RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: How many multiples of 2 are less than 2400, and also multiples of 8?
A.104
B.208
C.300
D.832
Answer: C.300
Explanation: The LCM of 2 and 8 is 8. Divide 2400/8 = 300.xxx. So C is your answer.
Question: How many positive integers less than 22 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3?
A.17
B.13
C.12
D.11
Answer: A.17
Explanation: The number = 2a + 3b < 20
When a = 1, b = 1, 2, 3, 4, 5, 6 -> 2a = 2; 3b = 3, 6, 9, 12, 15, 18 -> the number = 5, 8, 11, 14, 17, 20 --> 6 numbers
when a =2, b = 1,2,3,4,5, 6 -> ....--> 6 numbers
when a =3, b = 1,2,3,4, 5 --> ....--> 5 numbers
Total number is already 17. Look at the answer there is no number greater than 17 --> we dont need to try any more
Answer must be A
Question: What will be the difference between simple and compound interest at 10% per annum on a sum of Rs. 1000 after 4 years?
A.Rs.64.17
B.Rs.64.22
C.Rs.64.12
D.Rs.64.10
Answer: D.Rs.64.10
Explanation: S.I. = (1000 * 10 * 4)/100 = Rs. 400
C.I. = [1000 * (1 + 10/100)4 - 1000]
= Rs. 464.10 Difference = (464.10 - 400)
= Rs. 64.10
Answer:D
Question: The number of arrangements that can be made with the letters of the word MEADOWS so that the starting word is W and 3rd word is O?
A.A)2!
B.B)4!
C.C)1!
D.D)5!
Answer: D.D)5!
Explanation: required word is - W _ O _ _ _ _
the remaining 5 places can be filled by 5!
D
Question: There are 9 person among whom 2 are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
A.4!*2!
B.7!*2!
C.6!*2!
D.2!*1!
Answer: C.6!*2!
Explanation: Total number of ways = 6!*2!.
C
Question: The salaries of A, B and C are of ratio 2:3:5. If the increments of 15%, 10% and 20% are done to their respective salaries, then find the new ratio of their salaries.
A.20:33:60
B.21:33:60
C.22:33:60
D.23:33:60
Answer: D.23:33:60
Explanation: Explanation:
Let A salary be 2k
B salary be 3k and C salary be 5k
A's new salary = 115/100∗2k
=2310k
B's new salary = 110/100∗3k
=3310k
C's new salary = 120/100∗5k
=6k
New ratio = 23k/10:33k/10:6k=23:33:60
ANSWER IS D
Question: Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 18000, then find his savings?
A.3600
B.3629
C.3619
D.3611
Answer: A.3600
Explanation: Let the income and the expenditure of the person be Rs. 5x and Rs. 4x respectively.
Income, 5x = 18000 => x = 3600
Savings = Income - expenditure = 5x - 4x = x
So, savings = Rs. 3600.
Answer:A
Question: A can do a certain work in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same job ?
A.19
B.15
C.16
D.17
Answer: B.15
Explanation: Ratio of time taken by A & B = 160:100 = 8:5 Suppose B alone takes x days to do the job. Then, 8:5::12:x = > 8x = 5*12 = > x = 15 days.
Question: The number 150 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
A. 17
B. 18
C. 15
D. 14
Answer: B. 18
Explanation: 10^2 + 7^2 + 1^2 = 150 = = => sum of these 3 integers = 10 + 7 + 1 = 18
B
Question: If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 ?
A.-1
B.0
C.1
D.2
Answer: C.1
Explanation: Answer
x = 1 + √2
∴ x4 - 4x3 + 4x2 = x2(x2 - 4x + 4)
= x2(x - 2)2
= (1 + √2)2(1 + √2 - 2)2
=(√2 + 1)2 (√2 - 1)2
=[(√2)2 - (1)2]2
=(2 - 1)2 =1
Correct Option: C
Question: Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
A.2
B.6
C.8
D.3
Answer: D.3
Explanation: Explanation:
9261 = 8000(21/20)N
(21/20)3 = (21/20)N => N = 3
Answer:D
Question: Alex deposited x dollars into a new account that earned 6 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ?
A.w/(1+1.08)
B.w/(1.08+1.16)
C.w/(1.16+1.24)
D.w/(1.06+1.06^2)
Answer: D.w/(1.06+1.06^2)
Explanation: Account at the end of the first year would be 1.06x dollars. At this time x dollars was deposited, hence the account at the beginning of the second year would be (1.06x+x) dollars. Account at the end of the second year would be (1.06x+x)*1.06=w --> x(1.06^2+1.06)=w --> x=w/(1.06+1.06^2).
Answer: D.
Question: A metal company's old machine makes bolts at a constant rate of 100 bolts per hour. The company's new machine makes bolts at a constant rate of 150 bolts per hour. If both machines start at the same time and continue making bolts simultaneously, how many minutes will it take the two machines to make a total of 400 bolts?
A. 36
B. 72
C. 96
D. 144
Answer: C. 96
Explanation: Old Machine
100 bolts in 60 mins
so,
5/3 bolts in 1 min
New Machine
150 bolts in 60 mins
so,
5/2 bolts in 1 min
together,
5/3 + 5/2 =
25/6 bolts in 1 min
so, for 400 bolts
400 * 6 / 25 = 96 mins
Ans C
Question: If T = 5/9 * (K - 32), and if T = 20, then what is the value of K?
A.68
B.70
C.72
D.74
Answer: A.68
Explanation: K-32=9T/5
K=9T/5 + 32
K=9(20)/5 + 32 = 68
The answer is A.
Question: If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/16, then the reciprocal of n must be
A.Less than -4
B.Between -1 and -1/4
C.Between -1/4 and 0
D.Between 0 and 1/4
Answer: A.Less than -4
Explanation: n^2 < 1/16
abs(n) < 1/4
Since n<0, then 0 > n > -1/4
1/n < -4
The answer is A.
Question: A certain company employs 8 senior officers and 4 junior officers. If a committee is to be created, that is made up of 3 senior officers and 1 junior officer, how many different committee are possible?
A.8
B.24
C.58
D.224
Answer: D.224
Explanation: Number of ways to select 3 senior officers from 8 of them = 8C3 = 56 ways
Next we can determine the number of ways to select 1 junior officer.
number of ways to select 1 junior officer from 4 of them = 4C1 = 4 ways
Thus the number of ways to select 3 senior officers and 1 junior officer is 56 x 4 = 224 ways.
Answer: D
Question: Find the middle 1 when The sum of three consecutive even numbers is 36?
A.10
B.12
C.14
D.16
Answer: B.12
Explanation: 3 consecutive numbers can be a - 1, a, a + 1
So sum of numbers = 3a = 36.
Hence a = 12.
B
Question: A machine, working at a constant rate, manufactures 40 pencils in 30 minutes. How many pencils does it make in 1 hr 30 min?
A.120
B.125
C.110
D.115
Answer: A.120
Explanation: Change 1 hr 30 min to 90 min. For this, we need to set up a simple proportion of pensils per time
40/30 = S/90
The absolutely worst thing you could do at this point in the problem is to cross-multiply. That would be a supremely unstrategic move. Instead, cancel before you multiply. For what we can and can’t cancel in a proportion, seethis post. We can cancel the factor of 10 in the 40 and 30.
4/3 = S/90
We can cancel the common factor of 3 in the two denominators.
4/1 = S/30.
Now that the fraction is entirely simplified, we can cross-multiply.
S = 4*30 = 120
The machine would be 120 pencils in 1 hr 30 min.
Answer: A
Question: The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is?
A.229
B.277
C.378
D.480
Answer: D.480
Explanation: 262 – 102 = 242
d1 = 20 d2 = 48
1/2 * 20 * 48 = 480
Answer:D
Question: Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open due to a leakage, it took 30 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank?
A.5 hrs
B.8 hrs
C.9 hrs
D.36 hrs
Answer: D.36 hrs
Explanation: Sol.
Part filled by ( A + B ) in 1 hour = [1/5 + 1/20] = 1/4.
So, A and B together can fill the tank in 4 hours.
Work done by the leak in 1 hour = (1/4 - 2/9) = 1/36.
∴ Leak will empty the tank in 36 hrs.
Answer D
Question: What number should replace the question mark?
105, 87, 70, 52, ?
A.49
B.35
C.70
D.55
Answer: B.35
Explanation: B
35
The sequence progresses -18, -17, -18, -17.
Question: If a van moving at the speed of x km/hr travels a distance of y km, which of the following cannot be equal to the distance traveled?
A.x-y km
B.y-x km
C.(x-y)/2 km
D.y/x km
Answer: B.y-x km
Explanation: This question can be solved by TESTing VALUES, but there's a particular pattern that you have to recognize to make the workeasy.
We're not really limited by anything in this question, so X and Y can be anything. Under normal circumstances, I won't TEST the number 1 in PS questions (as it often leads to duplicate answers), but here it's a great option (since we're looking to eliminate 4 answers, multiple TESTs are going to be likely anyway).
We're given information on speed (X km/hour) and distance (Y km). We're asked which of the 5 answer choices CANNOT be the distance traveled.
IF....
X = 2 and Y = 1
Answers A (2-1 = 1) and E (2/2 = 1) are POSSIBLE. Eliminate A and E.
IF....
X = 3 and Y = 1
Answer C ([3-1]/2 = 1) is POSSIBLE. Eliminate C.
IF....
X = 1 and Y = 1
Answer D (1/1 = 1) is POSSIBLE. Eliminate D.
Final Answer:
B
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 36 kmph. For how many minutes does the bus stop per hour?
A.20 min
B.8 min
C.9 min
D.10 min
Answer: A.20 min
Explanation: Due to stoppages, it covers 18 km less.
Time taken to cover 18 km =(18/54)x60 = 20 min
answer : A
Question: For any integer k > 1, the term “length of an integer” refers to the number of positive prime factors, not necessarily distinct, whose product is equal to k. For example, if k = 24, the length of k is equal to 4, since 24 = 2 × 2 × 2 × 3. If x and y are positive integers such that x > 1, y > 1, and x + 3y < 960, what is the maximum possible sum of the length of x and the length of y?
A.10
B.16
C.12
D.14
Answer: B.16
Explanation: we know that : x > 1, y > 1, and x + 3y < 960,
and it is given that length means no of factors.
for any value of x and y, the max no of factors can be obtained only if factor is smallest no all factors are equal.
hence, lets start with smallest no 2.
2^1 =2
2^2 =4
2^3=8
2^4=16
2^5=32
2^6=64
2^7=128
2^8=256
2^9=512
2^10 =1024 (it exceeds 960, so, x can't be 2^10)
so, max value that X can take is 2^9 , for which has length of integer is 9.
now, since x =512 ,x+3y<960
so, 3y<448
==> y<448/3
so, y can take any value which is less than 448/3. and to get the maximum no of factors of smallest integer, we can say y=2^7
for 2^7 has length of integer is 7.
SO, combined together : 9+7 = 16.
B
Question: Mike needs 30% to pass. If he scored 212 marks and falls short by 19 marks, what was the maximum marks he could have got?
A.543
B.677
C.770
D.867
Answer: C.770
Explanation: If Mike had scored 19 marks more, he could have scored 30%
Therefore, Mike required 212 + 19 = 231 marks
Let the maximum marks be m.
Then 30 % of m = 231
(30/100) × m = 231
m = (231 × 100)/30
m = 23100/30
m = 770
Answer:C
Question: Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
A.4
B.29
C.8
D.2
Answer: B.29
Explanation: 1250 = D(100/4)2
D = 2.Answer: B
Question: In a business school case competition, the top three teams receive cash prizes of $5,000, $3,000, and $2,000, respectively, while the remaining teams are not ranked and do not receive any prizes. There are 6 participating teams, named Team A, Team B, Team C, Team D, Team E, and Team F. If Team A wins one of the prizes, Team B will also win one of the prizes. How many outcomes S of the competition are possible?
A.18
B.20
C.54
D.84
Answer: D.84
Explanation: the ways the three teams can be selected is..
i) A is selected, B is also selected, third can be any of the remaining 4.. so total ways 4.. they can be arranged in 4*3!=24 ways..
ii) A is not selected. threee teams can be selected from remaining 5 so total arrangements =5C3*3!=60
total S=84 outcomes
D
Question: Tim and Élan are 180 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Élan?
A.130 miles.
B.135 miles.
C.145 miles.
D.120 miles.
Answer: D.120 miles.
Explanation: Tim and Elan will meet at the same time while their ratio of speed is 2:1 respectively.So their individual distance traveled ratio will be same.
Plugging in the answer choice Only Answer Choice D meet the 2:1(Tim:Elan=120:60) ratio of maintaining total distance traveled 180 miles
SoCorrect answer D
Question: A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
A.33
B.77
C.48
D.99
Answer: C.48
Explanation: Speed on return trip = 150% of 40 = 60 km/hr.
Average speed = (2 * 40 * 60)/(40 + 60) = 48 km/hr.
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 8 seconds. What is the length of the fast train?
A.23 m
B.44 (4/9)m
C.27 (7/9)m
D.29 m
Answer: B.44 (4/9)m
Explanation: Relative speed = (40 - 20) km/hr =	(20 x(5/18))m/sec =	(50/9)m/sec.
Therefore Length of faster train =	((50/9)	x 8) m =	(400/9)m = 44	(4/9)	m.
B
Question: If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b?
A.2,3
B.1/2,3
C.3,5
D.7,9
Answer: B.1/2,3
Explanation: Explanation:
Let the roots of the equation 2a and 3a respectively.
2a + 3a = 5a = -(- 5/2) = 5/2 => a = 1/2
Product of the roots: 6a2 = b/2 => b = 12a2
a = 1/2, b = 3.
Answer B
Question: A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?
A.15
B.30
C.36
D.45
Answer: D.45
Explanation: no of women be A
no of men be B
in city X -> A=B/2-----(1)
in city Y -> A+5=B-10
B-A=15
from 1 B=2A sub in above equation
2A-A=15
A=15 means B=30
in the beginning no of passengers entered the bus is A+B=30+15=45
ANSWER:D
Question: If a and b are the roots of the equation x2 - 9x + 20 = 0, find the value of a2 + b2 + ab?
A.-21
B.1
C.61
D.21
Answer: C.61
Explanation: a2 + b2 + ab = a2 + b2 + 2ab - ab
i.e., (a + b)2 - ab
from x2 - 9x + 20 = 0, we have
a + b = 9 and ab = 20. Hence the value of required expression (9)2 - 20 = 61.
ANSWER:C
Question: 100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit
A.100/7
B.100/9
C.100/2
D.100/6
Answer: A.100/7
Explanation: Explanation:
C.P. of 100 orange=350
S.P. of 12 is 48 i.e, 4 of each now of 100 will be 400
So profit = 400 – 350 = 50
profit = profit×100%cpprofit×100%cp i.e 100/7% gain
Answer:A
Question: The average weight of 10 men is increased by 2 ½ kg when one of the men who weighs 68 kg is replaced by a new man. What is the weight of the new man?
A. 80 kg
B. 93 kg
C. 70 kg
D. 75 kg
Answer: B. 93 kg
Explanation: Since the average has increased by 1.5 kg, the weight of the man who stepped in must be equal to 68+10x2.5
68+25=93 Kg
Ans: 'B'
Question: A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train ?
A.79.0
B.79:9
C.79.1
D.79.2
Answer: D.79.2
Explanation: Let the length of the train be x metres and its speed by y m/sec.
Then,
Now,
8y + 264 = 20y
y = 22.
Speed = 22 m/sec =km/hr = 79.2 km/hr.
Answer: D) 79.2 km/hr
Question: A cicketer bas a certain average for 10 innings, In the eleventh inning, he scorod 118 runs, thereby increasing his average by 6 runs. His new average is
A.58 runs
B.28 runs
C.48 runs
D.42 runs
Answer: A.58 runs
Explanation: Explanation:
Let average for 10 innings be x. Then,
(10x + 118)/11 = x + 6 => 11x + 66 = 10x + 118 => x = 52.
New average = (x + 6) = 58 runs.
Answer: A
Question: When a certain number 'x' is multiplied bt 18, the product 'y' has all digits as 4s. what is the minimum number of digits 'x' can have?
A.8
B.9
C.12
D.14
Answer: B.9
Explanation: 18=9*2
444......4/9*2 = 22222....2/9
to be completely divisible sum of all 2's should be a multiple of 9(divisibility test for 9)
so it should have 9 digit (2+2+2+2+2+2+2+2+2=18)
ANSWER:B
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
A.1.6
B.1.2
C.1.7
D.1.5
Answer: D.1.5
Explanation: M = 4.5
S = x
DS = 4.5 + x
US = 4.5 + x
4.5 + x = (4.5 - x)2
4.5 + x = 9 -2x
3x = 4.5
x =1.5
Answer:D
Question: How many ways are there to award a gold, silver and bronze medal to 10 contending teams?
A.10 × 9 × 8
B.10!/(3!7!)
C.10!/3!
D.360
Answer: A.10 × 9 × 8
Explanation: we clearly know that there can be only one winning team which deserves the gold medal. we can do the selection in 10 ways
if gold medal is given to 1 of the teams then only possible 9 teams can be considered for silver medal. we can do selection in 9 ways
similarly if gold and silver medals are awarded then only remaining 8 teams can be considered for a bronze medal. we can do the selection in 8 ways
Total number of ways to select the 3 possible medal winners = 10 * 9 * 8
Correct answer - A
Question: Money invested at x%, compounded annually, triples in value in approximately every 112/x years. If $2000 is invested at a rate of 8%, compounded annually, what will be its approximate worth in 28 years?
A.$3,750
B.$5,600
C.$8,100
D.$18,000
Answer: D.$18,000
Explanation: x=8%
112/x years=112/8=14 years
Now, money triples every 14 years
Therefore, in 14 yrs , if $2000 triples to $6000, in 28 years, it will again triple to $6000*3=$18,000
Answer D
Question: A train speeds past a pole in 15 sec and a platform 130 m long in 25 sec, its length is?
A.50 m
B.150 m
C.195 m
D.300 m
Answer: C.195 m
Explanation: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 15 => y = x/15
(x + 130)/25 = x/15 => x = 195 m.
ANSWER:C
Question: If E is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of E?
A.10
B.12
C.14
D.16
Answer: C.14
Explanation: E = 30!
8
E = 30 x 29 x 28 x 27 x 26 x 25 x 24 x 24 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 09 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
Out of these 30 , 27 , 24 , 21 , 18, 15 , 12 , 09 , 06 , 3 are factors of 3
3 x 10 , 3 x 3 x 3 , 3 x 8 , 3 x 3 x 2, 3 x 5 , 3 x 4 , 3 x 3 x 3 , 3 x 2 , 3
So we have a total of 14 three's ...
Therefore the maximum value of K can be 14 (C)
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is :
A.8400
B.2288
C.7767
D.2998
Answer: A.8400
Explanation: Explanation:
Ratio of their shares = 22500 : 35000 = 9 : 14.
Deepak's share = Rs. (13800 * 14/23) = Rs. 8400.
Answer: A) 8400
Question: A can do a work in 25days and B can do the same work in 20days. They work together for 5days and then A goes away. In how many days will B finish the work?
A.9/15days
B.11/20days
C.13/17days
D.7/15days
Answer: B.11/20days
Explanation: A+B can do the work in 5days = 5( 1/25 + 1/20) = 5*45 / 25*20 = 9/20
Rest of the work = 1 - 9/20 = 11/20
B will do the rest of the work in = 1 - 9/20 = 11/20days
Answer is B
Question: If 6 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?
A.6 × 5 × 4 × 3 × 2 × 1
B.6 × 5 × 4 × 3 × 2 × 1
C.6 x 5
D.15
Answer: D.15
Explanation: 1st person will have 5 handshakes, 2nd will have 4, ....5th will have 1 and 6th will have 0
= 5+4+3+2+1 = 15
if we generalize this: if there are n people then there will be n(n-1)/2 handshakes.
Ans.D)
Question: Cara picked a number of pears, each of which she sold, canned, or poached. If she canned 40 percent more than she poached, and she poached 80 percent less than she sold. If there were a total of 111 pears, then how many pears did she sell?
A.69
B.72
C.75
D.78
Answer: C.75
Explanation: Let x be the amount of pears that she sold.
Then she poached 0.2x.
Then she canned 1.4*0.2x=0.28x.
The total amount of pears is x+0.2x+0.28x=1.48x
The fraction of pears that she sold is 1/1.48=100/148=25/37.
The number of pears she sold is (25/37)*111=75.
The answer is C.
Question: A Harsco's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Harsco's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Harsco's to travel 850 kilometers?
A.1 hour and 24 minutes.
B.1 hour and 36 minutes.
C.2 hours and 24 minutes.
D.2 hours and 36 minutes.
Answer: B.1 hour and 36 minutes.
Explanation: Difference in time = time taken by passenger train- time taken by Harsco's train
850/(250*68) *100 - 850/250
850 (100/ 250*68 - 1/250)
850*32/ (250*68)
1.6 hrs or 1 hr and 36 mins
B is the answer
Question: A multiple choice question has 5 options. Choosing the correct option earns the student 1 marks. However choosing the wrong option incurs negative marks so that if a student chooses an option randomly, his expected score is 0. Suppose a student has successfully eliminated 2 incorrect options. His expected score if he chooses randomly among the remaining options is.
A.1/2
B.1/3
C.1/4
D.2/3
Answer: A.1/2
Explanation: for right ans 1 no is given and for wrong -.25
so 1(1)+4(-.25)=0
now
1(1)+2(-.25)=.5=1/2.
ANSWER:A
Question: The number of female students in a college in the previous year was 400. If in the current year the number of male students in the college doubled over that of the previous year but the proportion of male students halved, then what is the number of female students in the college in the current year?
A.200
B.600
C.900
D.1600
Answer: D.1600
Explanation: Let x be the number of male students last year. The number of male students this year is 2x.
Let y be the number of female students this year.
x/400 = 2(2x/y)
y = 1600
The answer is D.
Question: If in coded language
2+6+7=24
8+2+8=73
3+4+4=40
Then
7+3+9=??
A.29
B.30
C.31
D.32
Answer: D.32
Explanation: As we have
(2+6+7)+9=24
(3+4+4)+29=40
(8+2+8)+55=73
similarly
(7+3+9)+87=106
Now Consider no.
9 then 29 then 55 then 87
Its series of difference 29 and 9 as 5×4+0=20
Then 55 and 29 as 5×5+1=26
Then 87 and 55 as 5×6+2=32
ANSWER:D
Question: When positive integer N is divided by positive integer J, the remainder is 16. If N/J = 204.04, what is value of J?
A.100
B.120
C.400
D.260
Answer: C.400
Explanation: When a number is divided by another number, we can represent it as : Dividend = Quotient * Divisor + Remainder
So, Dividend/Divisor = Quotient + Remainder/Divisor
Given that N/J = 204.04
Here 204 is the quotient.
Given that Remainder = 16
So, 204.04= 204 + 16/J
So, J = 400
Answer: C
Question: A cylinder with 6 meter radius and 12 meter height is filled to capacity with water. If the content of the cylinder is used to fill several smaller cylinders of 4 meter diameter and 8 meter height, how many smaller cylinders will be filled to capacity?
A.13
B.12
C.4
D.16
Answer: A.13
Explanation: Calculate the volume of the larger cylinder and divide it by the volume of the smaller cylinder.
volume of cylinder =πr2h
larger cylinder volume=1357.17
smaller cylinder volume=100.53
therefore the number of cylinders B that can be filled to capacity=1357.17/100.53=13.5
Answer is A only 13 smaller cylinders can be filled to capacity.
Question: If a car went the first third of the distance at 80 kmh, the second third at 15 kmh, and the last third at 48 kmh, what was the average speed of the car for the entire trip?
A.30 kmh
B.40 kmh
C.42 kmh
D.44 kmh
Answer: A.30 kmh
Explanation: Assume D/3 = 240 (this number is convenient because it is divisible by 80, 15 and 48)
So:
240 = 80*T1 = 3 hrs
240 = 15*T2 = 16 hrs
240 = 48*T3 = 5 hrs
T = T1 + T2 + T3 = 24 hrs
D = RT
(240*3) = R*24
R = 30
ANSWER: A