divelab/Sys2Bench huggingface dataset:
Question: A farmer with 1,350 acres of land had planted his fields with corn, sugar cane, and tobacco in the ratio of 5:2:2, respectively, but he wanted to make more money, so he shifted the ratio to 2:3:4, respectively. How many more acres of land were planted with tobacco under the new system?
Options:
A)75
B)150
C)300
D)450
E)600
Rationale: Originally (2/9)*1350 = 300 acres were planted with tobacco.
In the new system (4/9)*1350 = 600 acres were planted with tobacco.
Thus 600-300 = 300 more acres were planted with tobacco.
The answer is C.
Answer: C
Question: The mean daily profit made by a shopkeeper in a month of 30 days was Rs. 350. If the mean profit for the first fifteen days was Rs. 255, then the mean profit for the last 15 days would be
Options:
A)Rs. 200
B)Rs. 445
C)Rs. 275
D)Rs. 425
E)None of these
Rationale: Average would be : 350 = (255 + x)/2
On solving, x = 445.
Answer: B
Answer: B
Question: A positive integer is divisible by 3 if and only if the sum of its digits is divisible by 3. If the six-digit integer is divisible by 3, and n is of the form 1k1,k34, where k represents a digit that occurs twice, how many values could n have?
Options:
A)1
B)2
C)3
D)4
E)10
Rationale: 1k1k34
Taking sum of the numericals = 1 + 1 + 3 + 4 = 9
We require the values of K such that they are also divisible by 3
101034
131334
161634
191934
Answer = 4 =D
Answer: D
Question: The average price of three items of furniture is Rs. 15000. If their prices are in the ratio 2:4:8, the price of the cheapest item is?
Options:
A)2379
B)2889
C)5625
D)9000
E)28311
Rationale: Let their prices be 3x, 5x and 7x.
Then, 2x + 6x + 8x = (15000 * 3) or x = 2812.5.
Cost of cheapest item = 2x = Rs. 5625.
Answer: C
Answer: C
Question: Working at their respective constant rates, Paul, Abdul and Adam alone can finish a certain work in 3, 4, and 5 hours respectively. If all three work together to finish the work, what fraction W of the work will be done by Adam?
Options:
A) 1/4
B) 12/47
C) 1/3
D) 5/12
E) 20/47
Rationale: Let the total work be 60 units. Pual does 60/3 =20 units of work per hr. abdul does 15 units per hr and adam does 12 units per hr. If all work together they do (20 + 15 + 12) units per hr = 47 units per hr. So the time taken to finish the work = 60/47 hrs.
adam will do 60/47 * 12 units of work in 60/47 hr . fraction of work adam does =work done by adam / total work
W>( 60/47 *12)/60 =12/47
Answer B
Answer: B
Question: if price of t.v set is reduced by 10%, then its sale increases by 85%, find net effect on sale value
Options:
A)44
B)45
C)46
D)67
E)48
Rationale: - a + b + ((-a)(b)/100)
= -10+85+(-10*85)/100
= -10+85-8.5
=67
ANSWER:D
Answer: D
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 64 hours and 25 hours respectively. The ratio of their speeds is?
Options:
A)4:9
B)4:3
C)4:5
D)5:8
E)4:2
Rationale: Let us name the trains A and B.
Then, (A's speed) : (B's speed)
= √b : √a = √25 : √64
= 5:8
Answer:D
Answer: D
Question: How many positive integers less than 5,000 are evenly divisible by neither 15 nor 22?
Options:
A)4,514
B)4,475
C)4,521
D)4,428
E)4,349
Rationale: integers less than 5000 divisible by 15 5000/15 =333.something , so 333
integers less than 5000 divisible by 22 5000/22 = 238.## , so 238
we have double counted some, so take LCM of 15 and 22 =105 and divide by 5000, we get 47. so all numbers divisible by 15 and 22 = 333 +238 -47 =524
now subtract that from 4999. 4999- 524 = 4514 answer A.
Answer: A
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 40% profit?
Options:
A)2000
B)2778
C)2299
D)2778
E)2240
Rationale: Let C.P. be Rs. x.
Then, (1920 - x)/x * 100 = (x - 1280)/x * 100
1920 - x = x - 1280
2x = 3200 => x = 1600
Required S.P. = 140 % of Rs. 1600 = 140/100 * 1600 = Rs. 2240.
Answer:E
Answer: E
Question: 97 students take part in a test and the median score is 85. Which of the following descriptions must be correct?
I.At most 49 students’ score are equal to or more than 86.
II. At least 49 students’ score are less than 85.
III. At least 49 students’ score are equal to or more than 85.
Options:
A)I
B)II
C)III
D)III
E)IIII
Rationale: If we order the scores increasingly, then on the 49th place we have the score of 85. There must be 48 scores (those on the right of the 85 score) greater or equal to 85. So, I is necessarily correct.
The scores on the left of the 49th place, all have to be equal or less than 85. Since we can have the extreme case of all the scores 85, neither II, nor III is correct. The question asks for descriptions thatmustbe correct.
Answer C.
Answer: C
Question: The ‘moving walkway’ is a 300-foot long walkway consisting of a conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a rate of 3 feet per second. Once Bill reaches the group of people, he stops walking and stands with them until the walkway ends. What is Bill’s average rate Q of movement for his trip along the moving walkway?
Options:
A)2 feet per second
B)2.5 feet per second
C)3 feet per second
D)4 feet per second
E)5 feet per second
Rationale: A, B, and C don't make ANY sense! we know for some time...(a majority of the 300ft) Bill will walk at a pace of 6ft per second...and then at some later time he will stop and move at 3 ft per second... The average MUST bebetween3-6 ft per second or the Earth is FLAT!!!.
So we are down to DE, D doesn't make sense on a weighted averages level because we know when Bill gets on the walkway the patrons are already 40% of the way down the 300ft walkway AND they are still moving at half the rate of Bill!! So for Bill to average 4 ft per second he would have had to spend a majority of the 300 ft at 3ft per second because 4 is much closer (when you factor in the size of the values we're dealing with 2 is double 1) to 3 than to 6. We know from the information that isn't possible. Billmust havespent the majority of his time at 6 ft Q per second before he stopped walking. That leaves only answer E as plausible.
Answer: E
Question: If a tire rotates at 400 revolutions per minute when the car is traveling 72km/h, what is the circumference of the tire?
Options:
A)2
B)1
C)4
D)3
E)5
Rationale: 400 rev / minute = 400 * 60 rev / 60 minutes
= 24,000 rev / hour
24,000 * C = 72,000 m : C is the circumference
C = 3 meters
correct answer D
Answer: D
Question: The difference between the place values of two sevens in the numerical 69758472 is
Options:
A)0
B)6993
C)699930
D)996330
E)None of them
Rationale: Required difference = (700000-70)
=699930.
Answer is C
Answer: C
Question: A cab driver 5days income was $300, $150, $750, $400 , $500. Then his average income is?
Options:
A)$500
B)$650
C)$420
D)$375
E)$625
Rationale: avg = sum of observations/number of observations
avg income=(300+150+750+400+500)/5 = 420
Answer is C
Answer: C
Question: By how much is 50% of 250 greater than 25% of 400.
Options:
A)25
B)26
C)29
D)39
E)26
Rationale: (50/100) * 250 â€“ (25/100) * 400
125 - 100 = 25
Answer:B
Answer: B
Question: What is the middle number in a sequence of 11 integers with a total sum 99?
Options:
A)12
B)9
C)5.5
D)7
E)8
Rationale: The average or median is: 99/11 = 9 , which is the middle in the sequence.
Answer: B
Answer: B
Question: A 5-letter code word consists of letters A, B, and C. If the code includes all the three letters, how many such codes are possible?
Options:
A)90
B)48
C)36
D)24
E)18
Rationale: Note that the correct answer to this question is 36, not 72.
AB-ABC can be arranged in 5!/2!2!=30 ways;
BC-ABC can be arranged in 5!/2!2!=30 ways;
AC-ABC can be arranged in 5!/2!2!=30 ways;
Total: 30+30+30=90.
Answer: A.
Answer: A
Question: If f, g, and h are positive numbers such that (f/(f+g))(10) + (g/(f+g))(20)=h and if f<g which of the following could be the value of h?
Options:
A)10
B)12
C)15
D)18
E)30
Rationale: The answer is D. For any positive f and g, h is a number between 10 and 20. Since f < g, weight of 10 is inferior of weight of 20 -> h is > 15 -> 18 is the answer.
Answer: D
Question: 8597 - ? = 7429 - 4358
Options:
A)5526
B)5536
C)5556
D)5576
E)5586
Rationale: Let 8597 - x = 7429 - 4358.
Then, x = (8597 + 4358) - 7429
= 12955 - 7429 = 5526.
Answer is A
Answer: A
Question: A football team lost 5 yards and then gained 10. What is the team's progress?
Options:
A)2
B)4
C)5
D)6
E)8
Rationale: For lost, use negative. For gain, use positive.
Progress = -5 + 10 = 5 yards
C
Answer: C
Question: A man can row downstream at the rate of 45 Kmph and upstream at 23 Kmph. Find the man’s rate in still water and rate of current?
Options:
A)8.5
B)10.0
C)12.5
D)11.0
E)8.25
Rationale: Rate of still water = 1/2 (down stream + upstream)
= 1/2 (45 + 23) = 34 Kmph
rate of current = 1/2 (down stream - upstream)
= 1/2 (45 - 23)
= 1/2 (22)
= 11 kmph
Answer is D.
Answer: D
Question: How is 5% expressed as a decimal fraction?
Options:
A)0.5
B)0.05
C)0.005
D)0.0005
E)5
Rationale: 5/100= 0.05
ANSWER:B
Answer: B
Question: A five-digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4 and 5 without repetition. The total number T of ways this can be done is:
Options:
A)122
B)210
C)216
D)217
E)225
Rationale: We should determine which 5 digits from given 6, would form the 5 digit number divisible by 3.
We have six digits: 0, 1, 2, 3, 4, 5. Their sum=15.
For a number to be divisible by 3 the sum of the digits must be divisible by 3. As the sum of the six given numbers is 15 (divisible by 3) only 5 digits good to form our 5 digit number would be 15-0={1, 2, 3, 4, 5} and 15-3={0, 1, 2, 4, 5}. Meaning that no other 5 from given six will total the number divisible by 3.
Second step:
We have two set of numbers:
1, 2, 3, 4, 5 and 0, 1, 2, 4, 5. How many 5 digit numbers can be formed using these two sets:
1, 2, 3, 4, 5 --> 5! as any combination of these digits would give us 5 digit number divisible by 3. 5!=120.
0, 1, 2, 4, 5 --> here we can not use 0 as the first digit, otherwise number won't be any more 5 digit and become 4 digit. So, desired # would be total combinations 5!, minus combinations with 0 as the first digit (combination of 4) 4! --> 5!-4!=4!(5-1)=4!*4=96
120+96=216=Y
Answer: C.
Answer: C
Question: A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 20 balls per box. If 104 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: We have to work with multiples of 20 and 25.
First, we must know the limits of this multiples, so:
105/25= 4....so the max is 4
105/20=5...so the max is 5
105-100 =5
Answer : E
Answer: E
Question: A train 100 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Options:
A)28
B)50
C)88
D)41
E)12
Rationale: Speed of the train relative to man = (100/10) m/sec = (10) m/sec. [(10) * (18/5)] km/hr = 36 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 36 ==> x
= 41 km/hr.Answer:D
Answer: D
Question: A boat covers a certain distance downstream in 4 hours but takes 6 hours to return upstream to the starting point. If the speed of the stream be 3 km/hr, find the speed of the boat in still water
Options:
A)15 km/hr
B)12 km/hr
C)13 km/hr
D)14 km/hr
E)None of these
Rationale: Explanation :
Let the speed of the water in still water = x
Given that speed of the stream = 3 kmph
Speed downstream = (x+3) kmph
Speed upstream = (x-3) kmph
He travels a certain distance downstream in 4 hour and come back in 6 hour.
ie, distance travelled downstream in 4 hour = distance travelled upstream in 6 hour
since distance = speed × time, we have
(x+3)4=(x−3)6
=> (x + 3)2 = (x - 3)3
=> 2x + 6 = 3x - 9
=> x = 6+9 = 15 kmph. Answer : Option A
Answer: A
Question: 11:35::17:?
Options:
A)3
B)22
C)58
D)10
E)54
Rationale: 11:35::17:X
11x:35x17
11x=595
x=54
ANSWER:D
Answer: D
Question: Carmen made a sculpture from small pieces of wood. The sculpture is 2 feet 10 inches tall.Carmen places her sculpture on a base that is 4 inches tall. How tall are the sculpture andbase together?
Options:
A)3.17 feet
B)3.2 feet
C)3.3 feet
D)3.4 feet
E)3.5 feet
Rationale: we know 1 feet =12 inch then
2 feet =24 inch
24+10=34 then
34+4=38
38/12=3.17 feet
ANSWER:A
Answer: A
Question: By investing in 1623% stock at 64, one earns Rs. 1800. The investment made is
Options:
A)s. 6500
B)s. 7500
C)s. 5640
D)s. 5760
E)s. 6912
Rationale: Explanation :
Market Value = Rs.64
Face Value is not given and hence take it as Rs.100
16 2/3% of the face value = 50/3
ie, to earn 50/3, investment = Rs.64
Hence, to earn Rs.1800, investment needed = 64×3×1800/50 = 6912
Answer : Option E
Answer: E
Question: Two stations A and B are 200 km apart on a straight track. One train starts from A at 7 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?
Options:
A)02 p.m.
B)06 p.m.
C)10 p.m.
D)12 p.m.
E)11 p.m.
Rationale: Explanation:
Assume both trains meet after 'p' hours after 7 a.m.
Distance covered by train starting from A in 'p' hours = 20p km
Distance covered by train starting from B in (p-1) hours = 25(p-1)
Total distance = 200
=> 20x + 25(x-1) = 200
=> 45x = 225
=> p= 5
Means, they meet after 5 hours after 7 am, ie, they meet at 12 p.m.
Answer: D
Answer: D
Question: Find the number of solutions for 3x+4y=60, if x and y are positive integers
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: 3x+4y=60
=>x=(60-4y)/3
as x and y are positive integers, put y=1,2,3,... & find x
y=3,x=16
y=6,x=12
y=9,x=8
y=12,x=4
(x,y)=(4,12),(8,9),(12,6),(16,3)
only 4 solution
ANSWER:D
Answer: D
Question: 0, 1, 4, 9, 16, 25, 36, 49, ?What number should replace the question mark?
Options:
A)81
B)74
C)64
D)24
E)48
Rationale: C 64add 0^2,1^2,2^2,......
Answer: C
Question: A can contains a mixture of liquids A and B is the ratio 7:5. When 3 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter of liquid A was contained by the can initially?
Options:
A)7
B)10
C)12
D)14
E)16
Rationale: Ci*Vi = Cf*Vf
(7/12)*(V1 - 3) = (7/16)*V1
(V1 - 3)/V1 = 3/4
3 accounts for the difference of 1 on ratio scale so Initial volume = V1 = 4*3 = 12 litres.
7/12 of the initial mixture was liquid A so liquid A was (7/12)*12 = 7 litres.
Answer : A
Answer: A
Question: If the area of a square with sides of length 11 centimeters is equal to the area of a rectangle with a width of 11 centimeters, what is the length of the rectangle, in centimeters?
Options:
A)4
B)8
C)11
D)16
E)18
Rationale: Let length of rectangle = L
11^2 = L*11
=> L = 121/11 = 11
Answer C
Answer: C
Question: (3080 + 6160) / 28
Options:
A)380
B)350
C)330
D)310
E)None of these
Rationale: Explanation:
As per BODMAS rule, first we will solve the equation in bracket then we will go for division
= (9240)/28 = 330
Option C
Answer: C
Question: How many 3 digit numbers are divisible by 6 in all ?
Options:
A)150
B)111
C)120
D)243
E)345
Rationale: A
150
Required numbers are 102, 108, 114, ... , 996
This is an A.P. in which a = 102, d = 6 and l = 996
Let the number of terms be n.
Then, a + (n - 1)d = 996
102 + (n - 1) x 6 = 996
6 x (n - 1) = 894
(n - 1) = 149
n = 150.
Answer: A
Question: One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
Options:
A)3/13
B)1/13
C)2/11
D)3
E)2
Rationale: Clearly, there are 52 cards, out of which there are 12 face cards.
P (getting a face card) = 12/52	= 3/13
Hence Answer is A
Answer: A
Question: What should come in place of the question mark (?) in the following equation?
9548 + 7314 = 8362 + ?
Options:
A)8230
B)8500
C)8410
D)8600
E)None of these
Rationale: 9548 + 7314 = 8362 + ?
or,? = 9548 + 7314 – 8362 = 8500
Answer B
Answer: B
Question: During a Pizza buffet where A eats more times 4 than B, and B eats 8 times less than C.find the least number of times all the three has to eat
Options:
A)7
B)5
C)9
D)2
E)4
Rationale: A eats more than B if B eats 1 times than the ratio of A and B is A:B is 4:1 and as B eat 8 times less the C the the ratio of B : C is 1:8 the the least number of times all three has eat is the LCM of A,B,C that is 8 ..
ANSWER:E
Answer: E
Question: The ratio between the present ages of P and Q is 5:7 respectively. If the difference between Q's present age and P's age after 6 years is 2. What is the total of P's and Q's present ages?
Options:
A)48 years
B)65 years
C)87 years
D)20 years
E)26 years
Rationale: Let the present ages of P and Q be 5x and 7x years respectively.
Then, 7x - (5x + 6) = 2
2x = 8 => x = 4
Required sum = 5x + 7x = 12x = 48 years.
Answer:A
Answer: A
Question: A pipe can fill a cistern in 12 minutes whereas the cistern when fill can be emptied by a leak in 18 minutes. When both pipes are opened, find when the cistern will be full?
Options:
A)17
B)16
C)70
D)36
E)12
Rationale: 1/12 - 1/18 = 1/36
36 minutes
Answer: D
Answer: D
Question: Tommo spent six lucky days in Las Vegas. On his first day he won a net amount of only $20, but on each of the following days, the daily net amount he won grew by d dollars. If Tommo won a total net amount of $1620 during his stay in Las Vegas, how much did he win on the last day?
Options:
A)330
B)500
C)520
D)540
E)620
Rationale: I drew a diagram:
1 - $20
2 -
3 -
4 - $320
5 -
6 -
Total: $1,620
Between 1 and 6 are 5 days where he won $1,600. This means he averaged $320 per day (1600/5). You can put $320 by 4 because it's the middle number. Now you just find the two points betwenn $20 and $320 (320-20 = 300 / 3 = 100). So each day, he earned $100 more. This means on day 6, tommo earned$520. Answer choice C.
Answer: C
Question: Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 4w widgets?
Options:
A)4
B)6
C)8
D)24
E)12
Rationale: Let Y produce w widgets in y Days
Hence, in 1 day Y will produce w/y widgets.
Also, X will produce w widgets in y+2 days (given, X takes two more days)
Hence, in 1 day X will produce w/y+2 widgets.
Hence together X and Y in 1 day will produce {w/y + w/y+2} widgets.
Together X and Y in 3 days will produce = 3 * [{w/y + w/y+2}] widgets.
It is given that in 3 days together they produce (5/4)w widgets.
Equating, 3 * [{w/y + w/y+2}] = (5/4)w
Take out w common and move 3 to denominator of RHS
w{1/y + 1/(y+2)} = (5/12)w
Canceling w from both sides
{1/y + 1/(y+2)} = 5/12
2y+2/y(y+2) = 5/12
24y+24=5y^2 + 10y
5y^2-14y-24=0
5y^2-20y+6y-24=0
5y(y-4)+6(y-4)=0
(5y+6)+(y-4)=0
y=-6/5 or y=4
Discarding y=-6/5 as no of days cannot be negative
y=4
hence it takes Y, 4 days to produce w widgets.
Therefore, it will take X (4+2)=6 days to produce w widgets.
Hence it will take X 4*6=24 days to produce 4w widgets.
Answer : D
Answer: D
Question: A bus moving at a speed of 45 km/hr. overtakes a truck 150 metres ahead going in the same directions in 30 seconds. The speed of the truck is
Options:
A)27km/hr
B)24km/hr
C)25km/hr
D)28km/hr
E)None of these
Rationale: Explanation:
The lag of 150 m has been covered by the bus in 30 seconds.
Therefore, the relative speed of the bus and truck is =(5X18)/5=18km/h
The speed of truck is 45-18 = 27 Km/hr
Answer A
Answer: A
Question: In triangle PQR, the angle Q = 90 degree, PQ =3 cm, QR = 8 cm. X is a variable point on PQ. The line through X parallel to QR, intersects PR at Y and the line through Y, parallel to PQ, intersects QR at Z. Find the least possible length of XZ
Options:
A)3.6 cm
B)2.4 cm
C)4.8 cm
D)2.16 cm
E)3.2 cm
Rationale: Look at the diagram below:
Now, in case when QY is perpendicular to PR, two right triangles PQR and PQY are similar: QY:QP=QR:PR --> QY:3=8:10 --> QY=2.4.
Answer: B.
Answer: B
Question: The original price of a suit is $200. The price increased 25%, and after this increase, the store published a 25% off coupon for a one-day sale. Given that the consumers who used the coupon on sale day were getting 25% off the increased price, how much did these consumers pay for the suit?
Options:
A)$178.50
B)$182.50
C)$185.50
D)$187.50
E)$200
Rationale: 0.75*(1.25*200) = $187.50
The answer is D.
Answer: D
Question: In Town X, 64 percent of the population are employed, and 55 percent of the population are employed males. What percent of the employed people in Town X are females?
Options:
A)14%
B)25%
C)32%
D)40%
E)52%
Rationale: We are asked to find the percentage of females in employed people.
Total employed people 64%, out of which 55 are employed males, hence 9% are employed females.
(employed females)/(total employed people)=9/64=14%
Answer: A.
Answer: A
Question: If the integer N = 139,k50 where k is the hundreds digit, N can NEVER be divisible by which of the following?
Options:
A)2
B)3
C)4
D)6
E)9
Rationale: It is divisible by 2 irrespective of k value as unit digit's value is even(0).
It can be divisible by 3 for k values 2,5,8 as sum will be divisible by 3
It can be divisible by 6 if divisible by 2 and 3.
It can be divisible by 9 for k value 2 as sum will be divisible by 9.
Therefore answer is 4 as number is divisible if last two digits are divisible.In this case 50(No)
Hence answer C
Answer: C
Question: A bike owner buys petrol at Rs 75, Rs. 80 and Rs. 85 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 40000 each year?
Options:
A)Rs 79.8
B)Rs 80.4
C)Rs 85.5
D)Rs 90
E)Rs 60
Rationale: Explanation :
Total quantity of petrol consumed in 3 years = 40000/75 + 40000/80 + 40000/85 litres
= 40000 (1/75 + 1/80 + 1/85 ) = 40000(767/20,400) = 76700/51 litres
Total amount spent = Rs. (3 x 40000) = Rs. 120000.
Average cost = Rs. 120000 x 51/76700
= Rs. 61200/767
= Rs. 79.8
Answer : A
Answer: A
Question: The equation a = 2y2 + 5y - 17, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at a = -5, the equation for l is
Options:
A)+ y + 15 = 0
B)- 3x - 11 = 0
C)+ y - 16.5 = 0
D)- y - 7 = 0
E)+ y + 13.5 = 0
Rationale: Is optionC: -3a + y -6.5= 0=c
Answer: C
Question: The average marks obtained by 120 cndidates in a certainexaminationis 35.if the average marks of passed candidate is 39 and that of the failedcandidates is 15,what is the number of candidates who passed the examination
Options:
A)15 years
B)16 years
C)14 years 8 month
D)16 years 2 month
E)19 years 8 month
Rationale: (d) Let No. of passed candidates are x
So, x * 39 + (120 – x) 15= 120 * 35
x = 100
2.(a) Total increase = 8 * 2 = 16 years
So, total age of two women = 35 + 45 +16= 96
Average age of two women=96/2=48 years
3(d) Total decrease = 20 * 2 = 40 month
= 3 years 4 month
So, age of new boy = 18 years – 3 years 4 month
= 14 years 8 month
C
Answer: C
Question: What should come next in the following letter sequence?
A A B A B C A B C D A B C D E A B C D
Options:
A)T
B)E
C)H
D)F
E)V
Rationale: Answer: B)
Answer: B
Question: Find the value of (55 + 113/78) × 78
Options:
A)4423
B)4403
C)4413
D)2403
E)4375
Rationale: =(55 + 113/78) × 78
=(4290 + 113)/78 × 78
=4403/78× 78
=4403
Answer is B.
Answer: B
Question: 3 men can complete a piece of work in 6 days. Two days after they started the work, 3 more men joined them. How many days will they take to complete the remaining work?
Options:
A)2
B)4
C)5
D)6
E)7
Rationale: Explanation:
3 man 1 day work = 1616
3 man 2 days work = 2626
Remaining work = (1 – 2626 ) = 2/3 parts.
6 man together perform the work in 1 day is = 1616 + 1616 = 2626 parts
2626 parts completed in 1 day
2323 parts will b completed in 2 days
Answer:A
Answer: A
Question: If n is a prime number, which of the following could be true
Options:
A)n^n=n
B)n^n/4 = 1^(n-1)
C)(n)(n^n) = is negative
D)n^2+n^3= n^5
E)n^2/4= is even
Rationale: B should be the answer.
2^2/4 = 1^(2-1)
Answer: B