divelab/Sys2Bench huggingface dataset:
Question: Avg cost of 6 pencils and 8 pens is Rs. 70.The avg cost of 8 pencils and 10 pens is Rs.90. Find the total cost of 25 pencils and 25 pens?
Options:
A)100
B)125
C)130
D)80
E)90
Rationale: Avg cost of 6 pencils and 8 pens is Rs. 70
(6 pencil + 8 pens) 14=70
therefore 1 pencil cost is 70/14=5, so 6 pencil cost is 6x5=30 and 8 pens cost is 8x5=40
Again, avg cost of 8 pencils and 10 pens is Rs.90
(8 pencil + 10 pens) 18=90
therefore 1 pencil cost is 90/18=5, so 8 pencil cost is 8x5=40 and 10 pens cost is 10x5=50
So 25 pencil cost is (25/a)=125 and 25 pens cost is (25x5)=125
ANSWER:B
Answer: B
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Options:
A)30%
B)70%
C)100%
D)250%
E)120%
Rationale: Let C.P. = Rs. 100. Then, profit = Rs. 320, S.P. = Rs. 420
New C.P. = 125% of Rs. 100 = Rs. 125.
New S.P. = Rs. 420
Profit = 420 - 125 = Rs. 295
Required percentage = 295/420 * 100 = 1475/21 = 70%
ANSWER:B
Answer: B
Question: On the Richter scale, which measures the total amount of energy released during an earthquake, a reading of x-1 indicates one-tenth the released energy as is indicated by a reading of x. On that scale, the frequency corresponding to a reading of 7 is how many times as great as the frequency corresponding to a reading of 5?
Options:
A)10^2
B)10^3
C)10^4
D)10^5
E)10^6
Rationale: If Richter scale reading goes from X-1 to X it will be 10
if Richter scale reading goes from 5 to 6 it will be 10
Similarly if Richter scale reading goes from 6 to 7 it will be 10
so it will from 5 to 7 i.e 6,7 = 10*10 = 10^2
Answer is A
Answer: A
Question: In a group of 100 people,50 like reading books,20 like both reading books and listening songs. How many like listening songs?
Options:
A)40
B)50
C)70
D)60
E)None
Rationale: Make a Venn diagram, and enter your data.
Let the number of people who like Listening Songs be x
x + 20 + 30 = 100
x = 50
so number who like Listening Songs = 20+50 = 70
Answer C
Answer: C
Question: There are 6 baskets numbered from 1 to 6 and filled with apples . 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. If there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end?
Options:
A)90
B)91
C)210
D)790
E)910
Rationale: Total number of apples in the basket initially = 1000
Each child picks up = 1+2+3+4+5+6 = 6*7/2 = 21
Total number of apples picked up by 10 children = 21*10 = 210
Number of apples left in the end = 1000-210 =790
Answer is D
Answer: D
Question: A man whose bowling average is 12.4, takes 3 wickets for 26 runs and there by decreases his average by 0.4. the number of wickets taken by him before his last match is?
Options:
A)23
B)24
C)25
D)26
E)27
Rationale: 12.4*x+26=(3+x)12
solve equation x=25
ANSWER:C
Answer: C
Question: Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 6358, how much amount did Raghu invest ?
Options:
A)1287
B)2200
C)2000
D)1129
E)1192
Rationale: Let money invested by Raghu = Rs. x
Money invested by Trishul = 9/10 x = 0.9x
Money invested by Vishal = 9/10x * 110/100 = 0.99x
Also, x+0.9x+0.99x = 6358
= x= 6358/2.89 = 2200
Therefore, amount invested by Raghu is Rs. 2200.
Answer: B
Answer: B
Question: For any integer p, *p is equal to the product of all the integers between 1 and p, inclusive. How many prime numbers are there between *7 + 3 and *7 + 7, inclusive?
Options:
A)None
B)One
C)Two
D)Three
E)Four
Rationale: 7! = 720 * 7 = 5040
# in question = 5043, 5044, 5045, 5046, 5047
none of these are prime
Answer - A
Answer: A
Question: What is the ratio of 6/7 to the product 3*(7/3)?
Options:
A)3:7
B)1:3
C)3:21
D)6:49
E)3:49
Rationale: 6/7 / 21/3 = 6/49...
IMO option D.
Answer: D
Question: Mars travels around the Sun at an approximate speed of 14.4 miles per second. This speed is how many kilometers per hour? (1 km = 0.6 miles)
Options:
A)64,200
B)75,300
C)86,400
D)97,500
E)108,600
Rationale: The speed is 14.4 miles/s. Then 14.4/0.6 = 24 km/s
24*3600 = 86,400 kph
The answer is C.
Answer: C
Question: If -1 < h < 2, which of the following has the greatest value?
Options:
A)a) 1-h
B)b) 1+h
C)c) 1+h^2
D)d) 1-1/h
E)e) 1-1/(h^2)
Rationale: easiest way of solving this would be to substitute a value.
lets say h= - 1/2
a) 3/2
b) 1/2
c) 5/4
d) 3
e) - 3
the value you chose is wrong . h cannot be 0.9 as -1<h<0. if you chose -0.9 answer will still be D.
Answer is C.
Answer: C
Question: Nine men and nine women have to sit around a circular table so that no 2 women are together. In how many ways can that be done?
Options:
A)5!*6!
B)6!*6!
C)5!*7!
D)6!*7!
E)8!*9!
Rationale: The number of arrangements of n distinct objects in a row is given by n!.
The number of arrangements of n distinct objects in a circle is given by (n-1)!.
The difference between placement in a row and that in a circle is following: if we shift all object by one position, we will get different arrangement in a row but the same relative arrangement in a circle. So, for the number of circular arrangements of n objects we have: n!/n=(n-1)!
Now, 9 men in a circle can be arranged in (9-1)! ways and if we place 9 women in empty slots between them then no two women will be together. The # of arrangement of these 9 women will be 9! and not 8! because if we shift them by one position we'll get different arrangement because of the neighboring men.
So the answer is indeed 8!*9!.
E
Answer: E
Question: x =2.5 3.5 1.5
y= 25 49 9 then what is the relation between x and y
Options:
A)Y=(2*X)^2
B)Y=(2*X)^3
C)Y=(2*X)^4
D)Y=(3*X)^2
E)Y=(4*X)^2
Rationale: Y=(2*X)^2
25=(2*2.5)^2
ANSWER:A
Answer: A
Question: A question paper has 2parts, A & B, each containing 10 questions. If a student has to choose 8 from part A &5 from part B, in how many ways can he choose the questions?
Options:
A)1020
B)1100
C)1140
D)1150
E)1140
Rationale: There 10 questions in part A out of which 8 question can be chosen as = 10C8.
Similarly, 5 questions can be chosen from 10 questions of Part B as = 10C5.
Hence, total number of ways,
=10C8*10C5
=[10!/(2!8!)]*[10!/(5!*5)]
= {10*9/2}*{10*9*8*7*6/(5*4*3*2*1)}
= 1140.
E
Answer: E
Question: A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 17 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
Options:
A)1/10
B)3/10
C)1/2
D)27/100
E)9/100
Rationale: C+M+B-CM-MB-CB-2CMB = 100
C - cake buyers, M - muffin and B - Bread buyers. CM,MB,CB and CMB are intersecting regions.
the question asks for people who have bought only bread mixes = B-CB-MB-2CMB has to be found out.
50 + 40 + B-CB-MB-17-2CMB = 100
B-CB-MB-2CMB = 27
hence the probability = 27/100
D
Answer: D
Question: How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
Options:
A)99
B)18
C)16
D)10
E)15
Rationale: 30 * 33/2 = 5/2 * 2 * x => x
= 99
Answer:A
Answer: A
Question: A toy store sells small, medium, large, and super-large toy trucks in each of the colors red, blue, black, green, orange, and yellow. The store has an equal number of trucks of each possible color-size combination. If Paul wants a medium, red truck and his mother will randomly select one the trucks in the store, what is the probability that the truck she selects will have at least one of the two features Paul wants?
Options:
A)1/3
B)2/5
C)3/5
D)3/8
E)11/24
Rationale: Probability of NOT selecting medium out of 4 sizes = 3/4
Probability of NOT selecting red out of 6 colours = 5/6
Total probability of NOT selecting red and medium = (3/4)*(5/6) = 5/8
Required probability = 1 - 5/8 (this will select at least one of red and medium)
= 3/8
The answer is D.
Answer: D
Question: In honor of the year 2012, a donor has purchased 2016 books to be distributed evenly among the elementary schools in a certain school district. If each school must receive the same number of books, and there are to be no books remaining, which of the following is NOT a number of books that each school could receive?
Options:
A)18
B)36
C)42
D)51
E)56
Rationale: All options other than 'D' are factors of 2012. Hence, 'D' is the answer
Answer: D
Question: Find the number of square tiles to cover the floor of a room measuring 3.5 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Options:
A)408
B)476
C)472
D)471
E)445
Rationale: 3 * 8 1/2 = 1/4 * 1/4 * x => x
= 408
Answer:A
Answer: A
Question: 7 people average age is 30. youngest person age is 3. find average of the people when youngest was born.
Options:
A)23
B)24
C)25
D)26
E)27
Rationale: average age of people =30
so have total age =210
before 7 years we have to deduct each person age by seven years 210-21=189
so average age would be 189/7=27
ANSWER:E
Answer: E
Question: A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is
Options:
A)27
B)87
C)40
D)18
E)17
Rationale: Explanation:
Let distance = x km and usual rate = y kmph.
Then, x/y - x/(y+3) = 40/60 --> 2y (y+3) = 9x ----- (i)
Also, x/(y-2) - x/y = 40/60 --> y(y-2) = 3x -------- (ii)
On dividing (i) by (ii), we get:
x = 40 km.
Answer: C
Answer: C
Question: The function F(n) is defined as the product of all the consecutive positive integers between 3 and n^2, inclusive, whereas the function G(n) is defined as the product of the squares of all the consecutive positive integers between 1 and n, inclusive. The exponent on 2 in the prime factorization of F(3)/G(3) is
Options:
A)	1
B)	2
C)	3
D)	4
E)	5
Rationale: F(3)/G(3)
=product(1 to 3 ^2) / 1.2^2.3^2
=1.2.3.4.5.6.7.8.9/1.4.9
=1.2.3.(2^2).5.(2.3).7.(2^3).9/1.(2^2).9
=1.(2^7).3.5.7.9/1.(2^2).9
Loof for 2^7/2^2=2^5 ----Exponent 3
Answer: C
Answer: C
Question: The average of 7 consecutive numbers is 20. The largest of these numbers is
Options:
A)12
B)27
C)23
D)28
E)11
Rationale: Let the numbers be x, x + 1, x + 2, x + 3, x + 4, x + 5 and x + 6,
Then (x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6)) / 7 = 20.
or 7x + 21 = 140 or 7x = 119 or x =17.
Latest number = x + 6 = 23.
Answer: C
Answer: C
Question: On the xy co-ordinate plane, point C is (5,-1) and point D is (-1,2.5). The point on line segment CD that is twice as far from C as from D is:
Options:
A)(1,-1)
B)(1,1)
C)(2,0.25)
D)(3,0.5)
E)(3,1)
Rationale: We want the point on the line that is twice as far from C as it is from D. We can examine the x and y coordinates separately since they are independent.
*It should be noted that there are two solutions to this problem, one point between C and D, and another point with D in the middle of C and the point. We can quickly look at the answer choices and see that all the points are between C and D, therefore we can search for that point using the following method:
Taking the x-coordinate first, the distance between C and D is |(x-coordinate of C) - (x-coordinate of D)|= |5 - (-1)| = 6
The x-coordinate that is twice as far from C as it is from D (and in between C and D) will be 4 units from C and 2 units from D. So the x coordinate of the point we're looking for is 5-4 = 1, or (-1)+2 = 1.
Now looking at the y-coordinate, we do the same thing. The distance between C and D is |(-2) - 2.5| = 4.5
The y-coordinate that is twice as far from C as it is from D (and in between C and D) will be 3 units from C and 1.5 units from D. So the y coordinate of the point we're looking for is (-2)+3 = 1, or 2.5-1.5 = 1.
So now we have our coordinates of the point on the line that is twice as far from C as it is from D: (2,0.25)
Answer: C
Answer: C
Question: A ladies hostel had provision of food for 120 women for 35 days. After 10 days, 25 women left the hostel. The number of days for which the remaining food will last is:
Options:
A)39.47
B)39
C)39.23
D)39.74
E)39.64
Rationale: Explanation :
After 10 days : 120 women had food for 25 days.
Suppose 95 women had food for x days.
Now, Less women, More days (Indirect Proportion)
95 : 150 :: 25 : x
=> 95 x x = 150 x 25
=> x = 150 x 25 / 95
=> x = 39.47
Answer : A
Answer: A
Question: A basket contains 10 bananas and 20 mangoes out of which 3 bananas and 5 mangoes are spoiled. If we choose two fruits at random, what is the probability that either both are mangoes or both are non spoiled?
Options:
A)309/435
B)311/433
C)316/401
D)314/501
E)316/435
Rationale: Let A be the event of getting two oranges and
B be the event of getting two non-defective fruits.
and be the event of getting two non-defective oranges
= 316/435
E
Answer: E
Question: With out any halt a train travels a certain distance with an average speed of 75 km ph , and with halts it covers the same distance at an average speed of 60 kmph. When it is traveling with halts, how many
minutes/per hour does the train halt on an average ?
Options:
A)48 min
B)12min.
C)15min.
D)18min.
E)20min
Rationale: With halt in 1 hour the train travels 60km
With out halt for traveling same distance it take 60/75 = 4/5 = 48 minutes
:. 12 minutes is the halting time per hour
Answer: B
Answer: B
Question: How many two-element subsets of {1,2,3,4} are there that do not contain the pair of elements 2 and 4?
Options:
A)One
B)Two
C)Four
D)Five
E)Six
Rationale: {1,2}, {1,3}, {1,4}, {2,3}, {3,4}.
Or: C24−1=5
Answer: D.
Answer: D
Question: 8 man's increases average weight by 2.5 kg when a new man comes in place of one of them weighing 65 kg. What might be the weight of the new man?
Options:
A)85 kg
B)70 kg
C)75 kg
D)90 kg
E)79 kg
Rationale: Total weight = (8 x 2.5) kg = 20 kg.
Weight - new man = (65 + 20) kg = 85 kg
ANSWER A
Answer: A
Question: During 2001, a stock lost 60 percent of its value. During the following year, the stock's value increased by 200 percent. Which of the following is the percent change in the stock's value during those two years?
Options:
A)60 percent decrease
B)40 percent decrease
C)20 percent increase
D)60 percent increase
E)140 percent increase
Rationale: Let the value of the stock in 2000 be 100, then in 2001 its value would be 100*(1-60/100)=100*0.4=40 and in 2002 its value would be 40*(1+200/100)=120. Hence during those two years the value of the stock increased from 100 to 120, so by 20%.
Answer: C.
Answer: C
Question: Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Options:
A)1/15
B)1/16
C)1/11
D)1/10
E)1/12
Rationale: Part of the filled by all the three pipes in one minute
= 1/18 + 1/15 - 1/45 = (5 + 6 - 2)/90 = 9/90 = 1/10
So, the tank becomes full in 10 minutes.
Answer:D
Answer: D
Question: 6,61,212,507,_?
Options:
A)974
B)994
C)954
D)845
E)754
Rationale: (2)3-2=6
(4)^3-3=61
(6)^3-4=212
(8)^3-5=507
(10)^3-6=994
ANSWER:B
Answer: B
Question: John bought a 1-year, $20,000 certificate of deposit that paid interest at an annual rate of 8 percent compounded semiannually. What was the total amount of interest paid on this certificate at maturity?
Options:
A)$1650
B)$1660
C)$2632
D)$1632
E)$2750
Rationale: 8 percent compounded semiannually --> 4% in 6 moths.
For the first 6 moths interest was 4% of $20,000, so $800;
For the next 6 moths interest was 4% of $20,800, so $832
Total interest for 1 year was $800+$832=$1632
Answer : D
Answer: D
Question: The average weight of a group of boys is 20 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Options:
A)12
B)14
C)18
D)24
E)10
Rationale: Let the number off boys in the group originally be x.
Total weight of the boys = 20x
After the boy weighing 35 kg joins the group, total weight of boys = 20x + 35
So 20x + 35 = 21(x + 1) = > x = 14.
ANSWER:B
Answer: B
Question: A wholeseller has $329,864 in her savings account. What is the least amount of money (in whole number of dollars) that he must add to his account if she wants to split this money evenly among his 9 debters?
Options:
A)$1
B)$2
C)$3
D)$4
E)$6
Rationale: To find the least amount the wholeseller should add to her saving account to split the money evenly among his 9 debtors,
he needs to make the total divisible by 9
Simply add the individual digits of the total = 3+2+9+8+6+4 = 32
If you add 4 , the number is divisible by 9 (32+ 4)
Correct Option : D
Answer: D
Question: The altitude drawn to the base of an isosceles triangle is 8 cm and the perimeter is 32 cm. The area of the triangle is
Options:
A)72 cm2
B)60 cm2
C)66 cm2
D)65 cm2
E)None of these
Rationale: Let ABC be the isosceles triangle and AD be the altitude.
Let AB = AC = x. Then, BC = (32 – 2x).
Since, in an isosceles triangle, the altitude bisects the base. So, BD = DC = (16 – x).
In ΔADC, AC2 = AD2 + DC2
⇒ x2 = (8)2 + (16 – x)2
⇒ 32x = 320 ⇒ x = 10.
∴ BC = (32 – 2x) = (32 – 20) cm = 12 cm.
Hence, required area = (1⁄2 × BC × AD)
= (1⁄2 × 12 × 10) cm2 = 60 cm2
Answer B
Answer: B
Question: A salt manufacturing company produced a total of 2500 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
Options:
A)2060
B)3050
C)5550
D)2889
E)2506
Rationale: Total production of salt by the company in that year = 2500 + 2600 + 2700 + .... + 3600 = 36600.
Average monthly production of salt for that year = 36600/12 = 3050.
Answer: B
Answer: B
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Options:
A)6
B)7
C)9
D)5
E)3
Rationale: Speed of train relative to man = 60 + 6 = 66 km/hr.
= 66 * 5/18 = 55/3 m/sec.
Time taken to pass the men = 110 * 3/55
= 6 sec.
Answer: A
Answer: A
Question: A man can do a piece of work in 7days, but with the help of his son, he can finish it in 3days. In what time can the son do it alone?
Options:
A)5
B)4 1/5
C)7 1/2
D)6
E)9 1/2
Rationale: Son's 1day work = 1/3 - 1/7 = 5/21
Son alone can do the work in 21/5days = 4 1/5 days
Answer is B
Answer: B
Question: A man can row downstream at 22 kmph and upstream at 14 kmph. Find the speed of the man in still water and the speed of stream respectively?
Options:
A)13, 3
B)18, 4
C)15, 3
D)14, 4
E)None of these
Rationale: Explanation:
Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.
Given x + y = 22 --- (1)
and x - y = 14 --- (2)
From (1) & (2) 2x = 36 => x = 18, y = 4.
Answer: Option B
Answer: B
Question: A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Options:
A)46
B)47
C)44
D)42
E)41
Rationale: π (152 - 132) = 176
176 * 1/4 = Rs.44
Answer: C
Answer: C
Question: John has 6 friends who want to ride in his new car that can accommodate only 4 people at a time (John plus 3 passengers). How many different combinations of 3 passengers can be formed from John's 6 friends?
Options:
A)3
B)8
C)10
D)15
E)20
Rationale: 6C3 = 20
The answer is E.
Answer: E
Question: 12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required
Options:
A)8 days
B)3 days
C)7 days
D)5 days
E)6 days
Rationale: That is, 1 work done = 12 × 8 × 10
Then, 12 8 × 10 = ? × 15 × 8
? (i.e. No. of men required) = 12 × 8 × 10/15× 10 = 8 days.
A
Answer: A
Question: A man can do a piece of work in 5days, but with the help of his son, he can do it in 3 days. In what time can the son do it alone?
Options:
A)13/2
B)7
C)15/2
D)8
E)9
Rationale: Son's 1day's work = (1/3)-(1/5) = 2/5
The son alone can do the work in 15/2 days
Answer is C
Answer: C
Question: If 60 men can do a piece of work in 25 hours, in how many hours will 15 men
do it ?
Options:
A)100 hours
B)90 hours
C)80 hours
D)70 hours
E)60 hours
Rationale: Let the required number of hours be x. Then,
Less men, More hours	(Indirect Proportion)
15 : 60 : : 25 : x<=>(15 x x) =(60 x 25)<=>(60 x 25)/15 = 100
Hence, 15 men can do it in 60 hours
Answer is A.
Answer: A
Question: The length of the bridge, which a train 150 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
Options:
A)239
B)277
C)225
D)88
E)232
Rationale: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (150 + X)/30
= 25/2 ==> 2(150 + X) = 750 ==> X = 225 m.
Answer: C
Answer: C
Question: The sector of a circle has radius of 21 cm and central angle 144o. Find its perimeter?
Options:
A)80cm
B)82cm
C)90cm
D)94.8cm
E)95cm
Rationale: Perimeter of the sector = length of the arc + 2(radius)
= (144/360 * 2 * 22/7 * 21) + 2(21)
= 52.8 + 42 = 94.8 cm
Answer:D
Answer: D
Question: What is the ratio between perimeters of two squares one having 5 times the diagonal then the other?
Options:
A)5:1
B)3: 1
C)5: 8
D)3: 2
E)8: 3
Rationale: d = 5d d = d
a√2 = 5d a√2 = d
a = 5d/√2 a = d/√2 => 5: 1
Answer:A
Answer: A
Question: A student multiplied a number by	3/5 instead of 5/3. What is the percentage error in the calculation?
Options:
A)54
B)48
C)65
D)25
E)64
Rationale: Let the number be x.
Then, error = 5/3 X - 3/5 X = 16/15 X.
Error % = (16X/15 * 3/5X * 100)% = 64%
Answer E) 64%
Answer: E
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 age of the team ?
Options:
A)17 years
B)88 years
C)23 years
D)15 years
E)12 years
Rationale: Explanation:
Let the average age 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: C
Answer: C
Question: Rob also compared the Empire State Building and the Petronas
Towers. What is the height difference between the two if the Empire
State Building is 464m tall and the Petronas Towers is 472m tall?
Options:
A)9
B)8
C)23
D)45
E)12
Rationale: 472-464=8.Answer is B.
Answer: B
Question: Three friends rani, Bond and gokul divide $1107 amongs them in such a way that if $4, $6 and $8 are removed from the sums that rani, Bond and gokul received respectively, then the share of the sums that they got will be in the ratio of 2 : 4 : 10. How much did gokul receive?
Options:
A)$170
B)$130
C)$150
D)$180
E)$174
Rationale: Explanatory Answer
Let the sums of money received by A, B and C be x, y and z respectively.
Then x - 4 : y - 6 : z -8 is 2a : 4a : 10a
When $4, $6 and $8 are removed, we are removing a total of $18 from $1107.
Therefore, 2a + 4a + 10a = 1107 - 18 = 1089
i.e., 16a = 1089
or a = 68.
We know that z - 10 = 16a = 10 * 16 = 160
Therefore, z = 160 + 10 = $170
The correct choice is (A)
Answer: A
Question: If 10 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days?
Options:
A)78 days.
B)110 days.
C)49 days.
D)48 days.
E)67 days.
Rationale: B
110 days.
From the above formula i.e (m1*t1/w1) = (m2*t2/w2)
so (10*6*88/1) = (6*8*d/1)
on solving, d = 110 days.
Answer: B
Question: think you are driving the car
1 3 5
2 4 ?
Do you know what will come in place of?
hint is Not 6
Options:
A)R
B)6
C)0
D)None of the Above
E)B
Rationale: Correct Answer : A
It represents gear stick, the number 1-5 represents gears and the last one should be reverse gear R
Answer: A