value = 460 million and the old value = 320 million. Let’s plug them into our percent change formula.
(New Value – Old Value)/Old Value x 100
[(460 – 320)/320] x 100
≈ 44%.
The answer is C.
Question: What is the smallest number which when diminished by 18, is divisible 8, 14, 26 and 28?
A.746
B.750
C.789
D.678
Answer: A.746
Explanation: Required Number
= (LCM of 8, 14, 26 and 28) + 18
= 728 + 18 = 746
Option A
Question: A company recently conducted a survey and found that 35,000 of its customers live in rural areas. If the number of customers who live in urban areas is 140 percent greater than the number of customers who live in rural areas, how many customers live in urban areas?
A.78,000
B.80,000
C.82,000
D.84,000
Answer: D.84,000
Explanation: The number of customers in urban areas is 35,000+1.4*35,000=84,000.
The answer is D.
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?
A.40
B.56
C.39
D.42
Answer: C.39
Explanation: Let the average after 7th inning = x Then average after 16th inning = x - 3 therefore 16(x-3)+87 = 17x therefore x = 87 - 48 = 39 Answer : C
Question: A grand father has 3 grand children. Age difference of two children among them is 3. Eldest child age is 3 times the youngest child’s age and the eldest child age is two year more than the sum of age of other two children. What is the age of the eldest child?
A.22
B.15
C.28
D.26
Answer: B.15
Explanation: As the eldest son's age is 3 times that of the youngest, eldest son's age should be a multiple of 3. From the given options take 15 as the eldest son's age. Then youngest son's age becomes 5. But Eldest sons age is 2 more than the sum of the remaining two sons. So Sum of the remaining two sons is 13. So the age of the middle son is 13 - 5 = 8. Which satisfies another condition in the question that the difference between the two sons age is 3. So answer is 15.
Answer:B
Question: A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 from part B, in how many ways can he choose the questions?
A.11340
B.12750
C.40
D.320
Answer: A.11340
Explanation: Solution: There 10 questions in part A out of which 8 question can be chosen as = 10C8.
Similarly, 5 questions can be chosen from 10 questions of Part B as = 10C5.
Hence, total number of ways,
=10C8*10C5
=[10!/(2!8!)]*[10!/(5!*5)]
= {10*9/2}*{10*9*8*7*6/(5*4*3*2*1)}
= 1140.
Answer: Option A
Question: Find the odd man out. 18, 3, 12, 24, 14, 34, 46
A.3
B.6
C.24
D.46
Answer: A.3
Explanation: Explanation :
3 is the only odd number in the given series
Answer : Option A
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.5/8
B.5/9
C.5/2
D.5/1
Answer: B.5/9
Explanation: Two balls can be picked from nine balls in ⁹C₂ ways.
We select one white ball and one red ball from five white balls and four red balls. This can be done ⁵C₁ . ⁴C₁ ways.
The required probability = (5 * 4)/⁹C₂
= 20/36
= 5/9
Answer: B
Question: A bag contains 3 blue and 5 white marbles. One by one, marbles are drawn out randomly until only two are left in the bag. What is the probability Z that out of the two, one is white and one is blue?
A.15/56
B.41/56
C.13/28
D.15/28
Answer: D.15/28
Explanation: The required probability Z= probability of choosing 6 balls out of the total 8 in such a way that we remove 4 out of 5 white and 2 out of 3 blue balls.
Ways to select 6 out of total 8 = 8C6
Ways to select 4 out of 5 white balls = 5C4
Ways to select 2 out of 3 blue balls = 3C2
Thus the required probability = (5C4*3C2)/8C6 = 15/28.
D is thus the correct answer.
Question: A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
A.9
B.8
C.6
D.1
Answer: B.8
Explanation: 30 --- 3 DS = 10
? ---- 1
18 ---- 3 US = 6
? ---- 1 M = ?
M = (10 + 6)/2 = 8
Answer: B
Question: What profit percent is made by selling an article at a certain price, if by selling at 1/2rd of that price, there would be a loss of 20%?
A.20%
B.29%
C.60%
D.27%
Answer: C.60%
Explanation: SP2 = 1/2 SP1
CP = 100
SP2 = 80
1/2 SP1 = 80
SP1 = 160
100 --- 160 => 60%
Answer: C
Question: Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
A.20 min
B.22 min
C.15 min
D.18 min
Answer: A.20 min
Explanation: A
20 min
Speed Ratio = 1:4/5 = 5:4Time Ratio = 4:51 -------- 5 4 --------- ? 20 min
Question: In a two digit number, the digit in the units place is two times the digit in ten's place and sum of the digits is equal to 6. What is the number?
A.24
B.28
C.32
D.36
Answer: A.24
Explanation: Solution
Let the ten digits be x. Then,units digit=2x
Therefore x + 2x = 6
‹=›3x = 6
‹=›x= 2.
So, ten's digit = 2, unit's digit = 4.
Hence, the required number is 24.
Answer A
Question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
A.22 1/7 %
B.22 8/2 %
C.22 1/9 %
D.22 1/2 %
Answer: D.22 1/2 %
Explanation: 9 = (1*40*R)/100
R = 22 1/2 %
Answer: D
Question: Two trains 141 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
A.7.19
B.7.59
C.7.16
D.7.15
Answer: B.7.59
Explanation: T = (141 + 165)/ (80 + 65) * 18/5
T = 7.59
Answer: B
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 860 in 4 years. The sum is:
A.s. 650
B.s. 690
C.s. 680
D.s. 700
Answer: C.s. 680
Explanation: S.I. for 1 year = Rs. (860 - 815) = Rs. 45.
S.I. for 3 years = Rs.(45 x 3) = Rs. 135.
Principal = Rs. (815 - 135) = Rs. 680.
Answer: Option C
Question: Which of the following is closest to (-7/8)^199？
A.-1
B.-1/2
C.0
D.1
Answer: C.0
Explanation: (-7/8)^4 = 2401/4096 which is already less than 2/3.
For larger exponents, the expression will get closer and closer to zero.
The answer is C.
Question: What is the difference between the place values of two sevens in the numeral 54709479 ?
A.699990
B.99990
C.99980
D.699930
Answer: D.699930
Explanation: Explanation:
Required Difference
= 700000 - 70 = 699930
Answer is D
Question: Find out the square of a number which when doubled exceeds its quarter by 7 ?
A.16
B.11
C.31
D.29
Answer: A.16
Explanation: A
16
Explanation:
Let the number be p, then the square will be p^2
According to question:
2p = (p/4) + 7
=> 8p = p + 28
=> p = 4
p^2 = 4^2 = 16.
Question: An investor can sell her MicroTron stock for 36$ per share and her Dynaco stock for 68$ per share, If she sells 300 shares altogether, some of each stock, at an average price per share of 40$, how many shares of Dynaco stock has she sold?
A.52
B.37.5
C.92
D.136
Answer: B.37.5
Explanation: w1/w2 = (A2 - Aavg)/(Aavg - A1) = (68 - 40)/(40 - 36) = 28/4 = 7/1 = Number of MicroTron stocks/Number of Dynaco stocks
So for every 7 MicroTron stock, she sold 1 Dynaco stock.
So out of 300 total stocks, (1/7)th i.e. 300/8 = 37.5 must be Dynaco stock.
Answer (B)
Question: If 0 < a < b and k = (2a +5b)/b , which of the following must be true?
A.k < 2
B.k < 7
C.k < 9
D.k > 9
Answer: B.k < 7
Explanation: Please follow posting guidelines (link in my signature) especially writing the correct topic title. Also do mention the source of the question if you select the tag:Source-Other Please Specify.
As for your question, it is very simple and straightforward with number plug in.
Assume a=1 and b=2 as a<b, you get k = (2+10)/2 = 6. This eliminates all but option B , making it the correct answer.
Question: Convert the 8/26 m/s into kilometers per hour?
A.3.5 kmph.
B.2.5 kmph.
C.1.2 kmph.
D.1.1 kmph.
Answer: D.1.1 kmph.
Explanation: 8/26 m/s = 8/26 * 18/5 = 1 (1/10) = 1.1 kmph.
ANSWER:D
Question: John found that the average of 15 numbers is 40. If 15 is added to each number then the mean of number is?
A.55
B.45
C.65
D.78
Answer: A.55
Explanation: (x+x1+...x14)/15 = 40
55
Option A
Question: If A,B,C are three integers and AB+C is even ; which of the following must be true? A)C is Odd B)B is Odd C)AB is Odd
A.I only
B.None of the above
C.II only
D.III only
Answer: B.None of the above
Explanation: If AB is Odd then C will not even. O+E = O
If AB is even then C will not be odd.
If B is even AB is even always. But If C is Odd E+O = O
If B is Odd AB is even or odd depends on A
None of the above are true.
Answer : B
Question: In a group of 15 people, 8 read English, 7 read French while 3 of them read none of these two. How many of them read French and English both?
A.2
B.3
C.4
D.7
Answer: B.3
Explanation: In the following Venn diagram, F and E represent people who read French and English respectively.
Now, [F+({F ∩ E}) + E] = 15-3 (or) F+E+(F ∩ E) = 12 ......(1) Also, F+(F ∩ E) = 7; E+(F ∩ E) = 8. By adding, F+E+2(F ∩ E) = 15 ---------- (2) By subtracting (1) from (2), we get (F ∩ E) = 3. ∴ 3 of them read both French and English.
Answer:B
Question: The maximum number of students among them 100 pens and 50 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils?
A.50
B.75
C.69
D.79
Answer: A.50
Explanation: number of pens = 100
number of pencils = 50
Required number of students = H.C.F. of 100 and 50 = 50
Answer is A
Question: A can give B 70 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
A.139.78
B.139.13
C.139.22
D.111.0
Answer: A.139.78
Explanation: A runs 1000 m while B runs 930 m and C runs 800 m.
The number of meters that C runs when B runs 1000 m,
= (1000 * 800)/930
= 860.21 m.
B can give C = 1000 - 860.21
=139.78m.
Answer:A
Question: A departmental store charges the commission of 15 percent on the first sale of items worth $50,000 and then an additional 10 percent on any sale price that exceeds the initial $50,000. If the department store earned $20,000 in commissions for the sale of a series of diamonds, what was the sale price of the diamond set?
A. $215,000
B. $365,000
C. $115,000
D. $175,000
Answer: D. $175,000
Explanation: 20,000 = 0.15 *(50000) + 0.10 (x - 50000)
20000 - 7500 = 0.10 (x-50000)
125000 = x - 50000
x = 1,75,000
Answer : D
Question: A and B invested Rs.4000 and Rs.5000 and they get 20% profit at the end of year. Then share of B is
A.Rs.1200
B.Rs.1000
C.Rs.1300
D.Rs.1500
Answer: B.Rs.1000
Explanation: Total invest is 9000
20% gain of 9000 is 1800
A:B=4:5
B's share will be (5/9)*1800=1000
ANSWER:B
Question: A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.
A.30
B.40
C.10
D.20
Answer: B.40
Explanation: Explanation:
Volume of the block = (6 x 12 x 15) cm3 = 1080 cm3
Side of the largest cube = H.C.F. of 6 cm, 12 cm, 15 cm
= 3 cm.
Volume of this cube = (3 x 3 x 3) cm3 = 27 cm3
Number of cubes = (1080/27) = 40.
Answer: B
Question: A user type a content on 20 sheets, each sheet consist of 55 lines, and each line can have 65 characters. The content is again retyped on a record which is having 71 pages of 65 lines and each line can take 70 characters . How many lines of a record will be free?
A.30
B.40
C.50
D.60
Answer: C.50
Explanation: f it is asking for no of pages will be free then
20*55*65= 65*70* (no of page)
no of page= 110/7 = 15.7 = 16 pages
71-16=55(ans)
if it is asking for no of lines will be free in one page then
20*55*65=70*71*(no of lines)
no of lines=14.38= 15 lines
no of lines will be free on each page=65-15=50
ANSWER:C
Question: The length of a rectangle is doubled while its width is tripled. What is the % change in area?
A.250%
B.300%
C.500%
D.650%
Answer: C.500%
Explanation: The original area is L*W
The new area is 2L*3W = 6*L*W = L*W + 5*L*W
The area increased by 500%.
The answer is C.
Question: If
GOOD is coded 164,
BAD is coded 21,
UGLY is coded 260,
then JUMP is coded as ?
A.230
B.240
C.250
D.260
Answer: B.240
Explanation: a=1 , b=2 , c=3 ,....................y=25 , z=26
JUMP = 10+21+13+16 = 60
JUMP is a word of Four letters so multiply it by 4
Therefore , 60*4=240
ANSWER:B
Question: Which letter will come exactly between the tenth letter from your left and the seventh letter from your right. Without changing any order in the original from the alphabet?
A.o
B.p
C.e
D.r
Answer: A.o
Explanation: 10th letter from your left is J
7th letter from your right is T
The mid letter between J and T is O.
ANSWER A
Question: If x and y are positive integers, find which of the following CANNOT be the greatest common divisor of 25x and 20y?
A.5
B.5(x-y)
C.20x
D.20y
Answer: C.20x
Explanation: We are looking for a choice that CANNOT be the greatest common divisor of 25x and 20y ...which means 35x and 20y when divided by the answer choice the quotient should not be a integer.
lets check
a. 5 25x/5 = 5x and 20y/5 = 4y both are integers so eliminate
b. 5(x-y) when x = 2 and y = 1 it could be be the greatest common divisor ..so eliminate
c. 20x when x = 1 its 20 and 20 cannot be the greatest common divisor of 25x and 20y ...
or 25x/20x = 5/4 which is not a integer.
so answer is C.
Question: A club wants to mix 25 pounds of candy worth $8.00 per pound with candy worth $5.00 per pound to reduce the cost of the mixture to $6.00 per pound. How many pounds of the $5.00 per pound candy should be used?
A.30
B.40
C.50
D.60
Answer: C.50
Explanation: Let number of pounds of 5$ candy to be used be w
6 = (25*8 + 5*w)/(25 +w)
=>150 + 6w = 200 + 5w
=> w = 50
Answer C
Question: The speed of a boat in upstream is 45 kmph and the speed of the boat downstream is 60 kmph. Find the speed of the boat in still water and the speed of the stream?
A.7.5 kmph
B.17.5 kmph
C.12.5 kmph
D.5.5 kmph
Answer: A.7.5 kmph
Explanation: Speed of the boat in still water = (45+60)/2 = 52.5 kmph. Speed of the stream
= (60-45)/2
= 7.5 kmph.
Answer:A
Question: if (x + y)/(2x + y) = 4/7, then find (2x + y)/(3x + y) ?
A.5/6
B.8/9
C.4/10
D.7/10
Answer: D.7/10
Explanation: (x + y)/(2x + y) = 4/7
=> 7x + 7y = 8x + 4y => 3y = x
Now, (2x + y)/(3x + y) = 7y/10y = 7/10.
ANSWER:D
Question: A tempo, while travelling at 70 kmph, uses 30% more petrol than it uses while travelling at 50 kmph for travelling a certain distance. Using one litre of petrol, it can travel 19.5 km at 50 kmph. How far can the tempo travel on 10 litres of petrol at a speed of 70 kmph?
A.150 kms
B.160 kms
C.170 kms
D.180 kms
Answer: A.150 kms
Explanation: @50 kmph , one km distance uses 1/19.5 ltr petrol.
@70kmph, one km dist. uses 1.3/19.5 ltr petrol
Distance travelled with 10 ltrs @ 70kmph = 10*19.5/1.3= 150 kms.
ANSWER:A
Question: The speed of a boat in upstream is 50 kmph and the speed of the boat downstream is 120 kmph. Find the speed of the boat in still water and the speed of the stream?
A.10 kmph
B.76 kmph
C.12 kmph
D.35 kmph
Answer: D.35 kmph
Explanation: Speed of the boat in still water
= (50+120)/2
= 170 kmph. Speed of the stream
= (120-50)/2
= 35 kmph.
Answer:D
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
A.6 kmph
B.7 kmph
C.8.5 kmph
D.8 kmph
Answer: A.6 kmph
Explanation: S = 1
M = x
DS = x + 1
US = x - 1
35/(x + 1) + 35/(x - 1) = 12
x = 6
ANSWER:A
Question: If x is an integer and 2.134 × 10^x is less than 210,000, what is the greatest possible value for x?
A.7
B.6
C.5
D.4
Answer: D.4
Explanation: 21340 * 10^-4 * 10^x < 210,000, x=4
because the next zero on the right side will make 21,340 > 210,000
Answer D,
Question: Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?
A.$21,000
B.$18,000
C.$15,000
D.$ 4,500
Answer: C.$15,000
Explanation: 360 + 0.06 (x-1000) = 0.08x
or 360 -60 = 0.08x
or 300/0.02 = x
or 15000 =x
Answer : C
Question: Antony has s pairs of shoes, which is 1/2 as many as Steve and thrice as many as Stephen. In terms of s, how many pairs of shoes do the three of them have combined?
A.14/3*s
B.10/3*s
C.4s
D.5s
Answer: B.10/3*s
Explanation: == s +2s + s/3 ==> 3s + 1/3 s = 10/3*s
Ans .B
Question: The greatest number of four digits which is divisible by 16,24,40 and 72 is:
A.9020
B.9400
C.9360
D.9600
Answer: C.9360
Explanation: Greatest number of 4-digits is 9999.
L.C.M. of 16, 24, 40 and 72 is 720.
On dividing 9999 by 720, the remainder is 639.
Required number (9999 - 639) = 9360.
Answer: Option C
Question: A man can row 4 kmph in still water. When the river is running at 1.8 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
A.7.13
B.6.19
C.4.12
D.3.19
Answer: B.6.19
Explanation: M = 4
S = 1.8
DS = 5.8
US = 2.2
x/5.8 + x/2.2 = 1
x = 1.59
D = 1.59 * 2 = 3.19
Answer: B
Question: John started a business investing Rs. 70,000. Rose joined him after six months with an amount of Rs.1,05,000 and Mary joined them with Rs. 1.4lakhs after another 6 months. The amount of profit earnedshould be distributedin what ratio among John, Rose and Mary respectively, 3years after John started the business?
A.10 : 11 : 13
B.9 : 15 : 16
C.12 : 15 : 16
D.14 : 15 : 18
Answer: C.12 : 15 : 16
Explanation: John : Rakhi : Sagar = (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24) = 12 : 15 : 16
C
Question: A man complete a journey in 10 hrs. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km?
A.176 km
B.224 km
C.168 km
D.197 km
Answer: B.224 km
Explanation: Let the total distance be x km.
Then, [(1/2 x) / 21 + (1/2 x) / 24] = 10
15x = 168 * 20 => x
= 224 km.
Answer: B
Question: In how many ways can 4 arts and 4 science students be arranged in a row so that the arts and the science students are placed alternately?
A.288
B.185
C.326
D.576
Answer: D.576
Explanation: The four art students can be arranged in those 4 A-slots in 4! = 24 ways.
The four science students can be arranged in those 4 S-slots in 4! = 24 ways.
Total arrangements = 24*24 = 576
Answer =(D)
Question: How many different arrangements of A, B, , D, and E are possible where A is not adjacent to B and D is not adjacent to E?
A.96
B.48
C.8
D.30
Answer: C.8
Explanation: So you have A,B,,D,E
five possible ways to arrange it = 4! = 24
AB cannot be adjacents neither DE:
(AB),,D,E = 3! = 6x 2(because it can be (AB) or (BA) ) = 12
A,B,,(DE) = 3! = 6 x 2 = 12
To get rid of the double counting:
(AB),(DE) = 2! x 4 = 8
(Four possible ways to arrange it)
24 -12-12+8 =8 possible ways
C