divelab/Sys2Bench huggingface dataset:
Question: Out of 8 fruits in a basket, 2 are rotten. If two fruits are drawn at random from the basket, the probability of both being rotten is
Options:
A)1/28
B)10/28
C)20/28
D)11/28
E)2/28
Rationale: The number of exhaustive events = 8C2 = 28.
Let E be event of the 2 fruits being rotten. The number of favourable cases are
2C2 = 1 way.
Required probability = 1/28.
ANSWER:A
Answer: A
Question: Set S contains exactly 10 numbers and has an average (arithmetic mean) of 6.2. If one of the numbers in Set S is increased by 7, while all other numbers remain the same, what is the new average of Set S?
Options:
A)6.6
B)6.7
C)6.8
D)6.85
E)6.9
Rationale: Old set S - Total is avg * no of elements = 6.2*10 = 62
If one number is increased by 7 then total increased to 62+7=69
New avg - 69/10 = 6.9.
Hence answer is E.
Answer: E
Question: Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan?
Options:
A)398 km
B)892 km
C)387 km
D)300 km
E)230 km
Rationale: Let the distance travelled be x km.
Total time = (x/2)/30 + (x/2)/25
= 11 => x/60 + x/50 = 11 => (5x + 6x)/300
= 11 => x = 300 km
Answer: D
Answer: D
Question: A motorist travel to a place 150 km away at an average speed of 45 km/hr and returns at 30 km/hr.His average speed for the whole journey in km/hr is
Options:
A)36 km/hr
B)37.5 km/hr
C)35.5 km/hr
D)34.5 km/hr
E)None of these
Rationale: Explanation:
Average speed will be
2xy/x+y km/hr
= {2(45)(30)}/{45+30} km/hr
= 36 km/hr
Answer: Option A
Answer: A
Question: Jolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 10 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?
Options:
A)$506.00
B)$726.24
C)$900.00
D)$920.24
E)$926.24
Rationale: If interest were not compounded in every six months (so if interest were not earned on interest) then we would have (2+3+4)=9% simple interest earned on $10,000, which is $900. So, you can rule out A, B and C right away.
Interest earned after the first time interval: $10,000*2%=$200;
Interest earned after the second time interval: ($10,000+$200)*3%=$300+$6=$306;
Interest earned after the third time interval: ($10,000+$200+$306)*4%=$400+$8+(~$12)=~$420;
Total: 200+306+(~420)=~$726.24.
Answer: B.
Answer: B
Question: Complete the sequence:
49 61 51 63 53 65 55 ?
Options:
A)67
B)68
C)46
D)58
E)66
Rationale: A
67
Alternate numbers increase by 2. 49 become 51 then 53 and so on. Similarly, 61 becomes 63 and then 65.
Answer: A
Question: If c and d are unique prime integers, which of the following must be even?
Options:
A)c−d
B)2c−2d
C)c−2d
D)2c−d
E)cd^2
Rationale: Any number multiplied by 2 has to be an even number
Answer B
Answer: B
Question: How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?
Options:
A)8
B)11
C)12
D)13
E)None of these
Rationale: Explanation:
Required numbers are 24, 30, 36, 42, ..., 96
This is an A.P. in which a = 24, d = 6 and l = 96
Let the number of terms in it be n.
Then tn = 96 a + (n - 1)d = 96
24 + (n - 1) x 6 = 96
(n - 1) x 6 = 72
(n - 1) = 12
n = 13
Required number of numbers = 13.
ANSWER IS D
Answer: D
Question: A meal cost $ 37.50 and there was no tax. If the tip was more than 10 pc but less than 15pc of the price, then the total amount paid should be:
Options:
A)41-43
B)39-41
C)38-40
D)37-39
E)36-37
Rationale: 10%(37.5) = 3.75
15%(37.5) = 5.625
total amount could have been 37.5+3.75 and 37.5+5.625
=> could have been between 41.25 and 43.125
=> approximately between 41 and 43
Answer is A.
Answer: A
Question: Alice and Paul have a plate with 37 cookies on it. They both eat cookies off of the plate every minute. Paul eats two cookies instead of one every third minute. Alice eats three cookies instead of one every fourth minute. How many minutes does it take them to eat all of the cookies?
Options:
A)11 minutes
B)12 minutes
C)13 minutes
D)14 minutes
E)15 mintues
Rationale: Alice eats 7 cookies every 4 minutes. Paul eats 4 cookies every 3 minutes. In 11 minutes, Alice eats 7*2 + 3 = 17 cookies, and Paul eats 4*3 + 2 = 14 cookies, for a total of 14+17 = 31 cookies. In 12 minutes, Alice eats 7*3 = 21 cookies, and Paul eats 4*4 = 16 cookies, for a total of 21+16 = 37 cookies. Thus, the answer is B.
Answer: B
Question: There are 193 items that are members of set U. Of these items, 49 are members of set B, 59 are not members of either of set A or set B, and 25 are members of both sets A and B. How many of the members of set U are members of set A ?
Options:
A)72
B)85
C)110
D)98
E)108
Rationale: You had the answer almost right. The x = 85 refers to ONLY set A.
However what's being asked is how many members are part of set A. This will include:
1. Only Set A
2. Set A and Set B
So the answer is Set A = 85 + Set AB = 85+25= 110
C
Answer: C
Question: Aman started a business investing Rs. 40,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
Options:
A)12:105:118
B)60:105:112
C)12:105:110
D)12:105:112
E)60:105:111
Rationale: Explanation:
Aman : Rakhi : Sagar = (40000 * 36) : (105000 * 30) : (140000 * 24)
= 60:105:112
Answer: B
Answer: B
Question: How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?
Options:
A)11
B)14
C)55
D)77
E)12
Rationale: T = (660 + 165)/54 * 18/5
T = 55
Answer: C
Answer: C
Question: A dozen eggs and 5 pounds of oranges are currently at the same price. If the price of a dozen eggs rises by 3 percent and the price of oranges rises by 6 %. How much more will it cost to buy a dozen eggs and 10 pounds of oranges .
Options:
A)8%
B)9%
C)10%
D)11%
E)5%
Rationale: Say currently both a dozen eggs and 5 pounds of oranges cost $100 (they are at the same price). So, to buy a dozen eggs and 5 pounds of oranges we need $100.
After the increase, the price of a dozen eggs will be $103 and the price of 5 pounds of oranges will be $106. So after the increase, to buy a dozen eggs and 5 pounds of oranges we'll need $209.
Increase = 9%.
Answer: B.
Answer: B
Question: Speed of a goods train is 72 km/hr. This train crosses a 250 meter platform in 26 seconds. Then find the length of goods train.
Options:
A)250 meters
B)260 meters
C)270 meters
D)280 meters
E)290 meters
Rationale: Explanation:
First convert speed from km/hr to m/sec
So, Speed = 72*(5/18) = 20 m/sec
Time = 26 seconds
Let the length of the train be x meters.
We know, Distance = Speed*Time.
[you can remember this formula as remembering DUST = D*ST... Distance=Speed*Time]
x+250 = 20*26
=> x = 270 meters
So length of the goods train is 270 meter
Option C
Answer: C
Question: The total population of a country is 294000, out of which 150000 are males. Out of every 100 males, 98 can read and write, but only 53% of the total population can do so. Find the percentage of women who can read and write.
Options:
A)6.125 %
B)5.125 %
C)6.000 %
D)4.125 %
E)None
Rationale: Answer
Number of men who can read and write = 150000 × (98 ÷ 100) =147000
Number of men and women who can read and write =294000 × (53 ÷ 100) =155820
Number of women who can read and write 155820 - 147000 = 8820
Thus, out of 144000 women 8820 can read and write.
Required percentage = (8820 × 100) ⁄ 144000 %= 6.125
Correct Option: A
Answer: A
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Options:
A)5.78
B)5.71
C)5.76
D)5.73
E)5.75
Rationale: M = 6
S = 1.2
DS = 7.2
US = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
D = 2.88 * 2 = 5.76
Answer: C
Answer: C
Question: The perimeter of an equilateral triangle is 60. If one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 50, then how long is the base of isosceles triangle?
Options:
A)5
B)10
C)15
D)20
E)25
Rationale: The base of the isosceles triangle is 50-20-20= 10 units
The answer is B.
Answer: B
Question: A man can row upstream at 15kmph and downstream at 45kmph. Find the rate of current ?
Options:
A)15km/hr
B)20km/hr
C)10km/hr
D)5km/hr
E)25km/hr
Rationale: Rate of current = 1/2 (45-15) = 15km/hr
Answer is A
Answer: A
Question: There are 1000000 people in city X, out of these 70% people having voting rights and out of those 55% voters votes candidate A and out of them 20% voters are senior citizens.Then find out the number of senior citizens who votes candidate A having voting rights?
Options:
A)8300
B)14500
C)7700
D)13000
E)5900
Rationale: Total number of people having voting rights = 100000; out of those 70% voters votes candidate A = 70000; out of them 55% voters votes candidate A = 38500; out of them 20% voters are senior citizens = 7700
Answer: C
Question: The salary of A, B, C, D, E is Rs. 8000, Rs. 5000, Rs. 11000, Rs. 7000, Rs. 9000 per month respectively, then the average salary of A, B, C, D, and E per month is
Options:
A)Rs. 7000
B)Rs. 8000
C)Rs. 8500
D)Rs. 9000
E)None
Rationale: Answer
Average salary
= 8000 + 5000 + 11000 + 7000 + 9000 / 5
= Rs. 8000
Correct Option: B
Answer: B
Question: In certain code 'QUICK' is written as '178DI' and 'QUOTE' is written as '17953'. How is 'TOKE' written in that code?
Options:
A)183I
B)5954
C)DI71
D)3I89
E)59I3
Rationale: T = 5
O = 9
K = I
E = 3
Answer: E
Answer: E
Question: A certain company retirement plan has arule of 70provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. In what year could a female employee hired in 1987 on her 32nd birthday first be eligible to retire under this provision?
Options:
A)2003
B)2004
C)2005
D)2006
E)2007
Rationale: She must gain at least 70 points, now she has 32 and every year gives her two more points: one for age and one for additional year of employment, so 32 + 2*(# of years) = 70 --> (# of years) = 19 --> 1987+19=2006.
Answer: D.
Answer: D
Question: 17: 71 :: 18 :?
Options:
A)80
B)25
C)36
D)81
E)56
Rationale: Ans 81
Reverse of 18
ANSWER:D
Answer: D
Question: What is the median from the below series 90, 92, 93, 88, 95, 88, 97, 87, and 98
Options:
A)80
B)82
C)92
D)98
E)100
Rationale: Ordering the data from least to greatest, we get:
87, 88, 88, 90, 92, 93, 95, 96, 98
The median quiz score was 92. (Four quiz scores were higher than 92 and four were lower.)
C
Answer: C
Question: Three hoses work to fill a tub at at different rate. Hose W and B, working together, can fill the tub in 6/5 of an hour. Hoses W and C can fill it in 3/2 an hour. Houses B and C can fill it in 2 hours. How long does it take all 3 hoses, working together, to fill the tub?
Edited for accurate solution
Options:
A)3/10
B)2/5
C)1/2
D)1
E)6/5
Rationale: Convert the given time to rate and you will be able to add it up.
Total Rate of W and B = Rate of W + Rate of B = 1/(6/5) = 5/6
Total Rate of W and C = Rate of W + Rate of C = 1/(3/2) = 2/3
Total Rate of B and C = Rate of B + Rate of C = 1/2
Adding all three,
2(Rate of W + Rate of B + Rate of C) = 5/6 + 2/3 + 1/2 = 2
Rate of W + Rate of B + Rate of C = 1 tub/hour
Time taken by all three together to fill up the tub is 1 hour=D
Answer: D
Question: Q(x, y) is the intersection point between the circle (x^2 + y^2 = 4) and the line (y = x +2). Which of the following can be the point Q?
Options:
A)(1, 2).
B)(2, 0).
C)(0, -2).
D)(-2, 0).
E)(2, 2).
Rationale: A quick glance at the options, Q(x, y) and we can see that A and E do not satisfy the circle equation. Now we are left with B, C and D. Now B and C do not satisfy the line equation. So we are just left with D. And thats the answer=D
Answer: D
Question: In a certain game, a player begins with a bag containing tiles numbered 1 through 12, each of which has an equal probability of being selected. The player draws one tile. If the tile is even, the player stops. If not, the player draws another tile without replacing the first. If this second tile is even, the player stops. If not, the player draws a third tile—without replacing either of the first two tiles—and then stops. What is the probability that at the conclusion of the game, the sum of the tiles that the player has drawn is odd?
Options:
A)5/18
B)13/36
C)3/8
D)5/8
E)23/36
Rationale: player begins with containing tiles 1 to 10 and have equal probability of selecting means
Proabability of selecting one number =1/10. here 5 even numbers and 5 odd numbers are there.
Next , player draws one title , if number is even player stops or otherwise title is odd without replacement
player draws second title.
If second title is even , player stops or title is odd without replacement player draws third title.
in third title , without replacement of first and second title, player draws and stops it.
the sum of tilte probability is odd. here two conditions are possible.
1st condition is
1st title is odd+ 2nd title is even stops= probability of selecting one title is 1/10*5c1.
Here are we are not selecting 1st condition as even stops because sum of tile is odd.
Here 5 odd numbers are there we can select 1out of 5 odd numbers.
without replacement of fist we select second tilte is even. is 5/10*5c1/9c1.
here we are selecting one number out of remaining 9 numbers. so probability is 5/18.
we are selecting 1 even number out of 5.
2nd condition is 1stodd without replacement,2nd odd without replacement and 3rd one also odd to get odd as sum of title.
Then probability is 5/10*4/9*3/8=1/12.
Finally sum of probability of two conditions is 5/18+1/12
=3/8.
so option C is correct.
Answer: C
Question: A certain car averages 25 miles per gallon of gasoline when driven in the city and 45 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 50 miles on the highway?
Options:
A)28
B)30
C)33
D)36
E)40
Rationale: 10*1/25 gpm+50*1/45 gpm=1.6=1.5 total gallons
60 total miles/1.5 total gallons=40 average mpg
E. 40
Answer: E
Question: Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:
Options:
A)40
B)80
C)120
D)200
E)210
Rationale: Let the numbers be 3x, 4x and 5x. Then, their L.C.M. = 60x. So, 60x = 2400 or x = 40. The numbers are (3 x 40), (4 x 40) and (5 x 40). Hence, required H.C.F. = 40.Answer : A
Answer: A
Question: On the first day of her vacation, Louisa traveled 200 miles. On the second day, traveling at the same average speed, she traveled 350 miles. If the 200-mile trip took 3 hours less than the 350-mile trip, what was the average speed, in miles per hour?
Options:
A)45
B)55
C)60
D)65
E)50
Rationale: (time)*(rate) = (distance)-->(rate) = (distance)/(time)--> given:(rate) = 200/t = 350/(t+3)-->4/t = 7/(t+3)-->4t+12=7t ---->3t= 12 . t= 4 ---->(rate ) = 200/4 = 50
Answer: E
Answer: E
Question: The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary?
Options:
A)3600
B)4000
C)4500
D)3500
E)2500
Rationale: Manager's monthly salary
= Rs. (1600 * 21 - 1500 * 20) = Rs. 3600
ANSWER A
Answer: A
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average of the team?
Options:
A)23
B)25
C)30
D)22
E)40
Rationale: Let the average of the whole team be x years.
11x - (26 + 29) = 9(x - 1)
= 11x - 9x = 46
= 2x = 46 => x = 23
So, average age of the team is 23 years.
ANSWER A
Answer: A
Question: A train running at the speed of 40 km/hr crosses a pole in 9 sec. What is the length of the train?
Options:
A)100 m
B)150 m
C)187 m
D)167 m
E)197 m
Rationale: Speed = 40 * 5/18 = 100/9 m/sec
Length of the train = speed * time = 100/9 * 9
= 100 m
Answer: A
Answer: A
Question: If a sequence of 8 consecutive odd integers with increasing values has 11 as its 7th term, what is the sum of the terms of the sequence?
Options:
A)12
B)24
C)36
D)48
E)60
Rationale: Let x be the first term.
Then x + 12 = 11 and x = -1
The sum is: x + (x+2) +...+ (x+14) =
8x + 2(1+2+...+7) = 8x + 2(7)(8) / 2 = 8(-1) + 56 = 48
The answer is D.
Answer: D
Question: Mrs. Evans gave a test to her freshmen economics class, which has 30 students enrolled and 25 of them answered question 1 correctly. If 22 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly?
Options:
A)30
B)28
C)26
D)22
E)19
Rationale: Total number of enrolled students = 30
Number of students who did not take test = 5
Hence, number of students who took test = 30 - 5 = 25
Number of students who answered Q2 correctly =22, therefore, all students who took test answered Q2 correctly.
So, number of students who answered Q1 correctly, also answered Q2 correctly = 22.
Number of students who answered both Q1 & Q2 correctly = 22.
ANSWER:D
Answer: D
Question: A person borrows Rs.5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6% p.a for 2 years. Find his gain in the transaction per year.
Options:
A)100
B)150
C)225
D)112.5
E)212.5
Rationale: Explanation :
The person borrows Rs. 5000 for 2 years at 4% p.a. simple interest
Simple interest that he needs to pay = PRT/100=5000×4×2/100=400
He also lends it at 6 % p.a for 2 years
Simple interest that he gets = PRT/100=5000×6×2/100=600
His overall gain in 2 years = Rs.600 - Rs.400 = Rs.200
His overall gain in 1 year = 200/2 = Rs.100
Answer : Option A
Answer: A
Question: A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 75% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?
Options:
A)1000
B)1250
C)1733.33
D)1800
E)2025
Rationale: 300 gallons of water increases capacity by 30% that means
30% is 300 gallons, so 100% would be = 300*100/30= 1000 gallons
Now 1000 +300 gallons is 75% capacity of tank.
so 100% capacity would be= 1300 *100/75= 1733.33
C is the answer
Answer: C
Question: There is an increase of 30% in the production of milk chocolates in Amul Dairy in one month. If now it is 10,400 milk chocolates per month, what was it one month ago?
Options:
A)10,000 chocolates
B)9000 chocolates
C)8000 chocolates
D)7000 chocolates
E)None of these
Rationale: Let one month ago, production be x chocolates.
Then, 130 % of x = 10400
⇒ x = 10400×100/130=8000 chocolates
Answer C
Answer: C
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 2 sec. What is the length of the fast train?
Options:
A)11 1/9 m
B)11 7/4 m
C)11 7/2 m
D)11 7/9 m
E)11 7/7 m
Rationale: Relative speed = (40 - 20) = 20 km/hr.
= 20 * 5/ 18 = 50/9 m/sec.
Length of faster train = 50/9 * 2 = 100/9 = 11 1/9 m.Answer:A
Answer: A
Question: A train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 40 seconds. What is the length of the train in meters?
Options:
A)400 meters
B)1111 meters
C)1777 meters
D)1822 meters
E)None of these
Rationale: Relative speed of the train with respect to the motorbike should be the speed with which the length of the train is covered in 40 secs.
Calculate the relative speed => 100 - 64 = 36 kmph and time is 40 sec = 40/3600 hrs
Distance (in this case the length of the train ) = S*T = 36*40/3600
.4 km or 400meters.
So Answer (A)
Answer: A
Question: In measuring the sides of a rectangle, one side is taken 12% in excess and other 5% in deficit. Find the error percentage in the area calculated from these measurements.
Options:
A)3.5%
B)6.4%
C)3%
D)5%
E)2.6%
Rationale: Say both sides of the rectangle are equal to 100 (so consider that we have a square). In this case the area is 100*100=10,000.
Now, the area obtained with wrong measurements would be 112*95=10,640, which is 6.4% greater than the actual area.
Answer: B.
Answer: B
Question: What Is The Next Number
12 13 15 17 111 113 117 119 123 129 131?
Options:
A)137
B)220
C)129
D)428
E)224
Rationale: 137
These are the first 10 prime numbers (2, 3, 5...) prefixed with a 1
Answer A
Answer: A
Question: Operation#is defined as adding a randomly selected two digit multiple of 4 to a randomly selected two digit prime number and reducing the result by half. If operation#is repeated 10 times, what is the probability that it will yield at least two integers?
Options:
A)0%
B)10%
C)20%
D)30%
E)40%
Rationale: Any multiple of 4 is even.
Any two-digit prime number is odd.
(even+odd)/2 is not an integer. Thus # does not yield an integer at all.
Therefore P=0.
Answer: A.
Answer: A
Question: A and B go around a circular track of length 1800 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
Options:
A)120 sec
B)165 sec
C)186 sec
D)167 sec
E)360 sec
Rationale: Time taken to meet for the first time at the starting point
= LCM { length of the track / speed of A , length of the track / speed of B}
= LCM {1800/ (36 * 5/18) , 1800/ (54 * 5 /18) }
= LCM (180, 120)
=360 sec.
Answer:E
Answer: E
Question: A theater box office sold an average (arithmetic mean) of 64 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 80, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members?
Options:
A)1:2
B)1:4
C)3:7
D)7:12
E)4:5
Rationale: Deviation from the mean for the daytime staff = 80 - 64 = 16.
Deviation from the mean for the evening staff = 64 - 60 = 4.
Thus, the ratio of the number of daytime staff members to the number of evening staff members is 4:16 = 1:4.
The answer is B.
Answer: B
Question: The area of a parallelogram is 288sq m and its altitude is twice the corresponding base. Then the length of the base is?
Options:
A)12
B)9
C)7
D)6
E)5
Rationale: 2x * x = 288 => x= 12
Answer: A
Answer: A
Question: The difference between the compound interest and simple interest on a certain sum at 20% per annum for 2years is $500. Find the sum?
Options:
A)$10000
B)$50000
C)$15200
D)$12500
E)$15000
Rationale: Let the sum be $x
C.I. = x(1+20/100)^2 - x = 35x/100
S.I. = (X*20*2)/100 = 2x/5
C.I.- S.I. = (35x/100)-(2x/5) = 5x/100
5x/100 = 500
x = 10000
Answer is A
Answer: A
Question: 5 is added to a certain number, the sum is multiplied by 5, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 60. What is the number?
Options:
A)21
B)20
C)2
D)30
E)45
Rationale: Let number is X.
When 5 added to it,
= (X+5)
5 multiplied to sum,
= 5 *(X +5)
Now,
= [{5 *(X +5)} /5]
And,
= [{5 *(X +5)} /5] - 5
According to question,
[{5 *(X +5)} /5] - 5 = half of 60
[(5X + 25) /5) = 30 +5
5X + 25 = 35 *5
X + 5 = 7 *1
X + 5 = 7
X = 7 - 5
X = 2
So, required number is: 2.
ANSWER : C
Answer: C