RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 50, how many horses are there ?
A.10
B.12
C.14
D.16
Answer: A.10
Explanation: legs 10*4 = 40
now half on their horses so remaining on the walk so 5 men
5 men has 10 legs
so, 10+ 40 = 50 legs walking
ANSWER:A
Question: There are 44 students in a hostel, due to the administration, 15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ?
A.Rs. 612
B.Rs. 611
C.Rs. 610
D.Rs. 616
Answer: D.Rs. 616
Explanation: Let the average expenditure per head be Rs. p
Now, the expenditure of the mess for old students is Rs. 44p
After joining of 15 more students, the average expenditure per head is decreased by Rs. 3 => p-3
Here, given the expenditure of the mess for (44+15 = 59) students is increased by Rs. 33
Therefore, 59(p-3) = 44p + 33
59p - 177 = 44p + 33
15p = 210
=> p = 14
Thus, the expenditure of the mess for old students is Rs. 44p = 44 x 14 = Rs. 616.
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.1.30 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
A.399
B.272
C.865.8
D.277
Answer: C.865.8
Explanation: Answer: Option C
Explanation:
a2 = 3136 => a = 56
56 * 4 * 3 = 672 â€“ 6 = 666 * 1.3 = 865.8 Answer: C
Question: A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
A.250
B.276
C.280
D.285
Answer: D.285
Explanation: Explanation:
Since the month begins with a Sunday, to there will be five Sundays in the month.
Required average = (510 × 5 + 240 × 25/30)
= 8550/30
= 285
Answer: D
Question: A group of 6 children and 10 adults are going to the zoo. Child tickets cost $10, and adult tickets cost $16. How much will the zoo tickets cost in all?
A.$220
B.$340
C.$150
D.$100
Answer: A.$220
Explanation: Step 1: Find the cost of the children's tickets.
6 × $10 = $60
Step 2: Find the cost of the adults' tickets.
10 × $16 = $160
Step 3: Find the total cost.
$60 + $160 = $220
The zoo tickets will cost $220.
Answer is A.
Question: what is a percent of b divided by b percent of a?
A.100
B.10
C.1
D.a
Answer: C.1
Explanation: a percent of b=>ab/100
b percent of a=>ba/100
a percent of b divided by b percent of a=>(ab/100)/(ba/100)
=>1
ANSWER:C
Question: If 1/a^2 + a^2 represents the diameter of circle O and 1/a + 2a = 3, which of the following best approximates the circumference of circle O?
A.28
B.22
C.20
D.16
Answer: D.16
Explanation: Given that (1/a)+a =3
Square both sides of the equation:
We get,
[(1/a)^2 + a^2 + 2*(1/a)*a] = 9
=> (1/a)^2 + a^2 + 2 = 9
=> (1/a)^2 + a^2 = 7 ----------------- (1)
Diameter D = (1/a)^2 + a^2
= 7 (From (1))
So Radius = D/2 = 7/2
Circumference = 2*Pi*r
= 2*(22/7)*(7/2)
=16
So the answer should be D.
Question: The contents of a certain box consist of 48 apples and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be apples?
A.90
B.72
C.82
D.54
Answer: C.82
Explanation: apple = (apple + kiwi + x)*0.3
48 = (30 + 48 + x)*0.3
x = 82
Answer: C
Question: 3 letters have to be put into their 3 respective envelopes. If the letters are inserted randomly into the envelopes, what is the probability that all the letters go into their respective envelopes?
A.1/30
B.1/6
C.1/120
D.1/240
Answer: B.1/6
Explanation: A-B-C-D-E (envelopes)
a-b-c-d-e (letters)
3 letters (a, b, c, d, and e) can be assigned to 3 envelopes (arranged) in 3! ways, out of which only one will be correct, thus the probability is 1/3! = 1/6.
Answer: B.
Question: A number is said to be prime saturated if the product of all the different positive prime factors of a is less than the square root of a. What is the greatest two digit prime saturated integer ?
A.99
B.98
C.97
D.96
Answer: D.96
Explanation: Clearly D A number is said to be prime saturated if the product of all the different positive prime factors of a is less than the square root of a.
96 has more number of smaller prime factor thats the clue !!=D
Question: Two trains of equal are running on parallel lines in the same direction at 44 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
A.40 m
B.72 m
C.80 m
D.82 m
Answer: A.40 m
Explanation: Let the length of each train be x m.
Then, distance covered = 2x m.
Relative speed = 44 - 36 = 8 km/hr.
= 8 * 5/18 = 20/9 m/sec.
2x/36 = 20/9 => x = 40.
ANSWER:A
Question: If two sides of a triangle are 5 and 12, respectively, which of the following could NOT be the area of this triangle?
A.1
B.6
C.38
D.29
Answer: C.38
Explanation: For this question it would be helpful to know the largest area that this triangle could be, given the two sides of 5 and 12.
We know that the area of a triangle will be maximized when two sides are perpendicular to each other (consult Bunuel's drawing above). Thus we have a max area being equal to one half the base times the height, either (.5)12 * 5 -or- (.5)5 * 12 will result in a maximum area of 30 for the triangle; therefore, the triangle could never have an area of 38.
C
Question: You and your friend spent a total of $11 for lunch. Your friend spent $3 more than you. How much did your friend spend on their lunch?
A.$9
B.$3
C.$7
D.$6
Answer: C.$7
Explanation: My lunch = l, my friends lunch = l+1
(l)+(l+3)=11
l+l+3-3=11-3
2l=8
l=4
My friends lunch l+3 = 4+3=$7, the answer is C
Question: The ratio between the sale price and the cost price of an article is 9:7. What is the ratio between the profit and the cost price of that article?
A.2:9
B.2:7
C.3:6
D.2:0
Answer: B.2:7
Explanation: Let C.P. = Rs. 7x and S.P. = Rs. 9x.
Then, Gain = Rs. 2x
Required ratio = 2x : 7x = 2:7
Answer:B
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
A.2.5 sec
B.2.8 sec
C.8.5 sec
D.2.2 sec
Answer: A.2.5 sec
Explanation: Speed = 144 * 5/18
= 40 m/sec
Time taken = 100/40
= 2.5 sec.
Answer:A
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
A.157.78
B.157.98
C.157.5
D.157.19
Answer: C.157.5
Explanation: (3500*1.5*3)/100
=> 157.50
Answer: C
Question: In how many different number of ways 3 boys and 1 girls can sit on a bench?
A.24
B.40
C.60
D.78
Answer: A.24
Explanation: npn = n!
4p4= 4 × 3 × 2 × 1 = 24
A)
Question: On my sister’s 15th birthday, she was 159 cm in height, having grown 6% since the year before. How tall was she the previous year?
A.150 cm
B.140 cm
C.142 cm
D.154 cm
Answer: A.150 cm
Explanation: Explanation :
Given that height on 15th birthday = 159 cm and growth = 6%
Let the previous year height = x
Then height on 15th birthday = x ×100+6100=x×106100
⇒159 = x × (106/100)
⇒x=159×100106=1.5×100=150;cm
ANSWER IS A
Question: Average of all prime numbers between 25 to 50
A.37
B.38
C.39
D.39.8
Answer: B.38
Explanation: Explanation:
Prime numbers between 25 and 50 are:
29, 31, 37, 41, 43, 47
Average of prime numbers between 25 to 50 will be
(29+31+37+41+43+47 / 6)=228 / 6=38
Option B
Question: Weights of two friends Ram and Shyam are in the ratio 6:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?
A.19%
B.10%
C.21%
D.16%
Answer: C.21%
Explanation: Solution:
given ratio of Ram and Shayam's weight = 6:5
Hence, (x-15)/(15-10) = 6/5
Or, x = 21%.
Answer: Option C
Question: The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 324 different signs. If the company used 322 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 324 signs?
A.246
B.248
C.1292
D.15,128
Answer: C.1292
Explanation: # of 2-letter codes possible from 324 different signs = 324*324.
# of 2-letter codes possible from 322 different signs = 322*322.
The difference = 324^2 - 322^2 = (324 - 322)(324 + 322) = 1292.
Answer: C.
Question: Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
A.Rs.225
B.Rs.288
C.Rs.485
D.Rs.285
Answer: D.Rs.285
Explanation: Total CP per shirt = 225 + 1400/160 + 1.75 + 320/160 = Rs. 237.5
SP = CP[(100 + profit%)/100]
= 237.5 * [(100 + 20)/100] = Rs.285.
Answer:D
Question: If 6x^2 + x - 12 = (qx + b)(cx + d), then |q| + |b| + |c| + |d| =
For a complete solution and more practice problems, see this blog:
http://magoosh.com/gmat/2012/algebra-on ... to-factor/
A. 10
B. 12
C. 15
D. 18
Answer: B. 12
Explanation: 6x^2+x-12 = 6x^2 + 9x -8x -12
=> 3x(2x+3) -4(2x+3)
=> (2x+3)(3x-4) = (qx+b)(cx+d)
Hence q=2, b=c=3, d=-4
So, 2+3+3+ |-4| = 2+3+3+4 = 12
Answer B.
Question: A person travels 12 km in the southward direction and then travels 5km to the right and then travels 15 km toward the right and finally travels 5km towards the east, how far is he from his starting place?
A.2
B.3
C.4
D.6
Answer: B.3
Explanation: To solve these type of questions, first draw the direction diagram and assume the person is at the intersection point.
From the diagram it is clear that he is 3 km from where he started.
Answer:B
Question: If n = 20! + 15, then n is divisible by which of the following?
I. 15
II. 17
III. 19
A.I only
B.II only
C.III only
D.I and II
Answer: A.I only
Explanation: 15 divides 20! so 15 also divides 20! + 15.
17 and 19 divide 20! so they do not divide 20! + 15.
The answer is A.
Question: Jack has three more cards than Bill. Together they have 47 cards. If x represents the number of cards Bill has, then an equation that can be used to determine the number of cards each one has is
A.x + 3 = 47
B.2x + 3 = 47
C.x - 3 = 47
D.2x - 3 = 47
Answer: B.2x + 3 = 47
Explanation: Explanatory Answer
Bill has x cards.
Jack has 3 more cards than Bill. So, Jack has x + 3 cards.
So, together Bill and Jack have x + x + 3 = 2x + 3 cards.
The question states that they have 47 cards between them.
So, 2x + 3 = 47.
Answer B
Question: A key ring has 7 keys. How many different ways can they be arranged?
A.6
B.7
C.5!
D.6!
Answer: A.6
Explanation: I would like to argue against OA. 7 => 6! circular permutations. Therefore, for a keyring - arrangements = 6!/2
ANS:A
Question: If a class of 10 students has three men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other?
A.3!2!
B.5!5!
C.4!4!
D.10!
Answer: A.3!2!
Explanation: for no two men to sit together, either all are in even or odd position
fix one at any one position then rest four can be fixed in 2! ways...
also rest five position of women can be fixed in 3!..
total ways 3!2!
A
Question: A trader bought a car at 20% discount on its original price. He sold it at a 50% increase on the price he bought it. What percent of profit did he make on the original price?
A.17%
B.72%
C.20%
D.82%
Answer: C.20%
Explanation: Original price = 100
CP = 80
S = 80*(150/100) = 120
100 - 120 = 20%
Answer:C
Question: The number of positive integer solutions for the equation x +y +z + t = 15 is
A.654
B.584
C.384
D.364
Answer: D.364
Explanation: The number of positive integer solutions for the equatio fx1+x2+⋯+xn=k
(k-1)C(n-1)- where k is the number and n is number of variable in the equation.
15-1 C 4-1 = 14C3 = 364
Answer : D
Question: A watch passes through three hands and each gains 25%. If the 3rd sells it for Rs250, what did the 1st pay for it?
A.112
B.116
C.128
D.175
Answer: C.128
Explanation: First Purchased = 250 Wes= 128
C
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 40 years now, the son's age 10 years back was?
A.12yr
B.15yr
C.14yr
D.10yr
Answer: D.10yr
Explanation: Let the son's present age be x years
Then, 40-x = x
x = 20
Son's age 10 years back = 20-10 = 10years
Answer is D
Question: John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 5 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
A. 4y
B. 5y
C. 3y
D. 8y
Answer: C. 3y
Explanation: Let $x be the advance that both receive = 5x
Amount earned per hour by John and Mary = x/10 and x/5
Mary gives $y to John to make the wages earned equal
Hence John wage per hr = (x+y)10 which is now equal to Mary's wage (x-y)/5
Solve (x+y)10 = (x-y)/5
5x + 5y = 10x -10y
5x = 15y
x = 3y
Ans. C
Question: From a pack of 52 cards, one card is drawn. What is the probability that the card drawn is a queen of club or a king of heart?
A.1/26
B.25/26
C.3/26
D.1/52
Answer: A.1/26
Explanation: Solution
Let S be the sample space. Then,
n(S) = 52C1	= 52.
Let E = event of getting a queen of club or a king of heart.
n(E) = 2C1	= 2.
P(E) = n(E) / n(S)	= 2 / 52
= 1/26.
Answer A
Question: Divide $100 among W,X in the ratio 3:7. How many $ that X get?
A.$40
B.$50
C.$60
D.$70
Answer: D.$70
Explanation: Sum of ratio terms = 3+7 = 10
X = 100*7/10 = $70
Answer is D
Question: 3, 12, 7, 26, 15, ?
A.34
B.44
C.54
D.64
Answer: C.54
Explanation: 3, ,7, ,15
(3*2)+1=7
(7*2)+1=15
12, ,26, ,?
(12*2)+2=26
(26*2)+2=54
ANSWER:C
Question: A box contains 12 marbles of three different colours green, yellow and blue---4 each.
If you were to close your eyes and pick them at random, how many marbles must you take out to be sure that there are at least two of one colour among the marbles picked out?
A.1
B.4
C.6
D.3
Answer: B.4
Explanation: B
4
In the first three pickings you may get 1 of each colour, on the 4th pick there will be at least two of one colour.
Therefore, the answer is 4.
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
A.6
B.8
C.1
D.9
Answer: D.9
Explanation: 1/10 + 1/15 - 1/x = 1/18
x = 9
Answer:D
Question: Jim drove 642 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
A.113 miles
B.432 miles
C.558miles
D.887 miles
Answer: C.558miles
Explanation: The number of miles to drive to finish his journey is given by
1200 - 642 = 558 miles
correct answer C
Question: A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?
A.287
B.699
C.250
D.168
Answer: C.250
Explanation: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12 = 250 m
Answer: C
Question: Barbara, Becky and Beth dressed up as princesses for Halloween. One was Snow White. One was Sleeping Beauty. One was Cinderella. Becky is not Sleeping Beauty and she went trick-or-treating with Snow White. Beth and Sleeping Beauty are sisters. Who is Snow White?
A.Becky
B.Beth
C.Barbara
D.none
Answer: B.Beth
Explanation: Becky is neither Sleeping Beauty nor Snow White (since Becky went trick-or-treating with Snow White). Therefore, Becky has to be Cinderella.
Beth is neither Sleeping Beauty nor Cinderella (since Becky is Cinderella). Therefore, Beth has to be Snow White.
correct answer B
Question: If y is an integer, then the least possible value of |32 - 7y| is
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: We know that 5y is a multiple of 7, so let’s first look at the multiples of 7 closest to 32. We have “28” and “35”. Let’s subtract both of these from 32 and see which one produces the smallest result. When 7y = 28, y is 4 and when 7y = 35, y is 5. Let’s start with letting y = 4.
|32-7(4)|
|32-28|
|4| = 4
Next, let’s let y equal 5.
|32-7(5)|
|32-35|
|-3| = 3
We see that the smallest possible value of |32-7y| is 3.
Answer C.
Question: A can do a piece of work in 4hours. B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
A.8 hours
B.10 hours
C.12 hours
D.24 hours
Answer: C.12 hours
Explanation: A's 1 hour work= 1/4
(B+C)'s 1 hour work= 1/3
(A+C)'s 1 hour work= 1/2
(A+B+C)'s 1 hour work= (1/4+1/3)=7/12
B's 1hour's work= (7/12-1/2)= 1/12
B alone will take 12 hours to do the work.
correct option is C
Question: On dividing 17698 by a certain number, we get 89 as quotient and 14 as remainder. What is the divisor?
A.199
B.154
C.852
D.741
Answer: A.199
Explanation: Divisor *quotient+remainder=dividend
divisor=(dividend)-(remainder)/quotient
(17698-14)/89=199
Answer(A)
Question: A lends Rs. 2500 to B and a certain to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is?
A.3377
B.1500
C.2887
D.1778
Answer: B.1500
Explanation: Let the sum lent to C be Rs. x. Then,
(2500 * 7 * 4) / 100 + (x * 7 * 4) / 100 = 1120
7/25 x = (1120 - 700) => x = 1500
Answer: B
Question: At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 22 years. What is the age of Deepak at present?
A.12 years
B.15 years
C.66 years
D.88 years
Answer: A.12 years
Explanation: Let the present ages of Arun and Deepak be 4x and 3x years respectively.
Then, 4x + 6 = 22 => x = 4
Deepak's age = 3x = 12 years.
Answer: A
Question: How many numbers from 29 to 79 are exactly divisible by 11?
A.5
B.7
C.9
D.11
Answer: A.5
Explanation: Option 'A'
29/11 = 2 and 79/11 = 7 ==> 7 - 2 = 5 Numbers
Question: In the equation 2x â€“ cy = 18, c is a constant. If the value of y is 2 when x is 6, what is the value of x when y is 5 ?
A.âˆ’9/2
B.-1
C.-3
D.4
Answer: B.-1
Explanation: 2x - cy = 18
x=6, y=2;
12-2c=18
c=-3
2x-cy=18
when y=5, c=-3, x=
x=9/2
ANSWER:B
Question: the age of a and b are in the ratio 4:5 and of b and c in the ratio 3:2.the youngedt of three is
A.a
B.b
C.c
D.can't say
Answer: C.c
Explanation: a:b => 4:5 3*(a:b)=> 12:15
b:c=>3:2 5*(b:c)=> 15:10
a:b:c =>12:15:10
Therefore youngest is c.
ANSWER:C
Question: Average of first five multiples of 5 is
A.9
B.11
C.13
D.15
Answer: D.15
Explanation: Explanation:
Average=5(1+2+3+4+5) / 5=75 / 5=15
Option D
Question: Number of prime numbers between 15 and 45 is
A.4
B.8
C.6
D.7
Answer: B.8
Explanation: total 8=17, 19, 23, 29, 31, 37, 41, 43
ANSWER:B
Question: A, B, C together started a business. A invested Rs.2000 for 5 months B invested Rs.2500 for 6 months and C Rs.3000 for 3 months. If they get a total profit of Rs.3400. Find the share of A?
A.2999
B.3000
C.1000
D.2999
Answer: C.1000
Explanation: 4*5:5*6:6*3
20 : 30 : 18
20/68 * 3400 = 1000
Answer:C
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 30 sec. What is the length of the goods train?
A.299
B.277
C.350
D.270
Answer: C.350
Explanation: Speed = 72 * 5/18 = 20 m/sec.
Time = 30 sec.
Let the length of the train be x meters.
Then, (x + 250)/30 = 20
x = 350m.
Answer: C
Question: The seating chart of an airplane shows 30 rows of seats. Each row has 3 seats on each side of the center aisle, and one of the seats on each side is a window saet. The view from the window seats in 15 of the rows is obscured by the wings of the airplane. If the first person to be assigned a seat is assigned a window seat and thw window seat is assigned randomly, what is the probability that the person will get a seat with an unobscured view?
A.1/6
B.1/2
C.2/3
D.5/6
Answer: B.1/2
Explanation: priyalr
6 seats per row, think of a boeing 737. We have 30 rows, therefore window 30 seats one one side and 30 window seats on the other, totaling 60 window seats on the whole plane.
the view of the window of 15 rows is blocked. two wings, therefore 30 window seats are blocked.
Total window seats = 60
Total blocked window seats = 30
Total unblocked seats = 30
We know that a window seat was given, therefore probability for not window seat is 30/60 =1/2
ANS B
Question: A and B can do a piece of work in 10 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
A.33
B.878
C.30
D.10
Answer: D.10
Explanation: C = 1/5 â€“ 1/10 = 1/10 => 10 days
Answer: D
Question: What is the square root of 16?
A.8
B.4
C.35
D.42
Answer: B.4
Explanation: 4X4= 16
ANSWER B
Question: Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?
A.11
B.17
C.16
D.32
Answer: D.32
Explanation: We know that, the number of straight lines that can be formed by the 11 points in which 6 points are collinear and no other set of three points, except those that can be selected out of these 6 points are collinear.
Hence, the required number of straight lines
= 11C2 - 6C2 - 5C2 + 1 + 1
= 55 - 15 - 10 + 2 = 32
Answer: D
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 240 m long?
A.40 sec
B.42 sec
C.45 sec
D.48 sec
Answer: D.48 sec
Explanation: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 240 = 600 m
Required time = 600 * 2/25 = 48 sec
ANSWER:D
Question: By selling 110 mangoes, a fruit-seller gains the selling price of 20 mangoes. Find the gain percent?
A.28.28%
B.32.32%
C.17.71%
D.22.22%
Answer: D.22.22%
Explanation: SP = CP + g
110 SP = 110 CP + 20 SP
90 SP = 110 CP
90 --- 20 CP
100 --- ? => 22.22%
Answer: D
Question: On three consecutive flips of a coin, what is the probability that all three produce the same result?
A.1/16
B.1/8
C.1/4
D.3/8
Answer: C.1/4
Explanation: TTT case --> P = (1/2)^3 = 1/8.
HHH case --> P = (1/2)^3 = 1/8.
P(TTT or HHH) = 1/8 + 1/8 = 1/4.
Answer: C.
Question: Alex takes a loan of $4,000 to buy a used truck at the rate of 6 % simple Interest.Calculate the annual interest to be paid for the loan amount.
A.680
B.700
C.240
D.620
Answer: C.240
Explanation: From the details given in the problem Principle = P = $4,000 and R = 6% or 0.06 expressed as a decimal.
As the annual Interest is to be calculated, the time period T =1.
Plugging these values in the simple Interest formula,
I = P x T x R
= 4,000 x 1 x 0.06
= 240.00
Annual Interest to be paid = $240
answer :C
Question: The area of a square is subtracted from one of its sides, and the perimeter is then added to this total, the result is 4. What is the length of one side?
A.1
B.2
C.3
D.4
Answer: A.1
Explanation: The equation is; side - Area + Perimeter = s - A + P = s - s^2 + 4s = s(1 - s + 4).
By plugging in the answers we can test the answers quickly; then, 4 is the only possible answer.
Answer: A
Question: Lena’s grade was in the 80th percentile out of 120 grades in her class. In another class of 200 students there were 24 grades higher than Lena’s. If nobody had Lena’s grade, then Lena was what percentile of the two classes combined?
A.85
B.90
C.95
D.100
Answer: A.85
Explanation: There were two tests. What is important is how many outscored her on both tests:
on the first test - 0.2*120 = 24
on the second test - 24
In total, 24 + 24 = 48 out of 120 + 200 = 320 outscored Lena, and they represent 48/320 = 15%. Therefore, Lena's score is in the 100 - 15 = 85th percentile.
ANSWER:A
Question: (1^2 + 2^2 + 3^2 + ... + 10^2) = ?
A.385
B.395
C.375
D.55
Answer: A.385
Explanation: Explanation :
1^2+2^2+3^2+⋯+n^2=∑n^2=n(n+1)(2n+1)/6
1^2+2^2+3^2+⋯+10^2=n(n+1)(2n+1)/6=(10(10+1)[(2×10)+1])/6=(10×11×21)/6=(10×11×7)/2=385
Answer is A
Question: A city of 4000 has the rate of 25.4 per 2000 people moving into the town while 10.5 per 1000 move out. How long will take for the population to double.
A.10.5
B.30
C.133.3
D.100
Answer: C.133.3
Explanation: Annual increase is (2000 + 25.4 - 10.4)*2=4030
Hence every year there is an increase of 30
for the population to double we needs additional 4000
therefore 4000/30=133.3
correct option is C)
Question: 0.0008154/0.00205x16.5=?
A.8.5
B.6.6
C.7.6
D.6.4
Answer: B.6.6
Explanation: Explanation :
? = 0.0008154/0.00205 x 16.5 = 6.6
Answer : Option B