RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The ratio of red boxes to blue boxes in a certain warehouse is 10 to 25. If the number of the red boxes were doubled and the number of blue boxes were increased by 150 the ratio would be halved. How many total boxes are in the warehouse?
A.37
B.74
C.70
D.148
Answer: C.70
Explanation: Ratio = R/B = 10/25 or R = 10/25 B -----------(1)
2R/B+150 = 10/25*1/2 = 1/5 or we can say that 10R=B+150 -------------(2)
solving (1) and (2) we get
B=50 and R = 20
so total boxes is B + R = 50+20=70
Hence C. 70 is the correct answer
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
A.152 m
B.726 m
C.688 m
D.150 m
Answer: D.150 m
Explanation: Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y = x/15
x + 100 / 25 = x / 15
x = 150 m.
Answer:D
Question: A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
A.400
B.540
C.500
D.520
Answer: A.400
Explanation: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (900 + x)/60 = 65/3
x = 400 m.
Answer: Option A
Question: Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 100 milliliters of solution X to create a solution that is 25 percent alcohol by volume?
A.250/3
B.500/3
C.300
D.480
Answer: C.300
Explanation: we know that X is 10% , Y is 30% and W.Avg = 25% . what does this mean with respect to W.Avg technique ?
W.Avg is 1 portion away from Y and 3 portion away from X so for every 1 portion of X we will have to add 3 portions of Y.
If X = 100 then Y = 300
ANSWER:C
Question: There is a sequence A(n) such that A(n+1)=2A(n)-1 and A(1)=3, where n is a positive integer. What is the value of A(34)-A(33)?
A.2^22+1
B.2^23
C.2^23+1
D.2^33
Answer: D.2^33
Explanation: A1= 3
A2= 2*3-1= 5
A3= 2*5-1= 9
A4= 2*9-1= 17
We can notice that there is a squence
A2-A1= 2^1
A3-A2= 2^2
A4-A3= 2^3
Hence A34-A33= 2^33
answer : D
Question: Find the slope of the line perpendicular to the line y = (1/3)x - 7
A.-1
B.-4
C.-3
D.0
Answer: C.-3
Explanation: Two lines are perpendicular if the product of their slopes is equal to -1. The slope of the given line is equal to 1 / 3. If m is the slope of the line perpendicular to the given line, then
m × (1/3) = -1
Solve for m
m = - 3
correct answer C)-3
Question: A’s speed is 21/19 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
A.2/21
B.2/19
C.1/11
D.1/7
Answer: A.2/21
Explanation: Let D be the full distance.
Let x be the fraction of the distance that B runs.
Let v be the speed at which B runs.
The time should be the same for both runners.
Time = D / (21v/19) = xD/v
(19/21)*D/v = x*D/v
x = 19/21
B should have a head start of 2/21 of the full distance.
The answer is A.
Question: Find the area of the quadrilateral of one of its diagonals is 28 cm and its off sets 9 cm and 6 cm?
A.210 cm2
B.150 cm2
C.168 cm2
D.198 cm2
Answer: A.210 cm2
Explanation: 1/2 * 28(9 + 6)
= 210 cm2
Answer: A
Question: The probability that A speaks truth is 4/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
A.18/35
B.19/35
C.19/36
D.18/33
Answer: B.19/35
Explanation: If both agree stating the same fact, either both of them speak truth of both speak false.
Probability = 4/5 * 4/7 + 1/5 * 3/7
= 16/35 + 3/35 = 19/35
Answer: B
Question: Ragav took a bus from home to market, that travels at 40 kmph. While walking back at 4 kmph,
halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in 30 kmph. Find the average speed.
A.6.5 kmph
B.12.0 kmph
C.28.5 kmph
D.18.5 kmph
Answer: B.12.0 kmph
Explanation: Let the distance be 2x(one way)
Time taken by bus = 2x/40, by walking =x/4, by cycling = x/30 hours
:. Average speed = Total Distance/Total time
= 4x / x/20 + x/4 + x/30
= 4 *60 / 3+15+2
= 12.0
ANSWER:B
Question: The largest 4 digit number exactly divisible by 88 is:
A.9944
B.9955
C.9966
D.6677
Answer: A.9944
Explanation: Largest 4-digit number = 9999
88) 9999 (113
88
----
119
88
----
319
264
---
55
---
Required number = (9999 - 55)
= 9944.
Answer:A
Question: Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?
A.4 : 3
B.3 : 2
C.6 : 5
D.7 : 6
Answer: D.7 : 6
Explanation: Let x be the investment of Ravi in 6% and y be in 7%
x(6)(n)/100 = y(7)(n)/100
=> x/y = 7/6
x : y = 7 : 6
ANSWER:D
Question: |x+3| – |2-x| = |8+x| How many solutions will this equation have?
A.0
B.1
C.2
D.3
Answer: C.2
Explanation: You have |x+3| - |4-x| = |8+x|
First, look at the three values independently of their absolute value sign, in other words:
|x+3| - |4-x| = |8+x|
(x+3) - (4-x) = (8+x)
Now, you're looking at x < - 8, so x is a number less than -8. Let's pretend x = -10 here to make things a bit easier to understand.
when x=-10
I.) (x+3)
(-10+3)
(-7)
II.) (4-x)
(4-[-10]) (double negative, so it becomes positive)
(4+10)
(14)
III.) (8+x)
(8+-10)
(-2)
In other words, when x < -8, (x+3) and (8+x) are NEGATIVE. To solve problems like this, we need to check for the sign change.
Here is how I do it step by step.
I.) |x+3| - |4-x| = |8+x|
II.) IGNORE absolute value signs (for now) and find the values of x which make (x+3), (4-x) and (8+x) = to zero as follows:
(x+3)
x=-3
(-3+3) = 0
(4-x)
x=4
(4-4) = 0
(8+x)
x=-8
(8+-8) = 2
C
Question: Which natural number is nearest to 8485, which is completely divisible by 75 ?
A.7845
B.8475
C.2540
D.3520
Answer: B.8475
Explanation: 75) 8485 (113
75
---
98
75
----
235
225
---
10
Required number = (8485 - 10) // Because 10 < (75 - 10)
= 8475.
ANSWER B
Question: For a race a distance of 224 meters can be covered by P in 28 seconds and Q in 32 seconds. By what distance does P defeat Q eventually?
A.26m
B.32m
C.24m
D.28m
Answer: B.32m
Explanation: Explanation:
This is a simple speed time problem. Given conditions:
=>Speed of P= 224/28 = 8m/s
=>Speed of Q=224/32 = 7m/s
=>Difference in time taken = 4 seconds
Therefore, Distance covered by P in that time= 8m/s x 4 seconds = 32 metres
ANSWER: B
Question: A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
A.14000
B.18000
C.19000
D.20000
Answer: A.14000
Explanation: 25*12: 30*12: 35*8
15:18:14
14/47 * 47000 = 14000
ANSWER A
Question: The average of 1st 3 of 4 numbers is 6 and of the last 3 are 3. If the sum of the first and the last number is 13. What is the last numbers?
A.4
B.2
C.6
D.7
Answer: B.2
Explanation: A + B + C = 18
B + C + D = 9
A + D = 13
A – D = 9
A + D = 13
2D = 4
D = 2
ANSWER:B
Question: How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 1 m x 2 m x 20 cm?
A.5600
B.6000
C.237
D.7200
Answer: C.237
Explanation: Number of bricks =Volume of the wall/Volume of 1 brick =	(100 x 200 x 20)/(25 x 11.25 x 6) = 237.
Answer: Option C
Question: A garrison of 2000 men has provisions for 65 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
A.1977
B.1893
C.1979
D.3000
Answer: D.3000
Explanation: 2000 ---- 65
2000 ---- 50
x ----- 20
x*20 = 2000*50
x = 5000
2000
-------
3000
Answer: D
Question: If -3x+5y=48 and 3x-2y=6, what is the product of x and y?
A.252
B.428
C.464.
D.200
Answer: A.252
Explanation: Given -3x+5y=48 ---Eq 1
3x -2y =6 -- Eq 2
Sum both eqns we get 3Y = 54 => Y = 18
Sub 2Y in eq 2 => 3X - 36 = 6.
=> X = 14
Now XY = 14 * 18 = 252
Option A is correct answer.
Question: A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?
A.8 1/2 sec
B.8 1/9 sec
C.8 5/2 sec
D.4 1/2 sec
Answer: A.8 1/2 sec
Explanation: D = 170
S = 72 * 5/18 = 20 mps
T = 170/20 = 8 1/2 sec
Answer:A
Question: There are 10 women and 3 men in Room A. One person is picked at random from Room A and moved to room B, where there are already 3 women and 5 men. If a single person is then to be picked from room B, what is the probability that a woman will be picked?
A.13/21
B.49/117
C.40/117
D.15/52
Answer: B.49/117
Explanation: If M picked from room A, room B probability of picking W is 4/9
If W picked from room A, room B probability of picking W is 3/9
Conditional Probability
P(W in B and M picked in A) = P(W given M picked in A)*P(M picked in A) = 10/13*4/9
P(W in B and W picked in A) = P(W given W picked in A)*P(W picked in A) = 3/13*3/9
Sum 49/117
Ans.B
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
A.22
B.30
C.99
D.77
Answer: B.30
Explanation: Speed of train relative to man = 63 - 3 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 500 * 3/50 = 30 sec.
Answer: B
Question: Solution X is 10% chemical A and 90% chemical B by volume. Solution Y is 20% chemical A and 80% chemical B by volume. If a mixture of X and Y is 12% chemical A, what percent of the mixture is Solution X?
A.80%
B.75%
C.70%
D.65%
Answer: A.80%
Explanation: The volume of the mixture be X+Y.
0.1X +0.2Y=0.12(X+Y)
X=4Y
X/(X+Y)=4/5=80%.
The answer is A.
Question: If xy is an integer, which of the following must also be an integer?
I. x/y
II. y/x
III. y
A.I alone
B.II alone
C.III alone
D.None of the above
Answer: D.None of the above
Explanation: Lets take X = 8/3 and Y = 3/2
Then XY = 4 which is an integer.
But X/Y = 8/3 divided by 3/2 = 16/9 --> Not an integer.
Y/X = 3/2 divided by 8/3 = 9/16 --> Not an integer.
Y alone is 3/2. Not an integer.
Hence D. None of the above.
Question: What will come in place of question mark in the following equation ?
54.(?)3 + 543 + 5.43 = 603.26
A.6
B.1
C.9
D.8
Answer: D.8
Explanation: Explanation:
Let x + 543 + 5.43 = 603.26. Then, x = 603.26 - (543 + 5.43) = 603.26 - 548.43 =54.83
Missing digit = 8.
ANSWER IS D
Question: sonam has 19 penciles,sania has 29 penciles. Totally how many penciles they have in all?
A.48
B.50
C.30
D.60
Answer: A.48
Explanation: 19+29=48. Answer is A
Question: The area of a square is equal to three times the area of a rectangle of dimensions 3 cm * 9 cm. What is the perimeter of the square?
A.30
B.36
C.46
D.66
Answer: B.36
Explanation: Area of the square = s * s = 3(3 * 9)
=> s = 9 cm
Perimeter of the square = 4 * 9 = 36 cm.
Answer: Option B
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
A.89
B.30
C.40
D.50
Answer: B.30
Explanation: Speed of train relative to man = 63 - 3 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 500 * 3/50 = 30 sec.
Answer: Option B
Question: In one NIckel cromium alloy there is 12% chromium while in another alloy it is 8%. 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.
A.8%
B.8.4%
C.8.6%
D.9.2%
Answer: D.9.2%
Explanation: The amount of chromium in the new 15+35=50 kg alloy is 0.12*15+0.08*35=4.6 kg, so the percentage is 4.6/50*100=9.2%.
Answer: D.
Question: (128 ÷ 6.969) - 13% of 1284 = ?
A.17
B.32
C.46
D.54
Answer: A.17
Explanation: Explanation :
1288/7 - 13x1284/100 = 184 - 167 = 17
Answer : Option A
Question: A contractor undertook to do a piece of work in 15 days. He employed certain number of laboures but 5 of them were absent from the very first day and the rest could finish the work in only 20 days. Find the number of men originally employed ?
A.25
B.20
C.19
D.23
Answer: B.20
Explanation: Let the number of men originally employed be x.
15x = 20(x â€“ 5)
or x = 20
Answer B
Question: In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together.
A.720
B.740
C.745
D.750
Answer: A.720
Explanation: 720
Option 'A'
Question: Susan, John, Daisy, Tim, Matt,Lily and Kim need to be seated in 7 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?
A.A)2520
B.B)120
C.C)80
D.D)240
Answer: A.A)2520
Explanation: Total number of arrangements = 7! = 5040
In exactly half, Susan will be to the left of Tim, which gives us 2520 arrangements
Option (A)
Question: Insert the missing number.
8, 7, 11, 12, 14, 17, 17, 22, 27 (....)
A.27
B.23
C.22
D.24
Answer: B.23
Explanation: There are two series (8, 11, 14, 17, 20, 23) and (7, 12, 17, 22, 27) increasing by 3 and 5 respectively.
answer : B
Question: A furniture dealer purchased a desk for $100 and then set the selling price equal to the purchase price plus a markup that was 40% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?
A.40%
B.45%
C.50%
D.55%
Answer: A.40%
Explanation: Anyway, in this question, there is no discount but the mark up is given as 40% of the selling price. So it is not 40% of $100 but instead, 40% of Selling price which is obtained by adding mark up to $100.
So if selling price is S,
100 + 40% of S = S or 100 = 0.6S therefore S = 100/0.6 =
S =
Profit = 100/0.6- 100 which is calculated on cost price in % terms. So 40/100 * 100 = 40% is profit.
A
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
A.5.75
B.5.7
C.5.76
D.5.71
Answer: C.5.76
Explanation: M = 6
S = 1.2
DS = 7.2
US = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
D = 2.88 * 2 = 5.76
Answer: C
Question: In a fuel station the service costs $2.30 per vehicle and every liter of fuel costs $0.70. Assuming that you fill up 4 mini-vans and 2 trucks, what will be the total cost, if a mini-van's tank is 65 liters and a truck's tank is 120% bigger and they are all empty?
A.$396
B.$400
C.$404
D.$408
Answer: A.$396
Explanation: The service cost of 4 vans and 2 trucks is 6*2.30 $13.80
The fuel in 4 vans is 4*65 = 260 liters
The fuel in 2 trucks is 2*65*2.2 = 286 liters
The total fuel (vans + trucks) = 546 liters
The total fuel cost is 546*0.7 = $382.20
The total cost is $382.20 + $13.80 = $396
The answer is A.
Question: How many pieces of 0.63 meteres can be cut from a rod 32.5 meteres long
A.30
B.40
C.51
D.60
Answer: C.51
Explanation: Explanation:
We need so simple divide 32.5/0.63,
=(3250/63) = 51
Option C
Question: A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?
A.4
B.3
C.5
D.2
Answer: A.4
Explanation: 1/7 + 1/14 + 1/28 = 7/28 = 1/4 => 4 days
ANSWER A
Question: Meera purchased two three items from a shop. Shop keeper says for one wallet : Rs.250/- and Shoe : 1250/- Meera give Rs. 2000/- to shop keeper. He paid balance Rs. 750/- to meera. How much she got?
A.250
B.500
C.600
D.350
Answer: A.250
Explanation: Cost of Wallet =250/-
Cost of Shoe = 1250/-
Total cost = 1500/-
amount paid to shop keeper = 2000/-
Balance is : 2000 - 1500 = 500 (250 Balance + 250 additional)
Answer is A
Question: If the average of 5 positive integers is 60 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers?
A.50
B.52
C.49
D.68
Answer: D.68
Explanation: Sum of 5 Integer (a, b, c, d, e) = 5*60 = 300
e - a = 10
i.e. e = a+10
For e to be maximum remaining 4 MUST be as small as possible
Since smallest of 5 numbers is a so to minimize other numbers we can take them equal to the smallest of 5 numbers
i.e. a+a+a+a+(a+10) = 300
i.e. 5a = 290
i.e. a = 58
i.e. Largest e = 58+10 = 68
Answer: option D
Question: Ages of two brothers differ by 14 years. If 12 years ago, the elder one was 3 times as old the younger one, find their present age
A.12,26
B.14,28
C.16,30
D.19,33
Answer: D.19,33
Explanation: Explanation:
Let the age of the younger brother be x,
Then the elder brother's age is (x+14)
=> 3(x-12) = (x+14-12) [12 years before]
=> 3x-36 = x+2
=> x = 19.
So the elder brother's age is x + 14 = 33
Answer: Option D
Question: The measure of the side of a square is multiplied by 7. If x represents the perimeter of the original square, what is the value of the new perimeter?
A.3x
B.4x
C.7x
D.12x
Answer: C.7x
Explanation: Original perimeter = x
Hence original side = x/4
New side = 7x/4
New perimeter = 4*7x/4 = 7x
Correct Option: C
Question: The average age of applicants for a new job is 31, with a standard deviation of 6. The hiring manager is only willing to accept applications whose age is within one standard deviation of the average age. What is the maximum number of different ages of the applicants?
A.8
B.13
C.15
D.18
Answer: B.13
Explanation: within one standard deviation of the average age means 31 +/- 7
25--31--37
number of dif.ages -25 26 27 28 29 30 31 32 33 34 35 36 37
total=13
B
Question: When positive integer n is divided by 2, the remainder is 1. When n is divided by 7, the remainder is 5. What is the smallest positive integer p, such that (n + p) is a multiple of 10?
A.1
B.2
C.5
D.19
Answer: C.5
Explanation: When positive integer n is divided by 2, the remainder is 1 i.e., n=2x+1
values of n can be one of {1, 3, 5, 7, 9, 11, 13, 15, 17,19,..............31, 33,35..................}
Similarly,
When n is divided by 7, the remainder is 5..i.e., n=7y+5
values of n can be one of {5, 12, 19, 26, 33, 40, 47, 54, 61........}
combining both the sets we get
n={19, 52, ...........}
What is the smallest positive integer p, such that (n + p) is a multiple of 21 or 21x
in case of n=5 p=5
so for min value of p, we take min value of n.
C is the answer.
Question: The average of 10 numbers is 40.2. Later it is found that two numbers have been wrongly copied. The first is 14 greater than the actual number and the second number added is 13 instead of 31. Find the correct average.
A.40.2
B.40.4
C.40.6
D.40.8
Answer: C.40.6
Explanation: Sum of 10 numbers = 402
Corrected sum of 10 numbers
= 402 – 13 + 31 – 14 = 406
Hence, new average = 406⁄10 = 40.6
Answer C
Question: A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 1 or 7. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will be able to find the correct number in at most 2 attempts is closest to which of the following?
A.1/8
B.1/16
C.1/32
D.1/64
Answer: C.1/32
Explanation: There are 8*8 = 64 possibilities.
Bob has 2 chances so the probability is 2/64 = 1/32.
The answer is C.
Question: In a certain accounting class of 100 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 65%, and the students on the make-up date had an average score of 95%, what was the average score for the entire class?
A.68%
B.70%
C.72%
D.74%
Answer: D.74%
Explanation: 70% of the class scored 65% and 30% of the class scored 95%.
The difference between 65% and 95% is 30%.
The average will be 65% + 0.3(30%) = 74%.
The answer is D.
Question: (x +1 )(2x - 2)(3x + 3) = ax3+bx2+cx+dax3+bx2+cx+d What are the values of a, b, c and d?
A.2
B.7
C.6
D.1
Answer: C.6
Explanation: (x + 1)(2x - 2)(3x + 3) = ax3+bx2+cx+dax3+bx2+cx+d
6(x + 1)(x - 1)(x + 1) = ax3+bx2+cx+dax3+bx2+cx+d
6(x2x2 - 1)(x + 1) = ax3+bx2+cx+dax3+bx2+cx+d
⇒6(x3+x2−x−1)⇒6(x3+x2−x−1) = ax3+bx2+cx+dax3+bx2+cx+d
⇒6x3+6x2−6x−6⇒6x3+6x2−6x−6 = ax3+bx2+cx+dax3+bx2+cx+d
Equating the coefficients of like learns on both the sides, a = 6, b = 6, c = -6 and d = -6.
Answer:C
Question: The side of a square is increased by 25% then how much % does its area increases?
A.56.26
B.56.25
C.56.21
D.56.28
Answer: B.56.25
Explanation: a = 100 a2 = 10000
a = 125 a2 = 15625
----------------
10000 --------- 5625
100 -------? => 56.25 %
Answer: B
Question: Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one's annual income to the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in Country R's currency, for a person in that country whose annual income is Q?
A.50+Q/200
B.50+3Q/100
C.50+Q/40
D.100+Q/50
Answer: C.50+Q/40
Explanation: 50+Q/40=C
Question: If the average (arithmetic mean) of the four numbers 3, 25, 52, and (N + 1) is 50, then N =
A. 119
B. 120
C. 121
D. 122
Answer: A. 119
Explanation: 3+25+52+N+1= 50 x 4 = 200
=>N +81 = 200
=>N=119
Answer A
Question: Set S = {1, 2, 3, 4, 5, 6, 7, x}
If x is an integer, which of the following could be the median of Set S?
A.3.75
B.4.25
C.4.5
D.5
Answer: C.4.5
Explanation: Median = 4+5/2 = 4.5
Hence, Answer will be (C) 4.5
Question: What is the sum of the different positive prime factors of 450?
A.10
B.11
C.15
D.16
Answer: A.10
Explanation: 450
45*10 --> 5*3*3*2*5 --> 5+3+2=10. Remember its asking for the DIFFERENT positive prime factors of 450.
A
Question: Find the value of x. (47% of 1442 - 36% of 1412) + 63 = x?
A.1
B.5
C.3
D.6
Answer: C.3
Explanation: C) 3
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 750 grams per kg, what is his percent?
A.25%
B.33%
C.29%
D.55%
Answer: B.33%
Explanation: 750 --- 250
100 --- ? => 33.33%
Answer: B
Question: A tradesman by means of his false balance defrauds to the extent of 45%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
A.110.25%
B.99.5%
C.84.5%
D.24.75%
Answer: A.110.25%
Explanation: g% = 45 + 45 + (45*45)/100
= 110.25%
Answer: A
Question: The ratio between the length and the breadth of a rectangular park is 2 : 3 If a man cycling along the boundary of the park at the speed of 10 km/hr completes one round in 18 min, then the area of the park (in sq. m) is?
A.3000 m
B.9000 m
C.540000 m
D.10000 m
Answer: C.540000 m
Explanation: Perimeter = Distance covered in 8 min. = (10000 x 18)/60 m = 3000 m.
Let length = 2x metres and breadth =3x metres.
Then, 2(2x + 3x) = 3000 or x = 300.
Length = 600 m and Breadth = 900m.
Area = (600 x 900) m2 = 540000 m
C
Question: A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?
A.10
B.99
C.88
D.66
Answer: A.10
Explanation: 1/6 – 1/15 = 1/10 => 10
Answer:A
Question: At a certain university, the ratio of the number of teaching assistants to the number of students in any course must always be greater than 3:50. At this university, what is the maximum number of students possible in a course that has 5 teaching assistants?
A.80
B.81
C.82
D.83
Answer: D.83
Explanation: (5/3)*50=83 plus remainder
The answer is D.
Question: If point A coordinates are (-7, -3) point B coordinates are (8 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.
A.(-2, - 2/3)
B.(2, -2/3)
C.(2/3, -2)
D.(0, 2)
Answer: A.(-2, - 2/3)
Explanation: coordinates of A (-7; -3)
coordinates of B (8; 4)
since, line AB consists of three equal segments:
-7 + 3m = 8 hence, m = 5
-3 + 3n = 4 hence, n = 7/3
x-coordinate of C = x-coordinate of A + m = -7 + 5 = -2
y-coordinate of C = y-coordinate of A + n = - 3 + 7/3 = - 2/3
Answer A
Question: If a, b, and c are consecutive odd positive integers and a<b<c, which of the following must be true?
I. at least one of the three numbers is prime
II. ab>c
III. a + b + c = 3b
A.III only
B.I and II only
C.I and III only
D.II and III only
Answer: A.III only
Explanation: The Case 91,93,95 where there are no prime nos. is tested here.
as their is only one prime number between 90 to 99 ie 97.
And hence option A
Question: Find the amount on Rs.5000 in 2 years, the rate of interest being 5% per first year and 6% for the second year?
A.3377
B.2678
C.5565
D.1976
Answer: C.5565
Explanation: 5000 * 105/100 * 106/100 => 5565
Answer: C