divelab/Sys2Bench huggingface dataset:
Question: A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?
Options:
A)65 sec
B)89 sec
C)100 sec
D)150 sec
E)160 sec
Rationale: Explanation:
Speed =240/24 m/sec = 10 m/sec
Required time =(240+650 /10)sec=89sec
ANSWER IS B
Answer: B
Question: An engagement team consists of a project manager, team leader, and four consultants. There are 3 candidates for the position of project manager, 4 candidates for the position of team leader, and 7 candidates for the 4 consultant slots. If 2 out of 7 consultants refuse to be on the same team, how many different teams are possible?
Options:
A)25
B)35
C)150
D)210
E)300
Rationale: Answer= Total number combinations - Total number of combinations with constraints
Total number of combinations = 3C1*4C1*7C4= 420
Total number of combinations with constraints = 3C1*4C1*5C2=120
Answer=420-120=300
ANSWER: E
Answer: E
Question: A car travels from point A to point B. The average speed of the car is 60 km/hr and it travels the first half of the trip at a speed of 50 km/hr. What is the speed of the car in the second half of the trip?
Options:
A)55
B)60
C)75
D)80
E)90
Rationale: Let D be the distance and let V be the speed in the second half.
The total time = T1 + T2
D/60 = D/100 + (D/2) / V
D/150 = D/2V and so V = 75 km/hr
The answer is C.
Answer: C
Question: Suppose that the numbers 1,2,4,8,16,32,64,128,256
are placed into the nine squares in such a way that
the product of the numbers appearing in any row,
column or diagonal is the same. What is the value
of this common product?
Options:
A)512
B)4096
C)8192
D)16384
E)32768
Rationale: The product of the numbers in all three rows is simply the product of the numbers
1,2,4,8,..,256 or, equivalently, of the numbers 20in zero,21in first,22in round,23in third ,..,28in eighth. The product is
2->0+1+2+...+8 = 236in thirty sixth
so correct answer B
Answer: B
Question: If a#b = ab – b + b^2, then 3#6 =
Options:
A)2
B)8
C)15
D)21
E)48
Rationale: Solution -
Simply substitute 3 and 6 in equation in the place of a and b respectively.
3#6 = 3*6 - 6 + 6^2 = 18 - 6 + 36 = 48. ANS E
Answer: E
Question: The number of boys in a class is (3/2) times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ?
Options:
A)A)48
B)B)44
C)C)42
D)D)40
E)E)38
Rationale: Explanation:
Let number of girls = x and number of boys = 1.5x.
Then, 1.5x + x = 2.5x = total number of students.
Thus, to find exact value of x, the total number of students must be divisible by 2.5.
Answer:D
Answer: D
Question: The average salary of the employees in a office is Rs.120/month.The avg salary of officers is Rs.460 and of non officers is Rs 110. If the no.of officers is 15,then find the No of nonofficers in the office.
Options:
A)234
B)254
C)437
D)450
E)510
Rationale: Let no. of non- officers be x
15 * 460 + x * 110 = (x + 15) 120
x = 510
E
Answer: E
Question: Rs 80000 is divided into two parts One part is given to a person with 10% interest and another part is given to a person with 20 % interest. At the end of first year he gets profit 9000 Find money given by 10%?
Options:
A)30000
B)40000
C)50000
D)60000
E)70000
Rationale: let first parrt is x and second part is y then x+y=80000----------eq1
total profit=profit on x +profit on y
9000=(x*10*1)/100 + (y*20*1)/100
90000=x+2y-----------------------------------eq2
90000=80000+y
so y=10000 then x =80000-10000=70000
first part =70000
ANSWER:E
Answer: E
Question: The amount of time that three people worked on a special project was in the ratio of 2 to 4 to 6. If the project took 144 hours, how many more hours did the hardest working person work than the person who worked the least?
Options:
A)47 hours
B)45 hours
C)48 hours
D)49 hours
E)50 hours
Rationale: Let the persons be A, B, C.
Hours worked:
A = 2*144/12 = 24 hours
B = 4*144/12 = 48 hours
C = 6*144/12 = 72 hours
C is the hardest worker and A worked for the least number of hours. So the difference is 72-24 = 48 hours.
Answer : C
Answer: C
Question: If a fair coin is flipped six times in a row, what is the probability that there will be at least one head and one tail?
Options:
A)3/4
B)11/12
C)15/16
D)31/32
E)63/64
Rationale: The number of possible outcomes is 2^6 = 64
There is one way to get no heads and one way to get no tails.
Thus there are 62 outcomes with at least one head and one tail.
P(at least one head and one tail) = 62/64 = 31/32
The answer is D.
Answer: D
Question: The 120 students in a group are to be seated in rows so that there is an equal number of students in each row. Each of the following could be the number of rows EXCEPT
Options:
A) 4
B) 20
C) 30
D) 40
E) 90
Rationale: Obviously the number of rows must be a factor of 120. The only option which is not a factor of 120 is E (90).
Answer: E.
Answer: E
Question: If 49x = 343^y, which of the following expresses x in terms of y?
Options:
A)(343/49)^y
B)y^(343/49)
C)y^(343-49)
D)7^(3y-2)
E)7^(2y-1)
Rationale: By exponential simplification. 49 = 7^2 and 343=7^3 therefore (7^2)x=(7^3)^y gives x=(7^3y)/(7^2) further simplified to x=(7^3y)(7^-2) which gives x=7^(3y-2) (because exponential is additive in multiplication. i.e. a^b*a^c=a^(b+c). Answer: D
Answer: D
Question: Find the smallest number which when divided by 13 and 15 leaves respective remainders of 2 and 4
Options:
A)187
B)197
C)184
D)219
E)227
Rationale: Let 'N' is the smallest number which divided by 13 and 15 leaves respective remainders of 2 and 4.
Required number = (LCM of 13 and 15) - (common difference of divisors and remainders) = (195) - (11) = 184.
ANSWER:C
Answer: C
Question: A train running at the speed of 54 km/hr crosses a pole in 7 seconds. Find the length of the train.
Options:
A)150 meter
B)105 meter
C)140 meter
D)135 meter
E)None of these
Rationale: Explanation:
Speed = 54*(5/18) m/sec = 15 m/sec
Length of Train(Distance) = Speed * Time
=15*7=105 meter
Option B
Answer: B
Question: At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Options:
A)12
B)11
C)10
D)9
E)5
Rationale: A
12
In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.
Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.
This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.
Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.
Answer: A
Question: There were two candidates in an election. Winner candidate received 70% of votes and won the election by 280 votes. Find the number of votes casted to the winning candidate?
Options:
A)228
B)744
C)490
D)199
E)231
Rationale: W = 70% L = 30%
70% - 30% = 40%
40% -------- 280
70% -------- ? => 280/40*70 = 490
Answer: C
Answer: C
Question: If the area of a circle decreases by 42%, then the radius of a circle decreases by
Options:
A)20%
B)18%
C)24%
D)64%
E)None of these
Rationale: If area of a circle decreased by x % then the radius of a circle decreases by
(100−10√100−x)%=(100−10√100−42)%
= (100−10√58)%
= 100 - 76 = 24%
Answer C
Answer: C
Question: Two pipes X and Y can separately fill a cistern in 18 and 24 hours respectively. If they are turned on alternately for one hour each, how long will it take to fill the cistern?
Options:
A)20 1/2 hours
B)20 1/7 hours
C)22 1/2 hours
D)20 1/3 hours
E)20 3/2 hours
Rationale: 1/18 + 1/24 = 7/72
72/7 = 10 2/7
7/72 * 10 = 35/36 ----- 20 hours
WR = 1 – 35/36 = 1/36
1 h ----- 1/18
? ----- 1/36 = 1/2 hours
=> 20 1/2 hours
Answer: A
Answer: A
Question: How many arrangements of the letters of the word ‘BENGALI’ can be made if the vowels are to occupy only odd places.
Options:
A)334
B)576
C)776
D)297
E)271
Rationale: Explanation:
There are 7 letters in the word Bengali of these 3 are vowels and 4 consonants.
There are 4 odd places and 3 even places. 3 vowels can occupy 4 odd places in \inline {\color{Black}4P_3{}} ways and 4 constants can be arranged in \inline {\color{Black}4P_4{}} ways.
Number of words = \inline {\color{Black}4P_3{}} x \inline {\color{Black}4P_4{}}= 24 x 24 = 576
Answer: B
Answer: B
Question: The 15 homes in a new development are each to be sold for one of three different prices so that the developer receives an average (arithmetic mean) of $200,000 per home. If 4 of the homes are to be sold for $170,000 each and 5 are to be sold for $200,000 each, what will be the selling price of each of the remaining 10 homes?
Options:
A)$200,000
B)$212,000
C)$215,000
D)$220,000
E)$230,000
Rationale: IMO the answer has to be D.
5 houses are being sold for 200,000. 4 houses are being sold for $30,000 less, resulting in a loss of $120,000. To make the average selling price intact i.e. $200,000, the remaining 10 houses must be sold at such a profit that it compensates for the loss of 120,000. Hence 10x=120,000.
x=12,000.
The 10 houses are sold at $12,000 profit or at $212,000. (ANSWER B)
Answer: B
Question: Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?
Options:
A)23
B)23.5
C)24
D)24.5
E)25
Rationale: Let the present ages of sachin and rahul be 7x and 9x
sachin is younger than rahul in 7 years
So 9x-7x=7
2x=7
x=3.5
Sachin;s age= 7x= 7*3.5=24.5
answer :D
Answer: D
Question: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 86. How many points altogether did the team score?
Options:
A)662
B)678
C)652
D)642
E)721
Rationale: 8 * 86 = 688 – 10 = 678
ANSWER:B
Answer: B
Question: The mean of (54,824)^2 and (54,826)^2 =
Options:
A)(54,821)^2
B)(54,821.5)^2
C)(54,820.5)^2
D)(54,825)^2 + 1
E)(54,821)^2 – 1
Rationale: 54824^2 = (54825-1)^2 = 54825^2 + 1^2 - 2*54825*1
54826^2 = (54825+1)^2 = 54825^2 +1^2 + 2*54825*1
Taking the average of above 2 , we get (54825)^2 +1
hence the answer is D
Answer: D
Question: Rahul went to a shop and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Options:
A)15
B)12
C)19.7
D)16
E)18
Rationale: Total cost of the items he purchased = Rs.25
Total tax = 30 paise = 30/100
cost of tax = x
given that tax rate = 6%
(25-30/100-x)6/100=3/100
6(25-0.3-x)=30
x=19.7
ANSWER C
Answer: C
Question: The charge for a single room at Hotel P is 55 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G?
Options:
A)50%
B)60%
C)75%
D)80%
E)100%
Rationale: P = 0.45R = 0.9G
R = 0.9G/0.45 = 2G
Thus R is 100% greater than G.
The answer is E.
Answer: E
Question: There are 16 bees in the hive , then 10 more fly. How many bees are there in all?
Options:
A)7
B)33
C)12
D)17
E)26
Rationale: 16+10=26 . Answer is E.
Answer: E
Question: (723+1992)2-(723-1992)2 / (723×1992)
Options:
A)8
B)6
C)5
D)7
E)4
Rationale: ANSWER:D
Answer: D
Question: Walking at the rate of 3 kmph a man cover certain distance in 3hr 20 min. Running at a speed of 9 kmph the man will cover the same distance in.
Options:
A)45 min
B)50 min
C)40 min
D)48 min
E)54 min
Rationale: Distance = Speed * time
3*10/3 = 10km
New Speed = 9 kmph
Therefore time = D/S = 10/9 = 54min
Answer : E.
Answer: E
Question: What is the average (arithmetic mean) of all the multiples of ten from 10 to 110 inclusive?
Options:
A)60
B)95
C)100
D)105
E)110
Rationale: The multiples of ten from 10 to 110 inclusive would be an evenly spaced set with 11 terms - 10, 20, 30,.......110
So average = (First term + Last Term)/2 = (10 + 110)/2 = 120/2 = 60
Hence, the correct answer is A.
Answer: A
Question: A certain fruit stand sold apples for $0.80 each and bananas for $0.70 each. If a customer purchased both apples and bananas from the stand for a total of $6.50, what total number of apples and bananas did the customer purchase?
Options:
A)8
B)9
C)10
D)11
E)12
Rationale: Let's start with 1 apple for $0.80.
Let's subtract $0.80 from $6.50 until we get a multiple of $0.70.
$6.50, $5.70, $4.90 = 7*$0.70
The customer purchased 7 bananas and 2 apples.
The answer is B.
Answer: B
Question: A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 9 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price
Options:
A)70
B)68
C)66
D)64
E)62
Rationale: Responding to a pm: To solve this question, I will make an equation in x and then make educated guesses. Here's how:
Assuming x motorcycles were sold every month initially.
(568000/x + 1000)(x-9) = 594000
(568/x + 1)(x-9) = 594
Now 568 = 8*71
Assuming x = 71 (We have all integers so it is obvious that 568/x should be an integer.
We get 9*66 = 594 (matches)
So he will sell 71 - 9 = 62 bikes this month
Answer (E)
Answer: E
Question: If John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 6 years would be
Options:
A)(1.5)^4
B)4(1.5)
C)(1.05)^6
D)1 + (0.05)^4
E)1 + 4(0.05)
Rationale: f John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 6 years would be
1(1.05)^6
1.05^6
C. (1.05)^6
Answer: C
Question: A bag contains equal number of Rs.5, Rs.2 and Re.1 coins. If the total amount in the bag is Rs.1152, find the number of coins of each kind?
Options:
A)432
B)288
C)144
D)72
E)152
Rationale: Let the number of coins of each kind be x.
=> 5x + 2x + 1x = 1152
=> 8x = 1152 => x = 144
ANSWER:C
Answer: C
Question: If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 54/r years. If Pat's parents invested $6,000 in a long-term bond that pays 6 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college?
Options:
A) $20000
B) $15000
C) $12000
D) $10000
E) $9000
Rationale: Since investment doubles in 54/r years, then for r=6 it'll double in 54/6=~9 years (we are not asked about the exact amount so such an approximation will do). Thus after 18 years investment will become $6,000*2=$12,000 .
Answer: C.
Answer: C
Question: In a bag of small balls 1/4 are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?
Options:
A)2
B)4
C)6
D)8
E)10
Rationale: Let us first find the fraction of green, blue and yellow balls
1/4 + 1/8 + 1/12 = 6 / 24 + 3 / 24 + 2 / 24 , common denominator
= 11 / 24 , add numerators
The fraction of white balls is given by
24 / 24 - 11 / 24 = 13 / 24
So the fraction 13 / 24 corresponds to 26 balls. If x is the total number of balls then
(13 / 24) of x = 26 balls
or (13 / 24) × x = 26
x = 26 × (24 / 13) = 48 , total number of balls
The fraction of blue balls is 1 / 8 of x. The number of blue balls is given by
(1 / 8) of 48 = 6 balls.
correct answer is C)6
Answer: C
Question: Set M contains numbers that satisfy the condition that, if integer x is in the set then x+3 will also be in the set M. If -4 is one of the value in the set, which of the following numbers must also be present in the set M.
I. 5
II. 2
III. -7
Options:
A)I only
B)II only
C)I and II only
D)II and III only
E)I, II and III
Rationale: Notice that we are askedwhich of the following numbers MUST also be present in the set MnotCOULD be in the set.
Now, if -4 is in the set, then -4+3=-1mustbe in the set. Since -1 is in the set then -1+3=2mustbe in the set.so do 5. Could -7 be in the set? Certainly, but we don't know that for sure.
Answer: C.
Answer: C
Question: An inspector rejects 0.05% of the meters as defective. How many will he examine to reject 4?
Options:
A)4000
B)8000
C)5000
D)4500
E)6000
Rationale: Let the number of meters to be examined be x
Then, 0.05% of x = 4
(5/100)*((1/100)*x = 4
x = 8000
Answer is B
Answer: B
Question: What least whole no. should be added to 532869 to make it divisible by 9?
Options:
A)6
B)7
C)9
D)10
E)12
Rationale: If a number is divisible by 9, the sum of its digits must be a multiple of 9.
Here, 5+3+2+8+6+9=33, the next multiple of 9 is 36.
3 must be added to 532869 to make it divisible by 9
C
Answer: C
Question: If D is the sum of consecutive even integers w, x, y, and z, where w < x < y < z, all of the following must be true EXCEPT
Options:
A)z - w = 3(y - x)
B)D is divisible by 8
C)The average of w, x, y, and z is odd
D)D is divisible by 4
E)w + x + 8 = y + z
Rationale: Just assume that the numbers are 2a, 2a+2, 2a+4 and 2a+6.
D = 2a + 2a+2 + 2a+4 + 2a+6 = 8a + 12
Focus on the easiest options first. You see that D is not divisible by 8. Answer (B)
Answer: B
Question: For a finite sequence of non zero numbers, the number of variations in sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 1, -3, 2, 5, -4, -6 , -8?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: Given sequence: {1, -3, 2, 5, -4, -6, -8}
The questions basically asks: how manypairs of consecutive termsare there in the sequence such that the product of these consecutive terms is negative.
1*(-3)=-3=negative;
-3*2=-6=negative;
2*5=10=positive;
5*(-4)=-20=negative;
(-4)*(-6)=24=positive.
So there are 3 pairs of consecutive terms of the sequence for which the product is negative.
Answer: C.
Answer: C
Question: Line W has the equation 3x + y = 7. Which of the following lines is perpendicular to Line W?
Options:
A) y = 3x + 4
B) y = –3x – 6
C) y = (1/3)x – 1
D) y = (–1/3)x + 2
E) y = (–7/3)x – 5
Rationale: I first rewrote the equation in the standard y=mx+b form. Therefore, Line W as presented, 3x + y = 7, can be rewritten as follows: y=-3x+7.
Thought process next is what line would be perpendicular to Line W? Any line with a reciprocal of the slope but in the opposite direction. The reciprocal of any fraction/integer is 1 over that number/integer. Therefore the reciprocal of -3 is -1/3 - need to drop the negative sign because the line would kinda run parallel and we want perpendicular. Scan the answers choices and notice C as the only one.
Answer: C
Question: A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was.
Options:
A)15000
B)2655
C)16888
D)6677
E)1871
Rationale: Principal = Rs. (100 x 5400)/(12*3) = Rs. 15000.
Answer:A
Answer: A
Question: A can do a work in 30 days, B can do it in 20 days. They together under took to do a piece of work for Rs.1000, what is the share of B?
Options:
A)Rs.500
B)Rs.400
C)Rs.800
D)Rs.600
E)Rs.200
Rationale: Explanation:
Share of their work days = 30:20
Share of their work =20:30
Share of B’s money = 3/5*1000 =600
Answer: Option D
Answer: D
Question: What least number should be added to 1056, so that the sum is completely divisible by 23
Options:
A)4
B)1
C)2
D)3
E)5
Rationale: Explanation:
(1056 / 23) gives remainder 21
21 + 2 = 23, So we need to add 2
Answer: Option C
Answer: C
Question: Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 6% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
Options:
A) 2:9
B) 2:7
C) 1:6
D) 1:1
E) 1:3
Rationale: (10/100)A+(2/100)B = (6/100)(A+B)
4A =4B
=> A/B = 1/1
Answer is D.
Answer: D
Question: In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 56 as quotient. What is the correct quotient ?
Options:
A)0
B)12
C)32
D)20
E)25
Rationale: 12*56=672
672%21=32
ANSWER:C
Answer: C
Question: How many odd numbers between 10 and 1600 are the squares of integers?
Options:
A)9
B)12
C)15
D)18
E)21
Rationale: The numbers are the squares of 5, 7, 9,...,39 which includes 18 numbers.
The answer is D.
Answer: D
Question: How many minutes is it before 12 noon if 16 minutes ago it was three times as many minutes after 9 am?
Options:
A)41 minutes
B)49 minutes
C)40 minutes
D)42 minutes
E)44 minutes
Rationale: A
41 minutes
Answer: A
Question: 1394 x 1394 = ?
Options:
A)A)1951609
B)B)1951601
C)C)1951602
D)D)1943236
E)E)1951604
Rationale: 1394 x 1394	= (1394)2
= (1400 - 6)2
= (1400)2 + (6)2 - (2 x 1400 x 6)
= 1960000 + 36 - 16800
= 1960036 - 16800
= 1943236.
Answer:D
Answer: D
Question: A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?
Options:
A)30
B)31 5/7
C)32
D)33
E)35
Rationale: Required average
= 67 x 2 + 35 x 2 + 6 x 3
2 + 2 + 3
= 134 + 70 + 18
7
=	222
7
= 31 5	years.
7
B)
Answer: B
Question: Which of the following is true about 0<|x|-x<5?
Options:
A)-1<x<0
B)0<x<1
C)1<x<2
D)2<x<3
E)3<x<4
Rationale: when can be |x|-x be greater than 0..
NEVER when x is positive..
ONLY A is left..
you can also substitute any value within the given range to check for answer
Example - put x as -0.5 for A. -1<x<0..
so |x|-x = |-0.5|- (-0.5) = 1 and it satisfies 0<|x|-4x<5
A
Answer: A
Question: If logx y = 10 and log2 x = 1000, what is the value of y?
Options:
A)210002
B)277889
C)210000
D)27788
E)788291
Rationale: Explanation:
log2 x = 1000
=> x = 21000
logx y = 10
=> y = x10
= (21000)10
= 2(1000 × 10)
= 210000
Answer: Option C
Answer: C
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Options:
A)1.5
B)1.8
C)1.6
D)1.3
E)1.1
Rationale: 72 --- 9 DS = 8
? ---- 1
45 ---- 9 US = 5
? ---- 1 S = ?
S = (8 - 5)/2 = 1.5
Answer:B
Answer: B
Question: Factory X's bulbs work for over 5000 hours in 37% of cases, whereas factory Y's bulbs work for over 5000 hours in 75% of cases. It is known that factory X supplies 40% of the total bulbs available. What is the chance that a purchased bulb will work for longer than 5000 hours?
Options:
A)56.4%
B)58%
C)57.4%
D)55%
E)59.8%
Rationale: For X, 40% of 37% will work.
For Y, 60% of 75% will work. *60% is the rest of the bulb supply in the market.
So, the probability that a purchased bulb will work is:
0.40(0.37) = .148
0.60(0.75) = 0.45
The combined probability then is 14.8 + 45 = 59.8%
ANS E
Answer: E
Question: A shop owner sells 30mtr of cloth and gains SP of 10 metres. Find the gain %?
Options:
A)40%
B)45%
C)50%
D)65%
E)70%
Rationale: Here, selling price of 10 m cloth is obtained as profit.
Profit of 10 m cloth = (S.P. of 30 m cloth) – (C.P. of 30 m cloth)
Selling price of 20 m cloth = Selling Price of 30 m of cloth
Let cost of each metre be Rs. 100.
Therefore, cost price of 20 m cloth = Rs. 2000 and S.P. of 20 m cloth = Rs. Rs. 3000
Profit% = 10 × 100 = 50%
20
Profit of 50% was made by the merchant.
C
Answer: C
Question: What least number must be added to 1145, so that the sum is completely divisible by 23 ?
Options:
A)2
B)3
C)4
D)5
E)8
Rationale: 50*23 = 1150
1150 - 1145 = 5
Answer : D
Answer: D
Question: A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is
Options:
A)145
B)185
C)253
D)370
E)None
Rationale: Solution
Let the number be x.
Then 2x = 10 or x = 5. So, the number is either 253 or 352. Since the number increases on reversing the digits, so the hundred's digit is smaller than the units digit.
Hence, required number = 253.
Answer C
Answer: C