RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: In a group of 150 readers who read science fiction or literacy works or both, 120 read science fiction and 90 read literacy works. How many read both science fiction and literacy works?
A.70
B.60
C.90
D.100
Answer: B.60
Explanation: Consider total number of reader n(S U L) = 150
People who read science fiction n(S) = 120
People who read literacy works n(L) = 90
both science fiction and literacy n(S âˆ© L) = ?
n(S U L) = n(S)+ n(L) - n(S âˆ© L)
150 = 120 + 90- n(S âˆ© L)
n(S âˆ© L) = 210 -150
n(S âˆ© L) = 60
SO People read both science fiction and literacy works are 160
ANSWER:B
Question: A wholesaler marks his wares 60% more than the real price and allows 25% discount. His profit is:
A.15%
B.20%
C.25%
D.30%
Answer: B.20%
Explanation: Let the CP = 100 Rs.
Mark Price = 160
Discount = 25%
Selling price 75/100 Ã— 160
Hence profit = 20%
Answer: B.
Question: Find the value of (75983*75983- 45983*45983/30000)
A.129166
B.121696
C.126196
D.121966
Answer: D.121966
Explanation: Given expression=(75983)2-(45983)2/(75983-45983)
=(a-b)2/(a-b)
=(a+b)(a-b)/(a-b)
=(a+b)
=75983+45983
=121966
Answer is D.
Question: what is the radius of a circle that has a circumference of 3.14 meters?
A.0.5 mtr
B.1.5 mtr
C.2.3 mtr
D.0.2 mtr
Answer: A.0.5 mtr
Explanation: circumference of a cirlce = 2nr, given circumference= 3.14 mtr.
2nr= 3.14, 2 x 3.14 x r= 3.14, = 6.28 x r=3.14, r= 3.14/6.28, = 0.5mtr. correct answer: (A)
Question: A watch was sold at a loss of 5%. If it was sold for Rs.500 more, there would have been a gain of 5%. What is the cost price?
A.1000
B.2998
C.2778
D.2788
Answer: D.2788
Explanation: 95%
105%
--------
10% ---- 500
100% ---- ? => Rs.5000
Answer:D
Question: Marketing executives for a certain chewing gum company projected a 20 percent increase in revenue this year over that of last year, but revenue this year actually decreased by 35%. What percent of the projected revenue was the actual revenue ?
A.54.2%
B.58%
C.62.5%
D.64%
Answer: A.54.2%
Explanation: Last year revenue = 100 (assume);
This year revenue = 65;
Projected revenue = 120.
Actual/Projected*100=65/120*100 = 54.2%.
Answer: A.
Question: A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 400 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day?
A.2880.
B.4860.
C.5780.
D.5760.
Answer: A.2880.
Explanation: Efficiency per machine = 400 watt/hr
Efficiency due to increase in wind speed = 400*120% => 480 watt/hr
Production by each machine in 2 hours is 480*2 => 960 watt
Production by 3 machines => 960 watt * 3 = 2880 watt
Answer will be (A)
Question: There are k-2 members in a certain band, including Jim and Ellen. Two members are to be selected to attend the Grammy awards ceremony. If there are 3 possible combinations in which Jim and Ellen are not selected, what is the value of k?
A.6
B.7
C.8
D.9
Answer: B.7
Explanation: There are k-2 members in the band, and k-4 members without Jim and Ellen.
(k-4)C2 = 3
(k-4)(k-5)/2 = 3
(k-4)(k-5) = 6 = 3*2
k = 7
The answer is B.
Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
A.398
B.88
C.960
D.781
Answer: C.960
Explanation: 60(x + 1) = 64x
X = 15
60 * 16 = 960 km.Answer:C
Question: A sum of money at simple interest amounts to Rs. 805 in 3 years and to Rs. 854 in 4 years. The sum is:
A.s. 650
B.s. 690
C.s. 688
D.s. 700
Answer: C.s. 688
Explanation: S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (805 - 117) = Rs. 688.
Answer: Option C
Question: Aaron will jog from home at 2 miles per hour and then walk back home by the same route at 4miles per hour. How many miles from home can Aaron jog so that he spends a total of 3 hours jogging and walking?
A.5
B.7
C.3
D.9
Answer: C.3
Explanation: xyt/(x+y)
x= 2, y=4 t= 3
2*4*3/2+4 = 18/6 = 3
Answer : C
Question: There are 7 points marked on the circumference of a circle. How many hexagons can be formed by connecting 6 points of the 7 points?
A.5
B.6
C.7
D.8
Answer: C.7
Explanation: 7C6=7
The answer is C.
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.2/5
B.7/9
C.3/11
D.8/5
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 number whose fifth part increased by 5 is equal to its fourth part diminished by 5 is ?
A.160
B.180
C.200
D.220
Answer: C.200
Explanation: Answer
Let the number be N.
Then, (N/5) + 5 = (N/4) - 5
⇒ (N/4) - (N/5) = 10
⇒ (5N - 4N)/20 = 10
∴ N = 200
Option: C
Question: If x is a positive number and 5 the square root of x is equal to x/25, then x =
A.10
B.25
C.5
D.2
Answer: B.25
Explanation: 5 of sqrt(x) = x/25, which means that sqrt(x) = x/5
or x = x^2/25 -> divide by x
1=x/25
x=25
B.
Question: If x is a number such that x^2 + 2x - 24 = 0 and x^2 - 5x + 4 = 0, then x =
A.4
B.-4
C.-3
D.-6
Answer: A.4
Explanation: x^2 + 2x - 24 = (x+6)(x-4) = 0
Then x=-6 or x=4.
x^2 - 5x + 4 = (x-4)(x-1) = 0
Then x=4 or x=1.
Thus x=4.
The answer is A.
Question: In a camp, there is a meal for 80 men or 200 children. If 150 children have taken the meal, how many
men will be catered to with the remaining meal ?
A.38 men
B.32 men
C.34 men
D.20 men
Answer: D.20 men
Explanation: Explanation:
There is meal for 200 children. 150 children have taken the meal.
Remaining meal is to be catered to 50 children.
Now, 200 children =80 men
So, 50 Children = 80/200 * 50 = 20 men
Answer: D
Question: Raju purchased an item for Rs.4,500 and sold it at the gain of 15%. From that amount he purchased another item and sold it at the loss of 10%. What is his overall gain/loss?
A.Gain of Rs.151.50
B.Gain of Rs.157.50
C.Loss of Rs.165
D.neither gain nor loss
Answer: B.Gain of Rs.157.50
Explanation: Explanation:
1st SP = Rs.4500 + 15% of 4500 = Rs.4500+Rs.675 = Rs.5175
2nd CP = Rs.5175.
SP = Rs.5175 – 10% of 5175 = Rs.4657.50
Overall gain = Rs.4657.50 – 4500 = Rs.157.50
Answer: Option B
Question: Find the compound ratio of (3:2), (4:3) and (1:4) is
A.1:2
B.2:3
C.3:4
D.4:5
Answer: A.1:2
Explanation: Required ratio = 3/2 * 4/3 * 1/4 = 1/2 = 1:2
Answer is A
Question: A(5, w^3) is the (x, y) coordinate of point located on the parabola Y = X^2 + 2. What is the value of w?
A.3.
B.4.
C.5.
D.6.
Answer: A.3.
Explanation: Y = X^2 + 2
X= 5
Y = 5^2+2= 27
Y is in the form w^3
w^3=27
w=3
ANSWER:A
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
A.22
B.350
C.268
D.277
Answer: B.350
Explanation: Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 = 50/3
3x + 900 = 1950 => x = 350 m.
Answer:B
Question: A table is bought for Rs.600/- and sold at a loss of 15% find its selling price
A.s.500/-
B.s.530/-
C.s.540/-
D.s.510/-
Answer: D.s.510/-
Explanation: 100 % ------> 600 (100 * 6 = 600)
85 % ------> 510 (85 * 6 = 510)
Selling price = Rs.510/-
D
Question: A two digit number when 18 added becomes another two digit number with reversed digits. How many such two digit numbers are possible?
A.8
B.7
C.1
D.9
Answer: C.1
Explanation: Let the two digit number be 'ab' and the number formed after adding 18 to it is 'ba'
So ab + 18 = ba
⇒⇒ (10a + b) + 18 = 10b + a
⇒⇒ 18 = 9b – 9a
⇒⇒ 2 = b – a
So we know that ab, ba both are two digit numbers so a, b ≠≠ 0.
Also when b = 9, a = 7; b = 8, a = 6; b = 7, a = 5; b = 6, a = 4; b = 5, a = 3; b = 4, a = 2; b = 3, a = 1
Answer:C
Question: Nr Books bought Nr of People
5 3
6 3
7 7
8 2
9 8
What is the median of books bought per person?
A.a) 2
B.b) 4
C.c) 7
D.d) 8
Answer: C.c) 7
Explanation: 5, 5, 5, 6, 6, 6, 7, 7, 7, 7,7 ,7, 7, 8, 8, 9, 9, 9,... (8 times)
so you will observer that the median of the list is 7.
Ans C
Question: What will be the fraction of 20%
A.1/4
B.1/5
C.1/10
D.1/8
Answer: B.1/5
Explanation: Explanation:
It will 20*1/100 = 1/5
Answer: Option B
Question: The difference between a number and its two-fifth is 45. What is the number?
A.64
B.75
C.80
D.89
Answer: B.75
Explanation: Explanation:
Let the number be x.
x – (2 / 5) x = 45
(3/5) x = 45
x = 75
ANSWER:B
Question: When x is multiplied by 3, the result is 4 more than the result of subtracting x from 16. What is the value of x?
A.-4
B.-2
C.5
D.13
Answer: C.5
Explanation: The equation that can be formed is:
3x-4=16-x
or, 4x=20
or, x=5.
Answer : C
Question: 2664÷12÷6=?
A.43
B.37
C.41
D.33
Answer: B.37
Explanation: 2664 ÷ 12 = 222
222 ÷ 6 = 37
Answer is B
Question: A password of a computer used four digits where they are from 0 and 9. What is the probability that the password only consists of even numbers?
A.1/4
B.1/16
C.1/32
D.1/400
Answer: B.1/16
Explanation: There are five possibilities out of ten that the each digit is even, so the overall probability is 1/2 * 1/2 * 1/2 * 1/2 (answer B)
Question: In a certain alphabet, 10 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
A.6
B.8
C.14
D.20
Answer: A.6
Explanation: We are told that all of the letters contain either a dot or a straight line or both, which implies that there are no letters without a dot and a line (no line/no dot box = 0).
First we find the total # of letters with lines: 10+24 = 34;
Next, we find the total # of letters without line: 40 - 34 = 6;
Finally, we find the # of letters that contain a dot but do not contain a straight line: 6 - 0 = 6.
A
Question: A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
A.298 m
B.279 m
C.500 m
D.289 m
Answer: C.500 m
Explanation: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (800 + x)/60 = 65/3
x = 500 m.
Answer: C
Question: John had a stock of 1100 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?
A.50.4%
B.63.4%
C.66.5%
D.34.9%
Answer: B.63.4%
Explanation: Let N be the total number of books sold. Hence
N = 75 + 50 + 64 + 78 + 135 = 402
Let M be the books NOT sold
M = 1100 - N = 1100 - 402 = 698
Percentage
Books not sold / total number of books = 698/1100 = 0.634 = 63.4%
correct answer B
Question: If 22^n is a divisor of 97!+98! ,what is the maximum possible value of integer n?
A.8
B.9
C.10
D.11
Answer: B.9
Explanation: 22^n means power of 11 as 2 would surely have more power than 11 in a factorial..
97!+98!=97!(1+98)=97!*99....
99 will have ONE 11 and 97! will have 97/11 or 8..
Total 1+8=9
ANSWER:B
Question: If a number 105 divides into n with no remainder, which of the following must be a factor of n?
A.2
B.4
C.6
D.7
Answer: D.7
Explanation: 105 / n = k (with k an integer)
(7)(5)(3) / n = k
n must have a 7 in his prime factorization to divide 105 without remainder.
answer D
Question: How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5280, 6336
A.4
B.5
C.6
D.7
Answer: B.5
Explanation: A number is divisible by 132, if it is divisible by each one of 11, 3 and 4.
Clearly, 968 is not divisible by 3. None of 462 and 2178 is divisible by 4.
Each one of remaining 5 is divisible by each one of 11, 3 and 4 and therefore, by 132.
ANSWER:B
Question: A factory produced 2300 TV sets in its first year of production. 4500 sets were produced in its second year and 500 more sets were produced in its third year than in its second year. How many TV sets were produced in three years?
A.9,800
B.11,800
C.10,800
D.17,800
Answer: B.11,800
Explanation: 500 TV sets were produced in the third year than in the second year. The number of sets produced in the third year is equal to
4,500 + 500 = 5,000
The number of TV sets produced in three years is equal to sum of the number of TV sets produced in each year
2,300 + 4,500 + 5,000 = 11,800
correct answer B
Question: A & B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 4500 as profit , what is their total profit?
A.28000
B.30000
C.31500
D.34000
Answer: C.31500
Explanation: Explanation :
Suppose B's investment = x. Then A's investment= 3x
Suppose Bs period of investment = y, then A's period of investment = 2y
A : B = 3x * 2y : xy
= 6 : 1
Total profit * 1/7 = 4500
=> Total profit = 4500*7 = 31500. Answer : Option C
Question: If the sum of a number and its square is 240, what is the number?
A.15
B.26
C.28
D.91
Answer: A.15
Explanation: Let the number be x. Then,
x + x2 = 240
(x + 16)(x - 15) = 0
x = 15
ANSWER:A
Question: The amount of principal Rs.4000 at compound interest at the ratio of 10% p.a. for 3 years is
A.Rs.4325
B.Rs.5324
C.Rs.3425
D.Rs.5342
Answer: B.Rs.5324
Explanation: p== 4000
r== 10
y== 3
so,, 1st intrest 4000+400==4400
2nd 4400+440== 4840
3rd year 4840+484==5324
ANSWER:B
Question: Let A be a natural number consisting only 1. B is another natural number which is equal to quotient when A is divided by 13. C is yet another natural number equal to the quotient when B is divided by 7. Find B-C.
A.4586
B.5648
C.6485
D.7326
Answer: D.7326
Explanation: let A=111111 when which is divide by 13 we get quotient 8547 and remainder=0 {111111 is 1st no. which is divisible by 13}.
this quotient is equal to i.e B=8547
and c equal to quotient of B when it is divided by 7
then we get C=1221
now B-C=8547-1221=7326.
ANSWER:D
Question: For any 7 given numbers, which of the following is always equivalent to adding the 3 numbers together and then dividing the sum by 3?
I. Ordering the 3 numbers numerically, from highest to lowest, and then selecting the middle number.
II. Dividing each of the numbers by 3 and then adding the results together.
III. Multiplying each number by 6, adding the resulting products together, and then dividing the sum by 9.
A.I only
B.II only
C.I and II only
D.II and III only
Answer: C.I and II only
Explanation: Let the 3 numbers be x, y and z.
Question: Which of the following is equivalent to (x + y + z)/3
I. Ordering the 3 numbers numerically, from highest to lowest, and then selecting the middle number. --> Not always equivalent Eg: 111 and 141
II. Dividing each of the numbers by 3 and then adding the results together. --> x/3 + y/3 + z/3 = (x + y + z)/3 --> Equivalent
III. Multiplying each number by 6, adding the resulting products together, and then dividing the sum by 9. --> (6x + 6y + 6z)/9 = 2(x + y + z)/3 --> Not equivalent
Answer: C
Question: The unit digit in the product 4556*3432*4581*2784 is?
A.8
B.1
C.2
D.3
Answer: A.8
Explanation: Unit digit in the given product = unit digit in 6*2*1*4 = 8
Answer is A
Question: The sale price sarees listed for Rs.480 after successive discount is 15% and 25% is?
A.298
B.237
C.306
D.876
Answer: C.306
Explanation: 480*(85/100)*(75/100)
= 306
Answer: C
Question: A thief is spotted by a policeman from a distance of 100 meters. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken?
A.350m
B.200m
C.400m
D.500m
Answer: C.400m
Explanation: Relative speed of the policeman = (10-8) km/hr =2 km/hr.
Time taken by police man to cover
(100m/1000) x 1/2 hr = 1/20 hr.
In 1/20 hrs, the thief covers a distance of 8 x 1/20 km = 2/5 km = 400 m
Answer is C.
Question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of and then $9 million in royalties on the next $106 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
A.8%
B.47%
C.45%
D.52%
Answer: B.47%
Explanation: (9/106)/(3/20) = 30/54 = 56,6% it means that 9/106 represents only 56,6%. Therefore a decrease of 47%.
Answer B
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 45 kmph, find the speed of the stream?
A.12 kmph
B.13 kmph
C.14 kmph
D.15 kmph
Answer: D.15 kmph
Explanation: The ratio of the times taken is 2:1.
The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1) = 3/1 = 3:1
Speed of the stream = 45/3 = 15 kmph
ANSWER:D
Question: A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
A.270
B.279
C.276
D.271
Answer: A.270
Explanation: 12*8 :16*9 = 18*6
8: 12: 9
9/29 * 870 = 270
Answer: A
Question: A rod of length 30 feet is broken into two pieces. The longer rod is 12 feet longer than the shorter one. What is the length of the shorter rod?
A.15
B.12
C.8
D.9
Answer: D.9
Explanation: Since, 30 is the total length. Smaller is any one from answers.
Try Back solving from Middle answer, i.e. 8. 8+(8+12) = 28 < 30
Hence, Select next bigger no. : 9 +(9+12) =30. So, 9 is the answer
Answer is D
Question: Calculate how long it will take a swimmer to swim a distance of 7km against the current of a river which flows at 2.5km/hr, given that he can swim in still water at 4.4km/h
A.6.67
B.1.67
C.2.67
D.3.67
Answer: D.3.67
Explanation: swim in still water at = 4.4
speed of river= 2.5
US = 4.4 - 2.5= 1.9
Distance = 7
T = 7/1.9 = 3.67
Answer: D
Question: How many 7 in between 1 to 80?
A.18
B.20
C.22
D.23
Answer: A.18
Explanation: 7,17,27,37,47,57,67,
70,71,72,73,74,75,76,77(two 7's),78,79
18 7's between 1 to 80
ANSWER:A
Question: Party of 5 women and 5 men.
A committee consists of 3 women and 2 men
The total number of ways to form this committee.
A.80
B.90
C.100
D.110
Answer: C.100
Explanation: 5C3*5C2=100
ANSWER:C
Question: A factory employs skilled workers, unskilled workers and clerks in the proportion 8 : 5 : 1 and the wage of a skilled worker, an unskilled worker and a clerk are in the ratio 5 : 2 : 3. When 20 unskilled workers are employed, the total daily wages of all amount to Rs. 3180. Find the daily wages paid to each category of employees.
A.Rs. 2100, Rs. 800, Rs. 280.
B.Rs. 2400, Rs. 480, Rs. 300.
C.Rs. 2400, Rs. 600, Rs. 180.
D.Rs. 2200, Rs. 560, Rs. 420
Answer: C.Rs. 2400, Rs. 600, Rs. 180.
Explanation: Skilled workers, unskilled workers and clerks are in the proportion 8 : 5 : 1
Given 20 unskilled workers, So 5/14 x K = 20, K = 56,
Therefore there are 32 skilled workers, 20 unskilled workers and 4 clerks
Ratio of amount of 32 skilled workers, 20 unskilled workers and 4 clerks
= 5 x 32 : 2 x 20 : 3 x 4
= 160 : 40 : 12 or 40 : 10 : 3
Now, divide Rs 3,180 in the ratio 40 : 10 : 3
We get, Rs. 2400, Rs. 600, Rs. 180.
ANSWER:C
Question: A and B are mixed together in the ratio 9 : 11. What is the weight of mixture, if 26.1 kg of A has been consumed in it?
A.56
B.45
C.58.2
D.58
Answer: D.58
Explanation: Explanation :
For 9 kg A, mixture = (9 + 11) kg.
For 26.1 kg A, mixture = ((20/9) x 26.1)kg = 58 kg.
Answer : D
Question: A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets?
A.40%
B.50%
C.65%
D.68%
Answer: B.50%
Explanation: Number of runs made by running = 110 - (3 x 4 + 8 x 6)
= 120 - (60)
= 60
Now, we need to calculate 60 is what percent of 120.
=> 60/120 * 100 = 50%
B
Question: In the city of San Durango, 60 people own cats, dogs, or rabbits. If 36 people owned cats, 40 owned dogs, 10 owned rabbits, and 12 owned exactly two of the three types of pet, how many people owned all three?
A.2
B.4
C.7
D.12
Answer: C.7
Explanation: Total = C + D + R - (CD + DR + CR) - 2CDR
60 = 36 + 40 + 10 - (12) - 2x
x = 7
So, answer will be C
Question: Find the missing number of the following series?
16 8 24 12 36 18 54 ? 81
A.22
B.22
C.86
D.27
Answer: D.27
Explanation: D
27
16/2 = 9
8*3 = 24
24/2 = 12
12*3 = 36
36/2 = 18
18*3 = 54
54/2 = 27
27*3 = 81
Question: A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
A.5529
B.5529
C.5550
D.5528
Answer: C.5550
Explanation: Total production of salt by the company in that year = 5000 + 5100 + 5200 + .... + 6100
= 66600.
Average monthly production of salt for that year = 66600/12
= 5550.
Answer: C
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?
A.4:6
B.4:3
C.4:9
D.4:7
Answer: B.4:3
Explanation: Let us name the trains A and B.
Then, (A's speed) : (B's speed)
= √b : √a = √16 : √9 = 4:3
Answer:B
Question: In 1990 a total of s earthquakes occurred worldwide, some but not all of which occurred in Asia. If t o f these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?
A.s/t
B.t/s
C.t/(s-t)
D.s/(s-t)
Answer: C.t/(s-t)
Explanation: We're given a couple of facts to work with:
1) There were a total of s earthquakes
2) Of those earthquakes, t of them occurred in Asia
We're asked for the ratio of the number of earthquakes that occurred IN ASIA to the number of earthquakes that DID NOT occur in Asia.
Let's TEST VALUES
s = 5 total earthquakes
t = 2 occurred in Asia
Thus, there were 3 earthquakes that DID NOT occur in Asia....
The answer to the question is 2:3
We just need to plug in the values for s and t and find the match...
Answer A: s/t = 5/2 NOT a match
Answer B: t/s = 2/5 NOT a match
Answer C: t/(s-t) = 2/(5-2) = 2/3 This IS a match
Answer D: s/(s-t) = 5/(5-2) = 5/3 NOT a match
Answer E: 1 - (t/s) = 1-2/5 = 3/5 NOT a match
C
Question: If there are twice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30% of the total. What fraction of the total is men who do not own cars?
A.3⁄20
B.11⁄60
C.3⁄10
D.1⁄3
Answer: A.3⁄20
Explanation: Consider a group of 100 men and 200 women, a total of 300 people. 30% of them, which is 90, form a group of people who don't own a car.
Half of them are men, and the other half are women, more precisely 45.
It means that men who own a car represent 45/300 = 3/20 of the total.
Answer A
Question: A train can travel 50% faster than a car. Both start from point A at the same time and reach point B at 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is?
A.176 km/hr
B.189 km/hr
C.175 km/hr
D.197 km/hr
Answer: C.175 km/hr
Explanation: Let speed of the car be x km/hr.
Then, speed of the train = 150/100 x = 3/2 x km/hr.
75/x - 75/(3/2 x) = 125/(10 * 60)
75/x - 50/x = 5/24 = 120 km/hr.
Answer:C
Question: Apples are bought at 7 for Rs. 9/- and sold at 9 for Rs. 7/-. Find the gain or loss percentage?
A.36.59% Gain
B.36.59% Loss
C.39.506% Loss
D.39.506% Profit
Answer: C.39.506% Loss
Explanation: Explanation:
7 Apples -----> 9/-
9 Apples ----> 7/-
Note: In every time same in the cost price articles and selling price articles.
9(7 9) ==> 63 81 = Cost price
7 (9 7) ==> 63 49 = Selling price
Then, 32/81 × 100 = 3200/81 = 39.506% Loss
Answer: Option C