RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?
A.15
B.14
C.17
D.18
Answer: A.15
Explanation: In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9.
ANSWER A
Question: The manufacturing cost of a shoe is Rs.210 and the transportation lost is Rs.500 for 100 shoes. What will be the selling price if it is sold at 20% gains
A.s 222
B.s 216
C.s 258
D.s 210
Answer: C.s 258
Explanation: Explanation :
Total cost of a watch = 210 + (500/100) = 215.
Gain = 20% => SP = 1.2CP = 1.2 X 215 = 258
Answer : C
Question: Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
A.33
B.77
C.18
D.99
Answer: C.18
Explanation: Let the leak can empty the full tank in x hours 1/6 - 1/x = 1/9
=> 1/x = 1/6 - 1/9 = (3 - 2)/18 = 1/18
=> x = 18.
Answer: C
Question: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 25, and 30 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?
A. 4/11
B. 1/2
C. 15/22
D. 150/11
Answer: D. 150/11
Explanation: P1 takes 12 hrs
Rate for P2P3 together = 1/25 + 1/30 = 11/150
Therefore they take 150/11
Ratio = 150/11 = D
Question: If x, y, and z are positive integers such that x^2 + y^2 + z^2 = 3460, which of the following could be the values of x, y, and z?
I. x=21,y=42,z=36
II.x=20,y=41,z=30
III.x=20,y=42,y=36
A.I only
B.II only
C.III only
D.I​ and II
Answer: C.III only
Explanation: 10 sec answer if you know how to find the units digit of a number
The number given is of the form of square, so calculate the units digit - Here your objective is to find the sum where last digit is 0
x = 20, so x^2 will have units digit 0
y = 42, so y^2 will have units digit 4
z = 36, so z^2 will have units digit 6
Calculate the units digit , the units digit will be 0
Test with options II and I, only option III will satisfy the condition , hence this will be our answer is option C.
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
A.7 1/2 sec
B.7 1/7 sec
C.7 2/2 sec
D.8 1/2 sec
Answer: D.8 1/2 sec
Explanation: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec
Answer: D
Question: Tough and Tricky questions: Combinations.
six contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
A.6
B.7
C.18
D.16
Answer: C.18
Explanation: Four contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
We have 2 slots to be filled using 6 contestants:6 options for slot1*3 option for slot2
= 6* 3
= 18
Ans. C) 18
Question: Pipe A fills a tank of capacity 950 liters at the rate of 40 liters a minute. Another pipe B fills the same tank at the rate of 30 liters a minute. A pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute. If pipe A is kept open for a minute and then closed and pipe B is open for a minute and then closed and then pipe C is open for a minute and then closed and the cycle is repeated, when will the tank be full?
A.57 minutes
B.14 minutes
C.39 minutes
D.40 minutes 20 seconds
Answer: A.57 minutes
Explanation: In one cycle they fill 40+30-20 = 50 liters
950 = 50*n => n = 19
here n = number of cycles.
total time = 19*3 = 57 as in one cycle there are 3 minutes.
thus 57 minutes
ANSWER:A
Question: A certain college party is attended by both male and female students. The ratio of male to female students is 4 to 5. If 9 of the male students were to leave the party, the ratio would change to 1 to 2. How many total students are at the party?
A.46
B.50
C.54
D.58
Answer: C.54
Explanation: The ratio is 4:5 = 8:10, so there are 8k males and 10k females.
If 9 males left, the ratio would be 1:2 = 5:10, so there would be 5k males and 10k females.
8k-5k = 9
k = 3
8k + 10k = 24 + 30 = 54
The answer is C.
Question: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
A.15 kmph
B.11 kmph
C.88 kmph
D.18 kmph
Answer: A.15 kmph
Explanation: 90 * 10/60
= 15 kmph
Answer:A
Question: Robert's salary was decreased by 40% and subsequently increased by 40%. how much percentage does he lose?
A.16%
B.20%
C.25%
D.30%
Answer: A.16%
Explanation: let original salary be $100
Salary after decreasing 40% = 100 - 100 x 40/100 = $60
Salary after increasing 40% on $60 = 60 + 60 x 40/100 = $84
Percentage of loss = 100 - 84 = 16%
Answer : A
Question: Tracy's mum gave her $64 to go shopping. She bought a jumper for $20, a T-shirt for $10, and a pair of shoes for $9. How much money does Tracy have left?
A.$33
B.$54
C.$25
D.$60
Answer: C.$25
Explanation: Step 1: Find the total cost of the clothes.
$20 + $10 + $9 = $39
Step 2: Find the amount of money left.
$64 – $39 = $25
Tracy has $25 left.
Answer is C.
Question: If 8 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes
A.41
B.28
C.43
D.44
Answer: B.28
Explanation: n(n-1)/2 =8*7/2
=28
ANSWER:B
Question: We define that K@J is the product of j number from k in increasing order for positive integers K, J. For example, 6@4=6*7*8*9. If A=2020and B=2120, what is the value R of the ratio A/B?
A.1/2
B.1/3
C.2/3
D.1/4
Answer: A.1/2
Explanation: R-> A/B=20*21*……*39/21*22*….*39*40=20/40=1/2.
Therefore, the answer is A.
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 7m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
A.54
B.32
C.75
D.28
Answer: D.28
Explanation: A/8 = 7 * 7 => A = 7 * 7 * 8
x * 2x = 7* 7 * 8
x = 14 => 2x = 28
Answer:D
Question: A train 150 meters long completely crosses a 320 meters long bridge in 40 seconds. What is the speed of the train is?
A.32
B.42
C.54
D.66
Answer: B.42
Explanation: S = (150 + 320)/40 = 470/40 * 18/5 = 42
Answer: B
Question: If x is a sum of all even integers on the interval 13...63 and y is their number, what is the GCD (x, y)?
A. 1
B. 13
C. 26
D.25
Answer: D.25
Explanation: x = 14 + 16 + ... + 62 = (largest + smallest)/2 *(# of terms) = (14 + 62)/2*25 = 38*25.
GCD of 25 and 39*25 is 25.
Answer: D.
Question: The missing term in the sequence 2, 3, 5, 7, 11, ... 17, 19 is
A.11
B.13
C.15
D.17
Answer: B.13
Explanation: Sequence is contain prime numbers.
Final sequence : 2,3,5,7,11,13,17,19
ANSWER:B
Question: Two employees M and N are paid a total of Rs. 550 per week by their employer. If M is paid 120 percent of the sum paid to N, how much is N paid per week?
A.Rs.220
B.Rs.250
C.Rs.280
D.Rs.300
Answer: B.Rs.250
Explanation: Let the amount paid to M per week = x
and the amount paid to N per week = y
Then x + y = 550
But x = 120% of y = 120y/100 = 12y/10
∴12y/10 + y = 550
⇒ y[12/10 + 1] = 550
⇒ 22y/10 = 550
⇒ 22y = 5500
⇒ y = 5500/22 = 500/2 = Rs.250
B)
Question: A man can do a piece of work in 4 days, but with the help of his daughter, he can do it in 3 days. In what time can his daughter do it alone?
A.12
B.28
C.26
D.19
Answer: A.12
Explanation: Explanation:
Daughter’s 1 day’s work = (1/3 – 1/4) = 1/12
Daughter alone can do the work in 12/1 = 12 days
ANSWER: A
Question: Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajeev joined him with an amount of Rs. 35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev's share in the profit of Rs.1,50,000 earned at the end of 3 years from the start of the business in 1999?
A.50,029
B.50,000
C.50,019
D.50,128
Answer: B.50,000
Explanation: Sekar: Rajeev: jatin = (25000×12+35000×12+45000×12):(35000×24) : (35000×12)
= 1260000 : 840000 : 420000
= 3 : 2 : 1.
Rajeev's Share =Rs.(150000×2/6)
=Rs.50000.
Answer: B
Question: Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 18 times as heavy as water?
A.1:2
B.3:2
C.9:1
D.5:2
Answer: C.9:1
Explanation: G = 19W
C = 9W
Let 1gm of gold mixed with x gm of copper to get 1+x gm of the alloy
1gm gold + x gm copper = x+1 gm of alloy
19W+9Wx = x+1 * 18W
19+9x = 18(x+1)
x = 1/9
Ratio of gold with copper = 1:1/9 = 9:1
Answer is C
Question: What is the greatest positive integer x such that 3^x is a factor of 9^6?
A.5
B.12
C.10
D.20
Answer: B.12
Explanation: What is the greatest positive integer x such that 3^x is a factor of 9^6?
9^6 = (3^2)^6 = 3^12
B. 12
Question: In a certain country, 60 percent of the population likes basketball, and 31 percent of the population likes both basketball and golf. What percentage of the people who like basketball also like golf?
A.20%
B.33%
C.40%
D.52%
Answer: D.52%
Explanation: Correct Answer: (D).
Since this is a percent problem without concrete numbers, we can assign our own. If we assume that there are 100 people in the country, then 60 people like basketball, and 31 people like basketball and golf. We’re looking for people who like both divided by people who like basketball, so 31/60 = 52%, or choice D.
Question: If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 18. By how much do the two digits differ?
A.2
B.3
C.5
D.6
Answer: A.2
Explanation: we are given that if the integer N has its digits reversed the resulting integer differs from the original by 18. First let’s express the reversed number in a similar fashion to the way in which we expressed the original integer.
10B + A = reversed integer
Since we know the resulting integer differs from the original by 18 we can say:
10B + A – (10A + B) = 18
10B + A – 10A – B = 18
9B – 9A = 18
B – A = 2
Since B is the tens digit and A is the units digit, we can say that the digits differ by 2.
The answer is A.
Question: A young and energetic cobbler fixes 3650 pairs of shoes every year, while an old yet experienced cobbler fixes 20% less than the young cobbler. In a shoe factory there are two old and one young cobblers working together. How many shoes can the factory fix every day assuming that there are 365 days a year?
A.26.
B.34.
C.36.
D.44.
Answer: A.26.
Explanation: Number of shoes/day the young cobbler fixes= 3650/365= 10
Number of shoes old cobbler fixes= 3650*80/100
Number of shoes 2 old cobbler fixes in one day= 2* 3650 *80/100 *1/365= 16
Total shoes fixed in one day= 10+16= 26
A is the answer
Question: A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
A.150 m
B.200 m
C.170 m
D.100 m
Answer: D.100 m
Explanation: D
100 m
Relative speed of the thief and policeman = 11 - 10 = 1 km/hr.
Distance covered in 6 minutes = 1/60 * 6 = 1/10 km = 100 m.
Distance between the thief and policeman = 200 - 100 = 100 m
Question: A train of length 250 m crosses a bridge of length 150m in 25 seconds. What is the speed of train?
A.57.6
B.27
C.25
D.22
Answer: A.57.6
Explanation: Sol : (length of train+ length of bridge) = speed of train x Time
(250+150) = 25 x Speed
Speed = 400/25= 16 m/s =57.6 km/h
ANSWER=A
Question: 30% of a number when subtracted from 91, gives the number itself. Find the number
A.60
B.65
C.75
D.70
Answer: D.70
Explanation: Solution: Let the number be x
According to the question,
91 - (30x/100) = x
9100 - 30x = 100x
Or, 9100 = 130x
Or, x = 9100/130
Hence, x = 70.
Answer: Option D
Question: A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is?
A.11.11 km/hr
B.21.11 km/hr
C.71.11 km/hr
D.81.11 km/hr
Answer: C.71.11 km/hr
Explanation: Explanation:
Total time taken = (160/64 + 160/8)hrs
= 9/2 hrs.
Average speed = (320 x 2/9) km.hr
= 71.11 km/hr.
Answer: C
Question: If the average of 10,11,12,13,14,15,16,17,18 and x is 23, what is the value of x?
A.90
B.89
C.123
D.104
Answer: D.104
Explanation: Given (10+11+12+13+14+15+16+17+18+x)/10=23
126+x/10=23
126+x=230
x=230-126
x=104
Answer is D
Question: Mrs. Napier has 67 stickers to give to 9 students for a reward. How many
stickers will each student get? Will there be any stickers left over?
A.2-5
B.7-4
C.2-6
D.2-3
Answer: B.7-4
Explanation: 67/9 = 7 R 4 Mrs. Napier will give each student 7 stickers and there
will be 4 left over.
correct answer B
Question: Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev's share in the profit of Rs.2,40,000 earned at the end of 3 years from the start of the business in 1999?
A.Rs.45,000
B.Rs.80,000
C.Rs.70,000
D.Rs.75,000
Answer: B.Rs.80,000
Explanation: Solution
Sekar:Rajeev:Jatin=	(25000×12+35000×12+45000×12):(35000×24) : (35000×12)
= 1260000 : 840000 : 420000
= 3 : 2 : 1.
Rajeev's share	=Rs.(240000×2/6)
= Rs.80000.
Answer B
Question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 5 times, what is the probability that it will land on either side all 5 times?
A.1/5
B.1/10
C.1/12
D.1/16
Answer: D.1/16
Explanation: Must be either 5 heads or 5 tails
1/2*1/2*1/2*1/2*1/2 + 1/2*1/2*1/2*1/2*1/2
1/32 + 1/32 = 1/16
Answer: D
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
A.30/16 hours
B.30/33 hours
C.38/13 hours
D.40/13 hours
Answer: D.40/13 hours
Explanation: Speed downstream = 20 + 6 = 26 kmph.
Time required to cover 60 km downstream = d/s = 60/26 = 30/13 hours.Answer:D
Question: In a workshop there are 4 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 3 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?
A.168.
B.80.
C.56.
D.48.
Answer: D.48.
Explanation: Bed = Select 1 out of 4 = 4C1 = 4
Shelf = Select 1 out of 2 = 2C1= 2
Chair (3)+ Closet (3) = Total 6 = Select 1 out of 6 = 6C1
Possible combinations to chooseBED*SHELF*(CHAIR+CLOSET)=4*2*6=48 ways
ANSWER IS D
Question: If x is the interest on y and y is the interest on z, the rate and time is the same on both the cases. What is the relation between x, y and z?
A.Y2 = XY
B.Y2 = XX
C.Y2 = XZ
D.Y2 = YZ
Answer: C.Y2 = XZ
Explanation: X = (Y*NR)/100 Y = (Z*NR)/100
X/Y = NR/100 Y/Z = NR/100
X/Y = Y/Z
Y2 = XZ
Answer: C
Question: The floor of a rectangular room is 21 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :
A.124 m2
B.128 m2
C.138 m2
D.148 m2
Answer: D.148 m2
Explanation: Area of the outer rectangle = 25 Ã— 16 = 400 m2
Area of the inner rectangle = 21 Ã— 12 = 252 m2
Required area = (400 â€“ 252) = 148 m2
Answer D
Question: A can do a piece of work in 15 days. A does the work for 5 days only and leaves the job. B does the remaining work in 3 days.In how many days B alone can do the work?
A.5days
B.7 days
C.12 days
D.4.5 days
Answer: D.4.5 days
Explanation: Explanation:
A’s 5 day work = 5*1/15=1/3
Remaining work = 1-1/3=2/3
B completes 2/3 work in 6 days
B alone can do in x days
2/3*x=3
X=4.5 days
Answer: Option D
Question: How many different five letter words can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?
A.59
B.11!/(2!*2!*2!)
C.56
D.23
Answer: C.56
Explanation: E- -R
We are left with the following 11 letters: {M, D, I, T, R, EE, AA, NN} out of which 8 are distinct: {M, D, I, T, R, E, A, N}.
We should consider two cases:
1. If the two middle letters are the same, we'd have 3 words: EEER, EAAR and ENNR.
2. If the two middle letters are distinct, then we are basically choosing 2 letters out of 8 when the order of the selection matters, so it's 8P2 = 56.
Total = 56 + 3 = 56
Answer: C..
Question: what is the least number by which 25,725 must be divided to get a number perfect square
A.21
B.42
C.24
D.40
Answer: A.21
Explanation: 25,725/21=1,225
1,225=(35)^2
Ans-21
ANSWER:A
Question: During a special promotion, a certain filling station is offering a 10 percent discount on gas purchased after the first 6 gallons. If Kim purchased 20 gallons of gas, and Isabella purchased 25 gallons of gas, then Isabella‟s total per-gallon discount is what percent of Kim‟s total per-gallon discount?
A.80%
B.100%
C.109%
D.120%
Answer: C.109%
Explanation: Kim purchased 20 gallons of gas. She paid for 6 + 0.9*14 = 18.6 gallons, so the overall discount she got was 1.4/20 = 7%.
Isabella purchased 25 gallons of gas. She paid for 6 + 0.9*19 = 23.1 gallons, so the overall discount she got was 1.9/25 = 7.6%.
7.6 is 7.6/7*100 = 109% of 7.
Answer: C.
Question: 8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 4 such machines to perform the same job?
A.2.25 hours
B.8.75 hours
C.12 hours
D.14.25 hours
Answer: C.12 hours
Explanation: Let each machine do 1 unit of work for 1 hour
8 machines --> 8 units of work in 1 hour
For 6 hours = 8*6 = 48 Units of total work is done.
Now this 48 Units of total work must be done by 4 machines
4 units of work(4 machines) ---> 1 hour
for 48 Units of work
4*12 ---> 1*12 hours
C 12 hours
Question: In digging a pond 30m*20m*10m the volumes of soil extracted will be ?
A.6500 cu.m
B.5000 cu.m
C.6000 cu.m
D.5200 cu.m
Answer: C.6000 cu.m
Explanation: 30*20*10= 6000Answer :C
Question: How many terms are in the G.P. 3, 6, 12, 24, ......., 192 ?
A.8
B.9
C.67
D.7
Answer: D.7
Explanation: Explanation:
Here a = 3 and r = 6/3 = 2. Let the number of terms be n.
Then, t = 192 => a * r^(n-1) = 192
=> 3 * 2^(n-1) = 192 => 2^(n-1) = 64 = 2^(6)
=> n-1 = 6 => n = 7.
Answer: D
Question: (112 x 5^4) = ?
A.70000
B.80000
C.90000
D.90090
Answer: A.70000
Explanation: (112 x 54) = 112 x 10 4	=	112 x 104	=	1120000	= 70000
2	24	16
A)
Question: Martin buys a pencil and a notebook for 80 cents. At the same store, Gloria buys a notebook and an eraser for 85 cents, and Zachary buys a pencil and an eraser for 45 cents. How many cents would it cost to buy three pencils, three notebooks, and three erasers? (Assume that there is no volume discount.)
A.300
B.315
C.330
D.345
Answer: B.315
Explanation: pencil + notebook = 80
notebook + eraser = 85
pencil + eraser = 45
Let's add all three equations.
2 pencils + 2 notebooks + 2 erasers = 210 cents
The cost to buy 3 of each would be (3/2)(210) = 315
The answer is B.
Question: A speed of 55 metres per second is the same as :
A.150.4 km/hr
B.155 km/hr
C.198 km/hr
D.168.5 km/hr
Answer: C.198 km/hr
Explanation: Sol.
55 m/sec = [55 * 18/5] km/hr = 198 km/hr.
Answer C
Question: An investor receives a total combined return of 7% on his two different investments. On his $30,000 investment he receives a return of 6%. What is the return on his $20,000 investment?
A.7.25%
B.7.5%
C.8%
D.8.5%
Answer: D.8.5%
Explanation: 0.06 * 30000 + 20000x = 0.07(50000)
solving for x give x = 8.5%
option D
Question: A person purchased a TV set for Rs. 2100 and a DVD player for Rs. 300. He sold both the items together for Rs. 3168. What percentage of profit did he make?
A.32%
B.96%
C.40%
D.75%
Answer: A.32%
Explanation: The total CP = Rs. 2100 + Rs. 300
= Rs. 2400 and SP = Rs. 3168
Profit(%)
= (3168 - 2400)/2400 * 100
= 32%
Answer: A
Question: If A's height is 35% less than that of B, how much percent B's height is more than that of A?
A.66.66%
B.66.68%
C.53.84%
D.86.66%
Answer: C.53.84%
Explanation: Excess of B's height over A's = [(35/(100 - 35)] x 100%
= 53.84%
Answer: C)
Question: The sum of four consecutive even numbers is 292. What would be the largest number?
A.33
B.88
C.76
D.123
Answer: C.76
Explanation: Let the four consecutive even numbers be 2(x - 2), 2(x - 1), 2x, 2(x + 1)
Their sum = 8x - 4 = 292 => x = 37
Smallest number is: 2(x +1) = 76.
Answer: C
Question: If P gets 25% more than Q, then by what percent does Q get less than P?
A.45
B.34
C.20
D.76
Answer: C.20
Explanation: Let Q get 1 unit.
25% of 1 unit = 1/4 = 0.25
P gets (1 + 0.25) i.e., 1.25 units.
Difference = (1.25 - 1) = 0.25
Required percentage = 0.25/1.25 * 100 = 1/5 * 100 =20
Answer:C
Question: In an engineering class that contained 125 students, the final exam consisted of 2 questions. Three fifths of the students answered the first question correctly. If four fifths of the remainder answered the second question correctly, how many students answered both questions incorrectly?
A.4
B.6
C.10
D.12
Answer: C.10
Explanation: 1st Question : Three fifths of the students answered the first question correctly - so 3/5âˆ—125=75
2nd Question : four fifths of the remainder answered the second question correctly so 4/5âˆ—(125âˆ’75)=4/5âˆ—50=40
total students who answered at least one Q correct =75+40=115
so students who answered BOTH incorrectly = 125âˆ’115=10
ANSWER:C
Question: Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is
A.Rs 1650
B.Rs 1750
C.Rs 1850
D.Rs 1950
Answer: B.Rs 1750
Explanation: Explanation:
C.I.=(4000×(1+10/100)2−4000)
=4000∗11/10∗11/10−4000=840
So S.I. = 840/2=420
So Sum = S.I.∗100/R∗T=420∗100/3∗8=Rs1750
Option B
Question: If a(a + 2) = 120 and b(b + 2) = 120, where a ≠ b, then a + b =
A.-4
B.-6
C.-2
D.-10
Answer: C.-2
Explanation: i.e. if a = 10 then b = -12
or if a = -12 then b = 10
But in each case a+b = -12+10 = -2
Answer:C
Question: From a pack of 52playing cards, 2cards are drawn togetherat random. Find the probability of both the cards being king?
A.2/218
B.1/213
C.1/221
D.2/215
Answer: C.1/221
Explanation: Two cards can be drawn from a pack of 52 playing cards in 52C2 ways. i,e., 52 x 51 / 2 = 1326 ways. The event that two kings appear in a single drawn of cards is 4C2 ways, i.e 6 ways.
∴ The probability that the two cards drawn from a pack of 52 cards are kings = 6/1326 = 1/221
C
Question: If the length of the sides of two cubes are in the ratio 5:1, what is the ratio of their total surface area?
A.5:1
B.10:1
C.25:1
D.50:1
Answer: C.25:1
Explanation: Let x be the length of the small cube's side.
The total surface area of the small cube is 6x^2.
The total surface area of the large cube is 6(5x)^2=150x^2.
The ratio of surface areas is 25:1.
The answer is C.
Question: In an election, candidate A got 85% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate?
A.355600
B.355800
C.404600
D.356800
Answer: C.404600
Explanation: Total number of invalid votes = 15 % of 560000
= 15/100 × 560000
= 8400000/100
= 84000
Total number of valid votes 560000 – 84000 = 476000
Percentage of votes polled in favour of candidate A = 85 %
Therefore, the number of valid votes polled in favour of candidate A = 85 % of 476000
= 85/100 × 476000
= 40460000/100
= 404600
C)
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12400 after a year?
A.3630
B.2881
C.3720
D.9977
Answer: C.3720
Explanation: 6300:4200:10500
3:2:5
3/10 * 12400 = 3720.Answer: C
Question: A 240 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
A.229
B.144
C.278
D.126
Answer: B.144
Explanation: S = 240/6 * 18/5 = 144 kmph
Answer: B