RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A class contains five juniors and five seniors. If one member of the class is assigned at random to present a paper on a certain subject, and another member of the class is randomly assigned to assist him, what is the probability E that both will be juniors?
A.1/10
B.1/5
C.2/9
D.2/5
Answer: C.2/9
Explanation: I think you're right. The other way to do it (but the long way) is to figure out the probability that it is not two Juniors.
2 seniors = P(Senior) * P(Senior) = 2/9
1 Senior and 1 Junior = (1/2) *(5/9)*2 = 5/9
Probability that it is not two Juniors is 5/9+2/9 = 7/9 so the probability E that it is two juniors is 1- (7/9) = 2/9.C
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
A.26
B.32
C.72
D.88
Answer: B.32
Explanation: A/8 = 8 * 8 => A = 8 * 8 * 8
x * 2x = 8 * 8 * 8
x = 16 => 2x = 32
Answer: B
Question: A rectangular tiled patio is composed of 126 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 126 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout?
A.5
B.6
C.9
D.13
Answer: C.9
Explanation: Suppose there are c columns and there are r rows
Original Situation
So, Number of tiles = c*r = 126
Also. Reach column has r tiles and each row has c tiles
New Situation
Number of tiles in each column is r-2 and number of tiles in each row is c+4
So, number of rows = r-2 and number of columns is c+4
So, Number of tiles = (r-2)*(c+4) = 126
Comparing both of them we get
c*r = (r-2)*(c+4)
=> 4r -2c = 8
c = 2r - 4
Putting it in c*r=126
(2r-4)*r = 126
2r^2 - 4r - 126=0
r cannot be negative so r = 9
and c = 14
So, Answer will be C
Question: Which of the following is closest to (-6/7)^199？
A.-1
B.-1/2
C.0
D.1
Answer: C.0
Explanation: (-6/7)^4 = 1296/2401 which is already close to 1/2.
For larger exponents, the expression will get closer and closer to zero.
The answer is C.
Question: In a partnership between A, B and C. A's capital is Rs.8000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
A.23676
B.19766
C.29172
D.18800
Answer: D.18800
Explanation: Explanation:
200 + 130 = 330
800 - 330 = 470
200 ---- 8000
470 ---- ? => 18800
Answer:D
Question: If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 4340 , R will receive
A.600
B.700
C.840
D.900
Answer: C.840
Explanation: Explanation :
Let P's capital = p, Q's capital = q and R's capital = r
Then
4p = 6q = 10r
=> 2p = 3q = 5r
=>q = 2p/3
r = 2p/5
P : Q : R = p : 2p/3 : 2p/5
= 15 : 10 : 6
R's share = 4340 * (6/31) = 140*6 = 840. Answer : Option C
Question: If w and b are positive numbers, and w^3 + b^3 = 75, then the greatest possible value of w is between:
A.0 and 3
B.3 and 5
C.4 and 5
D.5 and 7
Answer: C.4 and 5
Explanation: Yes the question is ambiguous, and the answer is certainly not C between 4 and 5 .
The question stated: w and b are positive numbers but not positive integers.
so fractions are allowed to be a part of calculation.
So if the answer is C then the value 4.5 = 9/2 must comply the equation.
(9/2)^3 + b^3 = 75
so, b^3 = -129/8 , which is not possible according to the question.
Moreover the question didn't mentioninclusive or not, so we can't assume that b is 4 .
hi asif,
question is correct IMO.
Sincemaximumvalues areuniqueso you cant take any value and make it satisfy with equation
question is asking that maximum value ofa(means that unique value ofa) is between...
its not saying all value of that range will satisfy.
Question: When 75% of a number is added to 75, the result is the same number. The number is
A.150
B.150
C.100
D.450
Answer: B.150
Explanation: Let the number be equal to x.
3x/4 +75 = x
Hence x=300
Answer: B.
Question: Two employees A and B are paid a total of Rs. 550 per week by their employer. If A is paid 120 percent of the sum paid to B, how much is B paid per week?
A.Rs.150
B.Rs.190
C.Rs.200
D.Rs.250
Answer: D.Rs.250
Explanation: Let the amount paid to A per week = x
and the amount paid to B per week = y
Then x + y = 550
But x = 120% of y = 120y/100 = 12y/10
∴12y/10 + y = 550
⇒ y[12/10 + 1] = 550
⇒ 22y/10 = 550
⇒ 22y = 5500
⇒ y = 5500/22 = 500/2 = Rs.250
D)
Question: A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
A.10%
B.12%
C.14%
D.20%
Answer: B.12%
Explanation: Original price = 100
CP = 80
S = 80*(140/100) = 112
100 - 112 = 12%
B)
Question: Nil and Ethan are brothers. They left their home
at the same time and drove to the same beach.
Nil drove at a speed of 80 miles per hour. Ethan
drove at a speed of 20 miles per hour. Nil
arrived at the beach 0.5 hour earlier than Ethan.
What is the distance between their home and the
beach?
A.70 miles
B.80 miles
C.90 miles
D.100 miles
Answer: B.80 miles
Explanation: Every hour, Nil gets ahead of Ethan 80 - 20 =
60 miles. When Nil arrived at the beach, Ethan
is only 20 × 0.5 = 10 miles behind. That tells us
they only drove 1 hour when Nil arrived at the
beach.
The distance between their home and the beach
is
Nil’s speed × Nil’s time
= 80 × 1 = 80 miles.
correct answer B
Question: Solve the equation for x : 6x - 87 + 3x = 4 + 9 - x
A.12
B.5
C.10
D.9
Answer: C.10
Explanation: C
10
9 x + x = 13 + 87
10 x = 100 => x = 10
Question: An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of:
A.300 kmph
B.360 kmph
C.600 kmph
D.720 kmph
Answer: D.720 kmph
Explanation: Explanation:
Distance = (240 x 5) = 1200 km.
Speed = Distance/Time
Speed = 1200/(5/3) km/hr.
Required speed =(1200 X 3/5)km/hr	= 720 km/hr.
ANSWER IS D
Question: The sum P of the arithmetic sequence a, a+d, a+2d,..., a+(n-1)d is give by Pn = (n/2)*(2a + n-1)d. What is the sum of the integers 1 to 100 inclusive, with the even integers between 25 and 63 omitted.
A.4345
B.4302
C.4258
D.4214
Answer: D.4214
Explanation: a method to do it under one minutes is to take advantage of the choices given...
lets work on the last digit as we have different units digit in each choice...
total sum of 1 to 100 inclusive will have 0 as the last digit..
this is so because the resultant will be 10*(sum of all single digits)... and since we are multiplying by 10,units digit will be 0...
now for single digit in sum of even number from 25 to 63..
25 to 65 will have 4 times sum of single digit even int, 4*(2+4+6+8+0)=4*20..
here too the units digit is 0, but 64 has to be excluded from the total..
two ways from here on..
1) we are subtracting 0 from 0
so units digit should be 0, but we have to add 64..
so last/units digit =4..
2)we subtract 64 from sum P of even int..
so units digit=80-4=76..
or units digit =6...
so our answer should have units digit as 10-6=4..
only D has 4 as units digit..
ans D
Question: If each year the population of the country grows by 30%, how many years will elapse before the population of the country doubles?
A.2
B.4
C.5
D.3
Answer: D.3
Explanation: Till Year 2000, population is 100 .
Year 2001: Population becomes 130 ............. 1 Year elapsed
Year 2002: Population becomes 169 ............. 2 Year elapsed
Year 2004: Population > 200 .................. 3 year elapsed
Answer:D
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
A.Rs.1014
B.Rs.1140
C.Rs.999
D.Rs.1085
Answer: C.Rs.999
Explanation: a2 = 3136 => a = 56
56 * 4 * 3 = 672 – 6 = 666 * 1.5 = 999
ANSWER:C
Question: John read the quarter of the time that Tom read. Tom read only two-fifth of the time that Sasha read. Sasha read twice as long as Mike. If Mike read 5 hours, how long did John read?
A.2 hours
B.4 hours
C.1 hours
D.5 hours
Answer: C.1 hours
Explanation: Mike read 5 hours. Sasha read twice as long as Mike. Hence Sasha read:
2 * 5 = 10 hours
Tom read two-fifths of the time that Sasha read. Hence Tom read:
(2 / 5) * 10 = 4 hours
John read the quarter of the time that Tom read. Hence John read:
(1 / 4) * 4 = 1 hour
correct answer C
Question: The ratio of the number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls be 20% and 10% respectively. What will be the new ratio?
A.21:29
B.21:27
C.21:22
D.21:23
Answer: C.21:22
Explanation: Originally, let the number of boys and girls in the college be 7x and 8x respectively.
Their increased number is (120% of 7x) and (110% of 8x).
i.e., (120/100 * 7x) and (110/100 * 8x)
i.e., 42x/5 and 44x/5
Required ratio = 42x/5 : 44x/5 = 21:22
Answer: C
Question: Given a certain positive integer X, if x is divided by 5 the remainder is 3 and if it is divided by 7 the remainder is 5. What is the remainder when x is divided by 30.
A.5
B.Between 1 and 4, inclusive
C.Between 5 and 10, inclusive
D.Between 10 and 12, inclusive
Answer: B.Between 1 and 4, inclusive
Explanation: Put in real numbers.
Given number x
5x+3 = 7x+5
Start 5x+3 --> 8, 13, 18, 23, 28, 33,....
Of these only 33 fit the description 7x+5. The remainder when divided by 30 is 3. So answer is B).
If there is a purely algebraic way, please tell.
Answer = B)
Question: If f(x)=2^x and x is a natural number, what CANNOT be the answer to f(x)?
A.2
B.3
C.4
D.8
Answer: B.3
Explanation: There is no possible way for a 2 raised to a natural number power to be equal to 3, so the answer is B.
Question: A certain stationary store arranges notebooks on display such that each of the seven different colors of notebooks white,yellow, orange, green, red, blue, and purple are consecutive in a repeating pattern. If eight consecutively displayed notebooks are purchased, what is the probability that two of the notebooks are purple?
A.1/49
B.1/8
C.1/7
D.2/7
Answer: C.1/7
Explanation: After white,yellow, orange, green, red, blue, and purple, the next book can be of any given seven colours, therefore we have total seven possibilities, out of which we need purple i.e. 1 therefore prob is 1/7
Answer:C
Question: In the xy-coordinate system, if (m, n) and (m + 5, n + k) are two points on the line with the equation x = 2y + 5, then k =
A.1/2
B.1
C.2
D.5/2
Answer: D.5/2
Explanation: Since (m, n) and (m + 2, n + k) are two points on the line with the equation x = 2y + 5 they should satisfy m=2n +5 and m+5 =2 *(n+k)+5.
By 1st equation we have m-2n=5 and by 2nd equation m-2n = 2k ---> 5=2k --->k=5/2.
The answer is, therefore, (D).
Question: A and B together invested Rs. 15,000 in a business. At the end of the year, out of total profit is Rs. 3,000 B's share was Rs. 1000. A's investment was
A.s. 4,500
B.s. 8,250
C.s. 9,500
D.s. 10,000
Answer: D.s. 10,000
Explanation: A+B=15000
total profit=3000
3000-1000=2000
2000;1000=2:1
then 2*15000/3=10000
ANSWER:D
Question: A certain company employs 5 senior officers and 4 junior officers. If a committee is to be created, that is made up of 3 senior officers and 1 junior officer, how many different committee are possible?
A.8
B.24
C.58
D.40
Answer: D.40
Explanation: Number of ways to select 3 senior officers from 5 of them = 5C3 = 10 ways
Next we can determine the number of ways to select 1 junior officer.
number of ways to select 1 junior officer from 4 of them = 4C1 = 4 ways
Thus the number of ways to select 3 senior officers and 1 junior officer is 10 x 4 = 40 ways.
Answer: D
Question: If a positive odd integer N has p positive factors, how many positive factors will 5N have ?
A.p
B.2p
C.P+1
D.2p+1
Answer: D.2p+1
Explanation: I have added some extra text to make this question more GMAT-like:
Let's TEST some values of N
Try N = 3
The factors of 3 are {1, 3}. Here, p =2
So, 2N = (2)(3) = 6
The factors of 6 are {1, 2, 3, 6}. So, we have a total of4
Now check the answer choices:
A) p =2No good. We want an output of4. ELIMINATE
B) 2p = (2)(2) = 4. PERFECT! KEEP B
C) P+1 =2+ 1 = 3 No good. We want an output of4. ELIMINATE
D) 2p+1 = (2)(2) + 1 = 5 No good. We want an output of4. ELIMINATE
E) Cannot be determined. POSSIBLE. KEEP E
Let's TEST another value of N
Try N = 7
The factors of 7 are {1, 7}. Here, p =2
So, 2N = (2)(7) = 14
The factors of 14 are {1, 2, 7, 14}. So, we have a total of4
Now check the REMAINING answer choices:
B) 2p = (2)(2) =4. PERFECT! KEEP B
E) Cannot be determined. POSSIBLE. KEEP E
Let's TEST one more (non-prime) value of N
Try N = 9
The factors of 9 are {1, 3, 9}. Here, p =3
So, 2N = (2)(9) = 18
The factors of 18 are {1, 2, 3, 6, 9}. So, we have a total of6
Now check the REMAINING answer choices:
B) 2p = (2)(3) =6. PERFECT! KEEP B
E) Cannot be determined. POSSIBLE. KEEP E
At this point, it SEEMS LIKELY that the correct answer is D
Question: In how many seconds will a train 180 meters long pass an oak tree, if the speed of the train is 54 km/hr?
A.10
B.12
C.14
D.16
Answer: B.12
Explanation: speed = 54 * 5/18 = 15 m/s
time = 180/15 = 12 seconds
The answer is B.
Question: A full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. Oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. If the truck's tank has a radius of 5 feet and a height of 12 feet, how far (in feet) did the oil level drop in the stationary tank?
A.2.5
B.0.025
C.0.05
D.0.03
Answer: D.0.03
Explanation: The volume of oil pumped to the tank = The volume of oil taken away from stationary cylinder.
pi*25*12 = pi*h*100*100 (h is distance that the oil level dropped)
h = 300/10,000 = 3/100 = 0.03 ft
The answer is D.
Question: If four coins are tossed, the probability of getting two heads and two tails is ?
A.3/8
B.3/5
C.3/9
D.3/1
Answer: A.3/8
Explanation: Since four coins are tossed, sample space = 24
Getting two heads and two tails can happen in six ways.
n(E) = six ways
p(E) = 6/24 = 3/8
Answer: A
Question: A mathematics teacher tabulated the marks secured by 35 students of 8th class. The average of their marks was 72. If the marks secured by Reema was written as 36 instead of 66 then find the correct average marks up to two decimal places.
A.72.85
B.74.31
C.72.43
D.73.43
Answer: A.72.85
Explanation: Total marks = 35 x 72 =2520
Corrected total marks = 2520 - 36 + 66 =2550
Correct Average = 2550/35 = 72.85
Answer : A
Question: Find the area of a parallelogram with base 24 cm and height 16 cm?
A.287 cm2
B.384 cm2
C.187 cm2
D.167 cm2
Answer: B.384 cm2
Explanation: Area of a parallelogram
= base * height
= 24 * 16
= 384 cm2
Answer: B
Question: The cost of type 1 rice is Rs 15 per Kg and type 2 rice
is Rs 20 per Kg. If both type1 and type 2 are mixed in the
ratio of 2:3,then the price per Kg of the mixed variety
of rice is?
A.15
B.18
C.20
D.25
Answer: B.18
Explanation: Let the price of the mixed variety be Rs x per Kg.
Cost of 1 Kg of type 1 rice Rs 15 Cost of 1 Kg of type 2 rice Rs 20
Mean Price Rs x
20-x x-15
(20-x) /( x-15) = 2/3
=> 60-3x = 2x-30
5x = 90=>x=18.
ANSWER B
Question: The total age of A and B is 12 years more than the total age of B and C.C is how many years younger than A ?
A.12
B.24
C.C is elder than A
D.Data inadequate
Answer: A.12
Explanation: Solution
(A+B)-(B + C)= 12 ⇔ A-C =12. Answer A
Question: If a sample of data has mean of 20 and SD of 3, which of the following values is more than 2.3 SDs from the mean?
A.16
B.13
C.15
D.18
Answer: B.13
Explanation: 2.3 SD's mean is equal to: +/- 2.3*3 = +/- 6.9
ie. 13.1 to 26.9
Answer is: B
Question: To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of bucket is reduced to two-fifth of its present ?
A.52.5
B.62.5
C.72.5
D.82.5
Answer: B.62.5
Explanation: Explanation:
Let the capacity of 1 bucket = x.
Then, capacity of tank = 25x.
New capacity of bucket = 2/5 x.
Required no of buckets = 25x / (2x /5) = 62.5
ANSWER IS B
Question: Can you find the missing number in the sequence below
14 -20 34 -54 ? -144
A.88
B.77
C.66
D.55
Answer: A.88
Explanation: Solution:
88
Explanation:
14 -20 34 -54 ? -144
The number is difference between right number and left number.
i.e
example
14-(-20) = 34
-20-(34) = -54
34-(-54) = 88 answer
-54-(88) = -143
Answer A
Question: A man can row downstream at 18 kmph and upstream at 8 kmph. Find the speed of the man in still water and the speed of stream respectively?
A.3
B.5
C.6
D.4
Answer: B.5
Explanation: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.
Given x + y = 18 --- (1)
and x - y = 8 --- (2)
From (1) & (2) 2x = 26 => x = 13, y = 5. Answer: B
Question: In filling a fish tank with water that is 50 m * 10 m * 1 m the volumes of water filled will be?
A.500 cu.m
B.5000 cu.m
C.50000 cu.m
D.3000 cu.m
Answer: A.500 cu.m
Explanation: 50 * 10 * 1 = 500
ANSWER:A
Question: If a1 = 1 and an+1= 2an + 5, n = 1, 2 .. , then a10 is equal to ?
A.a. 6*2^9 -5
B.b. 5*2^99+6
C.c. 6*2^99+5
D.d. 6*2^99-5
Answer: A.a. 6*2^9 -5
Explanation: Here is solution:
an+1=2an+5............(1)
lets ADD 5 to both sides....
so (an+1) + 5= 2 (an+5)....................taking 2 as common factor
now a1=1. so for n=1, an+5=6.......
putting n=1. we get both sides as,
a2 + 5= 2 * 6 ..............as ( an+5=6 .......(for n=1)..)
a2= 2 *6 - 5
a2= 2 * 2 *3 - 5
a2= 2^2 *3 - 5................. so with same progression
a10= 2^10 * 3 - 5
a10=2* 2^9 * 3 - 5
a10= 6 * 2^9 - 5
A
Question: if v is a positive integer greater than 8, which of the following must be divisible by 4?
A. v(v-1)(v+2)(v+3)
B. v(v-1)(v+3)(v+4)
C. v(v-3)(v+2)(v+4)
D. v(v-3)(v+2)(v+3)
Answer: D. v(v-3)(v+2)(v+3)
Explanation: D.
For any integer v, D is the only answer choice which will always be divisible by 4.
A product of 4 consecutive integers will always be divisible by 4. Since, none of the answer choices are a product of 4 consecutive integers, we have to ensure at least one of the integers is always a multiple of 4. The best way to do that is to ensure the answer choice isv* [(v-1)OR(v+3)] * [(v-2)OR(v+2)] * [(v-3)OR(v+1)]. (ANSWER D)
Question: If a bank account has $1000 with an interest rate of 5% compounded annually, how much money will the account have after 10 years?
A.1629
B.1723
C.1834
D.1912
Answer: A.1629
Explanation: 1000*1.05^10=1000*1.629=1629
The answer is A.
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 16 cm
A.304 cm2
B.179 cm2
C.285 cm2
D.167 cm2
Answer: A.304 cm2
Explanation: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (20 + 18) * (16)
= 304 cm2
Answer: A
Question: A man engaged a servant on the condition that he would pay him Rs.800 and a uniform after one year service. He served only for 9 months and received uniform and Rs.400, find the price of the uniform?
A.s.800
B.s.85
C.s.90
D.s.100
Answer: A.s.800
Explanation: 9/12 = 3/4 * 800 = 600
400
-------------
200
1/4 -------- 200
1 --------- ? => Rs.800
ANSWER:A
Question: Two identical cubes if one of them is painted pink on its 4 sides and blue on the remaining two side then how many faces painted pink to other cube so that probability of getting the same color is 1/3 when we roll both the cubes.
A.3
B.0
C.8
D.7
Answer: B.0
Explanation: Explanation:
First cube has got 4 pink sides and 2 black sides.
Let the other cube got x sides pink and (6 - x) sides black.
Now when we roll both the dice, we can either pink on both cubes or black on both cubes.
Probability = 46×x6+26×6−x6=1346×x6+26×6−x6=13
=4x+12−2x36=13=4x+12−2x36=13
⇒x=0⇒x=0
So second cube should not have any pink faces at all.
Answer:B
Question: The ratio of two cow A,B milk is 5:3.3kg milk of cow A get distributed and 1kg milk of cow B get distributed.now,8kg milk of cow B left.Now what is the ratio of cow A and B left milk?
A.3:2
B.4:3
C.5:4
D.6:5
Answer: A.3:2
Explanation: left milk of cow B=3x-1=8,3x=9,x=3.
left milk of cow A=15-3=12
12/8=3:2.
answer A
Question: The number which exceeds 16% of it by 105 is :
A.125
B.52
C.58
D.60
Answer: A.125
Explanation: Solution
Solution
Let the number be x.
x-16% of x =105
x-16/100x =105
x-4/25x=105
21/25x=105
x=(105x25/21)=125 Answer A
Question: A student divided a number by 2/3 when he required to multiply by 3/2. Calculate the percentage of error in his result.
A.0
B.16
C.18
D.1
Answer: A.0
Explanation: suppose the no is 100
first condition if it mistakenly divided the no by 2/3 ==>100/(2/3)==>150
second condition the no should multiply by 3/2 ==> 100*3/2 ==> 150
hence output should be 150 and mistakenly the output is 150
so pecentage error is zero
ANSWER:A
Question: A popular website requires users to create a password consisting of the digits {1,2,3,4,5,6}. If no digit may be repeated and each password must be at least 5 digits long, how many passwords are possible?
A.5! + 6!
B.2 x 6!
C.5! x 6!
D.11!
Answer: B.2 x 6!
Explanation: If we choose the 6 different digits then they can be arranged in 6! ways.
The number of possible 5-digit passwords is 6*5*4*3*2 = 6!
The total number of passwords is 6! + 6! = 2*6!
The answer is B.
Question: The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
A.9
B.10
C.11
D.12
Answer: A.9
Explanation: Explanation:
3x + 5x + 7x = 45
x =3
3x = 9
A)
Question: Joe drives 240 miles at 60 miles per hour, and then he drives the next 120 miles at 40 miles per hour. What is his average speed for the entire trip in miles per hour?
A.42
B.51
C.50
D.54
Answer: B.51
Explanation: t1= 240/60=4 hours
t2=120/40=3 hours
T=t1+t2=7 hours
Avg speed = Total Distance/T
= 360/7 = 51mph=B
Question: Each week, Harry is paid x dollars per hour for the first 30 hours and 2x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?
A.35
B.36
C.37
D.38
Answer: B.36
Explanation: James worked for 41 hours hence he earned 40*x+1*2x=42x dollars;
We know that Harry also earned the same 42x dollars, out of which he earned 30x dollars for thefirst 30 hoursplus 12x additional dollars. Since for each additional hour he gets 2x dollars then he worked for 12x/2x=6 additional hours, so Harry worked for total of 30+6=36 hours.
Answer: B.
Question: A certain sum of money doubles itself in 10 years in how much many years will it trible itself at the same rate?
A.20
B.88
C.77
D.66
Answer: A.20
Explanation: 100 ---- 100 --- 10
100 --- 10
--------------------
300 ---- 20 years
Answer: A
Question: How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5 % per annum of simple interest ?
A.3.5 years
B.4 years
C.4.5 years
D.5 years
Answer: B.4 years
Explanation: Solution
Time = (100x81/450x45)years = 4 years.
Answer B
Question: Three partners A,B and C shared the profit in a software business in the ratio 5:7:8. They had partnered for 14 months, 8 months and 7 months respectively. Find the ratio of their investments?
A.19:49:64
B.20:49:64
C.20:49:65
D.20:50:64
Answer: B.20:49:64
Explanation: Explanation:
Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively
Then, 14x : 8y : 7z = 5 : 7 : 8
Now, 14x/8x = 5/7
=> y = (49/20)x
14x/7z = 5/8
=> z = (16/5)x
=>x:y:z = x:(49/20)x:(16/5)x
= 20:49:64
Option B
Question: A basketball team scored x points per game in its first n games of the season, and in all the following games it scored an average (arithmetic mean) of y points per game. What was the average number of points per game in its first n + 2 games?
A.x + 3y/(n + 3)
B.x + y/(n + 3)
C.(x + 3y)/(n + 3)
D.(nx + 3y)/(n + 2)
Answer: D.(nx + 3y)/(n + 2)
Explanation: Total points in first n games = nx
Total marks in next 3 games is 3y
So, Average marks in n + 2 games = (nx+3y)/(n+2)
Hence, correct answer will be (D)