RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A fellow borrowed a certain sum of money at 3% per annum at simple interest and in 3 years the interest amounted to Rs.1820 less than the sum lent. What was the sum lent?
A.1050
B.1220
C.1250
D.2000
Answer: D.2000
Explanation: P - 1820 = (P*3*3)/100
P = 2000
Answer: D
Question: If R = {1, 7, 18, 20, 29, 33}, how much less is the mean of the numbers in R than the median of the numbers in R?
A. 1.0
B. 1.5
C. 2.0
D. 2.5
Answer: A. 1.0
Explanation: This is a good question to understand the difference between mean and median.
Mean: Average of all the numbers. (Sum of all the elements divided by the number of elements)
Median: Arrange the elements of the set in increasing order. If the number of terms is odd, the middle term is the median. If the number of terms is even, the average of middle two terms is the median
Coming to this question,
Mean = (1 + 7 + 18 + 20 + 29 + 33)/6 = 18
Median = (18 + 20)/2 = 19
Difference = 1
Option A
Question: The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
A.30%
B.32%
C.40%
D.44%
Answer: D.44%
Explanation: Let original length = x metres and original breadth = y metres.
Original area = (xy) m2.
New length = 120	x	m	= 6	x	m.
100	5
New breadth = 120	y	m	= 6	y	m.
100	5
New Area = 6	x x	6	y	m2	= 36	xy	m2.
5	5	25
The difference between the original area = xy and new-area 36/25 xy is
= (36/25)xy - xy
= xy(36/25 - 1)
= xy(11/25) or (11/25)xy
Increase % = 11	xy x	1	x 100	%	= 44%.
25	xy
D
Question: Equal weights of two alloys containing tin, copper and lead in the ratio 3:2:7 and 4:11:3 are melted and mixed together. What is the ratio of tin, copper and lead in the resultant alloy?
A.41:81:37
B.33:91:81
C.17:28:27
D.51:86:89
Answer: C.17:28:27
Explanation: Exp. Let the weight of the two alloys be w each
Required ratio =
(3w/12 +4w/18): ( 2w/12 +11w/18 ): (7w/12+3w/18)
= 17w/36 : 28w/36 : 27w/36
= 17:28: 27
Answer: C
Question: The cost of fuming the engine of an army tank is proportional to the square of the speed and Rs 64 per hour for a speed of 16km/hr. Other costs amount to Rs 400 per hour. The tank has to make a journey of 400km at a constant speed.The most economical speed for this journey is :
A.20 km/hr
B.30 km/hr
C.35 km/hr
D.40 km/hr
Answer: D.40 km/hr
Explanation: Explanation :
Cost = k2×speed2[ Where k is constant], And
=>64 = k×16×16
=>k=1/4.
=>cost=speed2 /4.
Total cost=[(speed2/4)+400]×400/speed
using options, putting different values of speed, we find speed = 40km/hr to be most economical.
Answer : D
Question: Two tains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 125 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
A.6
B.14
C.16
D.20
Answer: A.6
Explanation: Sol.
Speed of the first train = [150 / 10] m/sec = 15 m/sec.
Speed of the second train = [150 / 15] m/sec = 10 m/sec.
Relative speed = (15 + 10) = m/sec = 25 m/sec.
∴ Required time = (125 + 125) / 25 secc = 6 sec.
Answer A
Question: A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
A.45
B.37
C.29
D.26
Answer: A.45
Explanation: A:B:C = (10×7):(12×5):(15×3)
= 70 :60 :45
= 14 :12 :9
C's rent = Rs.(175×9/35)
=Rs. 45.
Answer: A
Question: A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
A.1,250 meters / minute
B.1,350 meters / minute
C.1,450 meters / minute
D.1,550 meters / minute
Answer: A.1,250 meters / minute
Explanation: Convert hour into minutes ( 1 hour = 60 minutes) and kilometers into meters (1 km = 1000 m) and simplify
75 kilometers per hour = 75 km/hr
= (75 * 1000 meters) / (60 minutes) = 1,250 meters / minute
correct answer A
Question: Antony can divide his herd into 5 equal parts and also to 6 equal parts, but not to 9 equal parts. What could be the number of cows Antony has in his herd?
A.155
B.120
C.456
D.180
Answer: B.120
Explanation: On first look B,C,E are not divisible either by 5 or 6 - ruled out.
D,B divisible by both 5,6, but 180 is divisible by 9.
Answer : B
Question: Thomas has age that is twice of Matt now, two years from now Thomas's age would be 1.5 times that of Matt. How old is the Matt now?
A.2
B.6
C.8
D.12
Answer: A.2
Explanation: Lets assume the age of Matt be x, so that makes Thomas's age y.
From 2 years from now (y+2)=1.5(x+2)
and y is 2x, so substituting we get (2x+2)=1.5x+3
.5x=1 and it makes x=2.
Matt's current is 2
Answer:A
Question: The difference between a number and its three-fifth is 50. What is the number?
A.75
B.100
C.125
D.150
Answer: C.125
Explanation: Let the number be x. Then,
x - 3/5 x = 50 => 2/5 x = 50
x = (50 * 5)/2 = 125.
ANSWER:C
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is?
A.5/18
B.5/12
C.5/17
D.5/11
Answer: B.5/12
Explanation: Using question number 11 and 12, we get the probability as
1 - (1/36 + 5/9)
= 5/12
Answer:B
Question: If after 100 grams of water were added to the 20%-solution of alcohol, the strength of the solution decreased by one-fourth, how much of the 20%-solution was used?
A.300
B.250
C.150
D.200
Answer: A.300
Explanation: The 20% alcohol solution decreases by 1/4 once the 100 grams of water is added so 100/.05 =2000*.15% (3/4 of 20%) is 300 grams.
answer is A
Question: Cindy paddles her kayak upstream at b kilometers per hour, and then returns downstream the same distance at n kilometers per hour. How many kilometers upstream did she travel if she spent a total of p hours for the round trip?
A.bnp
B.bn/p
C.(b + n)/p
D.bnp/(b + n)
Answer: D.bnp/(b + n)
Explanation: let t1 and t2 be the time taken to row upstream and downstream respectively
now,
t1=distance/speed=d/b
similarly,
t2=d/n (as same distance has to be rowed)
also,
t1+t2=p
therefore,
p=(d/b)+(d/n)
=d(b+n)/bn
d=pbn/(b+n)=D
Question: Which of the following points is symmetric with y=x at (-3,-4)?
A.(-2,-1)
B.(-4,-3)
C.(2,1)
D.(-1,-2)
Answer: B.(-4,-3)
Explanation: We can think of line y = x as a mirror. Any point (x,y) becomes (y,x) when it isreflectedover the mirror. Reverse the coordinate and keep the same sign. These two points will be symmetric to the line y = x.
(-3,-4) would become (-4,-3).
Answer (B).
Question: Narendra started a business, investing 40000. Six months later, Chandan joined him with 20000. If they make a profit of 10000 at the end of the year, what should be the share of Narendra?
A.A)Rs.7000
B.B)Rs.8000
C.C)Rs.8500
D.D)Rs.8600
Answer: B.B)Rs.8000
Explanation: The ratio of their investments = 40000 × 12 : 20000 × 6 = 4 : 1.
:. Narendra’s share on profit of Rs.10000 = 10000 × 4/5 = Rs.8000.
B)
Question: If the average cost of a house was $40,000 in 1965 and was x in 2005, what was the average increase in home prices per year over this period?
A.A)(x+50,000)/40
B.B)(x-40,000)/40
C.C)(50,000/40)+x
D.D)(50,000-x)/40
Answer: B.B)(x-40,000)/40
Explanation: Average house price in 2005: x
Average house price in 1965: 40,000
2005-1965=40
Average increase per year: (x-40,000)/40
Answer is B
Question: In a right isosceles triangle, the lengths of the two nonhypotenuse sides are designated a. What is the area of the triangle in terms of a?
A.1/3*a^2
B.√2/3∗a^2
C.1/2*a^2
D.√3/2∗a^2
Answer: C.1/2*a^2
Explanation: Since it is right angled isosceles triangle then other two sides will be equal let's say a and a and third side be c
Area of triangle is 1/2*b*h = 1/2*a*a .
option C is correct answer.
Question: If 3 people can do 3 times of a particular work in 3 days, then how many days would it take 9 people to do 9 times of that particular work?
A.1
B.2
C.3
D.9
Answer: C.3
Explanation: 3 people can do the work one time in one day.
1 person can do 1/3 of the work in one day.
9 people can do 9/3 of the work in one day.
9 people can do 9 times the work in 3 days.
The answer is C.
Question: If cost of sugar increases by 50%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
A.33%
B.50%
C.20%
D.90%
Answer: A.33%
Explanation: 100
150
-----
150 ----- 50
100 ------ ? => 33%
Answer: A
Question: The set X = {7,8,9,10}. The set Y = {2,3,4,5}. We will randomly choose one element x from set X and one element y from set Y. What is the probability that x / y will be an integer?
A.7/16
B.5/16
C.3/16
D.7/8
Answer: B.5/16
Explanation: The total number of x and y pairs is 4*4=16.
There are five pairs such that x / y is an integer.
The probability that x / y is an integer is 5/16.
The answer is B.
Question: It takes one machine to paint 1000 sq.m. surface in 24 minutes.Another machine does the same job in 40 seconds.How much time will it take if both machines are put on the same work?
A.10.0 seconds
B.20.0 seconds
C.38.9 seconds
D.40.0 seconds
Answer: C.38.9 seconds
Explanation: By guess it is clear that the time taken will be less than 40 seconds and very near to it. Therefore, answer 38.9 seconds will be correct. Answer-C
Question: Over a three-week period, the price of an ounce of gold increased by 10% in the first week, decreased by 20% in the following week, and increased by 30% in the third week. If the price of gold was G dollars per ounce at the beginning of the three weeks, what was the price at the end of the three weeks?
A.1.124G
B.1.144G
C.1.164G
D.1.184G
Answer: B.1.144G
Explanation: After 3 weeks, the price was 1.3*0.8*1.1*G=1.144G
The answer is B.
Question: The pilot of a small aircraft with a 60-gallon fuel tank wants to fly to Cleveland, which is 480 miles away. The pilot recognizes that the current engine, which can fly only 10 miles per gallon, will not get him there. By how many miles per gallon must the aircraft’s fuel efficiency be improved to make the flight to Cleveland possible?
A.5
B.12
C.2
D.4
Answer: C.2
Explanation: Actual miles/gallon is = 480/60 = 8 miles/gallon.
Current engine miles/gallon is 10 miles/gallon.
Additional 2 miles/gallon is required to match the actual mileage.
ANSWER:C
Question: a^2*b^2+a^2+b^2=259
b^2*c^2+b^2+c^2=1299
c^2*a^2+c^2+a^2=499
then find a+b+c=?
A.13
B.14
C.15
D.16
Answer: C.15
Explanation: a^2*b^2+a^2+b^2+1= (a^2+1)(b^2+1)
by using above one we can write
a^2*b^2+a^2+b^2+1=260..(1)
b^2*c^2+b^2+c^2+1=1300..(2)
c^2*a^2+c^2+a^2+1=500..(3)
by doing (1)/(2) we will get a^2+1/c^2+1 = 1/5..(4)
by doing (4)*(3) we will get (a^2+1)^2=10,
by solving a=3, b=5,c=7
so a+b+c=15
ANSWER:C
Question: There are 4 books on fairy tales, 5 novels and 3 plays. In how many ways can you arrange these so that books on fairy tales are together, novels are together and plays are together and in the order, books on fairy tales, novels and plays.
A.17200
B.17250
C.17280
D.17300
Answer: C.17280
Explanation: There are 4 books on fairy tales and they have to be put together.
They can be arranged in 4! ways.
Similarly, there are 5 novels.
They can be arranged in 5! ways.
And there are 3 plays.
They can be arranged in 3! ways.
So, by the counting principle all of them together can be arranged in 4!×5!×3!=4!×5!×3!= 17280 ways
Option is C
Question: One side of a rectangular field is 15 m and one of its diagonal is 17 m. Find the area of the field.
A.100
B.120
C.150
D.180
Answer: B.120
Explanation: Solution
Other side = √(17)2 - (15)2
= √289 - 225
= √64
= 8 m.
∴ Area = (15 x 8)m2 = 120 m2.
Answer B
Question: A hollow cube of size 5cm is taken, with the thickness of 1cm. It is made of smaller cubes of size 1cm .If the outer surface of the cube is painted how many faces of the smaller cubes remain unpainted?
A.408
B.418
C.428
D.438
Answer: D.438
Explanation: first the number of cubes....
the hollow cube size 5 cm.thickness 1c.m. so the total no. of unit cubes neede to build one face is 16 cubes..so total no. of cubes (5*16+9*2)=98
the total no. of faces unpainted(98*6 - 25*6)=438
ANSWER:D
Question: The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction?
A.5/11
B.4/11
C.3/11
D.6/45
Answer: C.3/11
Explanation: The denominator be P, the numerator will be (P - 8).
The fraction will be (P - 8)/P.
Adding 3 to the numerator and subtracting 3 from the denominator, (P - 8 + 3)/(P - 3) = 3/4.
(P - 5)/(P - 3) = 3/4
P = 20 - 9 => P = 11.
The fraction is: 3/11.
Answer: C
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
A.3377
B.2899
C.2500
D.2778
Answer: C.2500
Explanation: A:B:C = 2/3:1/6:1/6 = 4:1:1
x * 2/100 * 2/3 = 200
B capital = 15000*1/6 = 2500
Answer: C
Question: A positive integer, which when added to 1000, gives a sum which is greater than when it is multiplied by 1000. This positive integer is
A.1
B.3
C.5
D.7
Answer: A.1
Explanation: Solution
(1000 + N) > (1000N)
Clearly, N=1.
Answer A
Question: If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to
A.143
B.150
C.123.75
D.140.55
Answer: C.123.75
Explanation: Solution
y = 125 + 10% of 125
= 125 + 12.50 = 137.50.
x = 137.50 - 10% of 137.50
= 137.50 - 13.75
= 123.75.
Answer C
Question: Solution P is 20 percent lemonade and 80 percent carbonated water by volume; solution Q is 45 percent lemonade and 55 percent carbonated water by volume. If a mixture of PQ contains 75 percent carbonated water, what percent of the volume of the mixture is P?
A.40%
B.50%
C.60%
D.80%
Answer: D.80%
Explanation: 75% is 5%-points below 80% and 20%-points above 55%.
So the ratio of solution P to solution Q is 4:1.
Mixture P is 4/5 = 80% of the volume of mixture PQ.
The answer is D.
Question: Three cubes of iron whose edges are 6cm, 8cm and 10cm respectively are melted and formed into a single cube. The edge of the new cube formed is
A.10 cm
B.12 cm
C.16 cm
D.18 cm
Answer: B.12 cm
Explanation: Sol.
Volume of the new cube
= (63 + 83 + 103) cm3
= 1728cm3.
Let the edge of the new cube be a cm.
∴ a3 = 1728
⇒ a = 12.
Answer B
Question: which of the following options is the correct value of r, given the equation 6^r +1^(-r) = 217?
A.5
B.7
C.3
D.2
Answer: C.3
Explanation: Plugging in the various option into the equation to find out which is correct:
6^r +1^(-r) = 217
6^3 +1^(-3) = 217 Ans. C
Question: Which of the following is equal to 2^k*3^(k-1)?
A.2*6^(k-1)
B.3*6^(k-1)
C.6^k
D.2*6^k
Answer: A.2*6^(k-1)
Explanation: 2^k*3^(k-1) = 2*2^(k-1)*3^(k-1) = 2*6^(k-1)
The answer is A.
Question: A does half as much work as B in three- fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it?
A.30 days
B.35 days
C.40 days
D.45 days
Answer: A.30 days
Explanation: Explanation:
Let ‘x’ be the number of days taken by B alone to finish the whole work
Then, A alone will finish the whole work in 3x/4 × 2 days = 3x/2 days.
Then, working together,
3x/2 × x/3x/2 + x = 18 days
3x × x/5x = 18
3x/5 = 18
Therefore, the number of days taken by B = x = 18 × 5/3 = 30 days.
Answer: Option A
Question: A number a is squared and then multiplied by negative 1. The result of this operation is equal to 2 times the sum of 4 times a and 8. What is one possible value of a ?
A.1
B.2
C.4
D.8
Answer: C.4
Explanation: -1*a^2=2(4a+8)
a= -4 or -4
a=-4=B
ANSWER:C
Question: 2 persons allotted to one work. John can do piece of work in 30 days while Bruce alone can do it in 40 days. In how many days can John and Bruce working together to do it?
A.17 2/7days
B.17 1/7days
C.17 3/5days
D.18 1/7days
Answer: B.17 1/7days
Explanation: Therefore John′s one day’s work = 130
Bruce′
s one day’s work = 140
(A+B)′
s one day’s work = 130+140
4+3120=7120
Number of days required for John
and Bruce to finish the work = 17/120=17 1/7days
B
Question: A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?
A.2/4
B.3/4
C.4/5
D.5/6
Answer: B.3/4
Explanation: consider A,B,C events and AA,BB,CC not solving the problems
now P(1)=1/2, P(B)=2/3 and P(C)=1/4
Not solving events =1/2*2/3*3/4
==>1-1/4= 3/4
ANSWER B
Question: If in a race of 100m, A covers the distance in 20 seconds and B in 25 seconds, then A beats B by:
A.20m
B.16m
C.11m
D.10m
Answer: A.20m
Explanation: Explanation:
The difference in the timing of A and B is 5 seconds. Hence, A beats B by 5 seconds.
The distance covered by B in 5 seconds = (100 * 5) / 25 = 20m
Hence, A beats B by 20m.
ANSWER A
Question: The sequence of numbers a1, a2, a3, ..., an is defined by an = 1/n - 1/(n+2) for each integer n >= 1. What is the sum of the first 30 terms of this sequence?
A.1/30-1/32
B.1 - (1/30 + 1/30)
C.(1+1/2) – (1/31 +1/ 32)
D.1 - 1/32
Answer: C.(1+1/2) – (1/31 +1/ 32)
Explanation: The answer would most certainly be[C]. But the question needs a slight modification.n>=1, since the answer does consider a1 under the sum.
The sequence is :
a1 = 1-1/3
a2 = 1/2 - 1/4
a3 = 1/3 - 1/5....
We can observe that the third term in the sequence cancels the negative term in the first. A similar approach can be seen on all the terms and we would be left with 1 + 1/2 from a1 and a2 along with -1/32 and -1/31 from a30 and a29 term which could not be cancelled.
Hence the sum = (1+1/2) – (1/31 +1/ 32)
Answer : C
Question: Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?
A.2 kg
B.2.4 kg
C.2.5 kg
D.10 kg
Answer: C.2.5 kg
Explanation: The weight of non-water in 20 kg of fresh grapes (which is 100-90=10% of whole weight) will be the same as the weight of non-water in x kg of dried grapes (which is 100-20=80% of whole weight), so 20∗0.1=x∗0.8--> x=2.5
Answer: C.
Question: The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
A.802
B.800
C.829
D.389
Answer: B.800
Explanation: Area of the square = s * s = 5(125 * 64)
=> s = 25 * 8 = 200 cm
Perimeter of the square = 4 * 200
= 800 cm.
Answer: B
Question: Solve This
6 + 7 = 12
8 + 9 = 16
5 + 6 = 10
7 + 8 = 14
Then, 10 + 5 = ??
A.11
B.12
C.13
D.14
Answer: D.14
Explanation: 14
ANSWER:D
Question: In a group of 250 readers who read science fiction or literacy works or both, 180 read science fiction and 88 read literacy works. How many read both science fiction and literacy works?
A.268
B.180
C.150
D.18
Answer: D.18
Explanation: Consider total number of reader n(S U L) = 250
People who read science fiction n(S) = 180
People who read literacy works n(L) = 88
both science fiction and literacy n(S âˆ© L) = ?
n(S U L) = n(S)+ n(L) - n(S âˆ© L)
250 = 180 + 88 - n(S âˆ© L)
n(S âˆ© L) = 268 - 250
n(S âˆ© L) = 18
SO People read both science fiction and literacy works are 18
ANSWER:D
Question: At Veridux Corporation, there are 180 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 135 male associates, how many female managers are there?
A.95
B.20
C.85
D.75
Answer: C.85
Explanation: Well, first letâ€™s take care of the â€œtotalsâ€. The numbers in the â€œtotalsâ€ row must add up. If 90 are females, the other 180 â€“ 90 = 90 must be males. Similarly, the numbers in the â€œtotalsâ€ column must add up. If 40 are managers, then the other 180 â€“ 40 = 140 must be associates.
Now, in the â€œassociateâ€ row, 135 + E = 140, which means E = 5 â€” the other 5 associates must be female.
Now, to find B, which is what the question is asking, we need only look at the sum in the â€œfemaleâ€ column: B +5 = 90, which means B = 85. There are fifteen female managers in this company. Thus, the answer = (C).
Question: Two electric trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
A.10 sec
B.30 sec
C.40 sec
D.20 s
Answer: D.20 s
Explanation: D
Relative speed = (42 + 30) * 5/18 = 4 * 5 = 20 mps.
Distance covered in passing each other = 120 + 280 = 400 m.
The time required = d/s = 400/20 = 20 s.
Question: A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many V cubes are painted on only 2 faces?
A.12
B.8
C.6
D.10
Answer: A.12
Explanation: 1) Draw a simple cube
2) Draw 9 squares on each face of the cube (so that it looks like a Rubik's Cube) - this is what the cube will look like when it's cut into 27 equal smaller cubes.
3) Remember that the OUTSIDE of the cube is the part that's painted....
The mini-cubes with 2 painted sides are ALL on the edge of the cube, in themiddleof the edge. There are 4 in front, 4 in back and 4 more on thestripthat runs around the left/top/right/bottom of the cube. V=4 + 4 + 4 = 12. Answer A
Question: 2n boys are randomly divided into two sub-groups containing n boys each. Find the probability that two TOP RANK-HOLDER are in differed groups.
A.(n-1) / 2n
B.(n-1) / (2n-1)
C.n / (2n-1)
D.None of these
Answer: B.(n-1) / (2n-1)
Explanation: Explanation :
Without restriction
No. of ways to divide 2n boys into 2 equal groups having n boys each = 2nCn x nCn.
With restriction,
No. of ways to have two top ranks-holder in different group = 2n-2Cn-1 x n-1Cn-1 x 2!.
( i.e separate two top rankers and then make two groups out of (2n - 2) boys.
The required probability
= Selections with restriction / Selections without restriction .
= (2n-2Cn-1 x n-1Cn-1 x 2! ) / (2nCn x nCn ).
= { (2n-2)! / [ (n-1)! x (n-1)! ] } x 2! / (2n! / ( n! x n! ) ) .
= (n-1) / 2n - 1.
Hence, the probability is (n-1) / (2n-1).
Answer : B
Question: Two brothers took the GMAT exam, the higher score is M and the lower one is N. If the difference between the two scores is equal to their average, what is the value of N/M ?
A.3
B.2
C.1/2
D.1/3
Answer: D.1/3
Explanation: M - N = (M + N)/2
Solving for N/M = 1/3
D
Question: Find the average of all the numbers between 6 and 34 which are divisible by 5
A.45
B.20
C.25
D.27
Answer: B.20
Explanation: Average = (10 + 15 + 20 + 25 + 30)/5
= 100/5 = 20.
Answer:B
Question: In an animal behavior experiment, 50 tagged white pigeons and 200 tagged gray pigeons were released from a laboratory. Within one week, 90 percent of the white pigeons and 80.5 percent of the gray pigeons had returned to the laboratory. What percent of the total number of pigeons returned to the laboratory?
A.80.5
B.82.4
C.82.5
D.85
Answer: B.82.4
Explanation: Weighted mix method is best here....
Ratio is 1:4 for 90:80.5...
So the answer required = 80.5+ (90-80.5)*1/5=80.5+9.5*1/5
80.5+1.9=82.4
B
Question: Price of a product is reduced by 30% . What percentage should be increased to make it 100%
A.22.85%
B.32.85%
C.42.85%
D.52.85%
Answer: C.42.85%
Explanation: Lets Assume 100 as Price of the Product.
After reduced by 30%, value becomes 70.
To Make it 100%, The percentage which we need to increase is
(100-70)/70 = 42.85%
we need to increase by 42.85%
ANSWER:C
Question: Rates for having a manuscript typed at a certain typing service are $10 per page for the first time a page is typed and $6 per page each time a page is revised. If a certain manuscript has 100 pages, of which 40 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
A.$430
B.$1620
C.$1650
D.$1110
Answer: D.$1110
Explanation: For 100-40-10=50 pages only cost is 10$ per page for the first time page is typed - 50*10=500$;
For 40 pages the cost is: first time 5$ + 6$ of the first revision - 40*(5+6)=440$;
For 10 pages the cost is: first time 5$ + 6$ of the first revision + 6$ of the second revision - 10(5+6+6)=170$;
Total: 500+440+170=1110$.
Answer: D.
Question: Today is Saturday. A person wants to meet a lawyer and as that lawyer is busy he asks him to come three days after the before day of the day after tomorrow? On which day the lawyer asks the person to come?
A.SUNDAY
B.MONDAY
C.TUESDAY
D.WEDNESDAY
Answer: D.WEDNESDAY
Explanation: Today is saturday
after three days--->TUESDAY
now, (tuesday)after before day--->MONDAY
then, (monday)day after tomorrow--->WEDNESDAY
ANSWER:D