divelab/Sys2Bench huggingface dataset:
Question: Amit and Ananthu can do a work in 15 days and 25 days respectively. Amit started the work and left after 3 days. Ananthu took over and completed the work. In how many days was the total work completed?
Options:
A)28 days
B)20 days
C)23 days
D)25 days
E)27 days
Rationale: Amit’s one day’s work= 1/15
Amit’s 3 day’s work = 1/15 *3 = 1/5
Work left= 1-1/5 = 4/5
Ananthu’s one day’s work= 1/25
Ananthu can do work in = 4/5 *25 = 20/1 days
So total days = 25+3 = 28 days
ANSWER:A
Answer: A
Question: How many 4 digit numbers that do not contain the digit 2 are there?
Options:
A)5832
B)4332
C)6444
D)5854
E)7296
Rationale: Applying combinations....8 * 9 * 9 * 9 = 5832...
8 for first digit...cant be 0 or 2
9 and 9 for 2nd and 3rd....cant be 2
9 for fourth digit cannot be 2
ANSWER: A
Answer: A
Question: If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?
Options:
A)1890
B)2790
C)1990
D)1500
E)1701
Rationale: Let the cost price of an article be Rs. x.
(19% of x) - (12% of x) = 105
19x/100 - 12x/100 = 105 => 7x = 105 * 100
=> x = 1500
Cost price = Rs.1500
Answer: C
Answer: C
Question: The difference between the compound interest and the simple interest accrued on an amount of Rs. 18,000 in 2 years was Rs. 405. What was the rate of interest p.c.p.a. ?
Options:
A)33
B)38
C)37
D)15
E)28
Rationale: Explanation:
Let the rate be R% p.a. Then,
Rate = 15%.
Answer: D) 15%
Answer: D
Question: Look at this series: 664, 332, 340, 170, ____, 89, ... What number should fill the blank?
Options:
A)85
B)97
C)109
D)178
E)184
Rationale: 664/2=332
340/2=170
x/2=89 so x=2*89=178
ANSWER:D
Answer: D
Question: What is the remainder when 9^381 is divided by 5 ?
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: I also agree that the remainder is '4' (using the last digit of the powers of 7). Could we have the official answer please?E
Answer: E
Question: The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 3 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?
Options:
A)45
B)65
C)75
D)89
E)90
Rationale: A + B + C = 3 *84 = 252
A + B + C + D = 4 * 80 = 320 ---- (i)
So, D = 68& E = 68 + 3 = 71
B + C + D +E = 79 * 4 = 316 --- (ii)
From Eq. (i) & (ii)
A-E = 320 – 316 = 4
A = E +4 = 71 + 4 = 75
C
Answer: C
Question: Of the 5 distinguishable wires that lead into an apartment, 2 are for cable television service, and 3 are for telephone service. Using these wires, how many distinct combinations of 3 wires are there such that at least 1 of the wires is for cable television?
Options:
A)6
B)7
C)8
D)9
E)10
Rationale: In these Q, where at least is used, the best is to find none and then subtract from total..
here total ways= 5C3=5!/3!2!=10..
ways where no cable television is used=3c3=1..
therefore ways containing at least one wire of cable tele=10-1=9..
Ans: D
Answer: D
Question: P is 30% more efficient than Q. P can complete a work in 23 days. If P and Q work together, how much time will it take to complete the same work?
Options:
A)9
B)10
C)11
D)13
E)15
Rationale: Work done by P in 1 day = 1/23
Let work done by Q in 1 day = q
q × (130/100) = 1/23
=> q = 100/(23×130) = 10/(23×13)
Work done by P and Q in 1 day = 1/23 + 10/(23×13) = 23/(23×13)= 1/13
=> P and Q together can do the work in 13 days
Option D
Answer: D
Question: In what time will a railway train 20 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
A)6 sec
B)7 sec
C)8 sec
D)9 sec
E)2 sec
Rationale: T = 60/36 * 18/5
= 2 sec
Answer:E
Answer: E
Question: A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is
Options:
A)57
B)67
C)77
D)87
E)97
Rationale: Money collected = (59.29 x 100) paise = 5929 paise.
Number of members = 5929 = 77.
ANSWER :C
Answer: C
Question: What is the total cost of 2 sandwiches at $2.49 each and 4 sodas at $1.87 each?
Options:
A)$3.36
B)$6.85
C)$8.46
D)$10.08
E)$12.46
Rationale: Answer = E
2 * 2.49 + 4 * 1.87
= 2 (2.50 - 0.01) + 4 (2.00 - 0.13)
= 5 + 8 - 0.02 - 0.52
= 13 - 0.54
= 12.46
Answer: E
Question: The ratio of red, yellow, and green jelly beans in a jar is 2:4:5. If the number of jelly beans is increased by 60%, 50%, and 40% respectively, what will be the new ratio?
Options:
A)10:18:27
B)12:25:30
C)14:27:32
D)16:30:35
E)18:34:39
Rationale: The new ratio will be 3.2:6:7=32:60:70=16:30:35.
The answer is D.
Answer: D
Question: If the mean of weight of students in a class of weight 38, 50, 70, 88 and 110 is 71.5 kg, what is the mean of the class if student of weight 50 kg left the class?
Options:
A)72 kg
B)75 kg
C)68.5 kg
D)76.5 kg
E)80.5 kg
Rationale: Mean = (Sum of all weights in class)/(no. students)
M1 = (38+70+88+110)/(4)
= 76.5 kg
Answer =D
Answer: D
Question: If A speaks the truth 70% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time
Options:
A)0.49
B)0.48
C)0.41
D)0.42
E)0.411
Rationale: Explanation:
Probability that A speaks truth is 70/100 = 0.7
Probability that B speaks truth is 60/100 = 0.6
Since both A and B are independent of each other
So probability of A intersection B is P(A) × P(B) =0.7× 0.6 = 0.42
Answer: D
Answer: D
Question: Convert the following into a fraction:1.0%
Options:
A)1/1
B)10/1
C)1/10
D)1/100
E)None of the Above
Rationale: 1.0% =1/1
Answer is A.
Answer: A
Question: If four coins are tossed, the probability of getting two heads and two tails is ?
Options:
A)3/8
B)3/6
C)3/1
D)3/2
E)3/4
Rationale: Since four coins are tossed, sample space = 24
Getting two heads and two tails can happen in six ways.
n(E) = six ways
p(E) = 6/24 = 3/8
Answer: A
Answer: A
Question: The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Options:
A)12
B)75
C)88
D)54
E)15
Rationale: S = (90 + 60)/2
= 75 kmph
Answer: B
Answer: B
Question: A young girl counted in the following way on the fingers of her left hand. She started collang the thumb 1, the index finger 2, the middle finger 3, the ring finger 4, the little finger 5, then reversed direction calling the ring finger 6, the the middle finger 7, the index finger 8, the thumb 9 then back to the index finger for 10, the middel finger for 11, and so on. She counted up to 1993. She ended on her
Options:
A)a) thumb
B)b) the index finger
C)c) the middle finger
D)d) the ring finger
E)e) the little finger
Rationale: Notice the pattern. The thumb lansd up at numbers 1,9,17,25,33,... so every 8th number
By this patter the thumb is also at number 1993 (multiple of 8 + 1)
Hence 1993 has to be thumb
Answer is (A)
Answer: A
Question: At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
Options:
A)88%
B)90%
C)80%
D)87%
E)20%
Rationale: A B C D
90 100 80 100
A D
90 ----- 100
360 ------ ? = 400
500 ------ 400
100 ------- ? => 80%
Answer:C
Answer: C
Question: Twice as many students attend math class compared to people who attend history class. If 2 people began attending history class instead of math class, the ratio of math students to history students would be 1 to 1. How many students total attend these two classes? Hint: No students attend both math and history class.
Options:
A)12
B)16
C)90
D)36
E)None of the Above
Rationale: By checking the answer choices:
Since we have an initial ratio of 2:1, the total count should be divisible by 3.
A. 12/3=4, Math Students = 8, History Students = 4, Since 8-2 is equal to 4+2 this is the correct answer.
B. Out, Since not divisible by 3.
C. 90/3=30, Math Students = 60, History Students = 30, Since 60-2 is not equal to 30+2, this is not the answer.
D. 36/3=12, Math Students = 24, History Students = 12, Since 24-2 is not equal to 12+2 this as well can not be the answer.
E. Since choice A is correct, choice E is not correct.
A is the correct answer.
Answer: A
Question: What is the sum of this series?
1, 3, 5, 7, 9, ...... 99.
Options:
A)1378
B)2988
C)2777
D)26877
E)2500
Rationale: No explanation is available for this question!
ANSWER: E
Answer: E
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Options:
A)3630
B)2881
C)2887
D)9977
E)2212
Rationale: 6300:4200:10500
3:2:5
3/10 * 12100 = 3630.Answer: A
Answer: A
Question: The cost price of a radio is Rs.4500 and it was sold for Rs.3200, find the loss %?
Options:
A)28.9%
B)22%
C)28%
D)45%
E)32%
Rationale: 4500 ---- 1300
100 ---- ? => 28.9%
Answer:A
Answer: A
Question: A committee of three people is to be chosen from 8 married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
Options:
A)469
B)468
C)428
D)248
E)448
Rationale: Total no of ways of choosing a committee =16C3 = 560
No of ways to choose first couple = 8C1 = 8
No of ways to choose 1 person from remaining 14 = 14C1 = 14
Total number of ways of choosing a married couple to be in the same committee = 8*14=112
So, no of ways not choosing a married couple = 560-112=448
ANS:E. 448
Answer: E
Question: Of the teams competing in the world archery championships, Thirty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
Options:
A)10/20
B)30/20
C)13/15
D)17/20
E)13/17
Rationale: Half as manymeans half of EU, then
EU 30%
US 15%
AF 5%
the rest is 50%, answer A
Answer: A
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. 64 percent of the distribution lies within one standard deviation d of the mean. If the shelf’s average life is 7.8 years and the standard deviation is 2.4 years, what percent of the distribution has more than 10.2 years as a shelf’s average life?
Options:
A)15%
B)16%
C)17%
D)18%
E)19%
Rationale: Average = 7.8
SD = 2.4
7.8 - 2.4 < 64% of distribution < 7.8 + 2.4
5.4 < 64% of distribution < 10.2
36% is outside this range.
Given: Distribution is symmetric. So 18% of distribution is less than 5.4 and the other 18% of distribution is greater than 10.2.
Answer: D
Answer: D
Question: By selling an article at Rs.600, a profit of 25% is made. Find its cost price?
Options:
A)322
B)480
C)287
D)192
E)107
Rationale: Explanation:
SP = 600
CP = (SP)*[100/(100+P)]
= 600 * [100/(100+25)]
= 600 * [100/125] = Rs.480
Answer: B
Answer: B
Question: What is the sum of all possible solutions to |x - 4|^2 + |x - 4| = 12 ?
Options:
A)3
B)4
C)5
D)6
E)7
Rationale: Denote |x - 4| as y: y^2 + y = 12 --> y = -4 or y = 3. Discard the first solution since y = |x - 4|, so it's an absolute value and thus cannot be negative.
y = |x - 4| = 3 --> x = 7 or x = 0. The sum = 7.
Answer: E.
Answer: E
Question: The sum of the even numbers between 1 and k is 79*80, where k is an odd number, then k=
Options:
A)79
B)80
C)81
D)157
E)159
Rationale: The number of terms in this set would be: n=(k-1)/2 (as k is odd)
Last term: k-1
Average would be first term+last term/2=(2+k-1)/2=(k+1)/2
Also average: sum/number of terms=79*80/((k-1)/2)=158*80/(k-1)
(k+1)/2=158*80/(k-1) --> (k-1)(k+1)=158*160 --> k=159
Answer E.
Answer: E
Question: A train 500 m long can cross an electric pole in 50 sec and then find the speed of the train?
Options:
A)76 Kmph
B)54 Kmph
C)72 Kmph
D)34 Kmph
E)36 Kmph
Rationale: Length = Speed * time
Speed = L/T
S = 500/50
S = 10 M/Sec
Speed= 10*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 36Kmph
Answer: E
Answer: E
Question: If a committee of 2 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
Options:
A)20
B)40
C)50
D)80
E)120
Rationale: Each couple can send only onerepresentativeto the committee. Let's see in how many ways we can choose 2 couples (as there should be 2 members) each to send onerepresentativeto the committee: 5C2=10.
But these 2 chosen couples can send two persons (either husband or wife): 2*2=2^2=4.
Total # of ways: 5C2*2^2=40.
Answer: B.
Answer: B
Question: In how many ways can a cricket eleven be chosen out of a batch of 15 players.
Options:
A)1365
B)1452
C)1204
D)4578
E)1852
Rationale: Required number of ways
= 15C 11 = 15C (15-11)
= 15C4
15C4 = 15 * 14 * 13 * 12 / 4 * 3 * 2 *1
= 1365
Ans: A
Answer: A
Question: Two persons start at the same point, walk in opposite directions with 6 km/hr and 6 km/hr respectively.
What is the distance separated after 3 and half hrs?
Options:
A)26.250 km
B)42 km
C)44 km
D)48 km
E)25.250 km
Rationale: As the two persons are moving in the opposite direction, so they will be separateed in 1 hour = 6 + 6 = 12 km.
They will be separated in 3.5 hours = 12 * 3.5 = 42 km
ANSWER:B
Answer: B
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Options:
A)1
B)2
C)3
D)5
E)7
Rationale: DS = 6
US = 4
S = ?
S = (6 - 4)/2 = 1 kmph
Answer: A
Answer: A
Question: The length of rectangle is thrice its breadth and its perimeter is 72 m, find the area of the rectangle?
Options:
A)432
B)212
C)243
D)992
E)212
Rationale: 2(3x + x) = 72
l = 27 b = 9
lb = 27 * 9 = 243
Answer:C
Answer: C
Question: The ratio between the sale price and the cost price of an article is 4:3. What is the ratio between the profit and the cost price of that article?
Options:
A)2:9
B)2:5
C)3:6
D)2:0
E)1:3
Rationale: Let C.P. = Rs. 3x and S.P. = Rs. 4x.
Then, Gain = Rs. x
Required ratio = x : 3x = 1:3
Answer:E
Answer: E
Question: When a random experiment is conducted, the probability that event A occurs is 1/3. If the random experiment is conducted 5 independent times, what is the probability that event A occurs exactly twice?
Options:
A)5/243
B)25/243
C)64/243
D)80/243
E)16/17
Rationale: one case is:
1/3*1/3*2/3*2/3*2/3=2^3/3^5
we have 5!/2!*3!=10 such cases
so, 2^3*10/3^5=80/243
Answer: D.
Answer: D
Question: A man took loan from a bank at the rate of 12% p.a. S.I. After 20 years he had to pay Rs. 1500 interest only for the period. The principal amount borrowed by him was?
Options:
A)625
B)700
C)950
D)825
E)630
Rationale: Principal = (100 * 1500) / (12 * 20)
= Rs.625
Answer: A
Answer: A
Question: The 4 sticks in a complete bag of Pick-Up Sticks are all straight-line segments of negligible width, but each has a different length: 1 inch, 2 inches, 3 inches, and 4 inches, respectively. If Tommy picks a stick at random from each of 3 different complete bags of Pick-Up Sticks, what is the probability Z that Tommy CANNOT form a triangle from the 3 sticks?
Options:
A)11/32
B)13/32
C)15/32
D)17/32
E)19/32
Rationale: In order to form a triangle, the sum of two sides must be greater than the third side.
So we can choose the combination of numbers which will NOT result in a triangle.
Favorable outcomes:
1,1,4 (4>1+1): 3 ways of arriving at this (1,1,4), (1,4,1), (4,1,1) or
1,2,4 (4>1+2): 6 ways of arriving at this (1,2,4), (1,4,2), (2,1,4), (2,4,1), (4,1,2), (4,2,1) which is same as 3!
1,3,4 (4=1+3): 6 ways of arriving at this
2,2,4 (4=2+2): 3 ways of arriving at this
1,1,3 (3>1+1): 3 ways of arriving at this
1,2,3 (3=1+2): 6 ways of arriving at this
1,1,2 (2+1+1): 3 ways of arriving at this
Overall favourable outcomes: 30
Total outcomes: 4*4*4 = 64 (4 ways of choosing a stick from each of the 3 bags)
Probability Z that a triangle is not formed = 30/64 = 15/32
C is the correct option here.
Answer: C
Question: After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member ?
Options:
A)10
B)11
C)22
D)15
E)18
Rationale: i) Let the ages of the five members at present be a, b, c, d & e years.
And the age of the new member be f years.
ii) So the new average of five members' age = (a + b + c + d + f)/5 ------- (1)
iii) Their corresponding ages 3 years ago = (a-3), (b-3), (c-3), (d-3) & (e-3) years
So their average age 3 years ago = (a + b + c + d + e - 15)/5 = x ----- (2)
==> a + b + c + d + e = 5x + 15
==> a + b + c + d = 5x + 15 - e ------ (3)
iv) Substituting this value of a + b + c + d = 5x + 15 - e in (1) above,
The new average is: (5x + 15 - e + f)/5
Equating this to the average age of x years, 3 yrs, ago as in (2) above,
(5x + 15 - e + f)/5 = x
==> (5x + 15 - e + f) = 5x
Solving e - f = 15 years.
Thus the difference of ages between replaced and new member = 15 years.
Answer: D
Answer: D
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required ?
Options:
A)88 feet
B)86 feet
C)84 feet
D)82 feet
E)83 feet
Rationale: Explanation:
We are given with length and area, so we can find the breadth.
as Length * Breadth = Area
=> 20 * Breadth = 680
=> Breadth = 34 feet
Area to be fenced = 2B + L = 2*34 + 20
= 88 feet
Answer: Option A
Answer: A
Question: A truck owner will refuel his vehicle at a rate of 2 gallons of diesel fuel every 5 seconds. If diesel fuel costs $ 1.0 per gallon, how long will it take for the truck owner to refuel his vehicle with $ 50 worth of diesel fuel?
Options:
A)20 seconds
B)2 minute 5 seconds
C)1 minute 20 seconds
D)20 minutes
E)1 hour 20 minutes
Rationale: 2 gal / 5 sec
$1.0 / gal
$50/$1.0 = 50 gal
2 gal / 5 sec with 50 gal = 125 sec
B. 2 minute 5 seconds
Answer: B
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 8 boys when a boy gets any no. of prizes?
Options:
A)3096
B)4092
C)8096
D)4096
E)70
Rationale: Ans.(D)
Sol. In this case, repetitions are allowed, so all the three prizes can be given in 8 ways, i.e. (8 x 8 x 8) ways = 83 ways = 4096 ways Or nr ways = 83 ways = 4096 ways
Answer: D
Question: A taxi company charges $1.25 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90?
Options:
A)4 miles
B)4 1/4 miles
C)4 3/4 miles
D)5 1/2 miles
E)6 1/3 miles
Rationale: If we start out with $4.90 and have to spend $1.25 for the first quarter-mile, we will have $3.65 left to spend on quarter-mile intervals.
Since $3.65/$0.15 = 24.33 we can buy 24.33 more quarter-miles, and will travel 25.33 quarter miles in all:
25.33 × 1/4 =6 1/3 miles.
The correct answer is choice (E).
Answer: E
Question: How many combinations of three letters taken from letters (a, a, b, b, c, c, d) are possible?
Options:
A)12
B)13
C)35
D)36
E)56
Rationale: Combinations only... total 13
So 4C3 for abcd - 4 choices
3 more for aa(b,c or d)
3 more for bb(a,c or d)
3 more for cc(a,b or d)
total 13
(Answer B)
Answer: B
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Options:
A)4551
B)4771
C)4991
D)4881
E)4661
Rationale: Let the sale in the sixth month =x
Then (6435+6927+6855+7230+6562+x)/6 =6500
=> 6435+6927+6855+7230+6562+x =6×6500
=> 34009+x=39000
=> x=39000−34009=4991
Answer is C.
Answer: C
Question: A+B+C+D=D+E+F+G=G+H+I=17 given A=4. Find value of G and H?
Options:
A)2,9
B)3,9
C)1,9
D)4,9
E)5,9
Rationale: A+B+C+D=17
4+2+6+5=17
D=5
D+E+F+G=17
5+3+8+1=17
G=1
G+H+I=17
1+9+7=17
G=1,H=9.
ANSWER:C
Answer: C
Question: The length of the bridge, which a train 160 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Options:
A)766 m
B)156 m
C)215 m
D)156 m
E)156 m
Rationale: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time
= 30 sec. Let the length of bridge be x meters. Then, (160 + X)/30 = 25/2
==> 2(160 + X) = 750 ==> X
= 215 m.
Answer: C
Answer: C
Question: If 3rd December 1999 is Sunday, what day is 3rd January 2000?
Options:
A)Tuesday
B)Thursday
C)Sunday
D)Friday
E)Wednesday
Rationale: 3rd decmber is Sunday
i.e. 10th,17th,24th,31st dec also sunday
so 1st jan =mon,2nd jan=tues and 3rd jan wednesday
ANSWER:E
Answer: E
Question: If a certain number is divided by 9, the quotient, dividend, and divisor, added together, will amount to 69. What is the number?
Options:
A)18
B)28
C)48
D)38
E)54
Rationale: Let x = the number sought.
Then x/9 + x + 9 = 69.
And x = 54.
E
Answer: E
Question: The total weight of six nougat nuggets is 2 oz. What is the average (arithmetic mean) weight of one such nougat nugget?
Options:
A)0.33 oz.
B)0.5 oz.
C)1.8 oz.
D)5 oz.
E)18 oz
Rationale: Average = Total/Number of items
= 2/6 = 0.33.
Hence, A
Answer: A
Question: The total of the ages of Amar, Akbar and Anthony is 45 years. What was the total of their ages three years ago ?
Options:
A)36
B)44
C)66
D)16
E)18
Rationale: Explanation:
Required sum = (45 - 3 x 3) years = (45 - 9) years = 36 years.
Answer: A
Answer: A
Question: Some of 50%-intensity red paint is replaced with 25% solution of red paint such that the new paint intensity is 45%. What fraction of the original paint was replaced?
Options:
A)1/30
B)1/5
C)2/3
D)3/4
E)4/5
Rationale: 45% is 20%-points above 25% and 5%-points below 50%.
Thus the ratio of 25%-solution to 50%-solution is 1:4.
1/5 of the original paint was replaced.
The answer is B.
Answer: B
Question: 8 persons can build a wall 140m long in 42 days. In how many days can 30 persons complete a similar wall 100 m long?
Options:
A)12
B)10
C)8
D)6
E)5
Rationale: Explanation :
More persons, less days(indirect proportion)
More length of the wall, more days(direct proportion)
⇒ 8 × 100 × 42 = 30 × 140 × x
⇒ x = (8 × 100 × 42)/(30 × 140) = (8 × 100 × 14)/(10 × 140) = (8 × 100)/(10 × 10) = 8. Answer : Option C
Answer: C
Question: If 35% of a number is 12 less than 50% of that number, then the number is?
Options:
A)40
B)50
C)60
D)80
E)70
Rationale: Let the number be x. Then,
50% of x - 35% of x = 12
50/100 x - 35/100 x = 12
x = (12 * 100)/15 = 80.
ANSWER:D
Answer: D
Question: The expression (5x-2)/(x-3) is equivalent to which of the following?
Options:
A)(5-2)/3
B)5 – (2/3)
C)5 – (x)/(x+3)
D)5 – (17)/(x+3)
E)5 + (13)/(x+3)
Rationale: Easiest way is to pick any number and put in (5x-2)/(x-3). Then check the options with the same number.
I took x=1 and got E as the answer.
Answer: E
Question: 8 persons a, b, c, ... and h are to be lined up in a row. If a, b, and c adhere always together, how many possible cases are there?
Options:
A)24
B)36
C)480
D)1720
E)4320
Rationale: firstly it is not GEOMETRY but COMBINATIONS, so changing the TAG accordingly..
total 8 are there..
take a,b, and c as one,so total =6..
these 6 can be arranged in 6! ways..
a,b, and c can be arranged within themselves in 3! ways ..
TOTAL = 6!*3!=4320
E
Answer: E
Question: The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
Options:
A)2
B)4
C)6
D)5
E)7
Rationale: A + B + C = 48
B + C + D = 45
A + D = 13
A – D = 3
A + D = 13
2D = 10
D = 5
Answer: D
Question: An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
Options:
A)4.04%
B)4.00%
C)4.14%
D)5.04%
E)None
Rationale: 100 cm is read as 102 cm.
A1 = (100 x 100) cm2 and A2 (102 x 102) cm2.
(A2 - A1) = [(102)2 - (100)2]
= (102 + 100) x (102 - 100)
= 404 cm2.
Percentage error = 404 x 100 % = 4.04%
100 x 100
A
Answer: A
Question: If 8 workers can build 8 cars in 8 days, then how many days would it take 7 workers to build 7 cars?
Options:
A)4
B)7
C)8
D)12
E)14
Rationale: 8 workers can build 1 car per day on average.
1 worker can build 1/8 of a car per day.
7 workers can build 7/8 car per day.
The time required to build 7 cars is 7 / (7/8) = 8 days
The answer is C.
Answer: C
Question: 0, 1, 3, 6, 7, 9, 12, 13, 15, 18, ?.
What number should replace the question mark?
Options:
A)13
B)19
C)12
D)44
E)75
Rationale: B
19
The sequence progresses +1, +2, +3 repeated;
Answer: B
Question: If the speed of a man is 54 km per hour, then what is the distance traveled by him in 25 seconds ?
Options:
A)275m
B)360m
C)375m
D)420 m
E)440 m
Rationale: The distance traveled in 25 sec = 54*(5/18) *25 =375m
ANSWER:C
Answer: C