RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Which of the following is equal to the value of 2^3 + 2^3 + 3^3 + 3^3 + 3^3 ?
A.2^3 + 3^3
B.2^7 + 3^4
C.2^8 + 3^4
D.2^4 + 3^4
Answer: D.2^4 + 3^4
Explanation: 2^3 + 2^3 + 3^3 + 3^3 + 3^3
= 2 (2^3) + 3 (3^3)
= 2^1 (2^3) + 3^1 (3^3)
= 2^(1+3) + 3^(1+3)
= 2^4 + 3^4
Ans: D
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
A.190 sec
B.200 sec
C.210 sec
D.220 sec
Answer: A.190 sec
Explanation: Time taken by B run 1000 meters = (1000 * 10)/50 = 200 sec.
Time taken by A = 200 - 10 = 190 sec.
ANSWER A
Question: ‘A’ and ‘B’ started a business in partnership investing Rs 20000/- and Rs 15000/- respectively. After six months ‘C’ jointed them with Rs 20000/-. What will beB’s share in the total profit of Rs 25000/- earned at the end of two years from the starting of the business?
A.6500
B.7500
C.8500
D.9000
Answer: B.7500
Explanation: A:B:C =(20000*24) : (15000*24) : (20000*18)
= 4 : 3 : 3
B's Share = (3*25000)/(4+3+3)=7500Rs
ANSWER:B
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
A.877m
B.189m
C.350m
D.216m
Answer: C.350m
Explanation: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 39
= 50/3
3(x + 300) = 1950 è x
= 350m.
Answer: C
Question: Anand and Deepak started a business investing Rs. 5,500 and Rs. 19,000 respectively. Out of a total profit of Rs. 20,800, Deepak's share is?
A.Rs. 9400
B.Rs. 16130.6
C.Rs. 8400
D.Rs. 3400
Answer: B.Rs. 16130.6
Explanation: Ratio of their shares = 5500 : 19000 = 11 : 38
Deepak's share = 20800 * 38/49= Rs. 16130.6
Answer:B
Question: A train leaves New York City at 7.15 Am and arrives in Buffalo at 2.47 that afternoon. What total length of time does the trip take?
A.7 h 92 min.
B.7 h 32 min.
C.7 h 12 min.
D.8 h 32 min.
Answer: B.7 h 32 min.
Explanation: Explanation:
2.47 PM = 14.47
Total time = 14.47 – 7.15 = 7 hrs 32 min
Answer:B
Question: A no.when divided by 158 gives a remainder 50, what remainder will be obtainedby dividingthe same no.16?
A.10
B.11
C.12
D.13
Answer: D.13
Explanation: 158 + 50 = 208/16 = 13 (Remainder)
D
Question: In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?
A.16 sec
B.18 sec
C.19 sec
D.10 sec
Answer: D.10 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 = 100/10 = 10 sec.
Answer: D
Question: If selling price of 12 pens is equal to the cost price of 18 pens, find the profit percent.
A.50%
B.58%
C.59%
D.51%
Answer: A.50%
Explanation: Explanation:
Selling price of 12 pens = cost price of 18 pens
Therefore, the profit is 6 pens and cost price is 12 pens.
% profit = profit/cost price * 100
= 6/12 * 100
= 50%
ANSWER: A
Question: If a and b are the roots of the equation x2 - 9x + 9 = 0, then the value of a2 + b2 is:
A.63
B.24
C.17
D.6
Answer: A.63
Explanation: Sol.(b) The sum of roots = a+ b = 9
Product of roots = ab = 9
Now, a2 + b2 = (a + b)2 - 2ab = 81 - 18 = 63
Answer A
Question: A businessman earns $26800 in December, thus decreasing his average annual (January to December) earnings by $1200. His average annual earnings would be
Source: CMAT Preparation
A.$29000
B.$33500
C.$40000
D.$41000
Answer: C.$40000
Explanation: (x - 26,800)/11 - x/12 = 1,200
x = 480,000
x/12 = 40,000
Answer: C.
Question: A room contains 200 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.0
B.05
C.10
D.15
Answer: C.10
Explanation: Say group of x people left the room.
# of women in the room was 0.15*200=30;
# of women in the group that left 0.3x;
# of women in the room after the group left it is 0.1(160-x);
So, 30-0.3x= 0.1(200-x) --> x=10.
Answer: C.
Question: A business school club, Friends of Foam, is throwing a party at a local bar. Of the business school students at the bar, 40% are first year students and 60% are second year students. Of the first year students, 45% are drinking beer, 40% are drinking mixed drinks, and 15% are drinking both. Of the second year students, 30% are drinking beer, 30% are drinking mixed drinks, and 20% are drinking both. A business school student is chosen at random. If the student is drinking beer, what is the probability that he or she is also drinking mixed drinks?
A.1/2
B.4/7
C.10/17
D.7/24
Answer: A.1/2
Explanation: Suppose there are 100 students
Group A : 40% = 40 students
45% drink beer = 18
40% mixed = 16
15% both = 6
Group B 60% = 60
30% beer= 18
30% mixed = 18
20% both= 12
now we need both ( beer + mixed = both)
probability = total beer drinker = 18+18 =36 and both = 20
thus 18/36 = 1/2
Hence A
Question: Which of these following integers is the square of an integer?
A.20821304103
B.20571304329
C.20467304228
D.20453304487
Answer: B.20571304329
Explanation: The unit digit of any perfect square can not be 2, 3, 7, or 8.
The answer is B.
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 38 years now, the son's age five years back was:
A.24 years
B.33 years
C.14 years
D.18 years
Answer: C.14 years
Explanation: Let the son's present age be x years. Then, (38 - x) = x
2x = 38.
x = 19.
Son's age 5 years back (19 - 5) = 14 years.
answer :C
Question: Martha takes a road trip from point A to point B. She drives x percent of the distance at 50 miles per hour and the remainder at 40 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator?
A. 110
B. 20,000
C. 1,100
D. 3,000
Answer: B. 20,000
Explanation: total distance = d
total time taken = x/(100*50) + (100-x)/(100*40)
speed = distance / time
gives numerator = 20000
Answer : B
Question: An amount of Rs.10,000 is to be distributed amongst P, Q, R and S such that “P” gets twice as that of “Q” and “S” gets four times as that of “R”. If “Q” and “R” are to receive equal amount, what is the difference between the amounts received by S and P?
A.2500
B.2697
C.2697
D.5000
Answer: A.2500
Explanation: Explanation:
We have, P = 2Q & S = 4R
Further Q = R & P + Q + R + S = 10,000
Thus we get, 2Q + Q + Q + 4Q = 10,000
8Q = 10,000 or Q = Rs. 1250
Thus, R = Rs. 1250, P = 2500 & S = Rs. 5000
Hence, the required difference = (S – P) = (5000 – 2500) = Rs. 2500
ANSWER:A
Question: What is the speed of the stream if a canoe rows upstream at 4km/hr and downstream at 12km/hr
A.1 kmph
B.4 kmph
C.3 kmph
D.2 kmph
Answer: B.4 kmph
Explanation: Sol.
Speed of stream = 1/2(12 - 4) kmph = 4 kmph.
Answer B
Question: A cylinder is inserted in a sphere d/h = 2/3. Find the surface area of the cylinder ?
A.23.12
B.24.12
C.25.12
D.26.12
Answer: C.25.12
Explanation: take r=1, h=3
=2*3.14*r*r+2*3.14*r*h
=2*3.14*r(r+h)
=2*3.14*1(1+3)
=2*3.14(4)
=25.12
ANSWER:C
Question: Jerry and Beth each drove from Smallville to Crown City by different routes. Jerry drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer, and it took her 20 minutes more than Jerry to complete the trip. How many miles per hour was Beth's average speed on this trip?
A. 24
B. 30
C. 48
D. 54
Answer: B. 30
Explanation: Speed = Distance/Time
Distance for Jerry = Speed * Time = 40 * 1/2 = 20 miles
Distance for Beth = Distance for Jerry +5 = 20+5 = 25 miles
Time taken by Beth = Time taken by Jerry + (1/3 hour) = 1/2+1/3 = 5/6
Speed of Beth = D/T = 25/(5/6) = 25*6/5 = 30 miles per hour
Hence, B is the answer.
Question: The set S has 36 different subsets each of which contains exactly two elements. How many subsets of S could contain exactly five elements each?
A.120
B.126
C.130
D.140
Answer: B.126
Explanation: nC2 = 36
=> n*(n-1)/2 = 36 by middle term factor and n cannot be -ve
=> n = 9
nC3 = 9C5 = 9!/5!(9-5)!= 9*8*7*6*5!/5!*4*3*2*1= 126
So, Answer is B
.
Question: m and n are the x and y coordinates, respectively, of a point in the coordinate plane. If the points (m, n) and (m + p, n + 15) both lie on the line defined by the equation x = (y/5) - (2/5), what is the value of p?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: x = (y/5) - (2/5), and so y = 5x + 2. The slope is 5.
(n+15-n) / (m+p-m) = 5
p = 3
The answer is C.
Question: Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 240 marks in the second test and failed by 57 marks in that test. Find the pass mark in the first test?
A.768
B.243
C.246
D.264
Answer: D.264
Explanation: Let the maximum mark in each test be M.
The candidate failed by 57 marks in the second test.
pass mark in the second test = 240 + 57 = 297
45/100 M = 297
Pass mark in the first test = 40/100 M = 40/45 * 297 = 264.
Answer:D
Question: A scuba diver descends at a rate of 32 feet per minute. a diver dive from a ship to search for a lost ship at the depth of 6400feet below the sea level..how long will he take to reach the ship?
A.200 minutes
B.240 minutes
C.220 minutes
D.210 minutes
Answer: A.200 minutes
Explanation: Time taken to reach = 6400/32= 200 minutes
ANSWER:A
Question: A new home buyer pays 4% annual interest on her first mortgage and 9% annual interest on her second mortgage. If she borrowed a total of $320,000, 80% of which was in the first mortgage, what is her approximate monthly interest payment?
A.$1,333
B.$1,733
C.$3,466
D.$13,333
Answer: A.$1,333
Explanation: Making the numbers a little easy looking:
Monthly payment = 320,000*(80/100*4/100+20/100*9/100)/12
= 3200/12*(3.2+1.8)
= 16000/12=1333
ANSWER:A
Question: Find the next number in this Sequence and solve this thinking riddle.
6 14 36 98 ?
A.120
B.200
C.398
D.276
Answer: D.276
Explanation: D
276
6 = 11 + 21 + 31
14 = 12 + 22 + 32
36 = 13 + 23 + 33
98 = 14 + 24 + 34
276 = 15 + 25 + 35
Question: A and B can complete a work in 15days and 10day. They started doing the work together but after 2days B had to leave and A alone completed the remaining work. The whole work was completed in?
A.10days
B.12days
C.15days
D.8days
Answer: B.12days
Explanation: A+B 1day work = 1/15 + 1/10 = 1/6
Work done by A and B in 2days = 1/6 * 2 = 1/3
Remaining work = 1-1/3 = 2/3
Now 1/15 work is done by A in 1day
2/3 work will be done by A in 15*2/3 = 10days
Total time taken = 10+2 = 12days
Answer is B
Question: In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 320 points, how many points is the third question worth?
A.39
B.24
C.22
D.20
Answer: C.22
Explanation: x
x+4
x+8
x+12
x+16
x+20
x+24
x+28
x+32
x+36
10x+180=320
10x=140
x=14
3rd question = x+8 = 14+8 = 22
Answer C
Question: Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:
A.16 hours
B.18 hours
C.20 hours
D.24 hours
Answer: D.24 hours
Explanation: speed of upstream=9-1.5=7.5kmph
speed of down stream=9+1.5=10.5kmph
total time=(105/7.5)+(105/10.5)=24hrs
ANSWER:D
Question: A lamp is put on one corner of a square plot of side 50m. It's light reaches 21m. Find the area of that plot that is lit by that lamp?
A.248
B.312.5
C.346.5
D.392.5
Answer: C.346.5
Explanation: Area covered by lamp = Pi*r^2/4 ( here we divide by 4 because lamp is put in the corner of the plot and only 1/4 part lit is of the plot)
where r= 21 m = length of part lit
So area = (22/7)*21*21/4 = 346.5 sq m
answer :C
Question: 4 professors and 6 students are being considered for membership on a supervisory committee which must consist of 3 people. If the committee has to include at least 3 professor, how many ways can this committee be formed?
A.36
B.60
C.72
D.80
Answer: A.36
Explanation: you count up combinations twice.
4*9*8... and let me name 6 with students A,B,C,..,F
after choosing a professor, when you choose Student A and B, you can choose A first, then B. Or B first, then A. Both combination are same.
I don't think that's the only mistake.
36 is a factor of = 2^2*3^2
72 is a factor of = 2^3*3^2.
These are very different numbers and you cannot divide 72 with something to get to 36. ans A
Question: A travel agent offers a vacation plan which costs 'a' dollars for the first day, and a/5 for each additional day. How much does a vacation of b days cost, where b > 1.
A.(ab+4a)/2
B.(ab+8a)/5
C.(ab+4a)/5
D.(ab+4a)/3
Answer: C.(ab+4a)/5
Explanation: Cost = a + (b-1)*a/5 = (5a + (b - 1)*a)/5 = (ab+4a)/5
Answer is C
Question: A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
A.3.6
B.7.2
C.8.4
D.10
Answer: B.7.2
Explanation: Speed = 600/(5 x 60)	m/sec.
= 2 m/sec.
Converting m/sec to km/hr
= (2 x	(18/5)) km/hr
= 7.2 km/hr.
Answer : B
Question: In one can of mixed nuts, 50% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts?
A.46 2/3%
B.20%
C.25%
D.33 1/3%
Answer: A.46 2/3%
Explanation: Can 1: size 1; 50% nuts
Can 2: size 0.5 and 40% nuts
(1x0.5+0.5x0.4)/1.5=46 2/3
A
Question: A set of 12 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?
A.32
B.37
C.40
D.43
Answer: C.40
Explanation: The correct answer is D.
A set of 15 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?
Given 15 different integers, lets say
n1, n2, n3, n4, n5, n6, n7, n8, n9, n10, n11, n12, n13, n14, n15
Also given median is 25 i.e. n8 = 22
n1, n2, n3, n4, n5, n6, n7, 25, n9, n10, n11, n12, n13, n14, n15
As each integer is different we need to find the maximum values for all those numbers before the median.
the maximum value n7 can have is one less then the median i.e. 24, similarly n6 will be one less than 24 i.e. 23 ... using this process the values for all number before the median would be..
18, 19, 20, 21, 22, 23, 24, 25, n9, n10, n11, n12, n13, n14, n15
Also given the range is 25 i.e. n15 - n1 (18) = 25
The maximum value n15 can have is 22 + n1 (18) = 40
C
Question: The length of the bridge, which a train 150 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
A.230
B.225
C.245
D.238
Answer: B.225
Explanation: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (150 + X)/30 = 25/2 ==> 2(150 + X) = 750 ==> X = 225 m.
Answer: Option B
Question: Evaluate 24.39 + 562.093 + 35.96
A.631.344
B.622.443
C.623.434
D.632.423
Answer: B.622.443
Explanation: 24.39 + 562.093 + 35.96 = 622.443
Option B
Question: In a race where 15 cars are running, the chance that car X will win is 1/4, that Y will win is 1/8 and that Z will win is 1/12. Assuming that a dead heat is impossible, find the chance that one of them will win.
A.1/140
B.1/180
C.11/24
D.10/15
Answer: C.11/24
Explanation: Required probability = P(X) + P(Y) + P(Z) (all the events are mutually exclusive).
= 1/4 + 1/8 + 1/12
= 11/24
ANSWER:C
Question: Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are:
A.7, 6
B.5, 1
C.6, 3
D.8, 7
Answer: C.6, 3
Explanation: Explanation :
Let A and B be such sets, i.e., n (A) = m, n (B) = n
So, n (P(A)) = 2m and n (P(B)) = 2n
Thus n (P(A)) – n (P(B)) = 56, i.e. 2m – 2n = 56
⇒ 2n (2m-n - 1) = 23 x 7
⇒ n = 3 , 2m-n – 1 = 7
⇒ m = 6
Answer : C
Question: Eleven bags are bought for Rs.1000 and sold at 10 for Rs.1300. What is the gain or loss in percentage?
A.10%
B.21%
C.25%
D.23%
Answer: D.23%
Explanation: Explanation:
As selling price is Rs.1300 for 10 bags, each bag is sold at Rs.130.
Hence, the profit is Rs.100 after selling 10 bags plus the selling price of 1 bag = 100 + 130 = Rs.230.
%profit = 230/1000 *100
= 23%
ANSWER D
Question: A password of a computer used six digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero?
A.1/64
B.1/16
C.1/8
D.2/5
Answer: A.1/64
Explanation: We have six digits can be used for password -0,2,3,5,7.
Assuming that the numbers can be repeated any number of times in the password, probability of selecting any one of them is 5/10 (out of 10 digits from 0-9)
So, 5/10 * 5/10 * 5/10 * 5/10 * 5/10 * 5/10=1/64 (A)
Question: The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
A.79 kmph
B.85 kmph
C.34 kmph
D.23 kmph
Answer: B.85 kmph
Explanation: S = (90 + 60)/2
= 75 kmph
Answer:B
Question: Y and Z are in a relay race. Y runs the first leg of the course in 58 seconds. Z runs the second leg of the course in 26 seconds. What was the average time they took to run a leg of the course?
A.39
B.40
C.41
D.42
Answer: D.42
Explanation: (58 seconds +26 seconds)/2= 42 seconds
Correct option is: D
Question: Along a yard 441 metres long, 22 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees
A.18
B.19
C.20
D.21
Answer: D.21
Explanation: Explanation:
22 trees have 21 gaps between them,
Required distance (441/21) = 21
Option D
Question: A military garrison in a wild frontier has 600 men who have provisions to last 25 weeks. At the end of 6 weeks they are joined by another 300 men. How long will the provisions last?
A.13 1/3
B.12 1/3
C.38
D.36
Answer: C.38
Explanation: Total provisions=600*25*7=105000
Provisions used for in 6 weeks=6*7*600=25200
remaining provisions=79800
remaining provisions need to be split between 900(600+300) people.
Number of provisions per person= 79800/900
we need to find the answer in terms of weeks=(79800/900)/7=38
Answer:C
Question: An outlet pipe can empty 2/3 rd of a cistern in 16 minutes. In 8 minutes, what part of the cistern will be emptied?
A.1/3
B.4/3
C.4/2
D.4/8
Answer: A.1/3
Explanation: 2/3 ---- 16
? ----- 8 ==> 1/3
Answer: A
Question: Which one of the given numbers is divisible by 11?
A.4823718
B.8423718
C.8432718
D.4831728
Answer: D.4831728
Explanation: Explanation:
4831728 = (4+3+7+8) – (8+1+2) = 11
So, the given number is divisible by 11
Answer:D
Question: How much more would Rs.50000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
A.482
B.1205
C.992
D.837
Answer: B.1205
Explanation: 50000(11/10)4 - 50000(6/5)2 = 1205
Answer:B
Question: Three people are playing cards. What is the probability that a card drawn from a pack of 52 cards will be a diamond or a king?
A.2/9
B.3/11
C.4/13
D.4/11
Answer: C.4/13
Explanation: Here, n(S) = 52
There are 13 cards of diamond (including one king) and there are 3 more kings.
Let E = event of getting a diamond or a king.
Then, n(E) = (13 + 3) = 16
P (E) = 16 / 52 = 4/13
C
Question: On a certain plane, 2/5 of the passengers speak Farsi and 3/4 speak English. If all of the passengers on the plane speak at least one of these languages, what is the smallest number of passengers that could be on the plane?
A.12
B.15
C.120
D.224
Answer: C.120
Explanation: Assume the total members = x
Farsi = .4x
English= .75x
Farsi + English= 1.15x, but this is not possible hence 15 people speak both languages.
Only Farsi = .25x, Only English= .6x, both = .15x
Since these are all people, all of these should be whole numbers.
Checking the options:
A. 12. Only English= 12*0.6 = 7.2 We do not get the people as whole numbers. INCORRECT
B. 15. Only Farsi = 0.25*15 Again we do not get the people as whole numbers. INCORRECT
C. 120 Only Farsi = .25*120 = 30, Only Hebrew = .6*120 = 72, both = .15*120 = 18. We have the people as whole numbers. CORRECT
D. 224
E. 240
Since we have to find the lowest number, no need to calculate for the rest of the options.
Correct Option: C
Question: In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is?
A.39yr
B.42yr
C.45yr
D.32yr
Answer: A.39yr
Explanation: Let B's present age = x years
Then A's present age = x+9 years
x+9+10 = 2(x-10)
x + 19 = 2x - 20
x = 39years
Answer is A
Question: The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
A.180
B.288
C.276
D.288
Answer: A.180
Explanation: Let the five numbers be P, Q, R, S and T.
=> P + Q + R + S + T = 655.
(P + Q)/2 = 85 and R = 125
P + Q = 170 and R = 125
P + Q + R = 295
S + T = 655 - (P + Q + R) = 360
Average of the last two numbers = (S + T)/2 = 180.
Answer: A
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 363 sq m, then what is the breadth of the rectangular plot?
A.11
B.17
C.18
D.101
Answer: A.11
Explanation: Let the breadth of the plot be b m.
Length of the plot = 3 b m
(3b)(b) = 363
3b2 = 363
b2 = 121 = 11 (b > 0)
b = 11 m.
Answer: A
Question: A clothing store prices jeans at 30% above the wholesale price of $50. They have a sale for 25% off all jeans. How much would a customer pay for 2 pairs of jeans during the sale?
A.$98.5
B.$97.25
C.$48.75
D.$97.50
Answer: D.$97.50
Explanation: Wholesale cost of jeans = $50
Jeans were priced at 30% above $50 = $65
% discount given by sale = 25%
Customer paid = .75 * 65 = $48.75
Cost of 2 pairs of jeans = 48.75 * 2 = $97.5
Answer D
Question: A, B and C enter into a partnership by investing $7000, $11000 and $18000 respectively. At the end of 8 months, B receives $2200 as his share. Find the share of A.
A.$1200
B.$1300
C.$1400
D.$1500
Answer: C.$1400
Explanation: The ratio of capital of A, B and C = 7000 : 11000 : 18000 = 7 : 11 : 18
A's share = (7/11)*2200 = $1400
The answer is C.
Question: How many halves are there in nine-fourth?
A.8
B.4.5
C.3.2
D.7
Answer: B.4.5
Explanation: divide 9/4 by 1/2
=9/4÷1/2
=9/4*2/1
=18/4
=4.5.
Answer is B.
Question: The unit digit in the product 784*618*917*463 is?
A.3
B.2
C.4
D.5
Answer: B.2
Explanation: Unit digit in the given product = unit digit in 4*8*7*3 = 2
Answer is B
Question: A number is selected at random from the first 30 natural numbers. What is the probability that the number is a multiple of either 5 or 12?
A.17/30
B.2/5
C.7/15
D.4/15
Answer: D.4/15
Explanation: Number of Multiples of 5 from 1 through 30 = 30/5 = 6
Number of Multiples of 12 from 1 through 30 = 30/12 = 2
Number of Multiples of 5 and 12 both from 1 through 30 = Number of Multiples of 12*5(=60) = 0
Total favourable cases = 6 + 2 - 0 = 8
Probability = 8 / 30 = 4/15
Answer: option D
Question: 21 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.
A.22
B.21
C.44
D.45
Answer: B.21
Explanation: n for cyclic hand shake and n-1 for linear handshake.
so here no of hand shake is 21.
ANSWER:B
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 20 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.288
B.492
C.877
D.278
Answer: B.492
Explanation: 1h ----- 5
? ------ 60
12 h
RS = 20 + 21 = 41
T = 12
D = 41 * 12 = 492
Answer: B
Question: At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 10.50 + 0.25(s – 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?
A.$0.50
B.$1.00
C.$1.25
D.$1.50
Answer: D.$1.50
Explanation: OA is definitely wrong. The answer should be D.
Question: Joe bought a concert ticket for a 40% off the original price. If the ticket cost him $46.35, what is the original selling price of the ticket?
A.$115.88
B.$77.25
C.$64.89
D.$74.16
Answer: B.$77.25
Explanation: Explanation:CP of Joe is 40% of the Original SP.:. Original SP = $46.35x100/60 = $77.25.Answer: Option B.