RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: ‘Exactly n of the statements on this sheet are false.’ Which statements are true and which are false?
A.The even numbered statements are true and the odd numbered statements are false.
B.The odd numbered statements are true and the even numbered statements are false.
C.All the statements are false.
D.The 39th statement is true and the rest are false
Answer: B.The odd numbered statements are true and the even numbered statements are false.
Explanation: Assume there is only one statement is there. The statement should read "Exactly 1 statement on this sheet is false" . If the truth value of the statement is true, then given statement should be false. This is contradiction. If the statement is false, Then the given statement is true. but there is not other true statement.
Assume there are two statements. By the above logic, 2nd statement should not be true. But 1st statement is true as it truthfully says the truthfulness. By this logic we know that If there are "n" statements, (n-1)th statement is the only true statement And all other are false
Answer:B
Question: A train covers a certain distance at a speed of 200kmph in 4 hours. To cover the same distance in 2 hours, it must travel at a speed of
A.400 km/hr
B.420 km/hr
C.450 km/hr
D.470 km/hr
Answer: A.400 km/hr
Explanation: Explanation:
Distance = 200×4 = 800km
Required speed = (800/2) = 400km/hr
Answer: Option A
Question: There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.
A.99
B.277
C.12
D.989
Answer: C.12
Explanation: Let the radii of the larger and the smaller circles be l cm and s cm respectively. Let the side of the square be a cm.
a2 = 784 = (4)(196) = (22).(142)
a = (2)(14) = 28
a = 2l, l = a/2 = 14
l = (7/3)s
Therefore s = (3/7)(l) = 6 Circumference of the smaller circle = 2∏s = 12∏ cm.
Answer: C
Question: There are 13 which, 15 black, 16 red hats on a table. In one step, you may chose two hats of different colors and replace each one by a hat of the third color. After how many steps this can be reached?
A.2
B.7
C.3
D.9
Answer: C.3
Explanation: Let the initial number of hats are (a, b, c). In one step the hats color may change into one of the following (a+2, b-1, c-1), (a-1, b+2, c-1), (a-1, b-1, c+2). In each of these cases, difference between any two colored hats should be divisible by 3 to reach mono chromatic stage. ie., a + b + c should also be divisible by 3.
In this case sum is not divisible by 3 so the final stage cannot be reached.
Answer:C
Question: A row of ants comprised of 102 ants. A man walked upon it and all except 42 were crushed beneath his foot.
How many ants are left alive?
A.41
B.42
C.43
D.44
Answer: B.42
Explanation: Solution:
All except 42 were crushed means that all the ants except 42 were crushed beneath the man's foot. Hence, 42 ants are alive now
Answer B
Question: John purchased a grinder and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the grinder at a loss of 4% and the mobile phone at a profit of 10%. Overall how much he make aprofit.
A.Rs. 90
B.Rs. 120
C.Rs. 200
D.Rs. 250
Answer: C.Rs. 200
Explanation: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.
r = 15000(1 - 4/100) = 15000 - 600
m = 8000(1 + 10/100) = 8000 + 800
Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800 = Rs. 200
As this is positive, an overall profit of Rs. 200 was made.
C
Question: If x > 2000, then the value of (x)/(2x+1) is closest to?
A.1/6
B.1/3
C.10/21
D.1/2
Answer: D.1/2
Explanation: assume x = 1999
(x)/(2x+1) = 1999 / (1999*2+1)
=1999 / 3999
= = 1/2
Ans - D
Question: If the cost price is 91% of sp then what is the profit %
A.9.89%
B.8.90%
C.9.00%
D.8.00%
Answer: A.9.89%
Explanation: Sol. sp=Rs100 : then cp=Rs 91:profit =Rs 9.
Profit={(9/91)*100}%=9.89%
Answer is A.
Question: In a race of 2.4 Kms. A beats B by 400 m or 20 sec. What is A’s time over the course?
A.1 min 30 sec
B.1 min
C.1 min 10 sec
D.1min 40 sec
Answer: D.1min 40 sec
Explanation: 2400*20/400=120
120-20=100sec=1 min 40 sec.
ANSWER:D
Question: Tanks C and B are each in the shape of a right circular cylinder. The interior of tank C has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank C is what percent of the capacity of tank B?
A.75%
B.80%
C.100%
D.120%
Answer: B.80%
Explanation: B.
For C, r=8/2pi. Its capacity = (4pi)^2 * 10= 160pi
For B, r=10/pi. Its capacity = (5pi)^2 *8 = 200pi
C/B = 160pi/200pi = 0.8
Question: A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people, the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people be solicited?
A.300
B.250
C.400
D.500
Answer: A.300
Explanation: Solution: Let the number of people be x who has been asked for the donations.
People already solicited = 60% of x = 0.6x
Remaining people = 40% of x = 0.4x
Amount collected from the people solicited,
= 600 *0.6x = 360x
360x = 75% of the amount collected.
Remaining amount = 25% = 120x
Thus,
Average donations from remaining people,
= 120x /0.4x = 300.
Answer: Option A
Question: Train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m. Train B left Dale City Station, heading toward Centerville Station, at 3: 20 p.m. on the same day. The trains rode on straight tracks that were parallel to each other. If Train A traveled at a constant speed of 30 miles per hour and Train B traveled at a constant speed of 10 miles per hour, and the distance between the Centerville Station and Dale City Station is 90 miles, when did the trains pass each other?
A.4: 45 p.m.
B.5: 00 p.m.
C.5: 20 p.m.
D.5: 35 p.m
Answer: C.5: 20 p.m.
Explanation: the distance travelled by the train A in first 20 minutes will be 10.
The distance which will be remaining is 80.
Now both trains are running in opposite direction.Their speed will be added so 40.
Time at which they will meet =80/40=2
time of train B will be 3:20 +2=5:20
ANSWER:C
Question: A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?
A.12 cm
B.10 cm
C.83 cm
D.20 cm
Answer: B.10 cm
Explanation: 30 * 20 * x
= (8 * 5.5 * 1.5)/2=10
Answer:B
Question: A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
A.2 hours
B.7 hours
C.8 hours
D.3 hours
Answer: A.2 hours
Explanation: |-----------20--------------------|
50 40
D = 20
RS = 50 – 40 = 10
T = 20/10 = 2 hours
Answer:A
Question: Find the mean proportional of the following pairs of numbers 6 and 24.
A.27
B.28
C.29
D.23
Answer: B.28
Explanation: Required number of trees
= 24/36 * 42
= 28.
Answer:B
Question: A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 12m/h. what is the speedof the person while he was going to his office?
A.8km/h
B.12km/h
C.14km/h
D.16km/h
Answer: A.8km/h
Explanation: u = k , v= 3k
\inline \therefore \frac{2uv}{u+v}\: \: \Rightarrow \frac{2\times k\times 3k}{(k+3k)}=12
\inline \Rightarrow 1.5k = 12
\inline \Rightarrow k=8km/h
A
Question: 5 men and 3 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio
A.1:1
B.1:3
C.2:1
D.2:3
Answer: A.1:1
Explanation: Explanation:
Let 1 man 1 day work = x
1 boy 1 day work = y
then 5x + 3y = 4(x+y)
=> x = y
=> x/y = 1/1
=> x:y = 1:1
Option A
Question: Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 5 inches by 24 inches and Jordan's rectangle is 3 inches long, how wide is Jordan's rectangle, in inches?
A.25
B.43
C.42
D.40
Answer: D.40
Explanation: Area of Carol's rectangle = 24*5 = 120
Let width of Jordan's rectangle= w
Since , the areas are equal
3w = 120
=>w = 40
Answer D
Question: Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
A.99
B.88
C.71
D.18
Answer: D.18
Explanation: 93 + 123 + 153 = a3 => a = 18
Answer: D
Question: If the sum of a number and its square is 210, What is the number?
A.16
B.14
C.25
D.87
Answer: B.14
Explanation: Explanation:
Let the integer be x.
Then, x + x2 = 210
x2 + x - 210 = 0
(x + 15) (x – 14) = 0
x = 14
ANSWER: B
Question: During a clearance sale, a retailer discounted the original price of its TVs by 30% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?
A.40%
B.45%
C.56%
D.60%
Answer: C.56%
Explanation: VERITAS PREPOFFICIAL SOLUTION:
C With percent problems, the key is often to make sure that you take the percent of the correct value. In this case, the initial 30% off means that customers will pay 70% of the original price. Then for the second discount, keep in mind that the discount is taken off of the sale price, not of the original price. So that's 20% off of the 70% that they did pay, which can be made easier by looking at what the customer does pay: 80% of the 70% sale price. Using fractions, that means they pay: 4/5*(0.7) of the original price, which nets to 0.56 of the original price, or 56%.
Question: In how many ways a committee consisting of 3 men and 2 women can be formed from 4 men and 9 women?
A.A)144
B.B)15
C.C)20
D.D)18
Answer: A.A)144
Explanation: Required number of ways = 4C3*9C2 = 4*36 = 144
Answer is A
Question: Average of first five multiples of 10 is
A.9
B.11
C.30
D.15
Answer: C.30
Explanation: Explanation:
Average=10(1+2+3+4+5) / 5=150 / 5=30
Option C
Question: Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 60 percent was planted with grapes and 30 percent of the cleared land was planted with potato. If the remaining 360 acres of cleared land was planted with tomato, how many acres did the farmer own?
A.3250
B.3450
C.4000
D.3750
Answer: C.4000
Explanation: 60% of 90% = 54%, 30% 0f 90% = 27% so the remaining 90-54-27=9%=360 acres or 10% of 90%=9% --> 360/9*100=4000 acres Answer (C)
Question: There are 2 friends Peter and Paul. Peter age is twice as old as Paul when peter was as old as Paul is now. Sum of the present ages of Peter and Paul is 35.What is the present age of Peter?
A.10
B.15
C.20
D.25
Answer: C.20
Explanation: let pauls age be 'a' and peters be 'e'
e+a=35 (given)
e=35-a ------eq1
when peter was as old as paul that is when peter's age was 'a'
pauls age was a-(e-a) =2a-e
now peters age is e=2(2a-e)
e=4a-2e
3e=4a
3(35-a)=4a
105-3a=4a
a=15
hence e=20
ANSWER:C
Question: Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
A.1/7
B.1/8
C.1/9
D.7/8
Answer: A.1/7
Explanation: Original share of 1 person = 1/8
New share of 1 person = 1/7
Increase =(1/7-1/8) = 1/56
Required fraction = (1/56)/(1/8)
= (1/56)*8
= 1/7
ANSWER:A
Question: In a mixture of 60 litres the ratio of milk to water is 5:1. Additional 20 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture.
A.2:3
B.5:3
C.1:4
D.3:2
Answer: B.5:3
Explanation: Given that Milk/Water=5x/x and 5x+x=60 --> x=10.
Thus Milk=5x=50 liters and Water=x=10 liters.
New ratio = 50/(20+10) = 50/30 = 5/3.
Answer is B
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
A.2.9 hrs
B.8.9 hrs
C.2.9 hrs
D.7.2 hrs
Answer: D.7.2 hrs
Explanation: Net part filled in 1 hour = (1/4 - 1/9)
= 5/36
The cistern will be filled in 36/5 hrs i.e., 7.2 hrs.
Answer:D
Question: If (10^67) – 63 is written as a base 10 integer, which of the following options is the sum of the digits in that integer?
A.598
B.495
C.590
D.595
Answer: D.595
Explanation: We know that (10^67) is ending 00, so (10^67) – 63=9....9937
total number of digits in (10^20) – 63 is 67, or 65 digits of 9 and two digits 3 and 7.
answer choice is 65*9+10=595
Answer is D 595
Question: A relay has a series of 5 circuits in a line. The even-numbered circuits are control circuits; the odd are buffer circuits. If both a control circuit and the buffer circuit immediately following it both fail in that order, then the relay fails. The probability of circuit one failing is 1/8; circuit two, 3/8; circuit three, 3/10; circuit four, 3/4; and circuit five, 2/5 .What is the probability that the relay fails?
A.9/80
B.3/10
C.35/80
D.303/800
Answer: D.303/800
Explanation: The first circuit doesn't matter.
Prob(relay fails) = 1 - Prob(relay succeeds)
Prob(2+3 work) = 1 - 9/80 = 71/80
Prob(4+5 work) = 1 - 3/10 = 7/10
Prob(relay fails) = 1 - Prob(2+3 work AND 4+5 work) = 1 - (71/80)(7/10) = 1 - 497/800 = 303/800
D
Question: Effective annual rate of interest corresponding to nominal rate of 6% per annum compounded half yearly will be
A.6.09%
B.6.10%
C.6.12%
D.6.14%
Answer: A.6.09%
Explanation: Explanation:
Let the amount Rs 100 for 1 year when compounded half yearly, n = 2, Rate = 6/2 = 3%
Amount=100(1+3/100)2=106.09
Effective rate = (106.09 - 100)% = 6.09%
Option A
Question: If the average (arithmetic mean) of x + 1, x + 4, and x + 7 is 0, then x =
A.–4
B.–3
C.–2
D.–1
Answer: A.–4
Explanation: (x+1 + x+4 + x+7)/3 = 0
=>3x + 12 = 0
=>x = -4
Answer A
Question: Find the average of first 20 natural numbers.
A.A)11.5
B.B)20.5
C.C)10.5
D.D)15.5
Answer: C.C)10.5
Explanation: Sum of first n natural numbers = n(n+1)/2
sum of first 20 natural numbers = 20*21/2 =210
average = 210/20 = 10.5
Answer is C
Question: Difference between the length and breadth of a rectangle is 23 m. Ifits perimeter is 206 m, then its area is??
A.1220 m^2
B.1520 m^2
C.2520 m^2
D.2600 m^2
Answer: C.2520 m^2
Explanation: We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.
Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) m2 = 2520 m^2
C
Question: A man can row upstream at 12kmph and downstream at 14kmph. Find man's rate in still water ?
A.5km/hr
B.15km/hr
C.13km/hr
D.20km/hr
Answer: C.13km/hr
Explanation: Rate in still water = 1/2 (12+14) = 13km/hr
Answer is C
Question: The forth proportional to 5,10,20 is?
A.20
B.40
C.45
D.80
Answer: B.40
Explanation: Let the fourth proportional to 5,10,20 be x
then 5:10::20:x
5x = 10*20
x = 40
Answer is B
Question: 6 private companies bought a share of 2 million dollars. If the all companies have to pay the same amount and none of them have bills smaller than $1, how much money would they have to pay?
Options:
A.$2,000,000
B.$2,000,001
C.$2,000,004
D.$2,000,007
Answer: C.$2,000,004
Explanation: In order to divide the sum in 6 shares, the amount must be divisible by 6
Divisibility rule of 6: The sum of the digits must be divisible by 6
Sum of digits of 2,000,000 = 2 and 6 is divisible by 6.
Hence, we need to add 4 to this number for it to be divisible by 6
Correct Option: c
Correct Option:	$2,000,004
Question: The average (arithmetic mean) of four numbers is 4x + 6. If one of the numbers is x, what is the average of the other three numbers?
A.x + 1
B.3x + 3
C.5x + 8
D.5x + 4
Answer: C.5x + 8
Explanation: The sum of all four numbers is 4 * (4x + 6) = 16x + 24.
If one of the numbers is x, the sum of the other 3 numbers is 15x+24.
The average of the remaining three numbers is (15x+24)/3 = 5x+8.
The answer is C.
Question: Tavid has d books, which is 3 times as many as Jeff and 1/2 as many as Paula. How many books do the three of them have altogether, in terms of d?
A. 5/6*d
B. 7/3*d
C. 10/3*d
D. 7/2*d
Answer: C. 10/3*d
Explanation: Tavid has d books;
Jeff has d/3 books;
Paula has 2d books;
Total = d+d/3+2d=10d/3.
Answer: C.
Question: A man purchased 3 blankets @ Rs.100 each, 1 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
A.1050
B.2770
C.1550
D.5102
Answer: A.1050
Explanation: 10 * 150 = 1500
3 * 100 + 1 * 150 = 450
1500 – 450= 1050
Answer:A
Question: The side of a square is increased by 30% then how much % does its area increases?
A.52.65
B.69
C.50.75
D.42.75
Answer: B.69
Explanation: a = 100 a2 = 10000
a = 130 a2 = 16900
----------------
10000 --------- 6900
100 -------? => 69 %
ANSWER: B
Question: Some pens are divided among A, B, C and D. A gets twice the number of pens that B gets. C gets the same number of pens as D gets. If A gets 25 pens more than D and the ratio of the number of pens that B and C get is 2 : 3, then find the number of pens that D gets ?
A.56 pens
B.76 pens
C.75 pens
D.87 pens
Answer: C.75 pens
Explanation: Let the number of pens that A, B, C and D get be a, b, c and d respectively.
a : b = 2 : 1
a = c + 25
b : c = 2 : 3
a : b : c : d = 4 : 2 : 3 : 3
a,d get 4p, 3p pens
=> 4p - 3p = 25 (given)
p = 25
=> D gets 3p = 3 * 25 = 75 pens.
Answer:C
Question: A train 160 metres long passes a standing man in 18 seconds. The speed of the train is
A.35 kmph
B.45 kmph
C.32 kmph
D.42 kmph
Answer: C.32 kmph
Explanation: From formula Speed = Distance / Time
Thus, Speed = 160 / 18 => 8.88 sec
or, Speed = 8.88 x 18/5 kmph
or, Speed = 32 kmph
ANSWER:C
Question: How many multiples of 2 are there between 1 and 54, exclusive?
A.21
B.22
C.24
D.26
Answer: D.26
Explanation: 26
multiples of 2 between 1 and 54 exclusive.
from 2 * 1 upto 2*26, (1,2,3,4,...,26). Hence, 26 multiples !
correct option is D
Question: find the terms which do not contain 7 between 1000 and 9999
A.3168
B.3169
C.3170
D.3172
Answer: A.3168
Explanation: Total number of four digit numbers =9000 (i.e 1000 to 9999 )
We try to find the number of numbers not having digit 2 in them.
Now consider the units place it can be selected in 9 ways (i.e 0,1,2,3,4,5,6,8,9)
Tens place it can be selected in 9 ways (i.e 0,1,2,3,4,5,6,8,9)
Hundreds place it can be selected in 9 ways (i.e 0,1,2,3,4,5,6,8,9)
Thousands place can be selected in 8 ways (i.e 1,2,3,4,5,6,,8,9) here '0' cannot be taken
Total number of numbers not having digit 7 in it =9 x 9 x 9 x 8 =5832
Also,Total number of numbers having digit 7 in it = 9000-5832 =3168
ANSWER:A
Question: Find the value for x from below equation: x/3=-2?
A.-6
B.7
C.-3
D.4
Answer: A.-6
Explanation: 1. Multiply both sides by 3:
x*3/3= -2/3
2. Simplify both sides:
x = -6
A
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
A.20 sec
B.10 sec
C.5 sec
D.30 sec
Answer: D.30 sec
Explanation: Explanation:
Speed of train relative to man = 63 - 3 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 500 * 3/50 = 30 sec.
Answer:D
Question: The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number?
A.240
B.270
C.295
D.360
Answer: B.270
Explanation: Let the smallest number be x.
Then larger number = (x + 1365)
x + 1365 = 6x + 15
= 5x = 1350
x = 270
Smaller number = 270.
ANSWER:B
Question: How many odd integers Q between 200 and 600 are there such that their tens digit is even?
A.20
B.25
C.100
D.150
Answer: C.100
Explanation: The hundreds digit can take 4 values: 2, 3, 4 and 5;
The tens digit can take 5 values: 0, 2, 4, 6 and 8;
The units digit can take 5 values: 1, 3, 5, 7 and 9;
Total Q: 4*5*5=100.
Answer: C.
Question: A can copy 50 papers in 10 hrs, while A & B can copy 70 papers in 10 hrs. How many hours are required for B to copy 26 papers?
A.11 hours
B.12 hours
C.13 hours
D.14 hours
Answer: C.13 hours
Explanation: A can copy 50 papers in 10 hrs, while A & B can copy 70 papers in 10 hrs.
It means B can copy 20 papers in 10 hrs.
Then time taken by B to copy 26 papers = 26*10/20 = 13 hours
ANSWER:C
Question: The three digits of a number add up to 23. The number is divisible by 5. The leftmost digit is double the middle digit. What is the product of the three digits?
A.350
B.720
C.360
D.380
Answer: C.360
Explanation: Say the three-digit number is abc.
The leftmost digit is double the middle digit --> a=2b;
The number is divisible by 5 --> c is either 0 or 5;
The three digits of a number add up to 23 --> a+b+c=23
So, either a+b+c=2b+b+0=23 or a+b+c=2b+b+5=23. The first equation does not give an integer value of b, so it's not the case. From the second we get that b=6 --> a=12 and c=5 --> a*b*c=360.
Answer: C.
Question: 34 people attend a party. 4 men are single and the rest are there with their wives. There are no children in the party. In all 22 women are present. Then the number of married men at the party is ?
A.5
B.6
C.7
D.8
Answer: D.8
Explanation: Total people = number of men + number of women
34 = 4 + number of married men + 22
number of married men = 34 - 22-4 = 8 men
ANSWER:D
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
A.750
B.888
C.261
D.787
Answer: A.750
Explanation: 1/2:1/3:1/4 = 6:4:3
Ram = 6/13 * 3250 = 1500
Shyam = 4/13 * 3250 = 1000
Mohan = 3/13 * 3250 = 750
Answer: A
Question: John bought 2 shares and sold them for $96 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had
A.a profit of $10
B.a profit of $8
C.a loss of $8
D.a loss of $10
Answer: C.a loss of $8
Explanation: Loss% = (%age Profit or loss / 10)^2 = (20/10)^2 = 4% loss
Total Selling Price = 96*2 = $192
Total Cost Price = 196/(0.96) = $200
Loss = 200-192 = $8
Answer: Option C
Question: A student chose a number, multiplied it by 2, then subtracted 180 from the result and got 104. What was the number he chose?
A.90
B.100
C.120
D.142
Answer: D.142
Explanation: Solution:
Let x be the number he chose, then
2*x*180=104
2x=284
x=142
correct answer D
Question: Bhanu spends 30% of his income on petrol on scooter 20% of the remaining on house rent and the balance on food. If he spends Rs.300 on petrol then what is the expenditure on house rent?
A.2287
B.140
C.128
D.797
Answer: B.140
Explanation: Given 30% (Income ) = 300 ⇒⇒ Income = 1000
After having spent Rs.300 on petrol, he left with Rs.700.
His spending on house rent = 20% (700) = Rs.140
Answer:B
Question: The average of 5 quantities is 12. The average of 3 of them is 4. What is the average of remaining 2 numbers?
A.24
B.10
C.8
D.9.5
Answer: A.24
Explanation: ANSWER: A
(5x12-3x4)/2=24
Question: For every positive integer n, the nth term of a sequence is the total sum of three consecutive integers starting at n. What is the total sum of terms 1 through 50 of this series?
A.3975
B.4125
C.4375
D.4525
Answer: A.3975
Explanation: Each term of the series has the form (n+n+1+n+2) = 3n+3
Since the series goes from 1 to 50, the sum of the series is:
3(1+2+...+50) + 50(3) =
3(50)(51)/2 + 50(3) =
75*51 + 150 = 3975
The answer is A.