RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Farm Tax is levied on the 90% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. william. Mr. william paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :
A.15%
B.25%
C.0.125%
D.13.88%
Answer: D.13.88%
Explanation: This will be equal to the percentage of total cultivated land he holds over the total cultivated land in the village. That leads to (480/3840)x100 =12.5%in percentage terms.
But the question asks ratio between his total land to total cultivated land. Hence the answer is 12.5%x (100/90) = 13.88%
The correct answer is (D).
Question: Anand and Deepak started a business investing Rs 22500 and 35000 respectively. Out of a total profit of 13,800, Deepak's share is:
A.4400
B.6600
C.7400
D.8400
Answer: D.8400
Explanation: 22500+35000=57500,
so for dipak 35000/57500=0.686
total profit : 13800*0.686= 8400
ANSWER:D
Question: In a mixture of milk and water, the proportion of milk by weight was 70%. If, in a 150-gram mixture, 50 grams of pure milk is added, what would be the percentage of milk in the resulting mixture?
A.75.5%
B.76.5%
C.77.5%
D.78.5%
Answer: C.77.5%
Explanation: The amount of milk is 0.7(150) + 50 = 155 grams.
The proportion is 155/200 = 0.775 which is 77.5%
The answer is C.
Question: 3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?
A.20p
B.13
C.15
D.18
Answer: D.18
Explanation: Sol. 2 oxen = 3 buffaloes = 4 cows 8 oxen = 16 cows and 15 buffaloes = 20 cows 16 cows + 20 cows + 24 cows = 60 cows Since fodder is available for 60 cows for 24 days
So fodder will be available for (60 + 8 + 12) = 80 cows c 24x60 .0 .
for-^—=18 days.
D
Question: A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 3.5 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
A.5729
B.5040
C.2889
D.2870
Answer: B.5040
Explanation: 1/x - 1/6 = -1/8
x = 24 hrs
24 * 60 * 3.5 = 5040.Answer: B
Question: How many of the positive divisors of 240 are also multiples of 4 not including 240?
A.6
B.8
C.9
D.11
Answer: D.11
Explanation: 240 = 2^4 * 3 * 5 = (4) * 2^2 * 3 * 5
Besides (4), the exponents of 2, 3, and 5 are 2, 1, and 1.
There are (2+1)(1+1)(1+1) = 12 ways to make multiples of 4.
We must subtract 1 because one of these multiples is 240.
The answer is D.
Question: A certain psychologist charges $35 more for the first hour of therapy than for each additional hour. If the total charge to a patient who receives 5 hours of therapy is $350, what is the total charge to a patient who receives only 2 hours of therapy ?
A. $120
B. $135
C. $161
D. $165
Answer: C. $161
Explanation: Let the charge for first hour = x+35
then charge for each additional hour = x
x+35 + 4x = 350
=> 5x = 315
=> x = 63
Total charge for patient for 3 hours of therapy = x+35 + x = 2x+35
= 161 $
Answer C
Question: which of the following could be the greatest common factor of positive integers 12 and 16 ? I) 5 II) 4 III) 2
A.I only
B.I,II only
C.II only
D.I,III only
Answer: C.II only
Explanation: 12=2*2*3
16=2*2*2*2
GCF =2*2=4
Answer : C
Question: List I: { y, 2, 4, 7, 10, 11}
List II: {3, 3, 4, 6, 7, 10}
If the median Q of List I is equal to the sum of the median of list II and the mode of list II, then y equals
A.5
B.7
C.8
D.Q=9
Answer: D.Q=9
Explanation: mode of list ii =3
median Q of list ii =4+6/2 =5
sum of mode + mean = 3+ 5=8
now to make 8 as the median we need to find a value of y such that if the no. of terms in list 1 are odd then y=8 else if even then 7+y /2=8
here its even so
7+y/2=8 from this y= 9 (D)
Question: The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?
A.29
B.28
C.299
D.176
Answer: D.176
Explanation: 25x + 46 = 26(x – 5)
x = 176
Answer: D
Question: A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?
A.48 minutes 12 seconds
B.46 minutes 12 seconds
C.26 minutes 12 seconds
D.26 minutes 15 seconds
Answer: B.46 minutes 12 seconds
Explanation: LCM of 252, 308 and 198 = 2772
Hence they all will be again at the starting point after 2772 seconds
or 46 minutes 12 seconds
Answer is B
Question: What will be the result of 7^8 - 6/2 + 9^3 +3+12 ?
A.95
B.64
C.1012
D.9
Answer: A.95
Explanation: The multiplication(e.g. 7^8) and division(e.g. 6/2) is done first and then the sum(e.g. 3+12) and
subtraction (e.g. 56-3), and the answer is 95, option A.
Question: 9. On level farmland, two runners leave at the same time from the intersection of two country roads. One runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 6 miles per hour faster than the first runner's rate. How far apart, to the nearest mile, will they be after 1/2 hour ?
A. 6
B. 7
C. 8
D. 12
Answer: C. 8
Explanation: If runner 1 is going north and runner 2 is going east they are like two sides of a 90 degree triangle.
Side 1 = 8 m/h --> 4 m in 1/2 hr
Side 2 = 14 m/h --> 7 m in 1/2 hr
to complete this right angle triangle
d^2 = 4^2 + 7^2
d^2 = 65
= ~ 8
Answer option C
Question: If a, b, and c are negative integers and 3a - 3b = -3c, then which of the following statements must be true?
I. a> b
II. a> b> c
III. a= c
A.I and II
B.I only
C.II only
D.III only
Answer: B.I only
Explanation: From the question: we infer that a-b= -c
a,bc are negative integers .
ex: a= -4
b= -6
-4 - (-6) = -(-2). this implies a>b
here a is not equql to c (III)
c>b(II)
So (I) will be answer , SO option B)
Question: In how many ways can the letters of word EDUCATION be arranged such that all vowels appear together?
A.72000
B.15000
C.14400
D.14200
Answer: C.14400
Explanation: EDUCATION=Has 5 vowels(AEIOU) and 4 consonant(DCTN)
Total letters=9
For Consonant=5!(that is 4+1 letters. one comes from the vowels )
=5*4*3*2*1=120 ways
For Vowels=5!=5*4*3*2*1=120
Total number of ways=120*120=14400 ways
Option C
Question: At a certain restaurant, the average (arithmetic mean) number of customers served for the past x days was 80. If the restaurant serves 120 customers today, raising the average to 90 customers per day, what is the value of x?
A.2
B.3
C.9
D.15
Answer: B.3
Explanation: WITHOUTusing the formula, we can see that today the restaurant served 30 customers above the average. The total amount ABOVE the average must equal total amount BELOW the average. This additional 30 customers must offset the “deficit” below the average of 90 created on the x days the restaurant served only 80 customers per day.
30/10 = 3 days.Choice (A).
WITHthe formula, we can set up the following:
90 = (80x + 120)/(x + 1)
90x + 90 = 80x + 120
10x = 30
x = 3Answer Choice (B)
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
A.800
B.760
C.650
D.698
Answer: D.698
Explanation: S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (815 - 117) = Rs. 698
Ans is D
Question: Insert the missing number. 34, 7, 37, 14, 40, 28, 43, (...)
A.7
B.56
C.37
D.14
Answer: B.56
Explanation: We have two series here
34, 37, 40, 43, ... (Increase by 3)
7, 14, 28, ... (Multiply by 2)
Hence, next term is 28 × 2 = 56
Answer is B
Question: A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
A.892
B.989
C.1000
D.2729
Answer: C.1000
Explanation: Explanation:
Along one edge, the number of small cubes that can be cut
= 100/10 = 10
Along each edge 10 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut = 10 * 10 * 10 = 1000
Answer: Option C
Question: If in a certain code "RANGE" is coded as 12345 and "RANDOM" is coded as 123678. Then the code for the word
"RAND" would be
A.1236
B.1365
C.1200
D.1526
Answer: A.1236
Explanation: R-1
A-2
N-3
D-6
so for mango the code is 1236
ANSWER:A
Question: A guy was asked to specify his age in years. He said, “Take my age 4 years hence, multiply it by four and subtract four times of my age 4 years ago and you will know my age.” What was the age of that guy?
A.18
B.15
C.13
D.32
Answer: D.32
Explanation: Current age of the guy = A years.
Then, 4 (A + 4) – 4 (A – 4) = A
(4A + 16) – (4A – 16) = A
A = 32
D
Question: The age of Somu is one-third his father's. 8 years back he was one-fifth of his father's age. What is his persent age ?
A.11
B.13
C.14
D.16
Answer: D.16
Explanation: Explanation :
Let Somu's age be x and that of his father be 3x.
So, x - 8 = 3x - 8/5 = x = 16
Answer : Option D
Question: Noelle walks from point A to point B at an average speed of 4 kilometers per hour. At what speed, in kilometers per hour, must Noelle walk from point B to point A so that her average speed for the entire trip is 6 kilometers per hour?
A.6.75
B.7
C.8
D.12
Answer: D.12
Explanation: Let's suppose that speed while returning was xkm/h
Since the distance is same, we can apply the formula of avg speed
Avg speed= 2S1S2/S1+S2
6= 2*4*x/4+x
x= 12
D is the answer
Question: The ratio of the area of a square to that of the square drawn on its diagonal is?
A.2:5
B.3:4
C.3:5
D.1:2
Answer: D.1:2
Explanation: Explanation:
a2:(aâˆš2)2
a2:2a2->1:2
ANSWER IS D
Question: A certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts, by weight. What is the number of pounds of almonds in 150 pounds of the mixture ?
A. 107
B. 84
C. 40
D. 28
Answer: A. 107
Explanation: Almonds : Walnuts = 5 : 2
Total mixture has 7 parts
In a 150 pound mixture, Almonds are 5/7 (total mixture)
= 5/7 * 150 = 107 pounds
Answer (A)
Question: What is the least value of x. So that 23x58 is divisible by 3.
A.2
B.0
C.1
D.3
Answer: B.0
Explanation: Explanation:
The sum of the digits of the number is divisible by 3, then the number is divisible by3.
2 + 3 + x + 5 + 8 = 18 + x
Least value of x may be 0
Therefore 18 + 0 = 18 is divisible by 3.
Answer: Option B
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.288
B.261
C.500
D.287
Answer: C.500
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: A student had the following scores in an exam (out of 100):
Social Studies: 80
Science: 79
Art: 89
Music: 62
Spanish: 56
What are his average marks ?
A.62.2
B.73.2
C.74.2
D.73.2
Answer: D.73.2
Explanation: Explanation:
Average = (80 + 79 + 89 + 62 + 56 )/ 5 =73.2.
Answer: D) 73.2
Question: If N = 2^0.15 and N^b = 64, b must equal
A.3/80
B.3/5
C.40
D.5/3
Answer: C.40
Explanation: 15/100 = 3/20
N = 2 ^ 3/20
N^b = 2^6
(2^3/20)^b = 2^6
b = 40
Answer: C
Question: If Greg buys 3 shirts, 4 trousers and 2 ties, the total cost is $90. If Greg buys 7 shirts, 2 trousers and 2 ties, the total cost is $50. How much will it cost him to buy 3 trousers, 5 shirts and 2 ties?
A.$60
B.$70
C.$75
D.$96
Answer: B.$70
Explanation: Solution: 3x+4y+2z=90 7x+2y+2z=50
adding both the equations= 10x+6y+4z=140
5x+3y+2z=70
ans B
Question: The probability that a computer company will get a computer hardware contract is 3/4 and the probability that it will not get a software contract is 3/5. If the probability of getting at least one contract is 5/6, what is the probability that it will get both the contracts?
A.7/30
B.11/40
C.17/50
D.19/60
Answer: D.19/60
Explanation: Let, A ≡ event of getting hardware contract
B ≡ event of getting software contract
AB ≡ event of getting both hardware and software contract.
P(A) = 3/4, P(~B) =5/9
=> P(B) = 1- (3/5) = 2/5.
A and B are not mutually exclusive events but independent events. So,
P(at least one of A and B ) = P(A) + P(B) - P(AB).
=> 5/6 = (3/4) + (2/5) - P(AB).
=> P(AB) = 19/60.
Hence, the required probability is 19/60.
The answer is D.
Question: In what time will a train 180 m long cross an electric pole, it its speed be 144 km/hr?
A.2.5 sec
B.1.9 sec
C.8.9 sec
D.4.5 sec
Answer: D.4.5 sec
Explanation: Speed = 144 * 5/18
= 40 m/sec
Time taken = 180/40
= 4.5 sec.
Answer: D
Question: A batsman in his 15th innings makes a score of 85, and thereby increases his average by 3. What is his average after the 15th innings? He had never been ’not out’.
A.47
B.37
C.39
D.43
Answer: D.43
Explanation: Average score before 15th innings
= 85 - 3 × 15= 40
Average score after 15th innings
=> 40 + 3 = 43
ANSWER:D
Question: John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 55 miles per hour, what is v in miles per hour?
A.30
B.40
C.50
D.55
Answer: C.50
Explanation: HiBunuel
THe question seems incorrect. it should not be 80% at the speed of 80. However if it's 20% at the speed of 80, Answer comes out 55.
The question is correct. Here's the explanation:
Let distance be D. We can find the total timeequate it, which comes as:
0.8D / 80 + 0.2D / v = D / 55 => v = 50 (Option C).
Question: There are 14 songs in that 5 Rock songs, 6 western songs & 3 Hindi pop songs. How many different albums can be formed using the above repertoire if the albums should contain at least 1 Rock song & 1 western song?
A.15624
B.20000
C.21000
D.23000
Answer: A.15624
Explanation: 15624
A
Question: A sum of money deposited at C.I. amounts to Rs.3250 in 2 years and to Rs.3830 in 3 years. Find the rate percent?
A.30%
B.10%
C.20%
D.17%
Answer: D.17%
Explanation: 3250 --- 580
100 --- ? => 17%
Answer: D
Question: A train, 130 metres long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is
A.245 metre
B.375 metre
C.270 metre
D.220 metre
Answer: A.245 metre
Explanation: speed = 45 km/hr=45 Ã— 5/18 m/s=12.5 m/s
Distance travelled = 12.5 Ã— 30 =375 m
Length of the bridge= 375-130 =245 m
ANSWER: A
Question: The cash realised on selling a 14% stock is Rs.106.25, brokerage being 1/4% is?
A.366
B.106
C.102
D.192
Answer: B.106
Explanation: Cash realised= Rs. (106.25 - 0.25)
= Rs. 106.
Answer: B
Question: A grown man eats 1 big burger in two bite. a women in 10 bites. If man takes a bite from the burger and hands it to the women and she takes 2 bites and hand it to the child who takes 3 bites and burger is finished. How many bites the child can finish the burger by herself?
A.5 bites
B.10 bites
C.15 bites
D.20 bites
Answer: B.10 bites
Explanation: 1- (1/2+ 2/10 + 3 /x) =0x = 10 bites. ANSWER = B
Question: 3 + 3 + 3 + 2 × 3^2 + 2 × 3^3 + 2 × 3^4 + 2 × 3^5 + 2 × 3^6 + 2 × 3^7 =
A.3^7
B.3^8
C.3^14
D.3^28
Answer: B.3^8
Explanation: We have the sum of 9 terms. Now, if all terms were equal to the largest term 2*3^7 we would have: sum=9*(2*3^7)=2*3^9=~3^10, so the actual sum is less than 3^10 and more than 3^7 (option A) as the last term is already more than that. So the answer is clearly B.
Answer: B.
Question: Determine the value of 27/31−54/62
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: Solution:
Both fractions should be reduced before performing arithmetic operations. We get 27/31−2.27/2.31=27/31−27/31=0
Answer A
Question: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher?
A.30 Years
B.49 Years
C.51 Years
D.55 Years
Answer: B.49 Years
Explanation: Total age of students is 32X16 = 512 Years
Total age inclusive of teacher = 33X (16+1) = 561
So, Teacher's age is 561-512 = 49 Yrs
There is a shortcut for these type of problems
Teacher's age is 16+(33X1) = 49 Years
B)
Question: On the planet Oz, there are 8 days in a week- sunday to saturday and another day called Oz day.There are 36 hours in a day and each hours has 90 minutes while each minute has 60 seconds.As on the earth, the hour hand covers the dial twice everyday. Find the approximate angle between the hands of a clock on Oz when the time is 12:40am.
A.> 111 degrees
B.> 251 degrees
C.> 71 degrees
D.> 89 degrees
Answer: D.> 89 degrees
Explanation: As, we have 36 hour in a day. So, the dial has 18 hours(36/2=18) to cover daily twice. Now a dial has 360*. So, in one hour hand moves 360/18=20*.
So, for 12 hour hand moves 12x20=240*.
Now for minutes, hour hand moves 20/90
for 40 minutes it moves 20/90x40=8.88*
So for 12:40 hour hand moves 240+8.88=248.88*.
Now, minute hand moves 90 minutes to complete one hour.
for one minute it moves 360/90=4*
for 40 minutes it moves 4x40=160*
So, the angle between hour hand and minute hand is 248.88-160=88.88
The ans is 89*
ANSWER:D
Question: A number which is divided by 13 and 26 yields same remainder?
A.108
B.61
C.86
D.78
Answer: D.78
Explanation: We can find it with the help of option
108=108/13 and 108/26 not gives the remainder 6 and 3
61=61/13 and 61/26 not gives the remainder 6 and 3
86=86/13 and 86/26 not gives the remainder 6 and 3
78=78/13 and 78/26 gives same remainder 0
Option D
Question: If x and y are the two digits of the number 653xy. Such that this number is divisible by 80, then x+y is equal to
A.3
B.2
C.4
D.1
Answer: B.2
Explanation: Since 653xy is divisible by 5 as well as 2.
So y =0
Now 653x0 must be divisible by 8
So 3x0 must be 8
This happens when x=2
Hence, x+y=2+0 =2
ANSWER B 2
Question: All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
A.1188 liters.
B.1194 liters.
C.1104 liters.
D.1184 liters.
Answer: D.1184 liters.
Explanation: Explanation:
B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k.
Quantity of water in B = 8k - 5k = 3k.
Quantity of water in container C = 8k - 3k = 5k
Container: A B C
Quantity of water: 8k 3k 5k
It is given that if 148 liters was transferred from container C to container B, then both the containers would have equal quantities of water.
5k - 148 = 3k + 148 => 2k = 296 => k = 148
The initial quantity of water in A = 8k = 8 * 148 = 1184 liters.
Answer: Option D
Question: In how many different number of ways 7 men and 4 women can sit on a shopa which can accommodate persons?
A.990
B.210
C.230
D.250
Answer: A.990
Explanation: 11p3 = 11 Ã— 10 Ã— 9 = 990
A)
Question: A person borrows 9000 for 9 years at 3% p.a. simple interest. He immediately lends it to another person at 7 % p.a. for 9 years. Find his gain in the transaction per year.
A.380
B.360
C.340
D.300
Answer: B.360
Explanation: Gain in 9 years
= [(9000Ã—9Ã—7/100)âˆ’(9000Ã—9Ã—3/100)]
= (5670 â€“ 2430) = 3240
âˆ´ Gain in 1 year = (3240/9) = 360
Answer B
Question: Albert is 2 times Mary’s age and 4 times as old as Betty. Mary is 12 years younger than Albert. How old is Betty?
A.6
B.12
C.10
D.15
Answer: A.6
Explanation: A = 2M = M+12
M = 12
A = 24
A = 4B, and so B = 6
The answer is A.
Question: Ramu bought an old car for Rs. 40000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
A.17%
B.22.4%
C.18%
D.14%
Answer: B.22.4%
Explanation: Total CP = Rs. 40000 + Rs. 13000
= Rs. 53000 and SP
= Rs. 64900
Profit(%) = (64900 - 53000)/53000 * 100
= 22.4%
Answer: B
Question: The function f(P) represents the number of ways that prime numbers can be uniquely summed to form a certain number P such that P = a + b + c + d… where those summed variables are each prime and a ≤ b ≤ c ≤ d ... For instance f(8) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5. What is f(12)?
A.4
B.5
C.6
D.7
Answer: D.7
Explanation: So we can start with 2 and check whether sum of two primes is primes is even.
1) 2(6 times)
2) 2(3 times) + 3(2 times)
3) 2(2 times) + 3 + 5
4) 2 + 3 + 7
5) 2 + 5 + 5
6) 3(4 times)
7) 5 + 7
Answer: D
Question: 9log9(7) = ?
A.1
B.2
C.7
D.4
Answer: C.7
Explanation: Exponential and log functions are inverse of each other. Hence
aloga(x) = x , for all x real and positive.
and therefore
9log9(7) = 7
correct answer C
Question: 350 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
A.10
B.12
C.14
D.16
Answer: C.14
Explanation: 26 trees have 25 gaps between them,
Required distance (350/25) = 14
C
Question: A retailer sells products that belong to different categories, A to F, in alphabetical order. The number of products sold in each category is distinct and in ascending order. If at-least 2 products are sold in any category and a total of 27 products were sold last week, what is the probability that a product sold last week belonged to Category D?
A.2/27
B.4/27
C.5/27
D.8/27
Answer: C.5/27
Explanation: there are 6 distinct categories..
Since each category has to have at least 2 products..
let A have 2 and each thereafter has ONE more than previous..
so A,B,C,D,E, and F will have minimum 2+3+4+5+6+7 = 7*8/2 -1 = 28-1 =27..
therefore ONLY possibility of products in each due to restriction of TOTAL as 27 is 2,3,4,5,6,7 so D will have 5 products..
Probability = 5/27
ANSWER:C
Question: A family with 1 mother, 1 father, and 2 children sit in a car with 2 front seats and 2 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other one children on either side of him, how many seating arrangements are possible?
A. 3
B. 4
C. 6
D. 8
Answer: C. 6
Explanation: Mother has a fixed place and father, so there are 3*2 ways to arrange the children, hence C
Question: If log 27 = 1.491, then the value of log 9 is:
A.0.934
B.0.994
C.0.954
D.0.958
Answer: B.0.994
Explanation: log 27 = 1.491
log (33 ) = 1.491
3 log 3 = 1.491
log 3 = 0.497
log 9 = log(32 ) = 2 log 3 = (2 x 0.497) = 0.994.
Answer: Option B
Question: A number when divided b the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is:
A.1220
B.1250
C.2030
D.22030
Answer: D.22030
Explanation: Required number = (555+445)*2*110+30
= 220000+30
= 220030.
ANSWER:D
Question: At the opening of a trading day at a certain stock exchange, the price per share of stock K was $8. If the price per share of stock K was $9 at the closing of the day, what was the percent increase in the price per share of stock K for that day?
A.1.4%
B.5.9%
C.11.1%
D.12.5%
Answer: D.12.5%
Explanation: Opening = 8
Closing = 9
Rise in price = 1
So, percent increase = 18∗10018∗100 =>12.50%
Thus answer will be (D)
Question: Andrew purchased 6kg of grapes at the rate of 74 per kg and 9 kg of mangoes at the rate of 59 per kg. How much amount did he pay to the shopkeeper?
A.1000
B.975
C.980
D.1020
Answer: B.975
Explanation: Cost of 6 kg grapes = 74 × 6 = 444.
Cost of 9 kg of mangoes = 59 × 9 = 531.
Total cost he has to pay = 444 + 531 = 975
B
Question: A beaker contains 180 liters of alcohol. On 1st day, 60 l of alcohol is taken out and replaced by water. 2nd day, 60 l of mixture iss taken out and replaced by water and the process continues day after day. What will be the quantity of alcohol in beaker after 3 days
A.53.3
B.53.8
C.53.7
D.53.5
Answer: A.53.3
Explanation: Use the formula,
Final Alcohol = Initial Alcohol ×(1−ReplacementquantityFinalVolume)n×(1−ReplacementquantityFinalVolume)n
Final Alcohol = 180(1−60180)3180(1−60180)3 = 180×(23)3=53.3
Ans: A
Question: If z is a multiple of 8778, what is the remainder when z^2 is divided by 9?
A.0
B.2
C.4
D.6
Answer: A.0
Explanation: The sum of the digits is 8+7+7+8=30.
Thus 3 is a factor of 8778, so 3 is a factor of z.
Then 3^3 = 9 is a factor of z^2.
Then the remainder when z^2 is divided by 9 is 0.
The answer is A.