RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The ratio between the present ages of P and Q is 6 : 7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?
A.3 : 4
B.3 : 5
C.4 : 3
D.7 : 8
Answer: D.7 : 8
Explanation: Sol.
Let P's age and Q's age be 6x years and 7x years respectively.
Then, 7x - 6x = 4 ⇔ x = 4.
∴ Required ratio = (6x + 4) : (7x + 4) = 28 : 32 = 7 : 8.
Answer D
Question: The radius of a circle is 4/π cm then its perimeter is?
A.10
B.9
C.8
D.12
Answer: C.8
Explanation: perimeter=2πr
2π*4/π=8 cm
Answer: C
Question: The average of non-zero number and its square is 5 times the number. The number is?
A.9
B.37
C.98
D.8
Answer: A.9
Explanation: Let the number be x. Then,
(x + x2)/2 = 5x => x2 - 9x = 0
=> x(x - 9) = 0
=> x = 0 or x = 9
So, the number is 9.
Answer:A
Question: Find the annual income derived by investing $ 6800 in 60% stock at 136.
A.550
B.3000
C.250
D.300
Answer: B.3000
Explanation: By investing $ 136, income obtained = $ 60.
By investing $ 6800, income obtained = $ [(60/136)*6800] = $ 3000.
Answer B.
Question: If ab^2c = b^4 , which of the following must be true?
I. ac = b^2
II. b = 0
III. ac = 1
A.none
B.I
C.II
D.III
Answer: A.none
Explanation: to fulfill conditions some assumptions are to be made b#0 etc.
A
Question: 15 men take 20 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?
A.27.57
B.28.57
C.29.57
D.30.57
Answer: B.28.57
Explanation: 3W = 2M
15M ------ 20 * 8 hours
21 W ------ x * 6 hours
14 M ------ x * 6
15 * 20 * 8 = 14 * x * 6
x = 28.57
ANSWER:B
Question: The length of a train and that of a platform are equal. If with a speed of 108 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
A.757
B.758
C.718
D.900
Answer: D.900
Explanation: Speed = [108 * 5/18] m/sec = 30 m/sec; Time = 1 min. = 60 sec.
Let the length of the train and that of the platform be x meters.
Then, 2x/60 = 30 è x = 30 * 60 / 2
=900
Answer:D
Question: Mark has a rectangular driveway with a line painted diagonally across. The length of the driveway is 5 feet longer than its width. If the total area of the driveway is 36 square feet, what is the length of the painted line (in feet)?
A.between 9 and 10
B.between 10 and 11
C.between 11 and 12
D.between 12 and 13
Answer: A.between 9 and 10
Explanation: To solve this, we first need to set up an equation for the area of the room. If x is the width, then we have
x(x + 5) = 36. By putting the equation in standard form, we get x^2+5x-36=0. By using the quadratic formula, we get roots of 4 and -9. We know that x is the width, and x+5 is the length, so by using the roots, we get 4 as the width (x), and 9 as the length (x+5).
Once we have this, we can use the Pythagorean Theorem to solve for the diagonal. Plugging in the length and width, we will get d^2=4^2+9^2
=16+81
=97
The square root of 97 is less than 10, since 10^2 = 100. Going down a number, we can compute 9^2 = 81 < 97. Therefore, the length of the diagonal must be between 9 and 10.
The correct answer is A.
Question: The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
A.18 cm
B.20 cm
C.24 cm
D.28 cm
Answer: A.18 cm
Explanation: 2(l + b) = 5
b 1
2l + 2b = 5b
3b = 2l
b = 2 l
3
Then, Area = 216 cm2
l x b = 216
l x 2 l = 216
3
l2 = 324
l = 18 cm.
A)
Question: Nitin ranks 12th in a class of 56 students. What is rank from the last ?
A.33
B.38
C.45
D.28
Answer: C.45
Explanation: Explanation:
Number students behind the nitin in rank = (56 - 12) = 44
Nitin is 45th from the last
Answer: C) 45
Question: In a college students can play cricket or basketball. 500 play cricket.220 played both and 600 played basketball. What is the total strength of college?
A.800
B.880
C.920
D.950
Answer: B.880
Explanation: P(C)= 500
P(B)=600
P(C n B) =220
P(C U B)= P(C)+ P(B) - P(C n B)
= 500+600-220= 880
ANSWER:B
Question: A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 after six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
A.7500
B.8500
C.9000
D.8000
Answer: A.7500
Explanation: Explanation:
A : B : C
=20000×24:15000×24:20000×18
=20×4:15×4:20×3
=4×4:3×4:4×3
=4:3:3
B's share = 25000×3/10=7500
Answer: Option A
Question: Find the invalid no.from the following series 15, 16, 34, 104, 424, 2124, 12756
A.16
B.34
C.104
D.424
Answer: C.104
Explanation: 2nd term = (1st term) * 1 + 1 = 15 *1 + 1 = 16.
3rd term = (2nd term) * 2 + 2 = 16 * 2 + 2 = 34
4th term = (3th term) *3 + 3 = 34 * 3 + 3 = 105
5th term = (4th term) * 4 + 4 = 105 * 4 + 4 = 424
6th term = (5th term) * 5 + 5 = 424 * 5 + 5 = 2125
4th term should 105 instead of 104.
C
Question: With what number must 1020.5 be multiplied in order to obtain the number10205?
A.10
B.1,000
C.10,000
D.100,000
Answer: A.10
Explanation: Explanation: The decimal must be moved one places to the right. To do this, we must multiply by a number with one zeroes. The correct answer is 10.The decimal must be moved one places to the right. To do this, we must multiply by a number with one zero. The correct answer is 10.
Answer : (A)
Question: Find the average of the series : 120, 148, 420, 150 and 162?
A.174
B.240
C.200
D.202
Answer: C.200
Explanation: Average = (120 + 148 + 420 + 150 + 162)/5
= 1000/5
= 200
Answer: C
Question: What will come in place of the x in the following Number series? 279936, 46656, 7776, 1296, 216, x
A.30
B.31
C.36
D.38
Answer: C.36
Explanation: Go on dividing by 6 to the next number
C)
Question: In a certain game there are 8 steps, referred to as step 1, step 2, and so on with the final step being step 8. The steps are played one after the other. In each step a score of 1, 2, 3, 4, or 5 is obtained. Andrea played the game, getting at least one score of each of 1, 2, 3, 4, and 5, and never getting the same score in consecutive steps. What is the greatest possible score that Andrea could have gotten?
A.28
B.29
C.30
D.36
Answer: C.30
Explanation: There are two conditions:
1. Andrea got at least one score of each of 1, 2, 3, 4, and 5.
2. She never got the same score in consecutive steps.
Taking that into account, the greatest possible score that Andrea could have gotten is 5 + 1 + 5 + 2 + 5 + 3 + 5 + 4 = 30.
Answer: C.
Question: By selling an umbrella for Rs. 300, a shop keeper gains 100%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
A.23.23
B.32.32
C.33.33
D.30
Answer: C.33.33
Explanation: Marked price = Rs. 200
C.P. = 100/100 * 300 = Rs. 300
Sale price = 90% of Rs. 300 = Rs. 270
Required gain % = 100/300 * 100 = 33.33%.
Answer:C
Question: In a family with 3 children, the parents have agreed to bring the children to the pet store and allow each child to choose a pet. This pet store sells only dogs, cats, and monkeys. If each child chooses exactly one animal, and if more than one child can choose the same kind of animal, how many different arrangements of animals could the family leave with?
A.6
B.8
C.9
D.10
Answer: D.10
Explanation: The question has a catch.. It would seem on the face of it it would be 3 x 3 x3 = 27 arrangements, but what it is asking is how many arrangements the family leaves with.. so that is going to be
Pick all 3 = 1 way
Pick all of a kind = 3 x 1 = 3 ways
Pick 2 of a kind = 3 x 1 x 2 = 6 ways
Total of 10
ANS:D
Question: how many feet is 24 inches
A.6
B.3
C.2
D.8
Answer: C.2
Explanation: C
Question: Two pipe fill a empty tank in 14 hours and 16 hours respectively.when both pipe open together then it came to know that because of a hole in a tank it takes 32 more minutes to fill the tank.then in how much time that hole take to empty the full tank?
A.125
B.106
C.85
D.112
Answer: D.112
Explanation: both pipe filling work in 1 hour=[1/14+1/16]=15/112
so,time both pipe take to full the tank =112/15hour=7hour28minute
because of hole time taken to fill the tank=7 hour 28 minutes+32 minute=8 hour
all three resultant work in 1 hour=1/8
hole 1 hour empty work=[15/112-1/8]=1/112
so time taken to empty the full tank=112 hours
answer D
Question: If 60 J of energy are available for every 15 C of charge, what is the voltage?
A.4V
B.3V
C.7V
D.9
Answer: A.4V
Explanation: Explanation:
No answer description available for this question
Answer: Option A
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
A.288
B.277
C.342
D.662
Answer: C.342
Explanation: 400*(90/100)*(95/100)
= 342
Answer: C
Question: A boat moves upstream at the rate of 1 km in 25 minutes and down stream 1 km in 12 minutes. Then the speed of the current is :
A.1 kmph
B.2 kmph
C.3 kmph
D.1.3 kmph
Answer: D.1.3 kmph
Explanation: Rate upstream = (1/25 *60) = 2.4 kmph
Rate dowm stream = 1/12 * 60 = 5 kmph
Rate of the current = ½ (5-2.4) = 1.3 kmph
ANSWER:D
Question: The length of the room is 5.5m and width is 3.75m. Find the cost of paving the floor by slabs at the rate of Rs.800 per sq meter
A.rs.16500
B.rs.15500
C.rs.17500
D.rs.18500
Answer: A.rs.16500
Explanation: Explanation:
l=5.5m w=3.75m
area of the floor = 5.5 * 3.75 = 20.625 sq m
cost of paving = 800 *20.625 =Rs. 16500 Answer: A
Question: In a division, a student took 78 as divisor instead of 36. his answer was 24 . The correct answer is-
A.42
B.32
C.48
D.52
Answer: D.52
Explanation: X/78 = 24.
X = 24 *78.
So correct answer would be,
(24 *78) /36 = 52.
ANSWER : D
Question: The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
A.91.5
B.91.4
C.91.7
D.91.3
Answer: A.91.5
Explanation: Perimeter of the sector = length of the arc + 2(radius)
= (135/360 * 2 * 22/7 * 21) + 2(21)
= 49.5 + 42 = 91.5 cm
Answer:A
Question: A student has 7 trousers and 9 shirts. In how many different ways can the student select a trouser and a shirt?
A.45
B.51
C.57
D.63
Answer: D.63
Explanation: The student can select one trouser in 7 ways.
The student can select one shirt in 9 ways.
The number of ways to select one trouser and one shirt is 7 * 9 = 63 ways
The answer is D.
Question: A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
A.32
B.545
C.88
D.66
Answer: A.32
Explanation: S = (100 + 300)/45 = 400/45 * 18/5 = 32
Answer: A
Question: A man has Rs. 496 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
A.80
B.93
C.95
D.98
Answer: B.93
Explanation: Let number of notes of each denomination be x.
Then x + 5x + 10x = 496
16x = 496
x = 31.
Hence, total number of notes = 3x = 93.
B
Question: During a two-week period, the price of an ounce of silver increased by 25 percent by the end of the first week and then decreased by 20 percent of this new price by the end of the second week. If the price of silver was x dollars per ounce at the beginning of the two-week period, what was the price, in dollars per ounce, by the end of the period?
A.0.8x
B.0.95x
C.x
D.1.05x
Answer: C.x
Explanation: The price by the end of the period = (x*1.25)*0.8 = x.
Answer: C.
Question: The cost per pound of milk powder and coffee were the same in June. In July, the price of coffee shot up by 200% and that of milk powder dropped by 60%. If in July, a mixture containing equal quantities of milk powder and coffee costs $5.10 for 3lbs, how much did a pound of milk powder cost in July?
A.$4
B.$0.4
C.$1
D.$3
Answer: B.$0.4
Explanation: Lets assume price of Coffee in June =100x
Price of Tea in June =100x
Price of Coffee in July = 300x (because of 200% increase in price)
Price of Tea in July = 40x (because of 60% Decrease in price)
Price of 1.5 pound of Coffee1.5 pound of Tea in July will be = 450x + 60x = 510x
As per question
510x= 5.10$
x = 0.01S
So the Price of Tea in July = 40x = 40 x 0.01 = 0.4$/pound
Answer B
Question: The security gate at a storage facility requires a four-digit lock code. If the lock code must consist only of digits from 1 through 7, inclusive, with no repeated digits, and the first and last digits of the code must be odd, how many lock codes are possible?
A.120
B.240
C.360
D.720
Answer: B.240
Explanation: X-X-X-X-X --> there are 4 odd digits from 1 to 7, inclusive thus options for the first and the last X's are: 4-X-X-3. Other X's can take following values: 4-5-4-3 --> 4*5*4*3=240.
Answer: B.
Question: A can do a piece of work in 20days, and B can do it in 15days. How long will they take if both work together?
A.7days
B.8.6days
C.13days
D.5.6days
Answer: B.8.6days
Explanation: A+B can do the work in 20*15 / 20+15 = 20*15/35 = 8.6days
Answer is B
Question: The number of students in each section of a school is 24. After admitting new students, three new sections were started. Now, the total number of sections is 16 and there are 21 students in each section. The number of new students admitted is:
A.12
B.42
C.24
D.28
Answer: C.24
Explanation: Original number of sections = 16 - 3 = 13
Original number of students = 24 x 13 = 312
present number of students = 21 x 16 = 336
Number of new students admitted = 336 - 312 = 24
so the answer is option C) 24.
Question: Kelvin is expected to pay a total of $1968300 on his mortgage with his bank. He is expected to make an initial monthly payment of $150 after which his monthly payment will be triple the amount of the previous month. How many months will it take him to fully repay the mortgage?
A.10
B.13
C.10
D.9
Answer: C.10
Explanation: First payment--$150
Total amount to be repaid--$285000
First month payment--$150
Second month payment( triple the previous month payment)--$150*3=$300
Third month payment( triple the previous month payment)--$300*3=$900
Fourth month payment( triple the previous month payment)--$900*3=$2700
Fifth month payment( triple the previous month payment)--$2700*3=$8100
Sixth month payment( triple the previous month payment)--$8100*3=$24300
Seventh month payment( triple the previous month payment)--$24300*3=$72900
Eight month payment( triple the previous month payment)--$72900*3=$218700
Ninth month payment( triple the previous month payment)--$218700*3=$656100
Tenth month payment( triple the previous month payment)--$656100*3=$1968300
Answer is C
Question: What is 10-8+6-4+...+(-12)?
A. 8
B. 10
C. 12
D. 14
Answer: C. 12
Explanation: The expression considers all even numbers between 10 and -12 with alternate addition and subtraction of the numbers.
The numbers to be used are: 10, 8, 6, 4, 2, 0, -2, -4, -6, -8, -10, and -12
Now, the first term is positive and the next term is subtracted. So, the required expression becomes,
10 - 8 + 6 - 4 + 2 - 0 + (-2) - (-4) + (-6) - (-8) + (-10) - (-12)
= 10 - 8 + 6 - 4 + 2 - 0 - 2 + 4 - 6 + 8 - 10 + 12
= 42 - 30
= 12
Hence the correct answer choice is C.
Question: Bobby bought 3 shares, and which he sold for $96 each. If he had a profit of 20% on the sale of 2 of the shares each but a loss of 20% on the sale of the other share, then on the sale of both shares Bobby had...
A.a profit of 10
B.a profit of 8
C.a loss of 8
D.a loss of 10
Answer: B.a profit of 8
Explanation: Cost of the first stock: 96/1.2=80, so profit from it 96-80=16 == > 16*2 = 32 profit on 2 shares
Cost of the second stock: 96/0.8=120, so loss from it 96-120=-24
Overall profit 32-24=+8
Answer: B.
Question: A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After six months, C joined them with Rs.20,000. What will be A's share in the total profit of Rs.25,000 earned at the end of 2 years from the starting of the business?
A.Rs.7500
B.Rs.9000
C.Rs.9500
D.Rs.10,000
Answer: D.Rs.10,000
Explanation: Solution
A : B : C	=(20000×24):(15000×24):(20000×18)
=4 :3 :3
A's share	=Rs.(25000×4/10)
= Rs.1000.
Answer D
Question: If two projectiles are launched at the same moment from 1455 km apart and travel directly towards each other at 470 km per hour and 500 km per hour respectively, how many minutes will it take for them to meet?
A.90
B.85
C.80
D.75
Answer: A.90
Explanation: The projectiles travel a total of 970 km per hour.
The time to meet is 1455/970=1.5 hours = 90 minutes
The answer is A.
Question: Boy sells a book for Rs. 450 he gets a loss of 10 %, To gain 10 %, what should be the SP?
A.Rs.450
B.Rs.500
C.Rs.550
D.Rs.640
Answer: C.Rs.550
Explanation: Find Selling Price to gain 10 %.
Now, we are asked to find selling price to gain 10% profit.
Hint:
Selling Price =	(100 + Gain%)	× C.P.
100
Selling Price =	(100 + 10)	× 500
100
Selling Price =	(110)	× 500
100
Therefore, selling Price = Rs.550
C
Question: At a certain organisation, the number of male members went up by 15% in the year 2001 from year 2000, and the number of females members went down by 6% in the same time period. If the total membership at the organisation went up by 1.2% from the year 2000 to 2001, what was the ratio of male members to female members in the year 2000?
A.1:2
B.1:3
C.2:3
D.3:2
Answer: A.1:2
Explanation: men increase by 15% ==> 1.15M = males in 2001
women decrease by 6% ==> 0.94F = women in 2001
total employees increase by 1.2% ==> 1.012*(M + F) = total number of employees in 2001
Obviously
(males in 2001) + (females in 2001) = total number of employees in 2001
1.15M + 0.94F = 1.012*(M + F)
1.15M + 0.94F = 1.012M + 1.012F
1.15M - 1.012M = 1.012F - 0.94F
0.138M = 0.072F
M/F = (0.072)/(0.138) = 72/138 = 1/2
Answer =(A)
Question: In the first 25 overs of a cricket game, the run rate was only 5.4. What should be the run rate in the remaining 25 overs to reach the target of 400 runs?
A.16.5
B.13.2
C.10.6
D.11.2
Answer: C.10.6
Explanation: Required run rate = 400 - (5.4 x 25)	/25	=	265/25 = 10.6 Option C
Question: The president of a country and 4 other dignitaries are scheduled to sit in a row on the 5 chairs represented above. If the president must sit in the center chair, how many different seating arrangements are possible for the 5 people?
A.4
B.5
C.20
D.24
Answer: D.24
Explanation: If the president is sitting in the center, you only have 4 chairs left. There are 4 possibilities for 1st chair, 3 possibilities for 2nd chair, 2 possibilities for 3rd chair, and 1 for last chair. Multiply all those and you get 24.
ANS:D.
Question: A standard Veggiematik machine can chop 40 carrots in 4 minutes. How many carrots can 4 standard Veggiematik machines chop in 5 minutes?
A.50
B.100
C.150
D.200
Answer: D.200
Explanation: Direct Relationship:-
1 standard Veggiematik machine - 40 Carrots - 4 minutes,
1 standard Veggiematik machine - 10 Carrots - 1 minute,
Now
4 standard Veggiematik machine - ? Carrots - 5 minutes,
Hence = 10X4X5 =200 Carrots
Answer D
Question: {10,9,3,4,2}
Of the following value which value should be inserted in the set of 5 values to get a median of 4?
A.3
B.5
C.6
D.8
Answer: B.5
Explanation: Median is the middle number of a sorted distribution. In case of even number of items, Median will be the average of middle two values.
The question asks fora new number that will cause the median of new set at 4.
Mentionable that given set is already sorted and number of items of new set will be 5+1 = 6.
To get median 4,the sum of 3th4th Term should be 8.
So to keep the median 4,the new item should be >=5.
The answer is B
Question: Set A contains three different positive odd integers and five different positive even integers. Set B contains two different positive odd integers and three different positive even integers. If one integer from set A and one integer from set B are chosen at random, what is the probability that the product of the chosen integers is even?
A.3/5
B.7/10
C.11/20
D.17/20
Answer: D.17/20
Explanation: There can be an odd product only if both integers are odd.
P(odd product) = 3/8*2/5 = 3/20
P(even product) = 1 - 3/20 = 17/20
The answer is D.
Question: Right triangle XYZs the base of the prism in the figure above. If XY=XZ=âˆš9 and the height of the prism is 6, what is the volume of the prism?
A.3
B.27
C.13
D.12
Answer: B.27
Explanation: Volume of prism = Area of base * height = 1/2* (square root of 9) * (square root of 9)*6=27
Answer: B
Question: Missing number in the series
4 9 20 43 90 185 376 759 1526 3061 ?
A.6132
B.6185
C.6190
D.6195
Answer: A.6132
Explanation: 4*2+1=9
9*2+2=20
20*2+3=43
43*2+4=90
185*2+6=376
376*2+7=759
759*2+8=1526
1526*2+9=3061
3061*2+10=6132
ANSWER:A
Question: The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
A.Rs. 2100
B.Rs. 2200
C.Rs. 2400
D.Rs. 2500
Answer: C.Rs. 2400
Explanation: Let the price of a saree and a shirt be Rs. x and Rs. y respectively.
Then, 2x + 4y = 1600 .... (i)
and x + 6y = 1600 .... (ii)
Divide equation (i) by 2, we get the below equation.
=> x + 2y = 800. --- (iii)
Now subtract (iii) from (ii)
x + 6y = 1600 (-)
x + 2y = 800
----------------
4y = 800
----------------
Therefore, y = 200.
Now apply value of y in (iii)
=> x + 2 x 200 = 800
=> x + 400 = 800
Therefore x = 400
Solving (i) and (ii) we get x = 400, y = 200.
Cost of 12 shirts = Rs. (12 x 200) = Rs. 2400.
C)
Question: A and B invested some money such that capital of A is 20% more than that of B. If after one year they get profit of Rs.22000 then profit share of B is
A.Rs.7500
B.Rs.8000
C.Rs.9000
D.Rs.10,000
Answer: D.Rs.10,000
Explanation: A:B=120:100= 6:5
then B share =5/11*(22000)
=10,000
ANSWER:D
Question: The diagonal of a cube is 8√3. find its volume and surface area.
A.354
B.384
C.324
D.344
Answer: B.384
Explanation: √3.a = 8 √3 => a = 8
Volume = a(power)3 => (8 × 8 × 8) Cm(power)3 => 512 Cm(power)3
Surface area => 6 a(power)2 => (6 × 8 × 8) Cm(power)2 => 384 Cm(power)2
Answer is B.
Question: In what time will a train 100 meters long cross an electric pole, if its speed is 126 km/hr
A.8.5 seconds
B.2.86 seconds
C.3.5 seconds
D.2.5 seconds
Answer: B.2.86 seconds
Explanation: First convert speed into m/sec
Speed = 126*(5/18) = 35 m/sec
Time = Distance/speed
= 100/35 = 2.86 seconds
Answer: B
Question: A shopkeeper has 280 kg of apples. He sells 45% of these at 20% profit and remaining 60% at 30% profit. Find his % profit on total.
A.24%
B.25%
C.27%
D.28%
Answer: C.27%
Explanation: If the total quantity was 100
Then 45X 20% + 60 X30%= 27
This profit will remain same for any total quantity unless the % of products remains the same. Hence 'C' is the answer
Question: Sum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers?
A.65, 15
B.64, 16
C.62, 18
D.60, 20
Answer: A.65, 15
Explanation: Explanation:
x + y = 80
x – 4y = 5
x = 65 y = 15
ANSWER IS A
Question: A water tank which could be filled in 5 hours takes one more hour to be filled as a result of a leak in its bottom. If the tank is full calculate the time it will take for the leak empty it?
A.32 hours
B.30 hours
C.34 hours
D.31 hours
Answer: B.30 hours
Explanation: Part filled without leak in 1 hour = 1/5
Part filled with leak in 1 hour = 1/6
Work done by leak in 1 hour
=1/5âˆ’1/6=30 hours
Answer:B
Question: 117 x 217 + 83 x 83=?
A.79698
B.20578
C.80698
D.81268
Answer: B.20578
Explanation: =(117)^2 + (83)^2
=(100+17)^2 + (100-17)^2
=2[(100)^2+(17)^2]
=2[10000+289]
=2 x 10289 = 20578
Answer is B
Question: When the integer x is divided by the integer y, the remainder is 60. Which of the following is a possible value of the quotient x/y?
I. 15.18
II.18.17
III. 17.16
A. I only
B. II only
C. III only
D. I and II only
Answer: C. III only
Explanation: Problem statement was difficult to parse. but some how I managed to understand what we can do.
1) x/y = 15 + 0.18
2) x/y = 18 + 0.17
3) x/y = 17 + 0.15
w.k.t x = yn (i.e Q) + yk=60 (i.e remainder)
therefore :
1) y*0.18=60 -- we can't get y an integer.
2) y*0.17=60 -- we can't get y an integer.
3) y*0.16=60 -- we can get y an integer.
Therefore 3 are possible answers.
Ans C.