RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If PINTU is coded as 79523 in a certain code language, how would you code BUNTU in the same language?
A.13426
B.23523
C.13436
D.14263
Answer: B.23523
Explanation: 1 2 3 4 5 6 7 8 9
a b c d e f g h i
j k l m n o p q r
s t u v w x y z
sooo...BUNTU is 23523...
ANSWER:B
Question: A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
A.65 days
B.51 days
C.24 days
D.16 days
Answer: C.24 days
Explanation: 2c = ¼ + 1/6 – 1/3 = 1/12
c = 1/24 => 24 days
Answer: C
Question: A patient was given a bottle of tablets by the doctor and he was asked to take five tablets in a gap of 15 minutes.
In how much time will he be able to take all the five tablets?
A.1 Hour.
B.2 Hour.
C.3 Hour.
D.None
Answer: A.1 Hour.
Explanation: Solution:
1 Hour.
Suppose he takes the first tablet at 12:00 pm. Then the second will be consumed by him at 12:15, third at 12:30, fourth at 12:45 and fifth at 1:00.
Answer A
Question: Matt gets a $1,000 commission on a big sale. This commission alone raises his average commission by $150. If Matt's new average commission is $250, how many sales has Matt made?
A.3
B.4
C.5
D.6
Answer: D.6
Explanation: Let, Average Commission = x
No. of items sold = y
Total Commission = xy
New Commission = xy+1000
New Average = (xy+1000) / (y+1) = 150+x
i.e. (xy+1000) = (y+1)* (150+x)
i.e. (xy+1000) = (xy+x+150y+150)
i.e. (850) = (x+150y)
New Commission = 250 = 150+x
i.e. x=100
i.e. y = 5
New Sales = y+1 = 6
Answer: option D
Question: What is the local value of 6 in the product of face value of 7 and local value of 8 in 7098060
A.60
B.600
C.6000
D.60000
Answer: C.6000
Explanation: (Face value of 7) x (Local value of 8) = 7 x 8000 =56000
Local value of 6 in 56000 = 6000
C
Question: What is the probability that Jasmine and Trish will get selected for a job they both applied for in a company, given that their chances of getting selected is 3/5 and 2/7 respectively?
A.6/37
B.6/35
C.5/36
D.7/33
Answer: B.6/35
Explanation: Explanation:
P(Jasmine) = 3/5
P(Trish) = 2/7
P(E) = P(Jasmine)*P(Trish)
= 3/5 * 2/7
= 6/35
ANSWER: B
Question: Which of the following number is divisible by 24 ?
A.22
B.24
C.26
D.27
Answer: B.24
Explanation: 24 = 3 x8, where 3 and 8 co-prime.
Clearly, 35718 is not divisible by 8, as 718 is not divisible by 8.
Similarly, 63810 is not divisible by 8 and 537804 is not divisible by 8.
Consider option (D),
Sum of digits = (3 + 1 + 2 + 5 + 7 + 3 + 6) = 27, which is divisible by 3.
Also, 736 is divisible by 8.
3125736 is divisible by (3 x 8), i.e., 24.
B
Question: A man swims downstream 16 km and upstream 10 km taking 2 hours each time, what is the speed of the man in still water?
A.7.0
B.8.2
C.6.5
D.7
Answer: C.6.5
Explanation: 16--- 2 DS = 8
? ---- 1
10 ---- 2 US = 5
? ---- 1 M = ?
M = (8 + 5)/2 =6.5
Answer:C
Question: In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 18th board counting from the bottom of the stack. How many boards are in the stack?
A.38
B.36
C.35
D.34
Answer: B.36
Explanation: Counting from the top, after the 20th board, there are 16 boards left to count.
The answer is B.
Question: If X can run 48m and Y 42m, then in a race of 1km, X beats Y by:
A.125m
B.128m
C.121m
D.123m
Answer: A.125m
Explanation: Explanation:
When X runs 48m, Y runs 42m.
Hence, when X runs 1000m, Y runs (1000 * 42) / 48 = 875m
X beats Y by 125m.
ANSWER: A
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 5 minutes, then the area of the park (in sq. m) is:
A.153601
B.153600
C.153602
D.60000
Answer: D.60000
Explanation: Perimeter = Distance covered in 5 min. =(12000/60) x 5m = 1000 m.
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1000 or x = 100.
Length = 300 m and Breadth = 200 m.
Area = (300 x 200) m2 = 60000 m2.
Answer: D
Question: Suhas sold an item for Rs.7500 and incurred a loss of 25%. At what price, should he have sold the item to have gained a profit of 25%?
A.Rs.13800
B.Rs.12500
C.Rs.11200
D.Cannot be determined
Answer: B.Rs.12500
Explanation: Explanation:
255 loss means that Rs.7500 is 75% of CP.
Therefore, CP = 7500x100/75 = Rs.10000.
25% of Rs.10000 = Rs.2500.
To get a gain of 25%, the SP should be = Rs.10000+2500 = Rs.12500
Answer: Option B
Question: A sum of money lent out at S.I. amounts to Rs. 820 after 2 years and to Rs. 1020 after a further period of 4 years. The sum is?
A.s.440
B.s. 500
C.s. 720
D.s. 740
Answer: C.s. 720
Explanation: S.I for 5 years = (1020 - 820) = Rs. 200.
S.I. for 2 years = 200/4 * 2 = Rs. 100.
Principal = (820 - 100) = Rs. 720.
ANSWER:C
Question: If n is a positive integer and 10!=25×7×81×2n10!=25×7×81×2n, what is the value of n?
A.2
B.4
C.5
D.8
Answer: D.8
Explanation: The question simply asks to find the highest power of 2 which divides 10!
So, we need to find the maximum power of 2 as below -
10/2 =5
5/2 = 2
2/1 = 1
Total Powers of 2 is 5+2+1 =8
Answer is definitely (D)
ANSWER:D
Question: A store owner is packing small radios into larger boxes that measure 25 in. by 42 in. by 60 in. If the measurement of each radio is 7 in. by 6 in. by 5 in., then how many radios can be placed in the box?
A.300
B.325
C.400
D.420
Answer: A.300
Explanation: No of radios that can be placed in the box = (25*42*60)/(7*6*5)=300
ANSWER:A
Question: The water from one outlet, flowing at a constant rate, can fill a swimming pool in 6 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 2 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool?
A. 1.5
B. 1.9
C. 2.50
D. 3.21
Answer: A. 1.5
Explanation: Always remember RT=W i.e Rate*Time = Work
Also remember that rate can be added or subtracted. For e.g if A do a work in 2 day and B do a work in 2 day.
They both of them together will do a work in 1 day.
So now your question first determine both outlets rate.
1st outlet rate = 1/6 (R=W/T here W=1 work, T = 6hrs)
2nd outlet rate = 1/2 (R=W/T here W=1 work, T = 2hrs)
Both of them working together rate = 1st outlet rate + 2nd outlet rate = 1/6+1/2 = 4/6=2/3
again apply the formula RT=W
T = W/R = 1/2/3 = 3/2 =1.5
Answer is A.
Question: In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?
A.19
B.41
C.21
D.26
Answer: B.41
Explanation: Number of students who took at least one of the three subjects can be found by finding out A U B U C, where A is the set of those who took Physics, B the set of those who took Chemistry and C the set of those who opted for Math.
Now, AUBUC = A + B + C - (A n B + B n C + C n A) + (A n B n C)
A is the set of those who opted for Physics = 120/2 = 60 students
B is the set of those who opted for Chemistry = 120/5 = 24
C is the set of those who opted for Math = 120/7 = 17.
The 10th, 20th, 30th…… numbered students would have opted for both Physics and Chemistry.
Therefore, A n B = 120/10 = 12
The 14th, 28th, 42nd…. Numbered students would have opted for Physics and Math.
Therefore, C n A = 120/14 = 8
The 35th, 70th …. Numbered students would have opted for Chemistry and Math.
Therefore, A n B = 120/35 = 3
And the 70th numbered student would have opted for all three subjects.
Therefore, AUBUC = 60 + 24 + 17 - (12 + 8 + 3) + 1 = 79.
Number of students who opted for none of the three subjects = 120 - 79 = 41.
ANSWER:B
Question: At Scratch and Dents Rent-a-Car, it costs $34.95 a day plus $0.23 per mile to rent a car. At Rent-a-Lemon, the charge is $25.00 a day plus $1.31 per mile. If you need to rent a car for three days, how many miles (to nearest tenth) must you drive for a car from both agencies to cost the same amount?
A.25.7 Miles
B.26.2 Miles
C.27.6 Miles
D.27.9 Miles
Answer: C.27.6 Miles
Explanation: For SaD:
SaDDaily = $34.95/Day
SaDMile = $0.23/Mile
For RaL:
RaLDaily = $25.00/Day
RaLMile = $1.31/Mile
We want the RaLTotal = SaDTotal, so we get
(RaLDaily * Days) + (RalMile * Miles) = (SaDDaily * Days) + (SaDMile * Miles)
=> Miles = ( (SaDDaily * Days) - (RaLDaily * Days) ) / (RalMiles - SaDMiles) = ((SaDDaily - RaLDaily )* Days) / (RalMiles - SaDMiles)
Miles = (( $34.95 * 3 ) - ( $25.00 * 3 ))/($1.31 - $0.23) = 27.6 Miles
C. 27.6 Miles
Question: What is the largest 4 digit number exactly divisible by 88?
A.9944
B.9999
C.9988
D.9900
Answer: A.9944
Explanation: Explanation :
Largest 4 digit number = 9999
9999 ÷ 88 = 113, remainder = 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944. Answer : Option A
Question: A worker's take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 2 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
A.1/7
B.1/6
C.1/5
D.1/4
Answer: A.1/7
Explanation: Let x be the fraction of her take-home pay that the worker saved.
Let P be the monthly pay.
12xP = 2(1-x)P
12xP = 2P - 2xP
14xP = 2P
x = 1/7
The answer is A.
Question: If $2500 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years?
A.2500 (1.056)(3)
B.2500 (3+1.056)
C.2500 (1.056)^3
D.2500 (1+(0.056)^3)
Answer: C.2500 (1.056)^3
Explanation: the formula is CI=P(1+r/100)^t
in this case i think C is the ans
Question: The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
A.Rs. 8400
B.Rs. 8721
C.Rs. 8856
D.Rs. 8956
Answer: B.Rs. 8721
Explanation: Actual price = 95% of 90% of 85% of Rs. 12000
= 95/100 * 90/100 * 85/100 * 12000 = Rs. 8721.
ANSWER:B
Question: The average weight of 29 students is 28 kg. By the admission of a new student, the average weight is reduced to 27.1 kg. The weight of the new student is
A.22 kg
B.1 kg
C.22.4 kg
D.21 kg
Answer: B.1 kg
Explanation: Exp . The total weight of 29 students = 29* 28
The total weight of 30 students = 30* 27.1
Weight of the new student = ( 30*27.1 – 29*28)
= 813 - 812 = 1
Answer:B
Question: Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
A.13
B.12
C.16
D.18
Answer: B.12
Explanation: :
1/8 + 1/24 = 1/6
6 * 2 = 12.Answer:B
Question: If X boxes of apple juice cost 450 cents, how much will Y boxes cost in dollars?
A.Y*45/x
B.Y*4.5/x
C.Y*4.5/2x
D.2Y*4.5/x
Answer: B.Y*4.5/x
Explanation: X boxes of apple juice cost 450 cents or 4.5 dollars.
cost of apple juice = 4.5/x
Cost of Y apple juices = Y*4.5/x
Hence Answer : B
Question: In a group of cows and chickens, the number of legs was 14 more than twice the number of heads. The number of cows was:
A.8
B.7
C.6
D.5
Answer: B.7
Explanation: Let the number of cows be x and their legs be 4x.
Let the number of chicken be y and their legs be 2x.
Total number of legs = 4x + 2y.
Total number of heads = x + y.
The number of legs was 14 more than twice the number of heads.
Therefore, 2 × (x + y) + 14 = 4x + 2y.
or, 2x + 2y + 14 = 4x + 2y.
or, 2x + 14 = 4x [subtracting 2y from both sides].
or, 14 = 4x – 2x [subtracting 2x from both sides].
or, 14 = 2x.
or, x = 7 [dividing by 2 on both sides].
Therefore, the number of cows = 7.
Answer: B
Question: 18 : 12 seconds :: ? :6 minutes
A.10
B.9
C.20
D.25
Answer: B.9
Explanation: 18*6=12*x
x=9
ANSWER:B
Question: A cistern has three pipes, A, B and C. The pipes A and B can fill it in 8and 16 hours respectively and C can empty it in 12 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
A.6 AM
B.7 AM
C.8 AM
D.5 AM
Answer: A.6 AM
Explanation: 1 to 2 = 1/8
2 to 3 = 1/8 + 1/16 = 3/16
After 3 AM = 1/8 + 1/16 - 1/12 = 5/48
1/8 + 3/16 = 5/16
1 h ---- 5/48
? ----- 5/16
3hours ==> 6 AM
Answer:A
Question: If the price of a certain computer increased 30 percent from c dollars to 351 dollars, then 2c =
A.540
B.570
C.619
D.649
Answer: A.540
Explanation: Before Price increase Price = c
After 30% Price increase Price = c+(30/100)*c= 1.3c = 351 (Given)
i.e. c= 351/1.3 = $270
i.e. 2c = 2*270 = 540
Answer: option A
Question: Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a.
A.loss of Rs. 200
B.loss of Rs. 100
C.profit of Rs. 100
D.profit of Rs. 200
Answer: D.profit of Rs. 200
Explanation: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.
r = 15000(1 - 4/100) = 15000 - 600
m = 8000(1 + 10/100) = 8000 + 800
Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800 = Rs. 200
As this is positive, an overall profit of Rs. 200 was made.
ANSWER:D
Question: Find the greatest number which leaves the same remainder when it divides 25, 57 and 105.
A.18
B.8
C.12
D.16
Answer: D.16
Explanation: 105 - 57 = 48
57 - 25 = 32
105 - 25 = 80
The H.C.F of 32, 48 and 80 is 16.
ANSWER:D
Question: The average salary/head of allthe workers in a workshop is Rs.750, if the average salary/head of 5 technician is Rs.900 and the average salary/head of the rest is Rs.700, the total no. of workers in the work-shop is ?
A.18
B.20
C.22
D.24
Answer: B.20
Explanation: Let the total number of workers be y.So sum of salary for all workers = sum of salary of 5 technician + sum of salary for other y -5 workers.5 x 900 + 700(y -5) = 750 y⇒ 4500 + 700y - 3500 = 750y⇒ 50y = 1000∴ y = 20 So total number of workers = 20B
Question: Two water pumps, working simultaneously at their respective constant rates, took exactly five hours to fill a certain swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the slower pump to fill the pool if it had worked alone at its constant rate?
A.8.5
B.10.5
C.12.5
D.14.5
Answer: C.12.5
Explanation: Let x be the rate of the slower pump. Then 1.5x is the rate of the faster pump.
Both pumps together can fill 1/5 of the pool each hour.
2.5x = 1/5
x = 1/12.5 = 2/25
The slower pump could fill the pool in 25/2 = 12.5 hours.
The answer is C.
Question: Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
A.132
B.77
C.66
D.99
Answer: A.132
Explanation: 2 * 22/7 * 14 = 88
88 * 1 1/2 = Rs.132
Answer: A
Question: How many 8's are there in the following number series which are exactly divisible by its immediately preceding and also exactly divisible by immediately succeeding numbers?
8 2 4 5 1 7 2 8 4 8 4 2 2 8 2 6 9 8 4 5 4 8 3 2 8 4 3 1 8 3
A.1
B.2
C.3
D.4
Answer: D.4
Explanation: 284
484
282
284
ANSWER:D
Question: A batsman in his 17th innings makes a score of 80 and their by increasing his average by 3. What is his average after the 17thinnings?
A.28
B.29
C.30
D.31
Answer: C.30
Explanation: 16x + 80 = 17(x + 3)
x = 27+3=30
ANSWER:C
Question: A rectangular table seats 6 people on each of two sides, with every person directly facing another person across the table. If twelve people choose their seats at random, what is probability that any two of them directly face other?
A.1/11
B.1/8
C.1/7
D.15/56
Answer: A.1/11
Explanation: A B C D E F
------------
| TABLE |
------------
G H I J K L
A to L are 12 people.
Prob to select any 1 person = 1
Prob to select the person opposite to the chosen person = 1/11
For ex. If we select A as the person than prob of choosing G is 1/11.
Hence, answer will be A.
Question: m:n = 5: 8 , n: p = 6 : 7 , m:n:p = ?
A.30 : 48 : 54
B.30 : 48 : 56
C.30 : 48 : 50
D.30 : 48 : 52
Answer: B.30 : 48 : 56
Explanation: m:n = 5: 8
n: p = 6 : 7
m:n:p =30 : 48 : 56
Answer : B
Question: The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.16000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is
A.20
B.21
C.35
D.23
Answer: C.35
Explanation: Solution
Let the toatl number of workers be x.
Then 8000x=(16000 x 7) + 6000 (x -7)
x= 35.
Answer C
Question: Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
A.17 sec
B.18 sec
C.19 sec
D.20 sec
Answer: D.20 sec
Explanation: Relative speed
= (42 + 30) * 5/18 = 4 * 5 = 20 mps.
Distance covered in passing each other
= 120 + 280 = 400 m.
The time required
= d/s = 400/20
= 20 sec.
Answer: D
Question: If the number 451 * 623 is completely divisible by 9, then the smallest whole number in place of * will b
A.4
B.5
C.7
D.6
Answer: D.6
Explanation: Sum of digits = (4 + 5 + 1 + x + 6 + 2 + 3) = (21 + x), which must be divisible by 9.
x = 6.
D)
Question: Find the area of a parallelogram with base 24 cm and height 16 cm.
A.262 cm2
B.384 cm2
C.192 cm2
D.131 cm2
Answer: B.384 cm2
Explanation: Area of a parallelogram = base * height = 24 * 16 = 384 cm2
ANSWER:B
Question: A motorist travel to a place 150 km away at an average speed of 90 km/hr and returns at 30 km/hr.His average speed for the whole journey in km/hr is
A.36km/hr
B.37 km/hr
C.35 km/hr
D.45 km/hr
Answer: D.45 km/hr
Explanation: Explanation:
Average speed will be
2xy/x+y km/hr
= {2(90)(30)}/{90+30} km/hr
= 45 km/hr
Answer: Option D
Question: Light glows for every 21 seconds . How many max. times did it glow between 1:57:58 and 3:20:47 am.
A.380 times
B.236 times
C.382 times
D.392 times
Answer: B.236 times
Explanation: Time difference is 1hr,22min,49sec=4969sec. So, light glows floor(4969/21)=236 times.
ANSWER:B
Question: A bag holds 2 red marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be green?
A.1/10
B.1/5
C.3/10
D.2/5
Answer: C.3/10
Explanation: Given: 2R and 3 G marbles
Required: Probability that 2 marbles removed without replacement are both red
Initially we have to pick one red from a total of 2 red and 3 green marbles
After one red has been picked, we need to pick 1 green from a total of 2 green and 2 red marbles.
P(Both green) = (3/5)*(2/4) = 3/10
Option C
Question: What will be the day of the week 15th August, 2010?
A.Thursday
B.Sunday
C.Monday
D.Saturday
Answer: B.Sunday
Explanation: Explanation :
15th Aug 2010 = (2009 years + period from 1-Jan-2010 to 15-Aug-2010)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)
Number of odd days in the period 2001-2009
= 7 normal years + 2 leap year
= 7 x 1 + 2 x 2 = 11 = (11 - 7x1) odd day = 4 odd day
Days from 1-Jan-2010 to 15-Aug-2010
= 31 (Jan) + 28 (Feb) + 31 (Mar) + 30 (Apr) + 31(may) + 30(Jun) + 31(Jul) + 15(Aug)
= 227
227 days = 32 weeks + 3 day = 3 odd day
Total number of odd days = (0 + 4 + 3) = 7 odd days = 0 odd day
0 odd day = Sunday
Hence 15th August, 2010 is Sunday
Answer : Option B
Question: A is twice as good workman as B, and together they complete a work in 10 days. In how many days can the work be complete by B alone?
A.35 days
B.30 days
C.45 days
D.75 days
Answer: B.30 days
Explanation: B=3A
30 days
B
Question: Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 20 ps per meter is?
A.s.122
B.s.129
C.s.125
D.s.95
Answer: D.s.95
Explanation: 3x * 2x = 3750 => x = 25
2(75 + 20) = 190 m
190 * 1/2 = Rs.95
Answer:D
Question: 36 is divided in 2 parts such that 8 times the first part added to 3 times the second part makes 203. What is the first part?
A.15
B.19
C.23
D.24
Answer: B.19
Explanation: Explanation:
Let the first part be x.
8x + 3 (36 – x) = 203
8x + 108 – 3x = 203
5x + 108 = 203
5x = 95
x = 19
ANSWER: B
Question: A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and one-legged captain) to a nearby port. Altogether, these passengers have 16 heads and 41 legs. How many cats does the ship host?
A.5
B.6
C.4
D.7
Answer: A.5
Explanation: sa's +co +ca +cats = 16. sa's + 1 +1 +cats =16 or sa's +cats =14.
sa's(2) +2 +1 +cats*4 =41 sa's*2 +cats*4 = 38 or sa's +cats*2 =19 or 14-cats +cat*2 =19
then cats =5
A
Question: A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for?
A.12 days
B.12 1/4 days
C.14 days
D.24 1/2 days
Answer: A.12 days
Explanation: Let total money be Rs. x
A's 1 day's wages=Rs.x/21, B's 1 day's wages=Rs.x/28
(A+B)'s 1 day's wages=Rs.(x/21+x/28)=Rs.x/12;
Money is sufficient to pay the wages of both for 12 days.
Correct Option: A
Question: The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 6360, what is the length of the plot in metres?
A.70
B.200
C.300
D.400
Answer: A.70
Explanation: Let length of plot = L meters, then breadth = L - 20 meters
and perimeter = 2[L + L - 20] = [4L - 40] meters
[4L - 40] * 26.50 = 6360
[4L - 40] = 6360 / 26.50 = 240
4L = 280
L = 280/4= 70 meters. Answer: A
Question: A thief steels a car at 3p.m. and drives it at 20kmph. The theft is discovered at 4p.m. and the owner sets off in another car at 40 kmph. When will he overtake the thief?
A.9p.m.
B.9.30p.m.
C.5p.m.
D.6a.m.
Answer: C.5p.m.
Explanation: Suppose the thief overtakes x hours after 6a.m.
Distance covered by the thief in x hrs = distance covered by the owner in (x-1 hours)
20x = 40(x-1)
20x = 40
x = 2 hrs
Thief is overtaken at 5p.m.
Answer is C
Question: In a partnership between A, B and C. A's capital is Rs.6000. If his share of a profit of Rs.700 is Rs.200 and C's share is Rs.130, what is B's capital?
A.Rs.11000
B.Rs.11600
C.Rs.11700
D.Rs.11100
Answer: D.Rs.11100
Explanation: 200 + 130 = 330
700 - 330 = 370
200 ---- 6000
370 ---- ? => 11100
ANSWER:D
Question: The speed at which a boy can row a boat in still water is 36 kmph. If he rows downstream, where the speed of current is 54 kmph, what time will he take to cover 750 metres?
A.29
B.30
C.32
D.34
Answer: B.30
Explanation: Speed of the boat downstream = 36 + 54 = 90 kmph
= 90 * 5/18 = 25 m/s
Hence time taken to cover 750 m = 750/25 = 30 seconds.
Answer: B
Question: If log√8 x = 3×1/3, find the value of x.
A.25
B.32
C.37
D.None of these
Answer: B.32
Explanation: Solution
log√8 x	= 10/3.
x	=( √8)10/3
=2( 3/2×10/3)
=2 5
= 32.
Answer B
Question: If sales tax is reduced from 5% to 4%, then what difference it will make if you purchase an item of
Rs. 1000
A.10
B.20
C.30
D.40
Answer: A.10
Explanation: Explanation:
Clue: Answer will be 5% of 1000 - 4% of 1000
Answer: Option A
Question: The measurements obtained for the interior dimensions of a rectangular box are 50 cm by 50 cm by 75cm. If each of the three measurements has an error of at most 1 centimeter, which of the following is the closes maximum possible difference, in cubic centimeters, between the actual capacity of the box and the capacity computed using these measurements?
A.12,000
B.13,000
C.14,000
D.10,000
Answer: D.10,000
Explanation: The options are well spread so we can approximate.
Changing the length by 1 cm results in change of the volume by 1*50*75 = 3750 cubic centimeters;
Changing the width by 1 cm results in change of the volume by 50*1*75 = 3750 cubic centimeters;
Changing the height by 1 cm results in change of the volume by 50*50*1 = 2500 cubic centimeters.
So, approximate maximum possible difference is 3750 + 3750 + 2500 = 10,000 cubic centimeters.
Answer: D.
Question: What is the remainder when 7^74 - 5^74 is divided by 8?
A.0
B.2
C.0
D.3
Answer: C.0
Explanation: easiest way for me: 7^74 - 5^74 = (49)^37-25^37 = (48+1)^37 - (24+1)^37 -> remainder is 1^37 - 1^37 = 0
Ans : C
Question: 7 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2 candidates. In how many ways can one cast his vote?
A.41
B.42
C.45
D.46
Answer: C.45
Explanation: There are 10 candidates and a voter has to vote for any two of them.
So, the required number of ways is,
= 10C2 = 45.
C