RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?
A.12
B.15
C.19
D.20
Answer: B.15
Explanation: Let the present ages of Arun and Deepak be 4x years and 3x years respectively. Then,
4x + 6 = 26 4x = 20
x = 5.
Deepak's age = 3x = 15 years.
Ans-B
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?
A.17/65
B.17/29
C.17/21
D.P(EᴜP) =17/20
Answer: D.P(EᴜP) =17/20
Explanation: n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = 8 = n(P)
P(EᴜP) = 10/20 + 8/20 - 1/20 = 17/20.Answer:D
Question: A person bought 129 glass bowls at a rate of Rs. 11 per bowl. He sold 118 of them at Rs. 15 and the remaining broke. What is the percentage gain for A?
A.40
B.2900/129
C.2430/70
D.2791/11
Answer: B.2900/129
Explanation: CP=129*11=1419 and SP=118*15=1770
Gain %= 100*(1770-1419)/1419= 2900/129
ANSWER:B
Question: 14, 28, 20, 40, 32, 64, ?
A.56
B.46
C.58
D.48
Answer: A.56
Explanation: This is an alternating multiplication and subtracting series with a pattern x2, -8, x2, -8.
Answer : A.
Question: If the sum of a number and its square is 182, what is the number?
A.13
B.26
C.39
D.45
Answer: A.13
Explanation: Solution
Let the number be x.
Then, x + x2 = 182	‹=›x2 + x - 182 = 0
‹=›(x + 14) (x - 13) = 0.
‹=›x = 13.
Answer A
Question: Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively
A.19
B.17
C.13
D.15
Answer: B.17
Explanation: Explanation:
Trick is HCF of (400-9, 435-10, 541-14)
HCF of (391, 425, 527) = 17
Option B
Question: The population of a bacteria culture doubles every 1 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria
A.9
B.12
C.14
D.16
Answer: A.9
Explanation: This one's easy.
1000 * 2^t = 500,000
2^t = 500
Now gauging, since 2^8 = 256, then 2^9 = 512
So t = 9
But be careful, 't' is in time intervals of 1 minutes
So answer is 9*1 = 9 minutes
Answer (A)
Question: A certain business produced x rakes each month form November through February and shipped x/2 rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.40 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months form November through October?
A.0.40x
B.1.20x
C.5.60x
D.1.60x
Answer: C.5.60x
Explanation: because we have a total of 4X
Also from Mar- Oct the rakes will be deducted by 1/8 X
so
In Apr they pay for the storage 0.4 * 4X * 7/8
In May they pay for the storage 0.4 * 4X * 6/8
In Jun they pay for the storage 0.4 * 4X * 5/8
In Jul they pay for the storage 0.4 * 4X * 4/8
In Aug they pay for the storage 0.4 * 4X * 3/8
In Sep they pay for the storage 0.4 * 4X * 2/8
In Oct they pay for the storage 0.4 * 4X * 1/8
total = 0.4 * 4X * 1/8 * [ 1+2+3+4+5+6+7]
= 0.4 * X/2 * (28)
= 5.6X
(C)
Question: The function g(x)g(x) is defined as the greatest integer less than or equal to xx, while the function h(x)h(x) is defined as the least integer greater than or equal to xx. What is the product g(1.7)×h(2.3)×g(−1.7)×h(−2.3)?
A.6
B.9
C.12
D.16
Answer: C.12
Explanation: g(x) is round down to nearest integer unless its an integer already
h(x) is round up to nearest integer unless its an integer already
so we have
(1)(3)(-2)(-2) as our equation, negative x negative cancels so 3 x 2 x 2 = 6 x 2 = 12.
ANSWER:C
Question: Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 12 seconds. The length of the faster train is
A.80 m
B.270 m
C.120 m
D.180 m
Answer: B.270 m
Explanation: Solution
Relative Speed	= (36 + 45) km/hr
= (81 x 5/18) m/sec
= (45/2) m/sec
Length of the train	= (45 / 2 x 12) m
= 270 m.
Answer B
Question: What is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular hexagon?
A.1/4
B.1/3
C.1/2
D.2/3
Answer: D.2/3
Explanation: It has two vertices on sides, which do not make a diagonal but a side..
So remaining 3 vertices make diagonals... only the opposite vertex will make largest diagonal and other TWO smaller ones..
So prob =2/(2+1)=2/3
Answer:D
Question: P and Q can do a work in 30 days. Q and R can do the same work in 24 days and R and P in 20 days. They started the work together, but Q and R left after 10 days. How many days more will P take to finish the work?
A.10
B.15
C.18
D.20
Answer: C.18
Explanation: Let work done by P in 1 day = p,
Work done by Q in 1 day = q,
Work done by R in 1 day = r
p + q = 1/30
q + r = 1/24
r + p = 1/20
Adding all the above, 2p + 2q + 2r = 1/30 + 1/24+ 1/20 = 15/120 = 1/8
=> p + q + r = 1/16
=> Work done by P,Q and R in 1 day = 1/16
Work done by P, Q and R in 10 days = 10 × (1/16) = 10/16 = 5/8
Remaining work = 1 = 5/8 = 3/8
Work done by P in 1 day = Work done by P,Q and R in 1 day - Work done by Q and R in 1 day
= 1/16 – 1/24 = 1/48
Number of days P needs to work to complete the remaining work = (3/8) / (1/48) = 18
Option C
Question: For which of the following functions does f(−k)=−f(k) for all real number values of x?
A.k^8
B.−k^6
C.k^5/k^7
D.k^9
Answer: D.k^9
Explanation: f(-k) = (-k)^9 = -k*k^8
-f(u) = -u^9
D
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 60 ps per meter is?
A.287
B.369
C.150
D.279
Answer: C.150
Explanation: 3x * 2x = 3750 => x = 25
2(75 + 50) = 250 m
250 * 0.60
= Rs.150
Answer:C
Question: A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 4:3. The ratio of economy cars to sport utility vehicles is 6:5. What is the ratio of luxury cars to sport utility vehicles?
A.9:10
B.8:9
C.3:2
D.2:3
Answer: A.9:10
Explanation: The ratio of economy to luxury cars is 4:3 --> E:L = 4:3 = 24:18.
The ratio of economy cars to sport utility vehicles is 6:5 --> E:S = 6:5 = 24:20.
Thus, L:S = 18:20 = 9:10.
Answer: A.
Question: Simplify 586645 * 9999
A.5865863355
B.5665863355
C.4865863355
D.4665863355
Answer: A.5865863355
Explanation: Explanation:
Although it is a simple question, but the trick is to save time in solving this.
Rather than multiplying it we can do as follows:
586645 * (10000 - 1) = 5866450000 - 586645 = 5865863355
Answer: Option A
Question: The income of a broker remains unchanged though the rate of commission is increased from 4% to 5%. The percentage of slump in business is :
A.8%
B.1%
C.20%
D.80%
Answer: C.20%
Explanation: Explanation:
Let the business value changes from x to y.
Then, 4% of x = 5% of y or 4/100×x=5/100×y
or y = 4/5x
Change in business = (x−4/5x)=1/5x
Percentage slump in business
= (1/5x×1/x×100)%
Correct Option: C
Question: A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
A.8 sec
B.6 sec
C.3 sec
D.9 sec
Answer: B.6 sec
Explanation: Speed of train relative to man = (60 + 6) km/hr
= 66 km/hr
[66 * 5/18] m/sec
=[55/3] m/sec.
Time taken to pass the man
= [110 * 3/55] sec
= 6 sec
Answer:B
Question: What is the ratio of 5/7 to the product 3*(7/3)?
A.3:7
B.1:3
C.5:49
D.1:7
Answer: C.5:49
Explanation: 3/7 / 21/3 = 5/49...
IMO option C.
Question: Look at this series: 1000, 200, 40, ... What number should come next?
A.8
B.10
C.15
D.20
Answer: A.8
Explanation: 1000/5=200
200/5=40
40/5=8
ANSWER:A
Question: A person walking at 10 Kmph reaches his office 10 minutes late. If he walks at 15 Kmph, he reaches there 10 minutes earlier. How far is the office from his house?
A.5km
B.15km
C.8km
D.10km
Answer: D.10km
Explanation: Formula = S1*S2/S2-S1 * T1+T2/60
= 10*15/5 * 20/60
= 30 * 20/60
= 10 km
Answer is D
Question: Sixty men can stitch 200 shirts in 30 days working 8 hours a day. In how many days can 45 men stitch 300 shirts working 6 hours a day?
A.33
B.77
C.33
D.80
Answer: D.80
Explanation: We have M1 D1 H1 / W1 = M2 D2 H2 / W2 (Variation rule)
(60 * 30 * 8)/ 200 = (45 * D2 * 6) / 300
D2 = (60 * 30 * 8 * 300) / (200 * 45 * 6) => D2 = 80.
Answer:D
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is:
A.700
B.780
C.760
D.750
Answer: D.750
Explanation: Speed = [90 * 5/18] m/sec = 25 m/sec; Time = 1 min. = 60 sec.
Let the length of the train and that of the platform be x meters.
Then, 2x/60 = 25 è x = 25 * 60 / 2 = 750
Answer: Option D
Question: The volume of a cube is 1728 cc. Find its surface.
A.864
B.277
C.299
D.268
Answer: A.864
Explanation: a3 = 1728 => a = 12
6a2 = 6 * 12 * 12 = 864
Answer: A
Question: A is twice as good workman as B, and together they complete a work in 3 days. In how many days can the work be complete by B alone?
A.35 days
B.65 days
C.9 days
D.75 days
Answer: C.9 days
Explanation: B=3A
9 days
C
Question: The sum of three integers A, B and C is 240. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C?
A.120
B.130
C.125
D.140
Answer: D.140
Explanation: A is one third of the sum of B and C..
or A=1/3(B+C)...
But A+B+C=240
so 1/3(B+C)+B+C=240
4(B+C)/3= 240
B+C =240*3/4 = 180
A=240-180=60
2)B is one fifth of the sum of A and C
or B=1/5(A+C)...
But A+B+C=240
so 1/5(A+C)+A+C=240
A+C=240*5/6=200
but A=60, so C=200-60=140
Answer :D
Question: Solve
(x-a)*(x-b)*(x-c)*...........(x-z)=?
A.-1
B.0
C.1
D.2
Answer: B.0
Explanation: (x-a)*(x-b)*(x-c)*...........(x-z)
= (x-a)*(x-b)*(x-c)*...........(x-x)*(x-y)*(x-z)
since (x-x)=0 so, whole product is zero
(x-a)*(x-b)*(x-c)*...........(x-z )= 0
ANSWER:B
Question: The water from one outlet, flowing at a constant rate, can fill a swimming pool in 5 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 3 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool?
A. 0.22
B. 1.87
C. 2.50
D. 3.21
Answer: B. 1.87
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 = 1/5 (R=W/T here W=1 work, T = 5hrs)
2nd outlet rate = 1/3 (R=W/T here W=1 work, T = 3hrs)
Both of them working together rate = 1st outlet rate + 2nd outlet rate = 1/5+1/3 = 8/15
again apply the formula RT=W
T = W/R = 1/8/15 = 15/8 =1.87
Answer is B.
Question: In a game of 100 points, A can give B 10 points and C 15 points. then how many points can B give C in a game of 70?
A.4.89
B.3.89
C.1.89
D.11.89
Answer: B.3.89
Explanation: In a game of 100 points,A give B 10 points and c 15 points means B=90,C=85
In 90 points B give 5 since 90-85=5
In 70 points B gives=70*5/90=3.89
ANSWER:B
Question: If it is true that x > -3 and x < 7, which of the following must be true?
A.x > 3
B.x < -7
C.x < 3
D.-3 < x < 7
Answer: D.-3 < x < 7
Explanation: the range is -3 < x < 7
A. x > 3 - no because x can be between -3 < x < 3
B. x < -7 - no because the values of x are always >-7
C. x < 3 - no because x can be between 3 < x < 7
D. -3 < x < 7 - true because x can be between -3 < x < 7
E. none of the above.
Answer: D
Question: A certain football coach allows his quarterback to call three plays in a row. If the quarterback can choose from 3 passing plays, 4 running plays, and 2 trick plays, how many different R arrangements of plays can be run, if the same play can’t be run more than once?
A.24
B.125
C.243
D.504
Answer: D.504
Explanation: Number of R ways to choose the first play: 9
Second play: 8
Third:7
9*8*7= 504.D
Question: The area of a square is equal to five times the area of a rectangle of dimensions 27 cm * 16 cm. What is the perimeter of the square?
A.140
B.240
C.340
D.144
Answer: D.144
Explanation: Area of the square = s * s = 3(27 * 16)
=> s = 9 * 4 = 36 cm
Perimeter of the square = 4 * 36 = 144 cm.
Answer: D
Question: How many 7 digit number are there having the digit 3 three times & the digit 0 four times ?
A.15
B.3^3 * 4^4
C.18
D.19
Answer: A.15
Explanation: The first digit on the left for 7 digit would always be fixed to 3 (as 0 as first digit will no longer makes it a 7 digit number).
So we are left with 6 places to be filled by number 3 two times and number 2 four time.
So possible arrangements at 6 place for repetitive numbers would be = 6! / 4!*2! = 15
ANSWER:A
Question: If 60% of a number is equal to one half of another number, what is the ratio of first number to the second number?
A.4:5
B.5:6
C.6:5
D.5:4
Answer: B.5:6
Explanation: Let 60% of A = 1/2 B. Then,
60A/100 = 1B/2 => 3A/5 = 1B/2
A/B = (1/2 * 5/3) = 5/6
A:B = 5:6.
Answer: B
Question: How much is 80% of 40 is greater than 4/5 of 30?
A.12
B.27
C.8
D.12
Answer: C.8
Explanation: (80/100) * 40 â€“ (4/5) * 30
32 - 24 = 8
Answer:C
Question: A recipe requires 2 1/2 (mixed number) cups of flour 2 3/4 (mixed number) cups of sugar and 1 1/3 (mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the greatest number of cakes Bil can make using this recipe?
A.5
B.6
C.7
D.8
Answer: A.5
Explanation: Less work up front: Go through each item and see what the greatest number of cakes you can make with each. The lowest of these will be the right answer.
Flour: 15 cups, we need 2.5 cups each. Just keep going up the line to see how many cakes we can make: That means I can make 2 cakes with 5 cups, so 6 cakes overall with 15 cups. I've already got the answer narrowed to either A or B.
Sugar: 16 cups, we need 2.75 cups each. Same principle. I can make 2 cups with 5.5 cups, so to make 6 cakes I'd need 16.5 cups. I don't have that much sugar, so we're limited to 5 cakes. No need to even do milk because we're already at 5. Sugar will be the limiting factor.
answer is A
Question: If n is an even integer, which of the following must also be an even integer?
A.n^2 + 1^2
B.(n+1)^2
C.n + 1
D.3n + 1
Answer: B.(n+1)^2
Explanation: Answer: B
A: 2n = odd
B: -2n + 1 = even
C: -(n^2) = odd
D: 2n - 1 = odd
E: n^3 = odd
Answer: B
Question: Nitin ranks 23th in a class of 60 students. What is rank from the last ?
A.33
B.38
C.32
D.28
Answer: B.38
Explanation: Explanation:
Number students behind the nitin in rank = (60 - 23) = 37
Nitin is 38nd from the last
Answer: B) 38
Question: Speed of a boat in standing water is 9 kmph and the speed of the stream is 6 kmph. A man rows to place at a distance of 210 km and comes back to the starting point. The total time taken by him is:
A.92 hours
B.24 hours
C.84 hours
D.48 hours
Answer: C.84 hours
Explanation: Sol.
Speed upstream = 3 kmph; Speed downstream = 9 kmph.
∴ total time taken = [210/3 + 210/9] hours = 84 hours.
Answer C
Question: If ( log 5 5) (log 4 9) (log 3 2) is equal to
A.1
B.3/2
C.2
D.5
Answer: A.1
Explanation: Solution
Given expression	=log 9/log 4 ×log 2/log 3
‹=› log 3²/log 2²×log 2/log 3
= 2 log 3/ 2 log 2×log 2/log3
= 1.
Answer A
Question: John has taken four (4) tests that have an average of 84. In order to bring his course grade up to a ‘B’, he will need to have a final average of 87. What will he need to average on his final two tests to achieve this grade?
A.87
B.93
C.92
D.94
Answer: B.93
Explanation: Traditional Method:
Total scored till now 84*4=328
Total score to avg 87 in 6 tests = 87*6=522
Total to be scored on 2 tests = 522-336=186
Avg on 2 tests = 186/2 = 93
Answer: B
Question: A right triangle ABC has to be constructed in the xy-plane so that the right angle is at A and AB is parallel to x axis. The coordinates of A, B and C are to satisfy the inequalities -1 ≤ x ≤ 7 and 1 ≤ y ≤ 7. The numbers of different triangles that can be constructed with these properties are?
A.63
B.336
C.567
D.3024
Answer: D.3024
Explanation: Choose the (x,y) coordinates for vertex A (right angle): 9C1*7C1;
Choose the x coordinate for vertex B (as y coordinate is fixed by A): 8C1, (9-1=8 as 1 horizontal dot is already occupied by A);
Choose the y coordinate for vertex C (as x coordinate is fixed by A): 6C1, (7-1=6 as 1 vertical dot is already occupied by A).
9C1*7C1*8C1*6C1=3024.
Answer: D.
Question: At what rate percent on simple interest will Rs.1500 amount to Rs.2000 in 5 years?
A.8.33 %
B.3 6/7 %
C.2 6/7 %
D.5 %
Answer: A.8.33 %
Explanation: Explanation:
500 = (1500x5xR)/100
R = 8.33 %
Answer: Option A
Question: How many numbers from 2 to 7 are exactly divisible by 2?
A.3
B.4
C.5
D.8
Answer: A.3
Explanation: 2/2 = 1 and 7/2 = 3
3 - 1 = 2
2 + 1 = 3 Numbers
A)
Question: A and B started a business investing Rs. 90,000 and Rs 25,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively?
A.9:2
B.3:2
C.18:20
D.18:5
Answer: D.18:5
Explanation: A: B = 90000 : 25000
= 90 : 25
= 18 : 5
ANSWER:D
Question: How many integers between 500 and 1000 are there such that their unit digit is even?
A.250
B.150
C.500
D.100
Answer: A.250
Explanation: 500 numbers between - 500 and 1000
Out of which half would be even, half odd.
Number of even unit digit number = 250.
correct option is A
Question: A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?
A.16
B.15
C.17
D.888
Answer: B.15
Explanation: CP of 20 dozen of bananas = 15 * 20 = Rs. 300
Number of bananas which are rotten = 1/4 * 20 = 5 dozen.
SP of two-third of remaining bananas = (2/3 * 15) * 22.5 = Rs. 225
SP of remaining 5 dozens of bananas to make no profit and no loss =(300 - 225) = Rs. 75.
SP of 1 dozen bananas = 75/5 = Rs. 15.
Answer: B
Question: What is the probability of getting a sum 9 from two throw of a dice?
A.1/6
B.1/8
C.1/9
D.1/12
Answer: C.1/9
Explanation: In two throws of die, n(S)=36
Let E =event of getting a sum 9
={(3,6), (4,5),(5,4),(6,3)}
P(E)=4/36=1/9
ANSWER C 1/9
Question: The length of a rectangular garden is three times its width. If the area of the rectangular garden is 507 square meters, then what is the width of the rectangular garden?
A.10
B.11
C.12
D.13
Answer: D.13
Explanation: Let x be the width of the garden.
3x^2 = 507
x^2 = 169
x = 13
The answer is D.
Question: The goalkeeper of a Hockey team is 31 years old and the captain is 4 years older and the team size is 11. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
A.28.5 years
B.24 years
C.25 years
D.none of the above
Answer: A.28.5 years
Explanation: Explanation :
Let the average age of the whole team by x years.
=> 11x - (31 + 35) = 9(x -1)
=> 11x - 9x = 57
=> 2x = 57
=> x = 28.5.
So, average age of the team is 28.5 years.
Answer : A
Question: The difference between compound interest and simple interest on a sum for 3 years at 10% p.a. is Rs.124 Find the sum.
A.Rs.5000
B.Rs.4000
C.Rs.6000
D.Rs.8000
Answer: B.Rs.4000
Explanation: For 3 years, we know
C.I-S.I= p(R/100)^3+3(R/100)^2
so, putting all values we have,
124=p((10/100)^3+3(10/100)^2)= 4000
ANSWER:B
Question: Points X, Y, and Z lie, in that order, on a straight railroad track. The distance from point X to point Y is twice the distance from point Y to point Z. A train traveled from point X to point Z without stopping. The train's average speed when traveling from point X to point Y was 100 miles per hour and the train's average speed when traveling from point Y to point Z was 75 miles per hour. What was the train's average speed, in miles per hour, when traveling from point X to point Z?
A.90
B.85
C.85.5
D.70
Answer: A.90
Explanation: Average speed = distance/time
Because we are looking for average speed we can pick a distance for the variable D.
Speed X-Y = 100
Speed Y-Z = 75
Average Speed = total distance/total rate
rate = distance/time
X====================Y==========Z
If X-Y is twice the length of Y-Z then let X-Y = 2d and let Y-Z= d
Average speed = 3d/(2d/100) + (d/75)
3d/(6d/300) + (4d/300)
3d/(10d/300)
900d/10d
Average speed = 90
ANSWER: A
Question: The mass of 1 cubic meter of a substance is 700 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
A.0.8
B.1.42
C.8.0
D.12.5
Answer: B.1.42
Explanation: Density is mass divided by volume. So density of the given substance will be mass/volume=700kg/1m^3=700 kg/m^3 or 1g/1.42cm^3=0.7 g/cm^3.
Next, ask yourself if 700,000 g is equivalent to 1,000,000 cubic centimeters then 1 g is equivalent to how many cubic centimeters? --> 1 g - 1,000,000/700,000 = 10/8 = 1.42 cubic centimeters.
Answer is B
Question: An engagement team consists of a project manager, team leader, and four consultants. There are 2 candidates for the position of project manager, 3 candidates for the position of team leader, and 9 candidates for the 4 consultant slots. If 2 out of 9 consultants refuse to be on the same team, how many different teams are possible?
A.540
B.630
C.740
D.820
Answer: B.630
Explanation: Answer= Total number combinations - Total number of combinations with constraints
Total number of combinations = 2C1*3C1*9C4= 756
Total number of combinations with constraints = 2C1*3C1*7C2=126
Answer=756-126=630
ANSWER: B
Question: If the number 5 * 2 is divisible by 6, then * = ?
A.2
B.3
C.5
D.6
Answer: A.2
Explanation: 6 = 3 x 2. Clearly, 5 * 2 is divisible by 2. Replace * by x.
Then, (5 + x + 2) must be divisible by 3. So, x = 2.
ANSWER A
Question: Three partners A, B, C in a business invested money such that 3(Aâ€™s capital) = 6(Bâ€™s capital) = 9(Câ€™s capital) then, The ratio of their capitals is
A.63 : 45 : 34
B.6 : 3 : 2
C.36 : 54 : 28
D.63 : 45 : 35
Answer: B.6 : 3 : 2
Explanation: Explanation:
Let3(Aâ€™s capital) = 6(Bâ€™s capital) = 9(Câ€™s capital) = Rs.x
Then, Aâ€™s capital = Rs x/3, Bâ€™s capital = Rs. x/6 and Câ€™s capital = Rs. x/9.
A : B : C = x/3 : x/6 : x/9
6 : 3 : 2
Answer: Option B
Question: What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12 p.c.p.a.?
A.Rs. 9000.30
B.Rs. 9720
C.Rs. 10123.20
D.Rs. 10483.20
Answer: C.Rs. 10123.20
Explanation: Explanation:
Amount
= Rs.[25000 x (1 + 12/100)3]=Rs. 35123.20
C.I. = Rs. (35123.20 - 25000) = Rs. 10123.20
ANSWER IS C
Question: if log 7 = 0.845098, the number of digits in 7128 is
A.100
B.120
C.109
D.280
Answer: D.280
Explanation: Explanation:
log(7128) = 128log(7) = 128 × 0.845098 ≈ 108.17
ie, its characteristic = 108
Hence, number of digits in 2128 = 108+1 = 109
Answer: Option D
Question: 1. Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
A.$140
B.$125
C.$145
D.$135
Answer: C.$145
Explanation: Let the 1st paycheck be x (integer).
Mrs. Rodger got a weekly raise of $ 145.
So after completing the 1st week she will get $ (x+145).
Similarly after completing the 2nd week she will get $ (x + 145) + $ 145.
= $ (x + 145 + 145)
= $ (x + 290)
So in this way end of every week her salary will increase by $ 145.
ANSWER : OPTION C =$145
Question: A box contain Red, Blue and Green colored balls. The number of Red balls is 80 and the number of Blue balls is 60.
The number of Green balls subtracted from the number of Red balls is the same as the number of Green balls added with the number of Blue balls. Then the number of Green balls is?
A.80
B.70
C.60
D.85
Answer: B.70
Explanation: Answer
Let the number of Green balls be x.
Then, x - 60= 80 - x
â‡’ 2x = 80+ 60= 140
â‡’ 2x = 140
âˆ´ x = 70
Correct Option: B