RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The sum of the ages of 4 children born at the intervals of 3 years each is 38 years. What is the age of the youngest child?
A.2 years
B.3 years
C.4 years
D.5 years
Answer: D.5 years
Explanation: Let the ages of the children be x, (x + 3), (x + 6), (x + 9) years.
Then, x + (x + 3) + (x + 6) + (x + 9) = 38
4x = 20 => x = 5.
Age of youngest child = x = 5 years.
ANSWER:D
Question: At a certain stage of a soccer tournament, the score ratio of teams A, B and C was 3:4:5. Eventually, the score ratio of A to B has doubled while the score ratio of A to C has halved. If the final score of team C was 40, what was the final score S of team B?
A.1)8
B.2)10
C.3)20
D.4)40
Answer: A.1)8
Explanation: A to B = 3 : 4
So, on doubling we get 6 : 4
A to C = 3 : 5
So, on halving we get 1.5 : 5 or 3 : 10 or 6 : 20
So final ratio = 6 : 4 : 20.
If 20x = 40
4x = 8
Hence, answer is A
Question: The difference between two positive integers is 3.if the sum of their squares is 369, the the sum of the numbers is:
A.12
B.29
C.71
D.48
Answer: A.12
Explanation: x^2 +(x+3)^2=369
x^2+x^2+9+6x=369
2x^2+6x-360=0
x^2+3x-180=0
(x+15)(x-12)=0
x=12
correct answer A
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 972 sq m, then what is the breadth of the rectangular plot?
A.16
B.17
C.18
D.19
Answer: C.18
Explanation: Let the breadth of the plot be b m.
Length of the plot = 3 b m
(3b)(b) = 972
3b2 = 972
b2 = 324
b = 18 m.
Answer: Option C
Question: A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have ?
A.22
B.23
C.25
D.35
Answer: C.25
Explanation: Explanation:
Clearly, we have :
B-3 = E ...(i)
B + 3 = D ...(ii)
A+B = D + E+10 ...(iii)
B = C + 2 ...(iv)
A+B + C + D + E= 133 ...(v)
From (i) and (ii), we have : 2 B = D + E ...(vi)
From (iii) and (vi), we have : A = B + 10 ...(vii)
Using (iv), (vi) and (vii) in (v), we get:
(B + 10) + B + (B - 2) + 2B = 133 => 5B = 125=> B = 25.
ANSWER IS C
Question: A discount electronics store normally sells all merchandise at a discount of 5 percent to 25 percent off the suggested retail price. If, during a special sale, an additional 25 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $300 before any discount?
A.$130.00
B.$160.75
C.$168.75
D.$182.00
Answer: C.$168.75
Explanation: Original price : 300 $
Max first discount = -25%
Thus : 300âˆ—(1âˆ’25/100)=225
Second discount on the discounted price = -25%
Thus : 225âˆ—(1âˆ’25/100)=168.75
Answer C
Question: Alice and Bob race around a running track. Alice runs at a constant rate of one lap every 5 minutes and Bob runs at a constant rate of one lap every 6 minutes. If they both start at the same time, how many minutes will it take for Alice to get exactly one lap ahead of Bob?
A.30
B.32
C.35
D.36
Answer: A.30
Explanation: Let x be the number of minutes it takes for Alice to get one lap ahead.
Then Alice ran x/5 laps and Bob ran x/6 laps.
x/5 = 1+x/6
6x=30+5x
x=30
The answer is A.
Question: What is the next number of the following sequence
125, 25, 175, 35, 245, 49 (...)
A.282
B.343
C.393
D.434
Answer: B.343
Explanation: The series is
125/5=25
25*7=175
175/5=35
35*7=245
245/5=49
49*7=343
ANSWER: B
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 3.5 km long?
A.4
B.3
C.5
D.7
Answer: C.5
Explanation: D = 25 * 60 + 3500 = 5000 m
T = 5000/60 * 18/5 = 300 sec = 5 mins
Answer: C
Question: Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
A.2500 m^2
B.2540 m^2
C.2520 m^2
D.2600 m^2
Answer: C.2520 m^2
Explanation: Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) m2 = 2520 m^2
C
Question: Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit?
A.2388
B.2380
C.2888
D.2663
Answer: B.2380
Explanation: Kamal : Sameer = (9000 * 12) : (8000 * 7)
= 108:56 = 27:14
Sameer's share = 6970 * 14/41 = Rs. 2380.
Answer: B
Question: A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 10 days before the completion of the work. In how many days was the work completed?
A.12.5 days
B.16 days
C.18 days
D.11 days
Answer: A.12.5 days
Explanation: One day work of A, B and C = 1/24 + 1/30 + 1/40 = 1/10 Work done by A and B together in the last 10 days = 10*(1/24 + 1/30) = 3/4
Remaining work = 1/4
The number of days required for this initial work = 2.5 days.
The total number of days required = 10 + 2.5 = 12.5 days.
Answer: A
Question: Following the approval of crude oil production cuts by OPEC, the price of crude which has slumped by 28% in the last 3 months is expected to rally and increase by about 5% in the next one month. This will bring the price of crude oil to $60.
A.79.4
B.75.1
C.80.7
D.68.3
Answer: A.79.4
Explanation: -28+5-(28*5)/100=-24.4% net decrease
let initial price be Y
Y(1-24.4/100)=60
Y=60/0.756 = ~79.4
Ans is A)
Question: In a simultaneous throw of pair of dice .find the probability of getting the total more than 7
A.5/7
B.4/7
C.5/12
D.4/7
Answer: C.5/12
Explanation: Here n(S)=(6*6)=36
let E=event of getting a total more than 7
={(2,6),(3,5),(3,6),(4,4),(4,5),(4,6),(5,3),(5,4),(5,5),(5,6),(6,2),(6,3),(6,4),(6,5),(6,6)}
P(E)=n(E)/n(S)=15/36=5/12
Option C
Question: A can do half the work in one day where as B can do it full. B can also do half the work of C in one day. Ratio in their efficiency will be?
A.3:2:4
B.2:2:4
C.1:2:4
D.4:2:4
Answer: C.1:2:4
Explanation: c
1:2:4
WC of A: B = 1:2
B: C = 1:2
---------------------
A: B: C = 1:2:4
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?
A.17
B.19
C.17
D.12
Answer: D.12
Explanation: 2 * 22/7 * 14 * x = 1056 => x
= 12
Answer: D
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
A.16
B.17
C.12
D.16
Answer: C.12
Explanation: T = 9/45 * 60
12
Answer:C
Question: Machine X and machine B are each used to manufacture 660 sprockets. It takes machine X 10 hours longer to produce 660 sprockets than machine B. Machine B produces 10 percent more sprockets per hour than machine X. How many sprockets per hour does machine X produces?
A.6
B.6.6
C.60
D.100
Answer: A.6
Explanation: I think the correct answer is A.
Machine X produces at a speed of X sp/hour and B at a speed of B sp/hour.
so, 660/X=(660/B)+10 and X=1,1 X--->1,1*660=660+11X--->A=6, so answer A is correct
Question: Sujit incurred a loss of 45% on selling an article for Rs.3960/-. What was the cost price of the article?
A.Rs.5725/-
B.Rs.5080/-
C.Rs.7200/-
D.Rs.6750/-
Answer: C.Rs.7200/-
Explanation: Explanation:
45% loss means SP of Rs.3960/- is 55% of CP
:. CP = 3960x100/55 = Rs.7200/-
Answer: Option C
Question: 10 men working 12 hours daily finish a work in 24 days. In how many days will they finish 1/4th of the work working 8 hours daily?
A.9 days
B.10 days
C.11 days
D.12 days
Answer: A.9 days
Explanation: The number of days needed to finish 1/4 of the work =1/4*12/8*24 =9 days. Answer : A
Question: The present age of a father is 3 years more than three times the age of his son. Three years hence, father's age will be 10 years more than twice the age of the son. Find the present age of the father.
A.33
B.38
C.29
D.40
Answer: A.33
Explanation: if the present age be x years.
father's will be (3x+3)years..
so, (3x+3+3)=2(x+3)+10
or, x=10
so the fathers present age =(3x+3)=(3*10+3)years =33years..
ANSWER : OPTION A
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
A.34
B.45
C.64
D.76
Answer: C.64
Explanation: Ans.(C)
Sol. In this case, repetitions are allowed, so all the three prizes can be given in 4 ways, i.e. (4 x 4 x 4) ways = 43 ways = 64 ways Or nr ways = 43 ways = 64 ways
Question: In an office, totally there are 6400 employees and 65% of the total employees are males. 25% of the males in the office are at-least 50 years old. Find the number of males aged below 50 years?
A.1040
B.2080
C.3120
D.4160
Answer: C.3120
Explanation: Number of male employees = 6400 * 65/100 = 4160
Required number of male employees who are less than 50 years old = 4160 * (100 - 25)%
= 4160 * 75/100 = 3120.
ANSWER:C
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
A.40
B.60
C.70
D.80
Answer: A.40
Explanation: A
800*(25/100) = 200 ---- 5
? ---- 1 => Rs.40
Question: At a tanning salon, customers are charged $10 for their first visit in a calendar month and $8 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon?
A.$1220
B.$1240
C.$1300
D.$1340
Answer: B.$1240
Explanation: I get B. This question seems too straightforward for 600+. Am I missing something?
100 first-time visits --> 100(10) = $1000
30 + 10 = 40 subsequent visits --> 40(8) = $320
Total revenue: 1000+ 320 = $1320
The answer is B.
Question: A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability R that the team will have exactly 2 women?
A.1/14
B.1/7
C.2/7
D.3/7
Answer: D.3/7
Explanation: 5C2 * 3C2 -> it gives combination of exactly 2 women and 2 men.
8C4 -> gives total possibilities of 4 people from 5 women and 3 men.
Probability = 5C2*3C2 / 8C4 = 3/7
SECOND METHOD:
Probability of two women -> 5/8 * 4/7.
probability of two men -> 3/6 * 2/5.
Probability: (5/8 * 4/7) * (3/6 * 2/5) = 1/14.
Question: What number is 70 more than one-fourth of itself?
A.93
B.225
C.288
D.324
Answer: A.93
Explanation: 1/4x+70= x
That means 70=3/4x
x= (70*4)/3= 280/3=93
A is the answer.
Question: 387 x 387 + 114 x 114 + 2 x 387 x 114 = ?
A.250001
B.251001
C.260101
D.261001
Answer: B.251001
Explanation: Answer
Given expression = a2+b2+2ab = (a+b)2
where a = 387 and b = 114
= (387 + 114 )2
= (501)2
=(500 +1 )2
=(500)2 + (1)2+ 2 x 500 x 1
= 250000 + 1 +1000 = 251001.
Option: B
Question: A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?
A.22
B.45
C.66
D.88
Answer: B.45
Explanation: Let the distance to be travelled to catch the bus be x km
x/30 - x/40 = 30/60 => (4x - 3x)/120 = 1/2 => x = 60 km
By traavelling 30 kmph time taken = 60/30 = 2 hours
By taking 2 hours, he is late by 40 min. So, he has to cover 60 km in at most speed = 60/(4/3) = 45 kmph.
Answer: B
Question: If the seventh day of a month is three days earlier than Friday, What day will it be on the nineteenth
day of the month?
A.Saturday
B.Monday
C.Sunday
D.Wednesday
Answer: C.Sunday
Explanation: Explanation :
Given that seventh day of a month is three days earlier than Friday
=> Seventh day is Tuesday
=> 14th is Tuesday
=> 19th is Sunday
Answer : Option C
Question: If 11.25 m of a uniform steel rod weighs 42.75 kg. what will be the weight of 9 m of the same rod?
A.22.8 kg
B.34.2 kg
C.28 kg
D.26.5 kg
Answer: B.34.2 kg
Explanation: Explanation :
Let the required weight be x kg. Then, Less length, Less weight (Direct Proportion)
=> 11.25 : 9 :: 42.75 : x
=> 11.25 x x = 9 x 42.75
=> x = (9 x 42.75) / 11.25
=> x = 34.2
Answer : B
Question: In how many years will a sum of money doubles itself at 5% per annum on simple interest?
A.33
B.20
C.88
D.66
Answer: B.20
Explanation: P = (P*5*R)/100
R = 20%
Answer: B
Question: There are 70 doors marked with numbers 1 to 70. There are 70 individuals marked 1 to 70.
An operation on a door is defined as changing the status of the door from open to closed or vice versa. All the doors are closed to start with. One at a time, one randomly chosen individual goes and operates the doors. The individual however operates only those doors which are a multiple of the number he/she is carrying. For example, the individual marked with number 5 operates the doors marked with 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, and 70. If every individual in the group gets one turn, then how many doors are open at the end?
A.0
B.2
C.5
D.8
Answer: D.8
Explanation: If a door is closed at the start, it requires an odd number of people to operate to be open at the end. Only the perfect squares have an odd number of factors.
The doors which are open at the end are: 1, 4, 9, 16, 25, 36, 49, 64 for a total of 8 doors.
The answer is D.
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
A.12
B.56
C.54
D.67
Answer: C.54
Explanation: S = 240/16 * 18/5
= 54 kmph
Answer:C
Question: A man crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
A.7km/hr
B.7.2km/hr
C.5.2km/hr
D.10km/hr
Answer: B.7.2km/hr
Explanation: Speed =600/5 *60 = 2 m/sec
Converting m/sec to km/hr .
=2*18/5=7.2km/hr
Answer is B
Question: In 1978, a kg of paper was sold at Rs25/-.If the paper rate increases at 1.5% more than the inflation rate which is 6.5% a year, then what wil be the cost of a kg of paper after 2 years?
A.29.12
B.29.16
C.30.12
D.32.65
Answer: B.29.16
Explanation: 1.5%+6.5% = 8% ( rate increase every year)
25*8% = 2/- 25+2= 27
27*8% = 2.16/- 27+2.16 = 29.16 /-
ANSWER:B
Question: Three consecutive odd integers are in increasing order such that the sum of the last two integers is 21 more than the first integer. Find the three integers?
A.7, 9, 29
B.7, 2, 10
C.15,17,19
D.7, 9, 11
Answer: C.15,17,19
Explanation: Explanation:
Let the three consecutive odd integers be x, x + 2 and x + 4 respectively.
x + 4 + x + 2 = x + 21 => x = 15
Hence three consecutive odd integers are 15, 17 and 19
Answer:C
Question: If a train, travelling at a speed of 360 kmph, crosses a pole in 5 sec, then the length of train is?
A.381 m
B.112 m
C.500 m
D.125 m
Answer: C.500 m
Explanation: C
C = 360 * 5/18 * 5 = 500 m
Question: The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
A.15
B.16
C.18
D.25
Answer: B.16
Explanation: Explanation :
Let the cost price of 1 article be z.
So, the cost price of 20 article = 20z ------------------------- (1)
Selling Price of 20 articles = 20z + 25% of 20z = 25z
=> Selling Price of 1 article = 25z/20 = (5/4)*z
=> Selling Price of x articles = (5/4)*z*x ------------------------- (2)
Given that Selling Price (S.P.) of x articles = Cost Price (C.P.) of 20 articles
=> (5/4)*z*x = 20z => x = 16
Answer : B
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
A.772 m
B.167 m
C.245 m
D.267 m
Answer: C.245 m
Explanation: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2 ==> 2(130 + X) = 750 ==> X
= 245 m.
Answer:C
Question: A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at p.a for 2 years. Find his gain in the transaction per year
A.112.50
B.119.5
C.112.58
D.112.57
Answer: A.112.50
Explanation: Explanation:
= Rs. (625 - 400)
= Rs. 225
Answer: A) Rs. 112.50
Question: In a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. If there are 5 rows in all and a total of 50 bricks in the wall, how many bricks does the bottom row contain ?
A.12
B.10
C.9
D.8
Answer: D.8
Explanation: The bottom row has x bricks
x+x-1+x-2+x-3+x-4 = 50
5x-10=50
5x=40
x=8
Answer:D
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.730
C.750
D.800
Answer: A.720
Explanation: Option 'A'
Question: Alice can fill Q cans of paint in 2 minutes. If there are R cans of paint in one gallon, how many gallons can Alice fill in 36 minutes?
A.36Q/R
B.18Q/R
C.18QR
D.18R/Q
Answer: B.18Q/R
Explanation: Alice can fill this number of cans in 36 minutes: (36/2)Q = 18Q.
One can is 1/R gallons.
Alice can fill 18Q*(1/R) = 18Q/R gallons of paint in 36 minutes.
The answer is B.
Question: The cost price of an book is 64% of the marked price. Calculate the gain percent after allowing a discount of 13%?
A.31.5%
B.35.9%
C.37.5%
D.39.5%
Answer: B.35.9%
Explanation: Let marked price = $100.
Then, C.P. = $64, S.P. = $87
Gain % = 23/64 * 100 = 35.9%. B
Question: A is 6 times as fast as B and takes 100 days less to complete a work than B. Find the total number of days taken by A and B to complete the work.
A.120/7
B.120/9
C.120/76
D.120/6
Answer: A.120/7
Explanation: Explanation:-
According to question A is 6 times as fast as B
So, Ratio of time taken by A and B will be 1 : 6
Let time taken by A is = x
And time taken by B is = 6x
According to the question A take 100 days less
i.e. 6x – x = 100
x = 20
So, A takes 20 days and B takes 120 days to complete the work.
A's 1 day work = 1/20
B's 1 day work = 1/120
(A + B)'s 1 day work = 1/20 + 1/120 = 7/120
Total time taken = 120/7 days.
Answer: A
Question: 5 x 1.6 - 2 x 1.4/1.3 = ?
A.3
B.0
C.5
D.4
Answer: D.4
Explanation: Given Expression
= (8 - 2.8)/1.3
= 5.2/1.3
= 52/1.3
= 4.
Answer is D.
Question: Find the odd man out
445, 221, 109, 46, 25, 11, 4
A.221
B.109
C.46
D.25
Answer: C.46
Explanation: 4*2+3 = 11
11*2+3 = 25
25*2+3 = 53
53*2+3 = 109
109*2+3 = 221
221*2+3 = 445
ANSWER:C
Question: If p, q, and r are positive numbers such that (p/(p+q))(10) + (q/(p+q))(20)=r and if p<q which of the following could be the value of r?
A.10
B.12
C.15
D.18
Answer: D.18
Explanation: The answer is D. For any positive p and q, r is a number between 10 and 20. Since p < q, weight of 10 is inferior of weight of 20 -> r is > 15 -> 18 is the answer.
Question: A can do a piece of work 20 days. B can do work in 35 days. In how many days they will complete the work together?
A.15 days
B.16.32 days
C.12.72 days
D.17 days
Answer: C.12.72 days
Explanation: LCM = 140, Ratio= 20:35=4:7
No of days= 140/(4+7) = 90/5 = 12.72 days
ANSWER:C
Question: Each of the 48 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 15 students sign up for the poetry club, 23 students for the history club, and 21 students for the writing club. If 3 students sign up for exactly two clubs, how many students sign up for all three clubs?
A.3
B.4
C.5
D.6
Answer: B.4
Explanation: The total number in the three clubs is 15+23+21=59.
All 48 students signed up for at least one club.
3 of those students signed up for exactly one more club.
59 - 51 = 8 so 4 students must have signed up for exactly three clubs.
The answer is B.
Question: In an examination, there were 2,000 candidates, out of which 900 candidates were girls and rest were Boys. If 32% of the boys and 32% of the girls passed, then the total percentage of failed candidates is?
A.35.67%
B.64.75%
C.68.00%
D.69.57%
Answer: C.68.00%
Explanation: Girls = 900, Boys = 1100
Passed = ( 32% of 1100 ) + ( 32% of 900)
= 352 + 288 = 640
Failed = 2000 - 640 = 1360
Failed % = [(1360/2000) x 100]%
= 68%.
ANSWER:C
Question: Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid $ 2178?
A.$ 2300
B.$ 2650
C.$ 2670
D.$ 2200
Answer: D.$ 2200
Explanation: D
$ 2200
Let the cost price of table for Sreenivas be $ x and given that, cost price of table for Mahesh = $ 2178.
=> (90%) of (110%) of x = $ 2178.
=> (90/100)(110/100)x = 2178
=> x = (2178 * 100)/(9 * 11)
=> x = $ 2200
Question: A shopkeeper sold an article at $100 with 30% profit. Then find its cost price?
A.$120
B.$100
C.$91
D.$77
Answer: D.$77
Explanation: cost price = selling price *100/(100+profit)
C.P. = 100*100/130 = $77(approximately)
Answer is D
Question: The price of a VCR is marked at Rs. 12,000. If the successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
A.Rs. 8400
B.Rs. 8500
C.Rs. 8721
D.Rs. 8856
Answer: C.Rs. 8721
Explanation: Solution
Actual price = 95% of 90% of 85% of
Rs. 12000.
= Rs. (95/100 x 90/100 x 85/100 x 12000)
= Rs. 8721.
Answer C
Question: Sahil purchased a machine at Rs 12000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it.
A.Rs. 22000
B.Rs. 24000
C.Rs. 26000
D.Rs. 27000
Answer: D.Rs. 27000
Explanation: Explanation:
Question seems a bit tricky, but it is very simple.
Just calculate all Cost price, then get 150% of CP.
C.P. = 12000 + 5000 + 1000 = 18000
150% of 18000 = 150/100 * 18000 = 27000
Option D
Question: A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
A.49
B.50
C.53.5
D.55
Answer: A.49
Explanation: Explanation:
Area of the wet surface = [2(lb + bh + lh) - lb]
= 2(bh + lh) + lb
= [2 (4 x 1.25 + 6 x 1.25) + 6 x 4] m2
= 49 m2
Answer: A
Question: A shopkeeper sold an article for Rs 2564.36. Approximately what was his profit percent if the cost price of the article was Rs 2400
A.4%
B.5%
C.6%
D.7%
Answer: D.7%
Explanation: Explanation:
Gain % = (164.36*100/2400) = 6.84 % = 7% approx
Option D
Question: If two positive numbers are in the ratio 1/9 : 1/7, then by what percent is the second number more than the first?
A.67%.
B.70%.
C.60%.
D.28.6%.
Answer: D.28.6%.
Explanation: Given ratio = 1/9 : 1/7 = 7 : 9
Let first number be 7x and the second number be 9x.
The second number is more than first number by 2x.
Required percentage = 2x/7x * 100 = 28.6%.
Answer: D
Question: Which of the following fractions T, if written as a decimal, would have a 2 in the thousandths place ?
A. 3/11
B. 7/9
C. 1/8
D. 4/7
Answer: A. 3/11
Explanation: (A) T=3/11 = 0.2727272727....
Answer: A
Question: What number has a 5:1 ratio to the number 10?
A.74
B.50
C.94
D.59
Answer: B.50
Explanation: Answer: Option B
Explanation:
5:1 = x: 10
x = 50
Answer: Option B
Question: In Rwanda, the chance for rain on any given day is 1/2. What is the probability that it rains on 4 out of 10 consecutive days in Rwanda?
A.4/7
B.3/7
C.105/512
D.4/28
Answer: C.105/512
Explanation: using Binomial. theorem
nCr (p)^r (q)^n-r
10C4 (1/2)^4 (1/2)^r
which is 105/512
Answer is C.
Question: 20% of a 6 liter solution and 60% of 4 liter solution are mixed. What percentage of the mixture of solution
A.36%
B.18%
C.35%
D.34%
Answer: A.36%
Explanation: 20% of 6 lit =6/5
60% of 4 lit =12/5
(6/5) + (12/5) =18/5
percentage of 10 lit = (18/5)*(1/10)*100 =36% ANSWER:A
Question: Ravi purchased a car and a mobile phone for Rs. 150000 and Rs. 10000 respectively. He sold the refrigerator at a loss of 2 percent and the mobile phone at a profit of 10 percent. Overall he make a.
A.loss of Rs. 200
B.loss of Rs. 2000
C.profit of Rs. 100
D.profit of Rs. 200
Answer: B.loss of Rs. 2000
Explanation: Total C.P. = 150000+10000 = 160000
S.P. of car = 150000/100*98= 147000
S.P. of Mobile = 10000/100*110 = 11000
Total S.P. = 147000 + 11000 = 158000
Tota. S.P. - Total C.P. = 158000 - 160000 = -2000
Answer : B
Question: If a positive integer n is divisible by both 2 and 7, then n must also be divisible by which of the following?
I. 14
II. 9
III. 42
A.None
B.I only
C.II only
D.I and II
Answer: B.I only
Explanation: A multiple of 2 and 7 is also a multiple of 14, but not necessarily a multiple of 9 or 42.
The answer is B.