RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A man bets on no. 16 on a roulette wheel 14 times and losses each time. On the 15th span he does a quick calculation and finds out that the no. 12 had appeared twice in the 14 spans and is therefore, unable to decide whether to bet on 16 or 12 in the 15th span. Which will give him the best chance and what are the odds of winning on the bet that he takes?
A.23:41
B.Either ;35:1
C.41:54
D.35:43
Answer: B.Either ;35:1
Explanation: Each of the span is an independent event and the outcome of the 15th span will not depend on the outcome of the earlier spans.
Either ;35:1
B)
Question: How many positive integers less than 250 are multiple of 4 but NOT multiples of 6?
A.20
B.31
C.42
D.53
Answer: C.42
Explanation: Multiples of 4 less than 250 = {4,8,12,......248} = 62 numbers
Multiples of 4 which are multiples of 3 too ={12,24,36.....240} = 20 numbers
So required number= 62-20 = 42
Choice C
Question: When integer K is divided by 15, the remainder is 5. Which of the following has a remainder of 10 when divided by 15 ?
I. 3K
II. 4K+10
III. 5K
IV. 2K
V .6K
II. 5n
III. 4n + 10
A.II
B.I
C.III
D.V
Answer: C.III
Explanation: C
Question: How many positive integers less than 17 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3?
A.14
B.13
C.12
D.11
Answer: D.11
Explanation: The number = 2a + 3b < 17
When a = 1, b = 1, 2, 3, 4, 5 -> 2a = 2; 3b = 3, 6, 9, 12, 15 -> the number = 5, 8, 11, 14-->4 numbers
when a =2, b = 1,2,3,4-> ....--> 4 numbers
when a =3, b = 1,2,3 --> ....--> 3 numbers
Total number is already 11. Look at the answer there is no number greater than 11 --> we dont need to try any more
Answer must be D
Question: The sum of ages of 5 children born 3 years different each is 55 yrs. What is the age of the Elder child?
A.17
B.19
C.16
D.18
Answer: A.17
Explanation: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 55
5x = 25
x = 5.
x+12= 5+12= 17
A
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
A.Rs.1000
B.Rs.1100
C.Rs.1200
D.Rs.1250
Answer: A.Rs.1000
Explanation: Explanation:
90%
104%
--------
14% ---- 140
100% ---- ? => Rs.1000
A)
Question: Of all the homes on Gotham Street, 1/3 are termite-ridden, and 1/4 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?
A.1/3
B.2/5
C.1/4
D.1/6
Answer: C.1/4
Explanation: The fraction of homes which are termite-infested but not collapsing is 3/4*1/3 = 1/4
The answer is C.
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?
A.20
B.43
C.45
D.80
Answer: A.20
Explanation: Sol. Number of choices to go by ship = 4 Number of choices to return by airline = 5 From, fundamental principle, total number of ways of performing the journey = 4 x 5 = 20 ways
A
Question: P, Q and R are inner angles in a triangle. If P= Q+ R, what can't be the size of Q?
A.30 DEGREES
B.40 DEGREES
C.90 DEGREES
D.50 DEGREES
Answer: C.90 DEGREES
Explanation: Given P= Q+ R, and P, Q and R are inner angles in a triangle. Thus P+ Q+ R= 180
Q+ R+ Q+ R= 180 => 2(Q+ R) = 180 => Q+ R= 90. Thus Q will be less than 90.
Hence the answer is C.
Question: 4 red,6blue,26 green ball. person choose 1 at a time either blue or red. what is probability that he choose red ball
A.0.1
B.0.2
C.0.3
D.0.4
Answer: D.0.4
Explanation: probability that none of ball is blue or red is=26/36=13/18
probability of blue or red ball=1/13/18=5/18
probability of only red ball in blue or red ball=(4/36)/(5/18)=0.4
ANSWER:D
Question: Among 250 viewers interviewed who watch at least one of the three TV channels namely A, BC. 116 watch A, 127 watch C, while 107 watch B. If 90 watch exactly two channels. How many watch exactly one channel?
A.155
B.160
C.175
D.190
Answer: A.155
Explanation: 250 = n(Exactly 1 channel) + n(Exactly 2 channels) + n(Exactly 3 channels)
250 = n(Exactly 1 channel) + 90 + n(Exactly 3 channels)
Let's find the value of n(Exactly 3 channels) = x
250 = n(A) + n(B) + n(C) - n(A and B) - n(B and C) - n(C and A) + n(A and B and C)
Note that each of n(A and B) is the sum of 'number of people watching exactly two channels A and B' and 'number of people watching all three channels'.
250 = 116 + 127 + 107 - n(Exactly 2 channels) - 3x + x
250 = 116 + 127 + 107 - 90 - 2x
x = 25
250 = n(Exactly 1 channel) + 90 + 25
n(Exactly 1 channel) = 155
Answer (A)
Question: A start walking from a place at a uniform speed of 4 kmph in a particular direction. After half an hour, B starts from the same place and walks in the same direction as A at a uniform speed and overtakes A after 1 hour 48 minutes. Find the speed of B.
A.4.7 kmph
B.4.6 kmph
C.4 kmph
D.7 kmph
Answer: B.4.6 kmph
Explanation: Distance covered by A in 30 min = 1 Km
B covers extra 1km in 1 hour 48 minutes (9/5 hr)
i.e. Relative speed of B over A = 1/(9/5) = 5/9
So the speed of B = Speed of A + 5/9
= 4 + 5/9
= 4.55
Answer B
Question: A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.15 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?
A.1276
B.1200
C.2832
D.1800
Answer: D.1800
Explanation: Explanation:
l * 30 = 1200 è l = 40
40 + 30 + 50 = 120
120 * 15 = 1800
Answer: Option D
Question: Of the five numbers in a sequence, the first term is 10,000, and each of the following terms is 50% of the previous term. What is the value range of the five numbers?
A.9,375
B.9,750
C.9,975
D.9,984
Answer: A.9,375
Explanation: 1st number= 10,000
2nd number =50% of 10,000=5000
3rd number= 50% of 5000= 2500
4th number = 50% of 2500=1250
5th number= 50% of 1250= 625
Range = 10,000-625= 9375
A is the answer
Question: Tom bought 2 shares and sold them for $110 each. If he had a profit of 10% on the sale of one of the shares but a loss of 50% on the sale of the other share, then on the sale of both shares Tom had
A. a profit of $100
B. a loss of $100
C. a loss of $110
D. a profit of $110
Answer: B. a loss of $100
Explanation: total CP = 11000/110 + 11000/50 = 100 + 220=320
SP=110*2=220
loss= Rs 100/-
Answer: B
Question: Josh spends a total of $5.5 buying P items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then may be which of the following?
A.99
B.100
C.101
D.112
Answer: C.101
Explanation: P items in the convenience store$5.5 = 550 cents
550 = 50a + 5b
=>110 = 10a + b
b = 110 - 10a = 10(11-a)
Hence b is even and multiple of 10.
Possible values of b:
b = 10,20,30,40,50,60,70,80,90,100
a = 11,9,8,7,6,5,4,3,2,1
The total (a+b) is 21,29,38,47,56,65,74,83,92,101
The only option is 101. Hence C.
Question: There are 300 seniors at Morse High School, and 50% of them have cars. Of the remaining grades (freshmen, sophomores, and juniors), only 10% of them have cars. If 18% of all the students at Morse have cars, how many students are in the three lower grades?
A.600
B.900
C.1200
D.1350
Answer: C.1200
Explanation: Let x be the number of students in the lower three grades.
0.1x + 150 = 0.18(x+300)
0.08x = 96
x = 1200
The answer is C.
Question: The average age of 25 students in a group is 12 years. when teacher's age is included to it, the average increases by one.What is the teacher's age in years?
A.31
B.38
C.39
D.40
Answer: B.38
Explanation: age of the teacher=(26*13-25*12)
=38 years.
ANSWER:B
Question: A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 30% while buying and by 10% while selling. What is his percentage profit?
A.10.22%
B.20.22%
C.21.22%
D.30%
Answer: D.30%
Explanation: The owner buys 100kg but actually gets 130kg;
The owner sells 100kg but actually gives 90kg;
Profit: (130-90)/90*100=30%
Answer: D.
Question: Find the common ratio of three numbers in G.P whose product is 216 and the sum of the products taken in pairs is 114.
A.2 or ½
B.2/3 or 3/2
C.¾ or 4/3
D.4 or ¼
Answer: B.2/3 or 3/2
Explanation: Let the terms be a/r, a , ar
a/r *a * ar = a 3 =216, a =6
(a/r*a )+ (a*ar) + (ar*a/r ) =114, a 2/r + a 2 r + a 2 =114
a 2 ( 1/r + r +1 ) = 114, 36[( 1+ r 2 +r )/r] =114
6 [( 1 +r 2+ r )/r ]= 19, 6 r 2 -13 r + 6 = 0,
On solving, r = 2/3 or 3/2
ANSWER:B
Question: Nine men went to a hotel. 8 of them spent 3 each over their meals and the ninth spent 5 more than the average expenditure of all the nine. The total money spent by all of them was
A.26
B.40
C.29.25
D.32.625
Answer: D.32.625
Explanation: Let the average expenditure of all the ninte be x
Then, 3 × 8 + x + 5 = 9x
⇒ x = 3.625
∴ Total money spent = 9x = 9 × 3.625 = 32.625
Answer D
Question: What will come in place of the x in the following Number series? 25, 100, x, 1600, 6400
A.6400
B.6900
C.7340
D.7500
Answer: A.6400
Explanation: (A)
25 x 4 = 100, 100 x 4 = 400, 400 x 4 = 1600, 1600 x 4 = 6400.
Question: A group of 10 representatives is to be selected out of 13 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
A.13C₅ * 10
B.13C₇ * 10
C.13C8 * ¹⁰C₅
D.12 * ¹⁰C₅
Answer: C.13C8 * ¹⁰C₅
Explanation: Here, five seniors out of 13 seniors can be selected in 13C₅ ways. Also, five juniors out of ten juniors can be selected ¹⁰C₅ ways. Hence the total number of different ways of selection = 13C₅ * ¹⁰C₅ = 13C8 * ¹⁰C₅
since 13C₅ = 13C8
ANSWER: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.7 sec
B.6 sec
C.8 sec
D.4 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 will be the fraction of 25%
A.1/4
B.1/5
C.1/10
D.1/8
Answer: A.1/4
Explanation: Explanation:
It will 25*1/100 = 1/4
Answer: Option A
Question: 9/8, 4/3, 17/8 ,3 1/3, 7/3, 42/8, 3 1/3, 7 1/4 ,1 3/3 , 7/2, 5 1/3, ?
A.3/2
B.1/2
C.11/2
D.5/2
Answer: C.11/2
Explanation: divide series into 2 parts
9/8,17/8,7/3,10/3,13/3,16/3..
9/8+1=17/8,7/3+1=10/3...n so on
4/3,10/3,42/8,29/4,7/2....
4/3+2=10/3 ....n so on.....7/2+2=11/2
ANSWER:C
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 4:3 and B:C = 4:5. If the total runs scored by all of them are 75, the runs scored by B are?
A.20.23
B.20.13
C.30.93
D.20.93
Answer: D.20.93
Explanation: A:B = 4:3
B:C = 4:5
A:B:C = 16:12:15
12/43 * 75 = 20.93
ANSWER:D
Question: A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should A pay?
A.240
B.270
C.276
D.271
Answer: A.240
Explanation: 12*8 :16*9 = 18*6
8: 12: 9
8/29 * 870 = 240
Answer: A
Question: In a certain game, each player scores either 2 or 5 points. If n players score 2 points and m players score 5 points and the total number of points scored is 40, what is the least possible difference between n and m.
A.a.1
B.b.3
C.c.5
D.d.7
Answer: A.a.1
Explanation: 2n+5m=40
try with n=5 and m=6 the equation will be satisfied
2(5)+5(6)=40
so difference between M and N is 1,
Answer A
Question: What is the ratio between perimeters of two squares one having 7 times the diagonal then the other?
A.3: 7
B.3: 5
C.3: 8
D.7: 1
Answer: D.7: 1
Explanation: d = 7d d = d
a√2 = 7d a√2 = d
a = 7d/√2 a = d/√2 => 7: 1
Answer: D
Question: In a certain country 1/3 of 4 = 6. Assuming the same proportion, what would be the value of 1/6 of 20 ?
A.14
B.15
C.20
D.22
Answer: B.15
Explanation: B
15
Question: A 300 meter long train crosses a platform in 42 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
A.227
B.400
C.230
D.288
Answer: B.400
Explanation: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 42 = 50/3
3(x + 300) = 2100 è x = 400m.
Answer: B
Question: If the compound interest on a sum of Rs.7000 for 2 years is Rs.1470 then the rate of interest is (interest compounded yearly)
A.10 % p.a.
B.12 % p.a.
C.11 % p.a.
D.9 % p.a.
Answer: A.10 % p.a.
Explanation: Given CI=1470
P=7000
Thus A=CI+P=8470
Now A=p(1+R/100)^n
So,8470=7000(1+R/100)^2
(11/10)^2=(1+R/100)^2
11/10=1+R/100
Thus R=10%
ANSWER:A
Question: A straight line in the xy- plane has slope 2 . On this line the x-coordinate of the point is 300 and y-coordinate is 900 then what is the y intercept of the plane?
A.200
B.250
C.100
D.300
Answer: A.200
Explanation: Eq of line = Y = MX +C
M= 2
X=300
Y=300*2+ C,
Substitute Y by 900 as given in question.
900=600+C , C =200
correct option is A
Question: A person can swim in still water at 8 km/h. If the speed of water 4 km/h, how many hours will the man take to swim back against the current for 8km?
A.2
B.4
C.5
D.6
Answer: A.2
Explanation: M = 8
S = 4
US = 8 - 4 = 4
D = 4
T = 8/4 = 2 Answer:A
Question: There are some students in a school.The 1/2 of number of students is a whole number. The 1/6 of number of students is a whole number. The 1/5 of number of students is a whole number. The 1/7 of number of students is a whole number.Find the number of students.
A.200
B.210
C.220
D.230
Answer: B.210
Explanation: 210
ANSWER:B
Question: When N is divided by T, the quotient is S and the remainder is C. Which of the following expressions is equal to N?
A.ST
B.S + V
C.ST + C
D.T(S+V)
Answer: C.ST + C
Explanation: Using the rule dividend = Quotient * divisor + remainder =>ST + C C is correct
Question: A certain team consists of 3 professors and 4 teaching assistants. How many different teams of 3 can be formed in which at least one member of the group is a professor? (Two groups are considered different if at least one group member is different.)
A.25
B.28
C.31
D.34
Answer: C.31
Explanation: The total number of ways to form a group of 3 from 7 people is 7C3 = 35
The number of ways to form a group without a professor is 4C3 = 4
The total number of ways to form a valid group is 35 - 4 = 31.
The answer is C.
Question: A train running at the speed of 60 km/hr crosses a pole in 6 seconds. What is the length of the train?
A.120 metres
B.180 metres
C.100 metres
D.228 metres
Answer: C.100 metres
Explanation: Speed= 60 x	5/18	m/sec	= 50/3	m/sec.
Length of the train = (Speed x Time).
Length of the train = 50/3	x 6 m = 100 m.
Option C
Question: A certain team has 6 members, including Joey. A three-member relay team will be selected as follows: one of the 6 members is to be chosen at random to run first, one of the remaining 5 members is to be chosen at random to run second, and one of the remaining 4 members is to be chosen at random to run third. What is the probability that Joey will be chosen to run second or third?
A.1/2
B.2/3
C.1/3
D.1/6
Answer: C.1/3
Explanation: Each member has an equal probability to run second (1/6) or third (1/6).
The probability that Joey runs second or third is 1/6 + 1/6 = 1/3
The answer is C.
Question: What is the smallest integer q greater than 1 that leaves a remainder of 1 when divided by any of the integers 6, 8, and 10?
A.q=21
B.q=41
C.q=121
D.q=241
Answer: C.q=121
Explanation: Or u can just use the answer choices here. Since the answers are already arranged in ascending order, the first number which gives remainder q as 1 for all three is the correct answer. In the given question, the first number which gives a remainder of 1 for 6,8 and 10 is 121.C
Question: Find the value of x from the below equation? : 3x^2-5x+2 = 0
A.2/3
B.-1
C.0
D.-2/3
Answer: A.2/3
Explanation: a = 3, b = -5, c = 2
x1,2 = (5 Â± âˆš((-5)^2 - 4Ã—3Ã—2)) / (2Ã—3) = (5 Â± âˆš(25-24)) / 6 = (5 Â± 1) / 6
x1 = (5 + 1)/6 = 6/6 = 1
x2 = (5 - 1)/6 = 4/6 = 2/3
A
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.15000. A's share is?
A.2999
B.2778
C.6000
D.5000
Answer: D.5000
Explanation: x* 12 : 2x* 6: 3x* 4
1:1:1
1/3 * 15000 = 5000
Answer:D
Question: An investment yielded an interest payment of $350 each month when the annual interest rate was 9%, what is the amount of the investment that should be invested with an annual interest rate of 8% if We want to gain 15% more each month?
A.$60,375
B.$50,400
C.$41,300
D.$32,500
Answer: A.$60,375
Explanation: An investment yielded an interest payment of $350 each month when the annual interest rate was 9%, what is the amount of the investment that should be invested with an annual interest rate of 8% if We want to gain 15% more each month?
Based on first statement the total interest earned = 350 * 12 = Principal * interest rate(9/100)
No need to solve for principal here, just continue....
So find the new principal for revised interest rate and 10% more interest, so 350 * 12 * 1.15 = Principal * interest rate (8/100)
solving for Principal = 60,375
Answer is A : 60,375
Question: The average age of 7 men increases by 3 years when two women are included in place of two men of ages 18 and 22 years. Find the average age of the women?
A.30.5
B.26
C.30
D.18
Answer: A.30.5
Explanation: Explanation:
18 + 22 + 7 * 3 = 61/2 = 30.5
Answer: A
Question: The length of the longest rod that can fit in a cubical room of 4 m side is?
A.6.978 m
B.6.928 m
C.6.829 m
D.6.248 m
Answer: B.6.928 m
Explanation: The length of the longest rod=4 sq.root of 3=6.928 m
Answer: B
Question: Gabriela’s grade was in the 90th percentile out of 100 grades in her class. In another class of 100 students there were 80 grades lower than Gabriela’s. If nobody had Gabriela’s grade, then Gabriela was what percentile of the two classes combined?
A.90
B.85
C.80
D.75
Answer: D.75
Explanation: Being in 90% percentile out of 100 grades means was 91st (from the least grade) in the class (as long as nobody had Gabriela 's grades), she outscored 90.
In another class her grade would rank her 61 (from the least grade out of 101, 100+ Gabriela), 60 had the grades lower than Gabriela.
So in combined classes she outscored 90+60=150. There are 200 students 150/200=0.75
Answer: D (75%)
Generally being in x% means that x% has the grades less than you.
Gabriela in 90% --> she outscored 90% of of 100=90 (Gabriela is 91st).
Of the 100 grades from another class, 60 were lower than Gabriela, hence Gabriela outscored 60.
So out of total 100+100=200, Gabriela outscored 90+60=150. Hence she is in 150/200=75%.
Answer:D
Question: At present the age of the father is five times that of the age of the son. Three years hence the father's age would be 4 times that of his son. Find the present age of the father?
A.9years
B.25years
C.45years
D.30years
Answer: C.45years
Explanation: Age of the son = (4-1)*3 / (5-4) = 9 years
Age of the father = 9*5 = 45 years
Answer is C
Question: The security gate at a storage facility requires a five-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: D.720
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-X-3. Other X's can take following values: 4-5-4-3-3 --> 4*5*4*3*3=720.
Answer: D.
Question: A van takes 6 hours to cover a distance of 288 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
A.50 Kmph
B.60 Kmph
C.32 Kmph
D.80 Kmph
Answer: C.32 Kmph
Explanation: Time = 6
Distence = 288
3/2 of 6 hours = 6 * 3/2 = 9 Hours
Required speed = 288/9 = 32 Kmph
C
Question: It is decided to construct a 2 metre broad pathway around a rectangular plot on the inside. If the area of the plots is 96 sq.m. and the rate of construction is Rs. 50 per square metre., what will be the total cost of the construction?
A.Rs.3500
B.Rs. 4200
C.Insufficient Data
D.Rs. 4400
Answer: C.Insufficient Data
Explanation: Explanation : Let length and width of the rectangular plot be l and b respectively
Total area of the rectangular plot = 96 sq.m.
=> lb = 96
Width of the pathway = 2 m
Length of the remaining area in the plot = (l - 4)
breadth of the remaining area in the plot = (b - 4)
Area of the remaining area in the plot = (l - 4)(b - 4)
Area of the pathway
= Total area of the rectangular plot - remaining area in the plot
= 96 - [(l - 4)(b - 4)] = 96 - [lb - 4l - 4b + 16] = 96 - [96 - 4l - 4b + 16] = 96 - 96 + 4l + 4b - 16
= 4l + 4b - 16
= 4(l + b) - 16
We do not know the values of l and b and hence area of the pathway cannot be found out. So we cannot determine total cost of the construction. Answer : Option C
Question: The true discount on a bill of Rs.540 is Rs.90.The banker's discount is
A.Rs.60
B.Rs.108
C.Rs.110
D.Rs.112
Answer: B.Rs.108
Explanation: Solution
P.W	= Rs.(540 - 90)
= Rs. 450
S.I on Rs. 540	=Rs.(90/450 x 540)
= Rs. 108.
Answer B
Question: A train running at 25 km/hr takes 50 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.
A.a) 200/3m175/3m
B.b) 36m178m
C.c) 50m45m
D.d) 100/3 m200/3
Answer: B.b) 36m178m
Explanation: Hi Math gurus correct me if I am wrong. I wondered i reached the answer mentioned here i.e 100m and 25m
lets solve it
To find out length of train the train, which is must cover the static point of the man as well as the distance covered the man during 12 sec.
The man covered the distance during 12sec is 5*5/50*12=6m so the train covered a distance in 12 sec= 25*5/50*12=30
so the length of the train(Lt) is 6+30=36m
Now crossing the platform means length of train+length of platform(Lt+p)= 50*25*5/50=125m Now the length of platform (Lp) is= 125-36=89m
So answer is 36m and 89m Must beBeven though its mentioned 36m and 178m thinking so typo mistake...........
Question: A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumption be 130 pounds?
A.8
B.14
C.12
D.9
Answer: B.14
Explanation: Ans is B:
39 pounds --> 6 days
130 pounds --> x days
x = 130*6/39 = 20
the animal has already consumed food in 6 days so the the number of days
for it's total consumption be 130 pounds is 20-6 = 14
Question: The sequence a1, a2, a3, a4. a5 is such that an = a n-1 +5 for 2≤ n ≤ 5. If a5 = 41 what is the value of a1 ?
A.1
B.6
C.21
D.16
Answer: C.21
Explanation: Here, each value of an is the previous value plus 5
Since the numbers are less, the fastest way to solve this problem is to successively subtract 5 from a5 till you reach a1
a5 = 41
a4 = 36
a3 = 31
a2 = 26
a1 = 21 <<<< Ans C
Question: If two positive numbers are in the ratio 1/7 : 1/4, then by what percent is the second number more than the first?
A.67%.
B.70%.
C.75%.
D.68%.
Answer: C.75%.
Explanation: Given ratio = 1/7 : 1/4 = 4 : 7
Let first number be 4x and the second number be 7x.
The second number is more than first number by 3x.
Required percentage = 3x/4x * 100 = 75%.
Answer: C
Question: There are 4 baskets. The first basket has 3 apples and 4 oranges, the second one has 4 apples and 5 mangoes, the third one has 6 Mangoes and 2 bananas and the last one has 7 bananas and 2 apples. If a fruit is randomly chosen from any basket and it comes out to be an apple, then what is the probability that it was taken out from the second basket?
A.27/69
B.28/69
C.29/69
D.25/69
Answer: B.28/69
Explanation: P(A|1)=3/7
P(A|2)=4/9
P(A|3)=0/8
P(A|4)=2/9
Hence event 1,2,3,4 are the partitions of the sample space.
The probability of choosing an apple, by the law of total probability
P(A)=P(A|1)P(1)+P(A|2)P(2)+P(A|3)P(3)+P(A|4)P(4)
=3/7*1/4+4/9*1/4+0/8*1/4+2/9*1/4
=23/84
By Baye's theorem,
P(2|A)=P(A|2)*P(2)/P(A)
=4/9*(1/4)/(23/84)
=28/69
ANSWER:B
Question: Convert the following unit:
2.3 hectares in ares
A.200 ares.
B.210 ares.
C.220 ares.
D.230 ares.
Answer: D.230 ares.
Explanation: 2.3 hectares in ares
1 hectare = 100 ares
Therefore, 2.3 hectares = 2.3 × 100 ares
= 230 ares.
ANSWER : OPTION D
Question: The area of a triangle will be when a = 2m, b = 4m, c = 6m, a, b, c being lengths of respective sides?
A.3
B.7
C.5
D.6
Answer: D.6
Explanation: S = (2 + 4 + 6)/2
= 6
Answer: D