RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Mrs. Evans gave a test to her freshmen economics class, which has 30 students enrolled and 25 of them answered question 1 correctly. If 22 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly?
A.30
B.28
C.26
D.22
Answer: D.22
Explanation: Total number of enrolled students = 30
Number of students who did not take test = 5
Hence, number of students who took test = 30 - 5 = 25
Number of students who answered Q2 correctly =22, therefore, all students who took test answered Q2 correctly.
So, number of students who answered Q1 correctly, also answered Q2 correctly = 22.
Number of students who answered both Q1 & Q2 correctly = 22.
ANSWER:D
Question: A person borrows Rs.5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6% p.a for 2 years. Find his gain in the transaction per year.
A.100
B.150
C.225
D.112.5
Answer: A.100
Explanation: Explanation :
The person borrows Rs. 5000 for 2 years at 4% p.a. simple interest
Simple interest that he needs to pay = PRT/100=5000×4×2/100=400
He also lends it at 6 % p.a for 2 years
Simple interest that he gets = PRT/100=5000×6×2/100=600
His overall gain in 2 years = Rs.600 - Rs.400 = Rs.200
His overall gain in 1 year = 200/2 = Rs.100
Answer : Option A
Question: A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 75% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?
A.1000
B.1250
C.1733.33
D.1800
Answer: C.1733.33
Explanation: 300 gallons of water increases capacity by 30% that means
30% is 300 gallons, so 100% would be = 300*100/30= 1000 gallons
Now 1000 +300 gallons is 75% capacity of tank.
so 100% capacity would be= 1300 *100/75= 1733.33
C is the answer
Question: There is an increase of 30% in the production of milk chocolates in Amul Dairy in one month. If now it is 10,400 milk chocolates per month, what was it one month ago?
A.10,000 chocolates
B.9000 chocolates
C.8000 chocolates
D.7000 chocolates
Answer: C.8000 chocolates
Explanation: Let one month ago, production be x chocolates.
Then, 130 % of x = 10400
⇒ x = 10400×100/130=8000 chocolates
Answer C
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 2 sec. What is the length of the fast train?
A.11 1/9 m
B.11 7/4 m
C.11 7/2 m
D.11 7/9 m
Answer: A.11 1/9 m
Explanation: Relative speed = (40 - 20) = 20 km/hr.
= 20 * 5/ 18 = 50/9 m/sec.
Length of faster train = 50/9 * 2 = 100/9 = 11 1/9 m.Answer:A
Question: A train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 40 seconds. What is the length of the train in meters?
A.400 meters
B.1111 meters
C.1777 meters
D.1822 meters
Answer: A.400 meters
Explanation: Relative speed of the train with respect to the motorbike should be the speed with which the length of the train is covered in 40 secs.
Calculate the relative speed => 100 - 64 = 36 kmph and time is 40 sec = 40/3600 hrs
Distance (in this case the length of the train ) = S*T = 36*40/3600
.4 km or 400meters.
So Answer (A)
Question: In measuring the sides of a rectangle, one side is taken 12% in excess and other 5% in deficit. Find the error percentage in the area calculated from these measurements.
A.3.5%
B.6.4%
C.3%
D.5%
Answer: B.6.4%
Explanation: Say both sides of the rectangle are equal to 100 (so consider that we have a square). In this case the area is 100*100=10,000.
Now, the area obtained with wrong measurements would be 112*95=10,640, which is 6.4% greater than the actual area.
Answer: B.
Question: What Is The Next Number
12 13 15 17 111 113 117 119 123 129 131?
A.137
B.220
C.129
D.428
Answer: A.137
Explanation: 137
These are the first 10 prime numbers (2, 3, 5...) prefixed with a 1
Answer A
Question: Operation#is defined as adding a randomly selected two digit multiple of 4 to a randomly selected two digit prime number and reducing the result by half. If operation#is repeated 10 times, what is the probability that it will yield at least two integers?
A.0%
B.10%
C.20%
D.30%
Answer: A.0%
Explanation: Any multiple of 4 is even.
Any two-digit prime number is odd.
(even+odd)/2 is not an integer. Thus # does not yield an integer at all.
Therefore P=0.
Answer: A.
Question: A theater box office sold an average (arithmetic mean) of 64 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 80, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members?
A.1:2
B.1:4
C.3:7
D.7:12
Answer: B.1:4
Explanation: Deviation from the mean for the daytime staff = 80 - 64 = 16.
Deviation from the mean for the evening staff = 64 - 60 = 4.
Thus, the ratio of the number of daytime staff members to the number of evening staff members is 4:16 = 1:4.
The answer is B.
Question: The area of a parallelogram is 288sq m and its altitude is twice the corresponding base. Then the length of the base is?
A.12
B.9
C.7
D.6
Answer: A.12
Explanation: 2x * x = 288 => x= 12
Answer: A
Question: The difference between the compound interest and simple interest on a certain sum at 20% per annum for 2years is $500. Find the sum?
A.$10000
B.$50000
C.$15200
D.$12500
Answer: A.$10000
Explanation: Let the sum be $x
C.I. = x(1+20/100)^2 - x = 35x/100
S.I. = (X*20*2)/100 = 2x/5
C.I.- S.I. = (35x/100)-(2x/5) = 5x/100
5x/100 = 500
x = 10000
Answer is A
Question: 5 is added to a certain number, the sum is multiplied by 5, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 60. What is the number?
A.21
B.20
C.2
D.30
Answer: C.2
Explanation: Let number is X.
When 5 added to it,
= (X+5)
5 multiplied to sum,
= 5 *(X +5)
Now,
= [{5 *(X +5)} /5]
And,
= [{5 *(X +5)} /5] - 5
According to question,
[{5 *(X +5)} /5] - 5 = half of 60
[(5X + 25) /5) = 30 +5
5X + 25 = 35 *5
X + 5 = 7 *1
X + 5 = 7
X = 7 - 5
X = 2
So, required number is: 2.
ANSWER : C
Question: There are 6 people at a party sitting at a round table with 6 seats: A, B, C, D, E and F. A CANNOT sit next to either D or F. How many ways can the 6 people be seated?
A.720
B.120
C.108
D.84
Answer: C.108
Explanation: A,B,C,D,E and F can sit in (6-1)! ways -- 120
Now consider this, when we take AD as one person all of them can sit in AD, B, C, D ,E --> (5-1)! --> 24
now, this calculation considers clockwise and anti clockwise as different, i.e AD is different from DA. Therefore we have to divide this figure by 2, because We do not want to distinguish between AD and DA.
Hence there are 12 cases when AD sit to each other ( irrespective of AD or DA )
Similarly, there are 12 cases when AF sit to each other.
Similarly, we can say ADF can also be clockwise and anticlockwise, but we have to realize that, when counting AD and AF we have counted DAF or FAD TWICE ( once for each ) therefore we need to deduct the arrangement for DAF only once.
If DAF were 1 person, possible number of arrangements -- ADF,B,C,E --> 3!
We will not count it twice because we need to deduct this only once from AD and AF combination !
Therefore total count
5! - (4!/2 + 4!/2 -3!) = 120 - (12 + 12 -12 ) = 108
ANS:C
Question: On a test consisting of 30 questions. No. of wrong answers is 50% less than number of right answers. Each answer was either right or wrong. What is the ratio of right answers to wrong answers?
A.1 : 3
B.2 : 3
C.2 : 1
D.3 : 1
Answer: C.2 : 1
Explanation: Sol. Let the number of wrong answer - x and number of right answer = 30-x x = 50/100 of (30-x) x = 10
Required ratio = 20 : 10 = 2 : 1
C
Question: The lenght of a room is 5.5 m and width is 4 m. Find the cost of paving the floor by slabs at the rate of Rs. 700 per sq. metre.
A.s. 15,550
B.s. 15,400
C.s. 16,500
D.s. 17,600
Answer: B.s. 15,400
Explanation: Area of the floor = (5.5 Ã— 4) m2 = 22 m2.
Cost of paving = Rs. (800 Ã— 22) = Rs. 15400
Answer: Option B
Question: The probability that Alex will solve a problem is 1/5. What is the probability that he solves at least one problem out of 4 problems?
A.64/125
B.256/625
C.64/625
D.369/625
Answer: D.369/625
Explanation: The probability that Alex will not solve a problem = 4/5. The probability that Alex will not solve 10 problems = (4/5)4 = 256/625.
Hence, the probability that Alex will solve at least one problem
= 1 - 256/625 = 369/625.
ANSWER:D
Question: Ajay can ride 50km in 1 hour. In how many hours he can ride 750km?
A.10hrs
B.15hrs
C.20hrs
D.25hrs
Answer: B.15hrs
Explanation: 1 hour he ride 50km
he ride 750km in = 750/50 * 1 = 15hours
Answer is B
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 507 sq m, then what is the breadth of the rectangular plot?
A.16
B.17
C.13
D.19
Answer: C.13
Explanation: Let the breadth of the plot be b m.
Length of the plot = 3 b m
(3b)(b) = 507
3b2 = 507
b2 = 169
b = 13 m.
Answer: Option C
Question: Pujara has a certain average of runs for his 8 matches in Border Gavaskar Trophy. In the ninth match he scores 100 runs and thereby increases his average by 9 runs. His new average of runs is:
A.28
B.29
C.30
D.31
Answer: A.28
Explanation: let his average run in 8 matches be x
total runs for 8 matches = 8x
total runs for 9 matches = 8x+100
average runs for 9 matches = (8x+100)/9
(8x+100)/9 = x + 9
8x+100 = 9x + 81
x= 19
new average = 19+9 = 28
ANSWER:A
Question: A father said to his son, “I was as old as you are at present at the time of your birth”.If the father’s age is 38 years now,the son’s age five years back was :
A.14 years
B.19 years
C.33 years
D.38 years
Answer: B.19 years
Explanation: Solution
Let the son's present age be x years.Then,(38-x)=x ⇔ 2x = 38 ⇔ x = 19.
∴ Son's age 5 years back = (19 - 5) years =14 years. Answer B
Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
A.27
B.30
C.31
D.33
Answer: A.27
Explanation: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (126 - 99 ) = 27
A
Question: The annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years X in which the population would be doubled assuming there is no emigration or immigration is
A.20
B.X=25
C.X=30
D.X=35
Answer: D.X=35
Explanation: Suppose the population of the country in current year is 1000.
So annual increase is 1000 + 39.4 - 19.4=1020
Hence every year there is an increase of 2%.
2000= 1000(1+(2/100))^n
n=35 Answer is D.
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 5 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
A.15 a.m
B.8 a.m
C.12 a.m
D.02 a.m
Answer: B.8 a.m
Explanation: Suppose they meet x hours after 5 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 110
45x = 135
x = 3.
So, they meet at 8 a.m.
Answer:B
Question: If in a company the female employees is 80% of male employees. What is the percentage of male employees in terms of female employees?
A.125%
B.112%
C.60%
D.12%
Answer: A.125%
Explanation: The female employees is 80% of male employees
If male employees=10
female employees=8
We are asked to find the percentage of male employees in terms of female employees
M/F=10/8=10 1/8=1.25=125%
Answer is A
Question: Three integers are at random chosen between 0 and 9 inclusive. What is the probability R that each number is different ?
A.A.18/25
B.B.4/5
C.C.81/100
D.D.9/10
Answer: A.A.18/25
Explanation: Number of ways of choosing the 3 integers without restriction = 10 * 10 * 10
Number of ways of choosing the 3 integers so that the 3 integers are different = 10 * 9 * 8
Probability R= 10 * 9 * 8/10 * 10 * 10 = 72/100 = 18/25
Answer: A
Question: The number of timeshare condos available at Sunset Beach is 2/5 the number of timeshare condos available at Playa del Mar. If the total number of timeshare condos available at the two beaches combined is 210, what is the difference between the number of condos available at Sunset Beach and the number of condos available at Playa del Mar?
A.60
B.90
C.120
D.150
Answer: B.90
Explanation: Let x be the number of timeshare condos available at Playa del Mar.
Then number of timeshare condos available at Sunset Beach = 3/5x
We know, x + 2/5 x = 210
Hence, x = 150. So, number of timeshare condos available at Playa del Mar = 150
the difference between the number of condos available at Sunset Beach and the number of condos available at Playa del Mar = x - 2/5x = 2/5x = 3/5(150) = 90
The correct answer is B
Question: 3 men and 8 women complete a task in same time as 6 men and 2 women do. How much fraction of work will be finished in same time if 3 men and 2 women will do that task.
A.4/7
B.3/10
C.3/18
D.13/16
Answer: A.4/7
Explanation: 3 m + 8 w = 6 m + 2 w
3 m = 6 w
1 m = 2 w
Therefore 3 m + 8 w = 14 w
3 m + 2 w =8 w
Answer is 8/14 = 4/7
Answer: A
Question: Four barrels of water have an average capacity of 8 gallons. What is the maximum possible capacity of the smallest barrel H if the median is 10 gallons?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: Suppose 4 barrels are B1, B2, B3, B4 in ascending capacity.
(B1+B2+B3+B4)/4 = 8
B1+B2+B3+B4=32
median is 10 ....... as the no. of terms are even i.e 4, median = (B2+B3)/2
==> B2+B3 = 20
now we have B1+B4 = 32-20 =12
Only the following possible cases can be there :
1,9,11,11
1,10,10,11
2,10,10,10
Max value of smallest barrel H= 2
Question: Two employees M and N are paid a total of Rs. 550 per week by their employer. If M is paid 120 percent of the sum paid to N, how much is N paid per week?
A.Rs.200
B.Rs.230
C.Rs.250
D.Rs.300
Answer: C.Rs.250
Explanation: Let the amount paid to M per week = x
and the amount paid to N per week = y
Then x + y = 550
But x = 120% of y = 120y/100 = 12y/10
∴12y/10 + y = 550
⇒ y[12/10 + 1] = 550
⇒ 22y/10 = 550
⇒ 22y = 5500
⇒ y = 5500/22 = 500/2 = Rs.250
C)
Question: . A car covers a distance of 624 km in 6 ½ hours. Find its speed?
A.104
B.55
C.66
D.288
Answer: A.104
Explanation: 624/6 = 104 kmph
Answer: A
Question: Alfred buys an old scooter for $4700 and spends $800 on its repairs. If he sells the scooter for $5800, his gain percent is?
A.5.45%
B.6.23%
C.7%
D.8.12%
Answer: A.5.45%
Explanation: C.P. = 4700+800 = $5500
S.P. = $5800
Gain = 5800-5500 = $300
Gain% = 300/5500 * 100 = 5.45%
Answer is A
Question: Find the perimeter and area of the rectangle of length 15 cm and breadth 11 cm.
A.71 cm2
B.121 cm2
C.165 cm2
D.171 cm2
Answer: C.165 cm2
Explanation: length = 15 cm, breadth = 11 cm
Perimeter of rectangle = 2 (length + breadth)
= 2 (15 + 11) cm
= 2 × 26 cm
= 52 cm
We know that the area of rectangle = length × breadth
= (15 × 11) cm22
= 165 cm2
ANSWER : C
Question: The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
A.432
B.288
C.376
D.397
Answer: A.432
Explanation: 2(3x + x) = 96
l = 36 b = 12
lb = 36 * 12 = 432
Answer: A
Question: If 5 is 10 percent of 25 percent of a certain number, what is the number?
A.190
B.21
C.150
D.200
Answer: D.200
Explanation: Using elimination method to pick the correct option it will be discovered that option D i.e 200 is the correct option because 25% of 200 is 50 and 10% of 50 is 5.
ANSWER:D
Question: If the area of a square with sides of length 6 centimeters is equal to the area of a rectangle with a width of 4 centimeters, what is the length of the rectangle, in centimeters?
A.4
B.8
C.12
D.9
Answer: D.9
Explanation: Let length of rectangle = L
6^2 = L*4
=> L = 36/4 = 9
Answer D
Question: What is the remainder when 1250*1040*1057*1145 is divided by 32?
A.3
B.5
C.0
D.2
Answer: C.0
Explanation: OA is 'C'.
OE:
take the remainder from each of 1250/32, 1040/32 and so on..
1250/32 gives remainder = 2
1040/32 gives remainder = 16
1057/32 gives remainder = 1
1145/32 gives remainder = 25
the net remainder is the product of above individual remainders. i.e = 2*16*1*25
break them into pairs 2*16/32 gives remainder 0
and 1*25/32 gives remainder 25
so 0*25/32 gives remainder 0.
Answer: C
Question: 9 years ago I was five times as old as my eldest son. Today I am 3 times his age. How old am I now?
A.45
B.54
C.34
D.58
Answer: B.54
Explanation: x-9=5(y-9)
& x=3y
x-9=5x/3-45
x=54
ANSWER:B
Question: How many three-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 2 ?
A.8
B.0
C.6
D.10
Answer: B.0
Explanation: A number ending with 2 can never be a perfect square.
Answer: B
Question: A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km/hr, the time taken by it to cover the same distance will be?
A.13min 20sec
B.10min
C.11min 30sec
D.12min 15sec
Answer: A.13min 20sec
Explanation: Speed = 10*60/12 = 50 km/hr
new speed = 50-5 = 45 km/hr
time taken = 10/45 = 60*2/9 = 13 min 20 sec
Answer is A
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
A.121 m
B.128 m
C.125 m
D.120 m
Answer: D.120 m
Explanation: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.
Length of the train = 20 * 6 = 120 m.
Answer:D
Question: In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
A.6
B.7
C.8
D.9
Answer: C.8
Explanation: Speed in still water =	1	(11 + 5)/2 kmph = 8 kmph.
Answer:C
Question: The smallest value of n, for which 2n + 1 is not a prime number is
A.3
B.4
C.5
D.6
Answer: B.4
Explanation: Sol.
= (2 × 1 + 1) = 3,
= (2 × 3 + 1) = 7,
= (2 × 4 + 1) = 9, which is not prime.
Therefore n = 4.
Answer B
Question: Calculate how many men are needed to finish a specific task in 10 days if it will take 30 men to complete the same task in 60 days?
A.180
B.185
C.170
D.280
Answer: A.180
Explanation: men required to finish the work in 10 days = 30*60/10 = 180
Answer is A
Question: The C.I. on a certain sum for 2 years Rs.41 and the simple interest is Rs.40. What is the rate percent?
A.2%
B.5%
C.3%
D.4%
Answer: B.5%
Explanation: SI = 20 + 20
CI = 20 + 21
20 ---- 1
100 ---- ? => 5%
Answer: B
Question: If 5 men and 2 boys working together, can do three times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
A.9:2
B.5:2
C.1:2
D.1:4
Answer: C.1:2
Explanation: M + 2B = 3(1M + 1B)
5M + 2B = 3M + 3B
2M = 1B
The required ratio of work done by a man and a boy = 1:2
ANSWER:C
Question: The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
A.47.55 kg
B.48 kg
C.48.55 kg
D.49.25 kg
Answer: C.48.55 kg
Explanation: 16*50.25+8*45.15/24=48.55
ANSWER:C
Question: What is the least integer that is a sum of four different prime numbers each greater than 30?
A.148
B.150
C.152
D.154
Answer: C.152
Explanation: The sum of the four smallest primes greater than 30 is 31+37+41+43=152.
The answer is C.
Question: Here are 5 Rock songs, 6 Carnatic songs and 3 Indi pop songs. How many different albums can be formed using the above repertoire if the albums should contain at least 1 Rock song and 1 Carnatic song?
A.15624
B.1634
C.16144
D.240
Answer: A.15624
Explanation: There are 2n ways of choosing ‘n’ objects. For e.g. if n = 3, then the three objects can be chosen in the following 23 ways - 3C0 ways of choosing none of the three, 3C1 ways of choosing one out of the three, 3C2 ways of choosing two out of the three and 3C3 ways of choosing all three.
In the given problem, there are 5 Rock songs. We can choose them in 25 ways. However, as the problem states that the case where you do not choose a Rock song does not exist (at least one rock song has to be selected), it can be done in 25 - 1 = 32 - 1 = 31 ways.
Similarly, the 6 Carnatic songs, choosing at least one, can be selected in 26 - 1 = 64 - 1 = 63 ways.
And the 3 Indi pop can be selected in 23 = 8 ways. Here the option of not selecting even one Indi Pop is allowed.
Therefore, the total number of combinations = 31 * 63 * 8 = 15624
Option A
Question: A football coach must choose 5 freshers from a team of 12players. How many different ways can the coach choose the freshers?
A.500
B.650
C.729
D.800
Answer: C.729
Explanation: Choose 5 starters from a team of 12 players. Order is not important.
\inline {\color{Black} 12C_{5}}= 729
C
Question: The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is?
A.9! * ⁷P₆
B.6! * ⁷P₆
C.7! * ⁷P₆
D.6! * ⁷7₆
Answer: B.6! * ⁷P₆
Explanation: We can initially arrange the six boys in 6! ways.
Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways.
Hence required number of ways = 6! * ⁷P₆
Answer:B
Question: What is the smallest integer k for which 64^k > 4^17?
A.4
B.5
C.6
D.7
Answer: C.6
Explanation: 64^k > 4^17
4^(3k) > 4^17
3k > 17
k = 6
The answer is C.
Question: Three interviewers, X, Y, and Z are interviewing 40 applicants. Only with three interviewers' admission can an applicant be admitted. If interviewer X admitted 15 applicants, Y admitted 17 applicants, and Z admitted 20 applicants, at least how many applicants get the admission?
A. 0
B. 2
C. 6
D. 8
Answer: A. 0
Explanation: If X admitted 15 are overlapping with Y admission of 17 But Z does not overlap with anybody.
Then no student will get nod from all the 3.
Hence 0 student will get admission.
Answer : A
Question: Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A.19.7
B.20
C.23
D.25
Answer: A.19.7
Explanation: Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 30 Paise is given as tax
=> Total tax incurred = 30 Paise = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (25−30/100−x)6/100 = 30/100
⇒ 6(25 −0.3 −x) = 30
⇒ (25 − 0.3 − x) = 5
⇒ x = 25 − 0.3 − 5 = 19.7
A)
Question: A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
A.33 days
B.77 days
C.30 days
D.17 days
Answer: C.30 days
Explanation: C = 1/5 – 1/6 = 1/30 => 30 days
Answer:C
Question: How many prime numbers are between 29/4 and 87/5?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: 29/4 = 7.xxx
87/5 = 17.xxx
So we need to find Prime numbers between 7 (Exclusive) - 16 (Inclusive)
There are 2 Prime numbers 1113
Hence answer will be (B) 2
B
Question: If there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if the total number of wheels is 82?
A.11
B.12
C.13
D.20
Answer: D.20
Explanation: four wheeler=20*4=80(max)
2 wheel=1
so no of 4 wheeler=20
ANSWER:D
Question: If m is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2) must be a multiple of which one of the following is correct?
A.2
B.4
C.6
D.7
Answer: D.7
Explanation: (n+1)(n+3)(n+1)(n+3) is odd only when both (n+1)(n+1) and (n+3)(n+3) are odd. This is possible only when nn is even.
Hence, n=2mn=2m, where mm is a positive integer. Then,
(n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)(n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)
=4 * (product of two consecutive positive integers, one which must be even)=4 * (product of two consecutive positive integers, one which must be even) =4 * (an even number), and this equals a number that is at least a multiple of 8=4 * (an even number), and this equals a number that is at least a multiple of 8
Hence, the answer is (D).
Question: A train running at the speed of 48 km/hr crosses a pole in 9 seconds. What is the length of the train?
A.140
B.130
C.120
D.170
Answer: C.120
Explanation: Speed=(48x5/18)m/sec = (40/3) m/sec.
Length of the train = (Speed x Time).
Length of the train = (40/3 x 9)m = 120 m.
Answer is C.