RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The diagonal of a rhombus are 70 m and 160 m. Its area is:
A.1940
B.4800
C.5600
D.5200
Answer: C.5600
Explanation: Area of the rhombus = 1/2 d1d2 = ( 1/2 Ã— 70 Ã— 160) Cm(power)2
= 70 Ã— 80 = 5600 Cm(power)2
Answer is C.
Question: John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
A.16%
B.16.66%
C.17.9%
D.18.12%
Answer: B.16.66%
Explanation: Increase = (10/60)*100 = (1/6)*100 = 16.66%.
B
Question: The jogging track in a sports complex is1100m in circumference. Prakash and his wife start from the same point and walk in opposite directions at 5.2 km/hr and 5.6 km/hr respectively. They will meet for the first time in?
A.6.11 min
B.6.88 min
C.7.18 min
D.8.33 min
Answer: A.6.11 min
Explanation: Clearly, the two will meet when they are 1100 m apart.
To be (5.2 + 5.6) = 10.8 km apart, they take 1 hour.That is 60 minutes.
To be1100 m apart, they take
= (1100/1080 * 60) min
= 6.11 min.
Answer: A
Question: A box contains 10 tablets of medicine A and 13 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.
A.12
B.15
C.17
D.19
Answer: B.15
Explanation: The worst case scenario will be if we remove all 13 tablets of medicine B first. The next 2 tablets we remove have to be of medicine A, so to guarantee that at least two tablets of each kind will be taken we should remove minimum of 13+2=15 tablets.
Answer: B.
Question: A and B can do a piece of work in 8 days. B and C can do it in 12 days and A and C in 16 days. Working together they will complete the work in how many days?
A.7.33 days
B.7.678 days
C.9.38 days
D.7.38 days
Answer: D.7.38 days
Explanation: A + B = 1/8
B + C = 1/12
C + A = 1/16
-------------------------------
2(A + B +C) = 1/8 + 1/12 + 1/16 = 13/48
A + B +C = 13/96
96/13 = 7.38 days
Answer: D
Question: The perimeter of a triangle is 20cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle
A.A)72
B.B)828
C.C)25
D.D)34
Answer: C.C)25
Explanation: Explanation:
Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 20/2 = 25 cm2
Answer: Option C
Question: In Arun's opinion, his weight is greater than 64 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 67 kg. If all of them are correct in their estimation, what is the average of diferent probable weights of Arun ?
A.86.5 kg
B.66.5 kg
C.46.5 kg
D.65.5 kg
Answer: D.65.5 kg
Explanation: Let Arun's weight be X kg.
According to Arun, 64 < X < 72.
According to Arun's brother, 60 < X < 70.
According to Arun's mother, X < 67.
The values satisfying all the above conditions are 65 and 66.
Required average = (65 + 66) / 2 = 65.5 kg
Answer: D
Question: In the exam the average was found to be p mark. After deducting typographical error the average marks of 90 student reduced from 75 to 60 . Due to this the average came down by 15 marks. What was the number of students who took the exam?
A.90
B.100
C.110
D.130
Answer: A.90
Explanation: Explanation :
Number of student = (75-60) * 90/15 = 90
Answer : A
Question: Anil spends 40% of his income on rent, 30% of the remaining on medicines and 20% of the remaining on education. If he saves Rs. 840 every month, then find his monthly salary?
A.2502
B.2528
C.2573
D.2500
Answer: D.2500
Explanation: Let's Anil's salary be Rs. 100.
Money spent on Rent = 40% of 100 = Rs. 40.
Money spent on medical grounds = 30% of (100 - 40) = 3/10 * 60 = Rs. 18.
Money spent on education = 20% of (60 - 18) = 1/5 * 42 = Rs. 8.40
Anil saves 100 - (40 + 18 + 8.40) i.e., Rs. 33.60
for 33.6 ---> 100 ; 840 ---> ?
Required salary = 840/33.6 * 100 = Rs. 2500
Answer:D
Question: The ratio between the perimeter and the width of a rectangle is 5:1. If the area of the rectangle is 96 square centimeters, what is the length of the rectangle in centimeters?
A.11
B.12
C.13
D.14
Answer: B.12
Explanation: Perimeter = 2(W+L) = 5W
3W = 2L
W = 2L/3
WL = 96
2L^2/3 = 96
L^2 = 144
L = 12 cm
The answer is B.
Question: A train passes a station platform in 42 sec and a man standing on the platform in 12 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
A.227
B.450
C.460
D.480
Answer: B.450
Explanation: Speed = 54* 5/18 = 15 m/sec.
Length of the train = 15 * 12 = 180 m.
Let the length of the platform be x m . Then,
(x + 180)/42 = 15 => x = 450 m.
Answer:B
Question: A train travels at the rate of 10 miles/hr for the first hour of a trip, at 20 miles/hr for the second hour, at 30 miles/hr for the third hour and so on. How many hours will it take the train to complete a 360-mile journey? Assume that the train makes no intermediate stops.
A.8
B.8.5
C.9
D.9.5
Answer: A.8
Explanation: A train travels at the rate of 10 miles/hr for the first hour of a trip, at 20 miles/hr for the second hour, at 30 miles/hr for the third hour and so on. How many hours will it take the train to complete a 360-mile journey? Assume that the train makes no intermediate stops.
I think the easiest way to solve this problem would be simply to count the number of miles it travels per hour (and in total)
Hour miles/hour Total miles
1 10 10
2 20 30
3 30 60
4 40 100
5 50 150
6 60 210
7 70 280
8 80 360
It takes a total of Eight hours to cover the 360 mile distance.
ANSWER: A
Question: The function f is defined for all positive integers n by the following rule: f(n) is the product of the distinct prime factors of n. If f(n) < 75 and n is not prime, what is the greatest possible value of f(n)?
A.72
B.69
C.65
D.60
Answer: B.69
Explanation: Since we need the largest value of f (n), we will start with the largest option.
Option A: 2*2*2*2*2*2 = . This is not a product of distinct prime numbers. Hence incorrect
Option B: 69 = 3*23. This is a product of distinct prime numbers.
Rest all the options are smaller that 69.
Correct Option: B
Question: Village X has a population of 74000, which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year .in how many years will the population of the two villages be equal?
A.15
B.16
C.11
D.18
Answer: B.16
Explanation: Let the population of two villages be equal after p years
Then, 74000-1200p=42000+800p
2000p=32000
p=16
Answer is B.
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
A.30720
B.153600
C.15360
D.307200
Answer: B.153600
Explanation: Perimeter = Distance covered in 8 min. =12000/60x 8	m = 1600 m.
Let length = 3x metres and breadth = 2x metres
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) m2 = 153600 m2
ANSWER:B
Question: If (1*x)y=y, which of the following must be true?
A.x=-1 or y=0
B.x=0 or y=0
C.x=1 or y=1
D.x=-1 or y=-1
Answer: C.x=1 or y=1
Explanation: We have (1*x)y=y.
If x=1, y=1 True
If y=1, (1*x)*1=1True
So, Cwill be the answer.
Question: What is the sum of all the numbers which divides 100 ?
A.408
B.102
C.816
D.916
Answer: A.408
Explanation: You first have to know all the divisor of 100. They are 2,4,5,10,20,25,50 and 100. If you add all these numbers together, you get 408.
Final Answer:
A
Question: Among 300 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?
A.30
B.90
C.120
D.172
Answer: B.90
Explanation: I would just like to add a bit of explanation after the step where you calculate that the number of students studying both M and S = 90
Using your analysis:
We see that the total number of students who study either Maths or Sociology = 132 + 168 - 90 = 210
So, in the image we know that the number of students in the zone with the black boundary = 210
Let's assume the number of students who studyonlybiology to beb(this is the number that we have to maximize)
And, let's assume the number of students who study none of the three subjects, that is the number of students in the white space =w
Since the total number of students = 300, we can write:
210 +b+w= 300
Or,b+w= 300 - 210 = 90
That is,b= 90 -w
So, the maximum value ofbwill happen forw= 0
This is how we get, the maximum value ofb= 90
B
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
A.25
B.15
C.18
D.47
Answer: D.47
Explanation: Let the length of the train be x m.
When a train crosses an electric pole, the distance covered is its own length.
So, x = 12 * 36 * 5 /18 m = 120 m.
Time taken to cross the platform = (120 +350)/ 36 * 5/18
= 47 min.
Answer:D
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.59000?
A.81000
B.81007
C.74671.875
D.81066
Answer: C.74671.875
Explanation: 59000* 9/8 * 9/8 = 74671.875
Answer:C
Question: If a man walks to his office at ¾ of his usual rate, he reaches office 1/3 of an hour late than usual. What is his usual time to reach office?
A.1
B.2
C.3
D.4
Answer: A.1
Explanation: Speed Ratio = 1:3/4 = 4:3
Time Ratio = 3:4
1 -------- 1/3
3 --------- ? è 1 hour
Answer:A
Question: If the cost of k metres of cable wire is c rupees, then what is the cost of m metres of cable wire at the same rate?
A.Rs. (mc)
B.Rs. (mc/k)
C.Rs. (kc)
D.Rs. (km/c)
Answer: B.Rs. (mc/k)
Explanation: Explanation :
Cost of k metres = Rs. c
Cost of 1 metre=Rs.(c/k)
Cost of m metres=Rs.[(c/k).m]=Rs.(mc/k)
Answer : B
Question: Ravi covers a distance of 900mtrs in 180 secs. Find his speed in kmph?
A.10 kmph
B.18 kmph
C.20 kmph
D.26 kmph
Answer: B.18 kmph
Explanation: Given distance D= 900 meters and Time= 180 seconds
Speed = Distance/Time
= 900/180
= 5 m/s.
But speed is asked in kmph , to convert 5 mps to kmph , multiply it by
18/ 5
.
Speed in kmph = 5 x 18/5
= 18 kmph
B
Question: Light glows for every 13 seconds . How many times did it between 1:57:58 and 3:20:47 am
A.381
B.382
C.383
D.384
Answer: C.383
Explanation: the diff in sec between 1:57:58 and 3:20:47 is 4969 sec, 4969/13 = 382.
so total 383 times light ll glow
ANSWER:C
Question: If you add all the numbers on your mobile phone , what is the answer?
A.45
B.50
C.55
D.100
Answer: A.45
Explanation: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are in your mobile phone.
Therefore 0+1+2+3+4+5+6+7+8+9=45
Answer is A
Question: If the average cost of a house was $50,000 in 1955 and was x in 2005, what was the average increase in home prices per year over this period?
A.A)(x+50,000)/40
B.D)(50,000-x)/40
C.C)(50,000/40)+x
D.B)(x-50,000)/50
Answer: D.B)(x-50,000)/50
Explanation: Average house price in 2005: x
Average house price in 1965: 50,000
2005-1955=50
Average increase per year: (x-50,000)/50
Answer is D
Question: If it is 5:14 in the evening on a certain day, what time in the morning was it exactly 2,880,702 minutes earlier? (Assume standard time in one location.)
A.5:32
B.5:36
C.5:48
D.5:54
Answer: A.5:32
Explanation: 5:14 minus 2,880,702 must end with 2, the only answer choice which ends with 2 is A.
Answer: A.
Question: What is the greatest of 3 consecutive integers whose sum is 30?
A.8
B.9
C.10
D.11
Answer: D.11
Explanation: 30 / 3 = 10
The three numbers are 9, 10, and 11.
The answer is D.
Question: What is the perimeter of a regular polygon with sides of length 12 cm and internal angles measuring 120° each?
A.72 cm
B.108 cm
C.120 cm
D.132 cm
Answer: A.72 cm
Explanation: Sum of all interior angles is given by:
180(n-2) = n is number of sides
180(n-2) = 120*n
from here
n =6
So perimeter becomes 12*6= 72
answer A
Question: In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
A.656 ways
B.500 ways
C.716 ways
D.765 ways
Answer: B.500 ways
Explanation: We can select one boy from 20 boys in 20 ways.
We select one girl from 25 girls in 25 ways
We select a boy and girl in 20 * 25 ways i.e., = 500 ways.
Answer: B
Question: Kumar started from Chennai at x hrs y minutes and travelled to Vellore. He reached Vellore at y hrs z minutes. If the total travel time was z hrs and x minutes, his starting time in Chennai could have been ______ (Assume clock format to be 0 to 24 hrs).
A.02:08 hrs
B.13:03 hrs
C.00:02 hrs
D.12:01 hrs
Answer: C.00:02 hrs
Explanation: DETAILED SOLUTION
x, y or z cannot be greater than 24
Also x + y + z cannot be greater than 24
Given x hrs + z hrs = y hrs
Also y min + x min = z min
The only value of x that will satisfy the above 2 equations is 0.
Hence, from among the choices given, the time could be 00:02 hrs
CORRECT ANSWER C.
Question: How many words can be formed by using all letters of the word 'MACHINE' ?
A.1120
B.1200
C.1570
D.5040
Answer: D.5040
Explanation: The word MACHINE contains 7 different letters
Required number of words = 7P7 = 7! = 7*6*5*4*3*2*1 = 120
Answer is D
Question: Calculate how many seconds it eill take for 4 bells to toll together again, given that they begin to toll together respectively at the intervals of 5, 8, 11 and 15 seconds. ?
A.1310
B.1320
C.1322
D.1323
Answer: B.1320
Explanation: LCM of 5, 8, 11 and 15 is
1320
LCM=1320
ANSWER:B
Question: A bag contains 6 green jacks and 24 white jacks. One jack is drawn at random. What is the probability that the jack is white?
A.3/4
B.4/5
C.7/8
D.1
Answer: A.3/4
Explanation: Explanation:
Total cases = 6 + 24 = 30
Favourable cases = 24
So probability = 24/30 = 4/5
Answer: A
Question: Evaluate : 86 x 863 - 86 x 237
A.45823
B.53836
C.44824
D.66524
Answer: B.53836
Explanation: 86 x 863 + 986 x 237 = 986 x (863 - 237) = 86 x 626 = 53836.
Answer is B
Question: Mike drives his new Corvette from San Francisco to Las Vegas, a journey of 640 miles. He drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. If the second half of the trip takes him 200 percent longer than the first half, what is his average rate Q in miles per hour for the entire trip?
A.Q=26.7
B.Q=30.0
C.Q=40.0
D.Q=53.3
Answer: C.Q=40.0
Explanation: VERITAS PREPOFFICIAL SOLUTION
Correct Answer: C
Using the formula: Time = Distance/Rate, we find that Mike takes 4 hours to cover the first 320 miles of his trip. Since the 2nd 320 miles take 200% longer than the first, it takes Mike 8 hours longer, or 12 hours. (Note: 200% longer than the first half is not 200% of the first half.) The overall time is 4 hours + 12 hours or 16 hours. Since the definition of Average Rate = Total Distance Traveled/Total Time of Travel, Mike's average rate = 640/16 or 40 miles per hour.
Answer choice C is correct.
Question: A sum was put a simple interest at a certain rate for 3 years. Had it been put at 3% higher rate, it would have fetched Rs. 90 more. The sum is:
A.s.750
B.s.900
C.s.1000
D.s.1200
Answer: C.s.1000
Explanation: Explanation :
Let the sub be Rs.x and the initial rate be R%.Then
x Ã— (R+3) Ã— 3/100âˆ’xÃ—RÃ—3/100=90
â‡’x Ã— 3Ã—3/100=90
â‡’x Ã— 3 /100=30
â‡’3x=3000
â‡’x=1000
Answer : Option C
Question: A bank issued credit card numbers and the corresponding PIN (Personal Identification Number). Both are 3-digit numbers up to 996. Pinaki was the last to get the credit card and so he had the last possible credit card number.
He was afraid of forgetting his PIN. He wrote down the number 128 in his diary to remember his PIN. He also wrote out the way to calculate 128 : "Multiply the card number by PIN. Divide the product by 997. The remainder is 128".
Once, Prafull saw his diary in which Pinaki wrote this number 128. Prafull did a lot of purchasing, as he now knows Pinaki's PIN. What is Pinaki's PIN?
A.867
B.869
C.871
D.873
Answer: B.869
Explanation: Explanation :
Let, the PIN is x.
According to the question,
The card number =996 and Remainder =128.
Thus, (996 × x)/997=128.
=>x= 869.
Answer : B
Question: 189. The inside dimensions of a rectangular wooden box
are 8 inches by 10 inches by 12 inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has maximum
volume?
A. 3
B. 4
C. 5
D. 6
Answer: C. 5
Explanation: Since the radius is squared, the biggest volume cylinder will have the biggest possible radius. To achieve that, let the smaller dimension of the rectangular box be the height. So, it will have 12x10 width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 10, so the radius will be 5.
C
Question: The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4 ?
A.76
B.29
C.26
D.19
Answer: A.76
Explanation: Explanation:
Average = total runs / no.of innings = 32
So, total = Average x no.of innings = 32 x 10 = 320.
Now increase in avg = 4runs. So, new avg = 32+4 = 36runs
Total runs = new avg x new no. of innings = 36 x 11 = 396
Runs made in the 11th inning = 396 - 320 = 76
Answer: A
Question: A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 42 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
A.40x
B.75x
C.48x
D.24x
Answer: A.40x
Explanation: The larger rim must circulate for the same number of inches the smaller rim does.
C = (pi)d
C(small): (pi)*28
C(large): (pi)*42
Lets say the time horizon is 60 seconds, so during that time the smaller rim covers a distance of (pi)*28*60 = (pi)*(1680) inches
(pi)*(1680) = (pi)*(42)(x)
pi*(40) = pi*(x)
40=x
Answer: A. 40x
Question: The original price of a suit is $150. The price increased 20%, and after this increase, the store published a 20% off coupon for a one-day sale. Given that the consumers who used the coupon on sale day were getting 20% off the increased price, how much did these consumers pay for the suit?
A.$130
B.$136
C.$144
D.$150
Answer: C.$144
Explanation: 0.8*(1.2*150) = $144
The answer is C.
Question: For each 6-month period during a light bulb's life span, the odds of it not burning out from over-use are half what they were in the previous 6-month period. If the odds of a light bulb burning out during the first 6-month period following its purchase are 1/4, what are the odds of it burning out during the period from 6months to 1 year following its purchase?
A.5/27
B.2/9
C.1/2
D.4/9
Answer: D.4/9
Explanation: P(of not burning out in a six mnth period)=1/2 of P(of not burning out in prev 6 mnth period)
P(of burning out in 1st 6 mnth)= 1/4
--->P( of not burning out in 1st 6 mnth)=1-1/4=3/4
---->P(of not burning out in a six mnth period)=1/2 *3/4=3/8--->P(of burning out in a six mnth period)=1-1/3=2/3
now
P( of burning out in 2nd six mnth period)=P( of not burning out in 1st six mnth)*P(of burning out in a six mnth)
=3/4 * 5/8=1/2
Ans D
Question: The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
A.81:121
B.81:128
C.81:113
D.81:112
Answer: A.81:121
Explanation: Ratio of the sides
= ³√729 : ³√1331
= 9 : 11
Ratio of surface areas
= 92 : 112
= 81:121
Answer:A
Question: A bag contains 1` red jellybeans and 10 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability that all 3 jellybeans removed from the bag are blue?
A.9/100
B.2/19
C.1/8
D.3/20
Answer: C.1/8
Explanation: Method-1
10 red jellybeans and 10 blue jellybeans
Total Outcomes = No. of ways to choose 3 Jelly bean at random out of a total 20 jellybeans = 20C3 = 1140
Favourable Outcomes = No. of ways to choose 3 Jelly bean such that they are all Blue out of 10 Blue = 10C3 = 120
Probability = Favourable Outcomes / Total Outcomes = 10C3 / 20C3
Probability = 120 / 1140 = 1/8
Answer: option B
Method-2
Probability of First jelly bean to be Blue = 10/20 [Total 10 Blue out of total 20 jellybeans]
Probability of Second jelly bean to be Blue = 9/19 [Total 9 Blue remaining out of total 19 jellybeans remaining]
Probability of Third jelly bean to be Blue = 8/18 [Total 8 Blue remaining out of total 18 jellybeans remaining]
Required Probability = (10/20)*(9/19)*(8/18) = 2/19
Answer: option C
Question: If 60% of a number is greater than 30% of 10 by 27, what is the number?
A.50
B.100
C.30
D.75
Answer: A.50
Explanation: Explanation:
60/100 * x - 30/100 * 10 = 27
60/100 * x - 3 = 27
60/100 * x = 30
x = 30 * 100 / 60
x = 50
Answer: Option A
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good?
A.125/129
B.125/129
C.125/126
D.125/120
Answer: C.125/126
Explanation: Required probability
= 1 - 1/126
= 125/126
Answer:C
Question: A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?
A.2888
B.2790
C.1210
D.2756
Answer: C.1210
Explanation: π (232 – 122)
= 1210
Answer: C
Question: The largest four digit number which is a multiple of 8, 10,12 and 15 is:
A.9960
B.9950
C.9940
D.9930
Answer: A.9960
Explanation: lcm=120
9999/120=83
83*120=9960
ANSWER:A
Question: Mary decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If Mary's savings by the end of the year from these monthly savings were FIVE times the amount she spent per month, what should be the fraction of her salary that she spent each month?
A.1/4
B.3/4
C.12/17
D.15/17
Answer: C.12/17
Explanation: Saving = S, Expenditure = E, Income = I
At the end of 12months; 12S=5E=5(I-S)
=> 17S = 5I => Savings = 5/17 I
Hence Expenditure = 1-(5/17) = 12/17
Answer (C)
Question: A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
A.1/2
B.10/21
C.9/11
D.7/11
Answer: B.10/21
Explanation: Explanation :
Total number of balls = 2 + 3 + 2 = 7
Let S be the sample space.
n(S) = Total number of ways of drawing 2 balls out of 7 = 7C2
Let E = Event of drawing 2 balls , none of them is blue.
n(E) = Number of ways of drawing 2 balls , none of them is blue
= Number of ways of drawing 2 balls from the total 5 (=7-2) balls = 5C2
(âˆµ There are two blue balls in the total 7 balls. Total number of non-blue balls = 7 - 2 = 5)
P(E) = n(E)/n(S)=5C2/7C2=(5X4 /2X1) /(7X6 /2X1)=5X4/7X6 =10/21
ANSWER IS B
Question: If 1 > 1 - ab > 0, which of the following must be true?
I. a/b < 1
II. a/b > 0
III. ab < 1
A.I only
B.II only
C.III only
D.II and III only
Answer: D.II and III only
Explanation: MANHATTAN GMATOFFICIAL SOLUTION:
You can manipulate the original compound inequality as follows, making sure to perform each manipulation on every term:
1 > 1 - ab > 0
0 > -a b > -1 Subtract 1 from all three terms.
0 < ab < 1 Multiply all three terms by -1 and flip the inequality signs.
Therefore you know that 0 < ab < 1. This tells you that ab is positive, so a/b must be positive (a and b have the same sign). Therefore, I must be true. However, you do not know whether a/b < 1, so II is not necessarily true. But you do know that ab must be less than 1, so III must be true.
Therefore, the correct answer is (D).
Question: Maya purchase 13 jars in a store then she returned 4 jars to store .Now how many jars she had?
A.5
B.11
C.19
D.9
Answer: D.9
Explanation: 13-4=9. Answer is D
Question: If KING is coded as 17 and MASS is coded as 29 Then DON is coded as
A.12
B.16
C.18
D.None
Answer: C.18
Explanation: Explanation :
KING = 11+9+14+7=41 i.e (4*4)+(1*1)=17
MASS = 13+1+19+19=52 i.e (5*5)+(2*2)=29
DON = 4+14+15=33 i.e(3*3)+(3*3)=18
Hence (C) is correct
Answer : C
Question: The average of four consecutive odd numbers is 12. Which is the lowest odd number?
A.9
B.3
C.5
D.Cannot be determined
Answer: A.9
Explanation: Let the four consecutive odd nos. be
2x – 3, 2x – 1, 2x + 1 and 2x + 3.
Now, 2x = 12 or, x = 6
Lowest odd no. = 2 × 6 – 3 = 9
Answer A