divelab/Sys2Bench huggingface dataset:
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 5 Years?
Options:
A)5%
B)7%
C)9%
D)2%
E)4%
Rationale: 160 = (800*5*R)/100
R = 4%
Answer: E
Answer: E
Question: The difference of two numbers is 1415. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Options:
A)A)270
B)B)280
C)C)290
D)D)300
E)E)310
Rationale: Let the smaller number be x. Then larger number = (x + 1415).
x + 1415 = 6x + 15
5x = 1400
x = 280
Smaller number = 280.
B)
Answer: B
Question: A train traveled the first d miles of its journey it an average speed of 60 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. If the train’s average speed over the total distance was 94 miles per hour, what is the value of y?
Options:
A) 98
B) 84
C) 90
D) 120
E) 135
Rationale: Average speed=Total distance traveled /Total time taken
3d/d/60+d/y+d/160=94
Solving for d and y,
15y=11y+480
5y=480
y=98
Answer A
Answer: A
Question: Four faces of a fair die are Yellow, two faces red and one blue.The die is tossed three
times. The probability that the colours, yellow, red and blue appear in the first, second and
third tosses respectively is
Options:
A)1/36
B)1/18
C)1/32
D)1/27
E)None of these
Rationale: Probability of getting yellow color = P(Y) = 4/6 = 2/3
Probability of getting red color = P(R) = 2/6 = 1/3
Probability of getting blue color = P(B) = 1/6
So, the probability that the colors yellow, red and blue appear in first, second and third toss respectively= P(Y ∩ R ∩ B) = P(Y) x P(R) x P(B) = 2/3 x 1/3 x 1/6 = 1/27
ANSWER:D
Answer: D
Question: Country X imported approximately $1.44 billion of goods in 1996. If Country X imported $488 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year, by how much would Country Xs 1997 imports exceed those of 1996?
Options:
A) $1124 million
B) $1120 million
C) $1144 million
D) $1240 million
E) $1488 million
Rationale: Convert units to millions as answer is in millions
1996 Imports = $1.44 bill = $1440 mill
i.e. 1440/12 = $120 mill/month
1997 Imports = $488 mill/2 month
i.e. $244 mill/month
Difference/month = 244-120 = 124
Difference/year = $124 mill * 12 = $1488 mill
ANSWER: E
Answer: E
Question: A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?
Options:
A)6%
B)5%
C)3%
D)9%
E)2%
Rationale: 3 --- 1725
5 --- 1875
--------------
2 --- 150
N = 1 I = 75 R = ?
P = 1725 - 225 = 1500
75 = (1500*1*R)/100
R = 5%
Answer: B
Answer: B
Question: One pump drains one-half of a pond in 4 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
Options:
A)1 hour
B)1.1 hour
C)3 hours
D)5 hours
E)6 hours
Rationale: First pump drains 1/2 of the tank in 4 hours
so 8 hours it will take to drain the full tank.
Let, 2nd pump drains the full tank in a hours
so both together can drain (1/8+1/a) part in 1 hour
son in 1/2 hour they drain 1/2*(1/8+1/a) part of the tank
given that in 1/2 hour they drain 1/2 of the tank
hence we can say
1/2*(1/8+1/a) = 1/2
solving u get a = 8/7=1.1
Hence answer is B
Answer: B
Question: A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of t square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)
Options:
A)(5,280 mt) / 12 t
B)(5,280 pt) / 12m
C)(5,280 pmt) /12
D)(5,280)(12m) / pt
E)(5,280)(12p) / mt
Rationale: Given that: 1 gallon of paint covers an area oftsquare feet. Question:how many gallonsof paint will be needed ...
In any case you will have:(total area in square feet)/(gallons per feet)=(total area in square feet)/t, so t must be in the denominator: eliminate all but A and D.
Now, lets see where should be t: (area in square feet)=(width in feet)*(length in feet) --> width=tinchesas1 feet=12 inchesthent inches=t/12 feet, so (area in square feet)=(t/12) * (length in feet), so t must be in the nominator: only A is left.
Answer: A.
Answer: A
Question: 8^100 is divisible by 17. Find the remainder?
Options:
A)10
B)12
C)16
D)21
E)26
Rationale: This is an extremely difficult problem to solve with out Fermat's little theorem. By applying Fermat's little theorem , We know that 816 when divided by 17, the remainder is 1.
So divide 100 by 16 and find the remainder. Remainder = 4
Therefore, 100 = (16 × 6) + 4
Now this problem can be written as 810017 = 816×6+417 = (816)6×8417
Now this problem simply boils down to (1)6×8417 = 8417
84 = 82×82, we need to find the remainder when 64 × 64 is divisible by 17. Or 13 × 13 = 169. When 169 is divided by 17, remainder is 16.
C
Answer: C
Question: In the Biotechnology class of 2000, there were W graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is W equal to?
Options:
A)69.
B)71.
C)73.
D)75.
E)76.
Rationale: Total = 32 +45 -13 + 9 = 73 .... My first post on the forum... I hope I am correct
C is correct choice.
Answer: C
Question: On an order of 5 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of:
Options:
A)26 2/3%.
B)18 2/8%.
C)16 2/3%.
D)18 2/3%.
E)19 2/3%.
Rationale: Explanation:
Clearly, the retailer gets 1 dozen out of 6 dozens free.
Equivalent discount = 1/6 * 100 = 16 2/3%.
Answer: C
Answer: C
Question: The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical W present. If the concentration of chemical W is increased by 100 percent, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?
Options:
A)100% decrease
B)50% decrease
C)40% decrease
D)40% increase
E)50% increase
Rationale: Let A and W be the concentratrations of the individual chemicals.
Rate of chemical reaction = A^2/W
Since new B is increased by 100%
Rate = A^2/(2W)
For the rate to be constant, new value of A should be square root(2)
So new value of A = 1.414A
That means A is increased by 41.4%
Nearest solution is D
Answer: D
Question: If 2 cards are selected at random from the deck of 52 cards then What is the probability of one of the selected cards will be Jack and other will be Queen?
A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen and 1 jack in each suit
Options:
A)8/2652
B)1/2652
C)28/2652
D)6/2652
E)18/2652
Rationale: 2 possible cases:
Jack - Queen or Queen - Jack (4 Jacks and 4 queens).
Either way,
the total probability = 2( Jack -Queen) = 2 (4/52 * 4/51) = 18/2652. E is the correct answer.
Answer: E
Question: At a certain college, 80 percent of the total number of students are freshmen. If 60 percent of the fresh-men are enrolled in the school of liberal arts and, of these, 50 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
Options:
A)25%
B)30%
C)24%
D)28%
E)20%
Rationale: Let's say there is a TOTAL of 100students at this college.
80 percent of the total number of students are freshmen.
# of freshmen = 80% of 100 =80
60 percent of the fresh-men are enrolled in the school of liberal arts...
Number of liberal arts freshmen = 60% of 80 = 48
...and, of these, 50 percent are psychology majors...
Number of liberal arts freshmen who are psychology majors = 50% of 48=24
What percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
24/100= 24%
Answer:C
Answer: C
Question: If the least common multiple of two prime numbers x and y is 77, where x > y, then the value of 2x + y is
Options:
A)11
B)17
C)21
D)29
E)33
Rationale: LCM (x,y) = 77 and both x an y are prime.
The only values of x and y can be 11 and 7 (x = 11 and y = 7)
2x + y = 2*11 + 7 = 29
Correct Option: D
Answer: D
Question: Working at their respective constant rates, machine A makes 100 copies in 12 minutes and machine B makes 150 copies in 15 minutes. If these machines work simultaneously at their respective rates for 30 minutes, what is the total number of copies that they will produce?
Options:
A) 250
B) 425
C) 550
D) 700
E) 750
Rationale: Machine A can produce 100 *30/12= 250 copies
And, Machine B can produce 150* 30/15= 300 Copies
Total producing 550 Copies.
C is the answer
Answer: C
Question: How much time will it take for an amount of Rs. 400 to yield Rs. 60 as interest at 12% per annum of simple interest?
Options:
A)2.35 years
B)4.25 years
C)7 years
D)1.25 years
E)2 years
Rationale: Explanation:
Time = (100 x 60)/(400 x 12) years
= 1.25 years.
Answer: D
Answer: D
Question: For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100) +2, then p is?
Options:
A)between 2 and 20
B)between 10 and 20
C)between 20 and 30
D)between 30 and 40
E)2
Rationale: h(100)+2=2∗4∗6∗...∗100+2h(100)+2=2∗4∗6∗...∗100+2 . Notice that we can factor out 2 from h(100)+2, thus the smallest prime factor of h(100)+2 is 2: h(100)+2=2∗(4∗6∗...∗100+1)h(100)+2=2∗(4∗6∗...∗100+1).
Answer: E.
Answer: E
Question: If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
Options:
A)250
B)320
C)364
D)390
E)430
Rationale: A particular players is never chosen, it means that 11 players are selected out of 14 players.
=> Required number of ways = 14C11
= 14!/11!x3! = 364
C
Answer: C
Question: The operation is defined for all integers a and b by the equation ab = (a - 1)(b - 1). If x9 = 160, what is the value of x ?
Options:
A)18
B)15
C)17
D)19
E)21
Rationale: ab = (a - 1)(b - 1)
x9 = (x-1)(9-1) = 160 --> x-1=20 --> x=21
Answer: E
Answer: E
Question: If money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70/r years. If Pat's parents invested $ 5000 in a long term bond that pays 4 percent interest, compounded annually, what will be the approximate total amount of investment 36 years later, when Pat is ready for college?
Options:
A)$20000
B)$15000
C)$12000
D)$10000
E)$9000
Rationale: Since investment doubles in 70/r years then for r=4 it'll double in 70/4=~18 years (we are not asked about the exact amount so such an approximation will do). Thus in 36 years investment will double twice and become ($5,000*2)*2=$20,000 (after 18 years investment will become $5,000*2=$10,000 and in another 18 years it'll become $10,000*2=$20,000).
Answer: A.
Answer: A
Question: A train has a length of 150 meters . it is passing a man who is moving at 7 km/hr in the same direction of the train, in 3 seconds. Find out the speed of the train.
Options:
A)182 km/hr
B)180 km/hr
C)152 km/hr
D)169 km/hr
E)187 km/hr
Rationale: Explanation:
Length of the train, l = 150m
Speed of the man , Vm= 7 km/hr
Relative speed, Vr = total distance/time = (150/3) m/s = (150/3) × (18/5) = 180 km/hr
Relative Speed = Speed of train, Vt - Speed of man (As both are moving in the same direction)
=> 180 = Vt - 7
=> Vt = 180 + 7 = 187 km/hr
Answer: Option E
Answer: E
Question: A man cycles at a rate of 4 kmph. He cycles for 45 minutes and then takes a 15 minute break. Determine the total time taken to cover 12 kms by him.
Options:
A)3 hours 48 minutes
B)3 hours 49 minutes
C)3 hours 25 minutes
D)3 hours 45 minutes
E)8 hours 45 minutes
Rationale: Explanation:
Speed of man = 4kmph
Time for which he cycled = 45 minutes.
Distance covered = speed*time
=> 4*45/60
=> 3km
Total time to cover 3 km = 45 minutes + 15 minutes = 60 minutes = 1 hour
Thus 3 km is covered in 1 hour
Required distance to be covered = 12 km
Beginning from origin point, he covers 9 km in 3 hours taking 15 minutes rest after every 45 minutes. To complete 12 kms he goes another 3 km in 45 minutes.
Thus, total time he takes is 3 hours 45 minutes.
ANSWER: D
Answer: D
Question: The area of a square garden is A square feet and the perimeter is p feet. If a=2p+20, what is the perimeter of the garden, in feet?
Options:
A)28
B)36
C)40
D)56
E)64
Rationale: Perimeter of square = P
Side of square = P/4
Area of Square = (P^2)/16 =A
Given that A = 2P + 20
(P^2)/16 = 2P + 20
P^2 = 32P + 320
P^2 -32P -320 = 0
P^2 -40P +8P -320 = 0
P(P-40)+8(P+40) = 0
(P-40)(P+8) = 0
P = 40 or - 8
Discarding negative value , P = 40
Answer is C
Answer: C
Question: The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle.
Options:
A)84
B)86
C)82
D)80
E)None of them
Rationale: Let inner radius be r metres. Then, 2(22/7)r = 440 = r = (440 x (7/44))= 70 m.
Radius of outer circle = (70 + 14) m = 84 m.
Answer is A
Answer: A
Question: In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together?
Options:
A)650
B)720
C)420
D)122
E)450
Rationale: Explanation:
The word 'LEADING' has 7 letters. It has the vowels 'E','A','I' in it and these 3 vowels should always come together. Hence these 3 vowels can be grouped and considered as a single letter. that is, LDNG(EAI).
Hence we can assume total letters as 5 and all these letters are different. Number of ways to arrange these letters
=5!=5Ã—4Ã—3Ã—2Ã—1=120=5!=5Ã—4Ã—3Ã—2Ã—1=120
In the 3 vowels (EAI), all the vowels are different. Number of ways to arrange these vowels among themselves
=3!=3Ã—2Ã—1=6=3!=3Ã—2Ã—1=6
Hence, required number of ways
=120Ã—6=720
ANSWER IS B
Answer: B
Question: If a and b is a positive integer, then 2^a + 2^(b + 1) =
Options:
A)cannot be determined
B)2^(a + b)
C)2a+b
D)2^(a + 1+b)
E)none
Rationale: If a and b is a positive integer, then 2^a + 2^(b + 1) =
2^a + 2^(b+ 1)
2^(1+a+b)
Answer:option D
Answer: D
Question: By selling an article at Rs.600, a profit of 30% is made. Find its cost price?
Options:
A)400
B)267
C)287
D)480
E)811
Rationale: SP = 600
CP = (SP)*[100/(100+P)]
= 600 * [100/(100+50)]
= 600 * [100/150] = Rs.400
Answer: A
Answer: A
Question: In a certain sequence of 6 numbers, each number after the first is 1 more than the previous number. If the first number is −5, how many of the numbers in the sequence are positive?
Options:
A)None
B)One
C)Two
D)Three
E)Four
Rationale: Non - Negative ( zero to positive infinity )
Solution to the question :
-5,-4,-3,-2,-1,0
Hence ans is 0 ..option A
Answer: A
Question: P says to Q "I am thrice as old as you were when i was as old as you are". If the sum of their present age is 100 years, then the present age of Q?
Options:
A)35.5
B)36.5
C)37.5
D)38.5
E)39.5
Rationale: let the present age of q be x
the age of q years back(to be defined) is x/3
as the age of p will be x by then .
Years passed= x-x/3=2x/3(subtracting age of q)
so p acurrent age is x+2x/3
and q current age is x
adding them to 100
we get x =37.5
ANSWER:C
Answer: C
Question: Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 15 km/hr. For how many minutes does the bus stop per hour?
Options:
A)22
B)88
C)77
D)20
E)45
Rationale: In 1hr, the bus covers 60 km without stoppages and 15 km with stoppages.
Stoppage time = time take to travel (60 - 15) km i.e 45 km at 60 km/hr.
stoppage time = 45/60 hrs = 45 min.
Answer: E
Answer: E
Question: The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
Options:
A)6,5
B)5,8
C)2,3
D)9,8
E)9,10
Rationale: Explanation:
Let the two consecutive positive integers be x and x + 1
x2 + (x + 1)2 - x(x + 1) = 91
x2 + x - 90 = 0
(x + 10)(x - 9) = 0 => x = -10 or 9.
As x is positive x = 9
Hence the two consecutive positive integers are 9 and 10.
Answer E
Answer: E
Question: A student got 72% in math and 82% in history. To get an overall average of 75%, how much should the student get in the third subject?
Options:
A)69%
B)71%
C)73%
D)75%
E)77%
Rationale: 72 + 82 + x = 3*75
x = 71
The answer is B.
Answer: B
Question: A 260 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Options:
A)230
B)240
C)267
D)256
E)298
Rationale: Relative speed = 120 + 80 = 200 km/hr.
= 200 * 5/18 = 500/9 m/sec.
Let the length of the other train be x m.
Then, (x + 260)/9 = 500/9 => x = 240.
Answer: B
Answer: B
Question: A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 10 percent of the drive from the center, what percent of the round-trip has the technician completed?
Options:
A)5%
B)10%
C)25%
D)40%
E)55%
Rationale: Assuming that the technician makes a round-trip of 40 miles (each way is 20 miles), then the technician would have completed 20 miles + 2 miles (10% of the remaining 20 miles). Therefore, the total is 22 miles. 22miles/40 miles is 55% of the entire trip.
ANSWER:E
Answer: E
Question: A train consists of 12 boggies, each boggy 15 metres long. The train crosses a telegraph post in 9 seconds. Due to some problem, two boggies were detached. The train now crosses a telegraph post in
Options:
A)18 sec
B)7.5 sec
C)15 sec
D)20 sec
E)None of these
Rationale: Length of train = 12 Ã— 15 = 180 m.
Then, speed of train = 180â„9 = 20 m/s
Now, length of train = 10 Ã— 15 = 150m
âˆ´ Required time = 150â„20 = 7.5 sec.
Answer B
Answer: B
Question: There are 2 kinds of staff members in a certain company, PART TIME AND FULL TIME. 25 percent of the total members are PART TIME members others are FULL TIME members. The work time of part time members is 3/5 of the full time members. Wage per hour is same. What is the ratio of total wage of part time members to total wage of all members.
Options:
A)A.1/4
B)B.1/5
C)1/6
D)1/7
E)1/8
Rationale: Just plug in
Assuming there are 100 employees
25% are PT = 25
75% FT = 75
Assume that the total number of hrs FT employees have to work = 10
PT will work = 3/5*10 = 6
since the wages are same , there will no affect on ratios
total number of hrs FT employees work = 75*10 = 750
PT = 25*6 = 150
now the ratio is 150/900 = 1/6 answer is C
Answer: C
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Options:
A)7.3 hrs
B)7.9 hrs
C)7.1 hrs
D)7.2 hrs
E)7.8 hrs
Rationale: Net part filled in 1 hour
= (1/4 - 1/9) = 5/36
The cistern will be filled in 36/5 hrs i.e., 7.2 hrs.
Answer:D
Answer: D
Question: How long does a train 100 m long traveling at 72 kmph takes to cross a tunnel of 1400 m in length?
Options:
A)70 sec
B)60sec
C)82 sec
D)75 sec
E)62 sec
Rationale: D = 1400+100 = 1500 m
S = 72 * 5/18 = 20
T = 1500 * 1/20 = 75 sec
ANSWER:D
Answer: D
Question: In a triangle ABC, AB = 6, BC = 8 and AC = 10. A perpendicular dropped from B, meets the side AC at D. A circle of radius BD (with centre B) is drawn. If the circle cuts AB and BC at P and Q respectively, then AP : QC is equal to
Options:
A)1:1
B)3:2
C)4:1
D)3:8
E)2:5
Rationale: Explanation :
Triangle ABC and Triangle ADB are similar,
AC/AB= BC/BD
10/6=8/r
r=24/5
BP=BQ=BD=r=24/5
AP=AB-r= 6-24/5 = 6/5
CQ=BC-r=8-24/5=16/5
AP:CQ= 6/16 = 3:8
Answer : D
Answer: D
Question: Maddie has 6 apples, if she give 3 to mike, how many does she have left?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: 6-3=3
C. 3
Answer: C
Question: Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 20 minutes. If A, B & C are kept open successively for 1.5 minute each, how soon will the tank be filled?
Options:
A)2 hours
B)4 hours
C)5 hours
D)2 hours 15 min
E)3 hours
Rationale: in three minute 1/20+1/30-1/20=2/60 = 1/30 part is filled
4.5 min--------1/30 parts
x min--------- 1 part(full)
x=135 min =2 hours 15 min
ANSWER:D
Answer: D
Question: If the time is currently 1:30 pm, what time will it be in exactly 644 hours?
Options:
A)7:30 am
B)8:30 am
C)9:30 am
D)10:30 am
E)11:30 am
Rationale: 644 = 26(24) + 20/24
The time will be 20 hours later than 1:30 pm which is 9:30 am.
The answer is C.
Answer: C
Question: A no.when divided by 220 gives a remainder 43, what remainder will be obtainedby dividingthe same no.17?
Options:
A)5
B)6
C)9
D)11
E)15
Rationale: 221 + 43 = 264/17 = 9 (Remainder)
C
Answer: C
Question: A river 5m deep and 35 m wide is flowing at the rate of 2 kmph, calculate the amount of water that runs into the sea per minute?
Options:
A)5832.75
B)5839.75
C)5837.75
D)5222.75
E)5835.75
Rationale: Rate of water flow-2kmph--2000/60--33.33 m/min
depth of river--5m
width of river--35m
vol of water per min--33.33 *5*35---5832.75
Answer A
Answer: A
Question: Dawson purchased a house for Rs.78000 and a site for Rs.12000 respectively, if he sold the house for Rs.79000 and the site for Rs.15000, then find the resultant percentage of gain?
Options:
A)4.43%
B)4.44%
C)4.45%
D)4.46%
E)4.47%
Rationale: Sol.
Total CP = 90000 & total SP = 94000 ⇒ gain = SP/CP = 94000/90000 = 1.0444 = 4.44%.
Answer B
Answer: B
Question: Marketing executives for a certain chewing gum company projected a 25 percent increase in revenue this year over that of last year, but revenue this year actually decreased by 25%. What percent of the projected revenue was the actual revenue ?
Options:
A)53%
B)58%
C)60%
D)64%
E)75%
Rationale: Last year revenue = 100 (assume);
This year revenue = 75;
Projected revenue = 125.
Actual/Projected*100=75/125*100 = 60%.
Answer: C.
Answer: C
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?
Options:
A)38
B)178
C)39
D)27
E)11
Rationale: Let the average after 7th inning = x
Then average after 16th inning = x - 3
16(x-3)+87 = 17x
x = 87 - 48 = 39
ANSWER:C
Answer: C
Question: The average of first five multiples of 6 is?
Options:
A)6
B)18
C)9
D)5
E)7
Rationale: Average = 6(1 + 2 + 3 + 4 + 5)/5
= 90/5
= 18.
Answer:B
Answer: B
Question: The 19th of September 1987 was a Saturday. If 1988 was a leap-year, what day of the week was the 25th of September 1990?
Options:
A)Monday
B)Tuesday
C)Wednesday
D)Thursday
E)Friday
Rationale: 19th September
1987: Saturday
1988: Monday (due to leap year)
1989: Tuesday
1990: Wednesday
Hence 25th September was a Tuesday.
The answer is B.
Answer: B
Question: The average marks obtained by 100 candidates in an examination is 50. Find how many candidates have passed in the examination, if the average marks of candidates who passed is 70 and that of failed candidates is 20.
Options:
A)90
B)75
C)60
D)58
E)65
Rationale: Explanation:
Let the number of students who passed the examination be X
Number of students failed = (100 - X)
Total marks of students who have passed = 70X
Total marks of 100 students = 100 * 50 = 5000
Total marks of students who have failed = 20(100 – X)
20(100 – X) + 70X = 5000
2000 – 20 X + 70X = 5000
50 X = 3000
X = 60
ANSWER:C
Answer: C
Question: What is the next number in this sequence:
1, 11, 21, 1211, 111221, 312211, 13112221, _________?
Options:
A)1113213211
B)1113213244
C)1113213233
D)1113213222
E)1113213255
Rationale: A
1113213211
The next number in sequence is 1113213211.
EXPLANATION-
The sequence goes like
You need to spell the no of digits.
e.g. take the no 1,11,21
Take 1. it spells as one 1 so we get the no 11,
take 11 we spell it as two ones‘ and we get 21
.so take the last given no in the sequence 13112221 so we spell it as one 1 one 3 two 1 three 2’s one 1.
So
the next no in sequence is 1113213211.
Answer: A
Question: Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Options:
A)297
B)268
C)375
D)367
E)363
Rationale: A+B+C = 1500
A = 1/3(B+C); B = 2/3(A+C)
A/(B+C) = 1/3
A = 1/4 * 1500 => 375
Answer: C
Answer: C