divelab/Sys2Bench huggingface dataset:
Question: A box contains 9 pairs of shoes (18 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?
Options:
A)1/190
B)1/17
C)1/19
D)1/10
E)1/9
Rationale: The problem with your solution is that we don't choose 1 shoe from 18, but rather choose the needed one AFTER we just took one and need the second to be the pair of it. So, the probability would simply be: 1/1*1/17(as after taking one at random there are 17 shoes left and only one is the pair of the first one)=1/17
Answer: B.
Answer: B
Question: {1/(5+√24)}^2 =
Options:
A)a. 16+16√15
B)b. 31- 8√15
C)c. 31+ 10√15
D)d. 49+10√24
E)e. 32 + 4√15
Rationale: =1 / (25 + 10 root24 + 24)
= 1 / (49 + 10 root24)
Multiply numeratordenominator by (49 -10 root24)
= (49 + 10root24)
Answer = D
Answer: D
Question: Rain is falling at a rate of 3 centimeters per hour all over Springfield. Somewhere downtown in Springfield a group of pigeons is waiting for the rain to stop. If the rain filled a round puddle the with a base area of 350 square centimeters and a depth of 13.5 centimeters, how long did the pigeons wait for the rain to stop?
Options:
A)3 hours and 12 minutes.
B)four hours and 30 minutes
C)four hours and 45 minutes
D)five hours and 10 minutes
E)five hours and 30 minutes
Rationale: The volume of the puddle is irrelevant and only height matters since rain fell all over the city.
Thus, it takes only . 13.5 / 3 = 4.5 hours of rain to fill the puddle
Answer is : B, 4 hours and 30 mins
Answer: B
Question: For all real numbers v, an operation is defined by the equation v* = v - v/3. If (v*)* = 24, then v=
Options:
A)45
B)48
C)51
D)54
E)57
Rationale: (v*)* = (v - v/3) - (v - v/3) / 3
24 = 2v/3 - 2v/9 = 4v/9
v = 54
The answer is D.
Answer: D
Question: A company produces 50000 bottles of water everyday. If a case can hold 25 bottles of water .How many cases are required by the company to hold its one day production
Options:
A)2000
B)4500
C)5000
D)8000
E)9000
Rationale: Number of bottles that can be held in a case = 25
Number of cases required to hold 50000 bottles = 50000/25=2000 cases.
So the answer is A =2000
Answer: A
Question: Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 26.1 kg of zinc has been consumed in it?
Options:
A)58 kg
B)60 kg
C)64 kg
D)70 kg
E)None
Rationale: Sol.
For 9 kg Zinc, mixture melted = (9+11) kg.
For 26.1 kg Zinc, mixture, melted = [20/9 x 26.1] kg
= 58 kg.
Answer A
Answer: A
Question: The H.C.F. and L.C.M. of two numbers are 10 and 5040 respectively If one of the numbers is 144, find the other number
Options:
A)400
B)256
C)350
D)420
E)None of these
Rationale: Explanation:
Solve this question by using below formula.
Product of 2 numbers = product of their HCF and LCM
144 * x = 10 * 5040
x = (10*5040)/144 = 350
Option C
Answer: C
Question: The compound and the simple interests on a certain sum at the same rate of interest for two years are Rs.11730 and Rs.10200 respectively. Find the sum?
Options:
A)Rs.17000
B)Rs.17020
C)Rs.17009
D)Rs.17029
E)Rs.17031
Rationale: The simple interest for the first year is 10200/2 is Rs.5100 and compound interest for first year also is Rs.5100. The compound interest for second year on Rs.5100 for one year
So rate of the interest = (100 * 1530)/ (5100 * 1)
= 30% p.a.
So P = (100 * 10200)/ (30 * 2)
= Rs.17000
Answer:A
Answer: A
Question: In what time will a railway train 60 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
= 6 sec
Answer:A
Answer: A
Question: How many distinct integer values of n satisfy the inequality||n-3| + 4| ≤ 17?
Options:
A)15
B)16
C)17
D)18
E)19
Rationale: so i can write this as In-3I+4<=17
or In-3I<=13
so n can have -10 to 16 = 15 true values....
A
Answer: A
Question: sue has 3 apples. Billy has 6 apples. If billy steals all of sues apples and eats 4 how many does he have left?
Options:
A)2
B)5
C)6
D)4
E)8
Rationale: 5 B
Answer: B
Question: In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 60 per square m?
Options:
A)Rs. 52000
B)Rs. 54000
C)Rs. 57000
D)Rs. 59000
E)Rs. 60000
Rationale: Length (l) = 20 m, Breadth (b) = 15 m and Height (h) = 5 m
Total area of the hall to be covered with mat = 2(lb + bh + hl)
= 2(20 * 15 + 15 * 5 + 5 * 20)
=2(300 + 75 + 100)
= 2 * 475
= 950 sq. m
Total expenditure = 60 * 950
= Rs. 57000
C
Answer: C
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
Options:
A)28
B)89
C)36
D)88
E)26
Rationale: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (120 + 120)/12 => x = 10
Speed of each train = 10 m/sec.
= 10 * 18/5 =- 36 km/hr.
Answer: C
Answer: C
Question: What is the remainder when 42*49 is divided by 8?
Options:
A) 1
B) 2
C) 4
D) 5
E) 7
Rationale: we can make use of the rule :
Remainder of { (a * b)/n}} = Remainder of (a/n) * Remainder of (b/n)
Here
Remainder of { 42 * 49)/8}} = Remainder of (42/8) * Remainder of (49/8) = 2 * 1 = 2
Answer :B
Answer: B
Question: The remainder when Q=1+3+3^2+3^3+..........+3^200 is divided 13.
Options:
A)12
B)7
C)0
D)5
E)3
Rationale: Q=1+3+3^2+3^3+..................+3^200
Is a Geometric progression having common ratio as '3' and number of terms as '201'.
Since Sum to n terms in GP = a(r^n-1)/(r-1)
where a=First term and r =common ration
Hence,
1*(3^201 -1 )/(3-1)
Rem of (3^201-1)/2 divided by 13
3^201 -1 /26
WKT, 3^3 = 27 = 26+1
{(26+1)^67 - 1}/26
{1-1}/26
=>0.C
Answer: C
Question: A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.3025 in 3 years. Find the rate percent?
Options:
A)11
B)10
C)28
D)25
E)82
Rationale: Explanation:
2420 --- 605
100 --- ? => 25%
Answer: Option D
Answer: D
Question: Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 1 muffins remained. How many guests did Monica plan on?
Options:
A)3.
B)4.
C)5.
D)6.
E)7.
Rationale: Let x be the number of guests.
Number of muffins prepared = 5x + 2
Number of muffins eaten + Number of muffins remaining = Number of muffins prepared
6(x - 1) + 1 = 5x + 2
6x - 5 = 5x + 2
x = 7
Answer: E
Answer: E
Question: Nine children — A, B, C, D, E, F, G, H, and I — are going to sit in nine chairs in a row. Child C must be somewhere to the left of child D. How many possible configurations are there for the children?
Options:
A)155,880
B)164,770
C)173,660
D)181,440
E)192,550
Rationale: The number of ways to seat 9 people is 9! = 362,880.
Child C will sit to the left of Child D in exactly half of these arrangements.
The total number of possible arrangements is 362,880/2 = 181,440
The answer is D.
Answer: D
Question: A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.42 per bag, and 25-pound bags $32.25	per bag. If a customer is to buy at least	65 pounds of the grass seed,	but no more than 80 pounds,	what is the least possible cost of the grass seed that the customer will buy?
Options:
A)$94.03
B)$96.75
C)$98.78
D)$98.77
E)$105.3
Rationale: there can be 2 cases
1)25+25+10+5=$98.77 or
2)25+25+25=$96.75
D
Answer: D
Question: A 300 metre long train crosses a platform in 39 seconds while it crosses a post in 18 seconds. What is the length of the platform?
Options:
A)300m
B)200m
C)250m
D)350m
E)400m
Rationale: Length of the train = distance covered in crossing the post = speed × time = speed × 18
Speed of the train = 300/18 m/s = 50/3 m/s
Time taken to cross the platform = 39 s
(300+x)/(50/3) = 39 s where x is the length of the platform
300+x = (39 × 50) / 3 = 650 meter
x = 650-300 = 350 meter
Answer is D.
Answer: D
Question: Of the 150 employees at company X, 70 are full-time, and 100 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?
Options:
A)20
B)40
C)50
D)80
E)100
Rationale: 150 employees
70 are full-time
100 have worked at company X for at least a year
20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year.
How many full-time employees of company X have worked at the company for at least a year?
150-70=80 employees not full time
80-20= 60 employees not full time who worked over a year
100 employees have worked at company X for at least a year-60 employees not full time who worked over a year = 40 full-time employees of company X have worked at the company for at least a year
ans B
Answer: B
Question: Consider a lady took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 6300
interest only for the period. The principal amount borrowed by her was
Options:
A)Rs. 2000
B)Rs. 17500
C)Rs. 15000
D)Rs. 20000
E)None of these
Rationale: Explanation :
Principal = Rs. (100×6300 / 12×3)
=> Rs. 17500.
Answer : 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)11
B)18
C)44
D)13
E)19
Rationale: π (152 - 132) = 176
176 * 1/4
= Rs.44
Answer: C
Answer: C
Question: Four milkmen rented a pasture. A grazed 24 cows for 3 months; B 10 for 5 months; C 35 cows for 4 months and D 21 cows for 3 months. If A's share of rent is Rs. 360, find the total rent of the field.
Options:
A)3750
B)1625
C)4250
D)2250
E)3250
Rationale: Ratio of shares of A, B, C, D = (24 x 3) : (10 x 5) : (35 x 4) : (21 x 3) = 72 : 50 : 140 : 63.
Let total rent be Rs. x. Then, A’s share = Rs. (72x)/325
(72x)/325=360 = x=(360 x 325)/72 = 1625
Hence, total rent of the field is Rs. 1625.
Answer is B.
Answer: B
Question: In how many different number of ways a combination of 3 boys and 2 girls can be selected from 6 boys and 5 girls.
Options:
A)20
B)40
C)46
D)48
E)50
Rationale: 6C3
= 6!/(3! . 3!)
= (6 × 5 × 4)/(3 × 2)
= 5 × 4 = 20.
A)
Answer: A
Question: Into a dark room there are 16 beverage bottles: 12 of them are black and 4 of them are green, placed randomly. What is the probability to choose two of different color, if I go twice to the dark room to seek for a bottle?
Options:
A) 1/8
B) 1/16
C) 1/25
D) 1/5
E) 2/5
Rationale: We are told that we have 16 bottles, 12 black and 4 green. The bottles are picked up simultaneous and randomly, B1 and B2, in different colors. There are two acceptable outcomes: 1) B1 is black and B2 is green; 2) B1 is green and B2 is black. Let's go: 1) B1 = (12/16)(4/15)= 1/5 chance of this happening. 2) B2 = (4/16)(12/15) = 1/5 chance of this happening. Then: (1/5)+(1/5)= 2/5, chance of getting the result that you wanted. Answer E.
Answer: E
Question: 90% of the population of a village is 36000. The total population of the village is?
Options:
A)26799
B)24000
C)26682
D)29973
E)40000
Rationale: X * (90/100) = 36000
X = 400 * 100
X = 40000
Answer: E
Answer: E
Question: Which of the following has 150^8 as a factor?
Options:
A)150^6
B)300^4
C)400^8
D)600^6
E)900^8
Rationale: Here 150^8 = 30^8 * 50^8 Only Option E has both .
Smash E
Answer: E
Question: A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 9 days, how long will a woman take to complete the work?
Options:
A)12days
B)15days
C)16days
D)24days
E)18days
Rationale: Explanation:
(1 Man + 1 woman + 1 boy)’s 1day’s work = 1/3
1 man’s 1 day work = 1/6
1boy’s 1 day’s work = 1/9
(1 Man + 1 boy) ‘s 1 day’s work = 1/6 + 1/9 = 5/18
Therefore, 1 woman’s 1 day’s work = 1/3 – 5/18 = 1/18
Therefore, the woman alone can finish the work in 18 days.
Answer: Option E
Answer: E
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is:
Options:
A)8408
B)8402
C)8400
D)2888
E)84198
Rationale: Ratio of their shares = 22500 : 35000 = 9:14
Deepak's share = 13800 * 14/23 = Rs. 8400.
Answer: C
Answer: C
Question: A AND B CAN TOGETHER FINISH A WORK IN 30 DAYS. THEY WORKED TOGETHER FOR 20 DAYS AND THEN B LEFT. AFTER ANOTHER 20 DAYS, A FINISHED THE REMAINING WORK. IN HOW MANY DAYS A ALONE CAN FINISH THE JOB?
Options:
A)40
B)50
C)54
D)60
E)NONE OF THESE
Rationale: (A+B)'S 20 DAYS WORK=(1/30*20)=2/3. REMAINING WORK=(1-2/3)=1/3.
NOW, 1/3 WORK IS DONE BY A IN 20 DAYS.
WHOLE WORK WILL BE DONE BY A IN (20*3)=60 DAYS.
CORRECT OPTION:D
Answer: D
Question: Set P consists of integers {3, -8, Y, 19, -6} and set B consists of integers {k, -3, 0, 16, -5, 9}. Number L represents the median of set P, number M represents mode of set B and number Z = L^M. If Y is an integer greater than 21, for what value of k will Z be a divisor of 26?
Options:
A)-2
B)-1
C)0
D)1
E)2
Rationale: P = {3,-8,Y,19,-6}
B = {k,-3,0,16,-5,9}
Y > 21
So L = Median of P = 3
M = Mode of Set B
Z = (3)^M
If Z is a divisor of 26, (3)^M = 1 because 26 does not have 3 as a factor
=> M = 0
Hence k = 0, as M is mode and 0 will be the most frequently occuring number in set B.
Answer - C
Answer: C
Question: A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?
Options:
A)288 km
B)188 km
C)600 km
D)388 km
E)188 km
Rationale: D = 30 * 5 = 150
RS = 40 – 30 = 10
T = 150/10 = 15
D = 40 * 15 = 600 km
Answer:C
Answer: C
Question: What sum of money put at C.I amounts in 2 years to Rs.8800 and in 3 years to Rs.9261?
Options:
A)7945
B)8877
C)2877
D)2678
E)1011
Rationale: 8800 ---- 461
100 ---- ? => 5.238%
x *105.238/100 * 105.238/100 = 8800
x*1.1075=8800
x=8800/1.1075 => 7945.70
Answer: A
Answer: A
Question: An air-conditioning unit costs $470. On December there was a discount for Christmas of 16%. Six months later, the holiday season was over so the company raised the price of the air-conditioning by 16%. How much will an air-conditioning unit cost in November?
Options:
A)$458
B)$470
C)$472
D)$484
E)$491
Rationale: Price after discount and again raising by 16%= 470 * 82/100 * 116/100
We don't really need to multiply the whole expression. The units digit of this expression will be '8' , and only option A has 8 as units digit.
Hence A is the answer
Answer: A
Question: One side of a rectangular field is 15m and one of its diagonal is 17m. Find the area of field?
Options:
A)110
B)120
C)130
D)140
E)150
Rationale: Other side = [(17 x 17) - (15 x 15)] = (289 - 225) = 8m
Area = 15 x 8 =120 sq. m ANSWER :B
Answer: B
Question: If a > 1, which of the following is equal to (2a - 6)/(a^2 - 4a + 3)?
Options:
A)a
B)2/(a - 1)
C)a + 3
D)2a/(a - 3)
E)(a - 1)/2
Rationale: Here's the algebraic approach:
(2A - 6)/(A^2 + 2A - 3) can be rewritten as...
2(A -3)/(A-3)(A-1)
We can simplify the fraction, which leaves us with...
2/(A-1)
Ans : B
Answer: B
Question: At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number Q of different possible seating arrangements for the group?
Options:
A)5
B)10
C)24
D)32
E)120
Rationale: Circular arrangements= (n-1)!
Hence (4!) = 24=Q
Answer is C
Answer: C
Question: In a box of 9 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
Options:
A)2/9
B)3/10
C)4/11
D)5/12
E)6/13
Rationale: # defective pens = 3
# good pens = 6
Probability of the 1st pen being good = 6/9
Probability of the 2nd pen being good = 5/8
Total probability = 6/9 * 5/8 = 5/12
The answer is D.
Answer: D
Question: 90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 40% of the total school population of x students, what is x?
Options:
A)125
B)150
C)225
D)250
E)500
Rationale: 90 = (x/100)*(# boys)
# boys = .4x
substitute and solve:
90 = (x/100)*(.4x)
9000 = .4(x^2)
25000 = x^2
x=150
Answer: B
Answer: B
Question: What is the radius of a circle that has a circumference of 3.14 meters?
Options:
A)2.5
B)2
C)1.5
D)1
E)0.5
Rationale: Circumference of a circle = 2πr.
Given, circumference = 3.14 meters.
Therefore,
2πr = Circumference of a circle
or, 2πr = 3.14.
or, 2 ? 3.14r = 3.14,[Putting the value of pi (π) = 3.14].
or, 6.28r = 3.14.
or, r = 3.14/6.28.
or, r = 0.5.
Answer: 0.5 meter.
correct answer E
Answer: E
Question: Find the cost of 96 shares of $ 10 each at (3/4) discount, brokerage being (1/4) per share.
Options:
A)1012
B)912
C)412
D)812
E)712
Rationale: Cost of 1 share = $ [(10-(3/4)) + (1/4)] = $ (19/2).
Cost of 96 shares = $ [(19/2)*96] = $ 912.
Answer B.
Answer: B
Question: We define that K@J is the product of j number from k in increasing order for positive integers K, J. For example, 6@4=6*7*8*9. If A=2020and B=2120, what is the value E of the ratio A/B?
Options:
A)1/2
B)1/3
C)2/3
D)1/4
E)1/5
Rationale: E-> A/B=20*21*……*39/21*22*….*39*40=20/40=1/2.
Therefore, the answer is A.
Answer: A
Question: A certain computer manufacturing firm last year produced 80 percent of its computers using parts made by its subsidiary company. If the remaining 10,000 computers were produced using parts purchased from another parts manufacturer, how many computers were produced by the computer manufacturing firm altogether?
Options:
A)60000
B)60100
C)60500
D)50000
E)70000
Rationale: 80% parts used of subsidary company, so 20% parts used of other companies.
Now, 20% parts = 10,000 computers
So, 1% parts = 10,000/20
Or, 100% parts = 50,000 computers.
Hence answer is (D)
Answer: D
Question: A woman has two blouses of different colors, two skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?
Options:
A)6
B)12
C)16
D)17
E)18
Rationale: total ways = 2*2*2=8..
now its better to find the ways in which the pink blose and green skirty are together and subtract from total to get the answer..
the ways in which the pink blose and green skirty are together=1*1*2=2..
total ways =8-2=6..
A
Answer: A
Question: it cost a colege 0.70 rs a copy to produce for the homecome football game..if 15000rs are recived for advertisement, homw many copies at .50rs a copy must b sold to make a profit 8000rs/-?
Options:
A)320000
B)340000
C)250000
D)350000
E)370000
Rationale: If x copies are to be made, then
0.5x + 15000 = 0.7x+8000
0.2x = 7000
x= 100*7000/2= 350000
ANSWER:D
Answer: D
Question: Darcy lives 1.5 miles from work. She can walk to work at a constant rate of 3 miles per hour, or she can ride the train to work at a constant rate of 20 miles per hour. If she rides the train, there is an additional x minutes spent walking to the nearest train station, waiting for the train, and walking from the final train station to her work. If it takes Darcy a total of 20 more minutes to commute to work by walking than it takes her to commute to work by riding the train, what is the value of x?
Options:
A)5.5
B)15
C)25.5
D)30
E)60
Rationale: The time it takes Darcy to walk to work is (1.5/3)*60 = 30 minutes
The time it takes Darcy to take the train is (1.5/20)*60 + x = 4.5 + x minutes
It takes 15 minutes longer to walk, so 30 = 4.5 + x + 20
x=5.5 minutes
Answer: A
Answer: A
Question: 90% of the population of a village is 23040. The total population of the village is ?
Options:
A)32256
B)24000
C)24936
D)25600
E)None
Rationale: Answer
∵ 90% of P = 23040
∴ P = (23040 x 100) / 90 = 25600
Correct Option: D
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 30 seconds. What is the length of the train?
Options:
A)500 m
B)620 m
C)872 m
D)150 m
E)765 m
Rationale: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train
= (Speed x Time) = (50/3 * 30) m
= 500 m.
Answer: A
Answer: A
Question: If 15 men, working 9 hours a day, can reap a field in 16 days, in how many
days will 18 men reap the field, working 8 hours a day?
Options:
A)20 day
B)16 day
C)14 day
D)10 day
E)15 day
Rationale: Let the required number of days be x.
More men, Less days (indirect proportion)
Less hours per day, More days (indirect proportion)
Men 18 : 15
Hours per day 8: 9 } : :16 : x
(18 x 8 x x)=(15 x 9 x 16) x=(44 x 15)144 = 15
Hence, required number of days = 15.
Answer is E
Answer: E
Question: A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.241 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
Options:
A)12200
B)11897
C)18799
D)10000
E)12782
Rationale: P(11/10)^4 - P(6/5)^2 = 241
P = 10000
Answer: D
Answer: D
Question: A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age three years back was?
Options:
A)10 years
B)12 years
C)14 years
D)16 years
E)18 years
Rationale: Let the son's present age be x years. Then, (38 - x) = x
2x = 38.
x = 19.
Son's age 3 years back (19 - 3) = 16 years.
D
Answer: D
Question: A man walks at a speed of 3 km/hr and runs at a speed of 9 km/hr. How much time will the man require to cover a distance of 18 km, if he completes half of the distance, i.e., (9) km on foot and the other half by running?
Options:
A)4
B)5
C)6
D)8
E)9
Rationale: Required time = (9)/3 + (9)/9 = 4 hours.
Answer:A
Answer: A
Question: Raj invested in Indigo, HUL and SBI shares at Rs. 300, Rs. 200 and Rs. 5 per share, 100 shares for Rs. 10000. The number of Indigo and HUL shares he bought are respectively
Options:
A)15, 25
B)23, 17
C)17, 23
D)17, 60
E)17, 70
Rationale: let the number of shares of indigo , hul and sbi be x,y and z respectively.
according to the condition total number of shares are 100 i.e x+y+z=100 and total amount is 10000 i.e
it is equal to the sum of the amounts of x shares of indigo(300 rs) , y shares of hul(200 rs) and z shares of sbi (5 rs) i.e 300x+200y+5z=10000 ........on so;ving the above two equations ,we finally get 295x+195y=9500 (z term is to be cancelled by solving since we only need x(indigo) and y(hul)). by substituting options in the final equation we can check the answers ....i.e x=17 and y= 23
ANSWER:C
Answer: C
Question: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 5 (B + G) is ?
Options:
A)Equal to 3
B)Less than 3
C)More than 3
D)Less than 1/3
E)none of these
Rationale: Let number of boys = x
Let number of girls = y
Therefore x/y = B and y/x = G
5(B + G) = 5[(x/y) + (y/x)] = 5[(x2 + y2)/xy] > 5
ANSWER:E
Answer: E
Question: A cube of edge 6 cm is cut into cubes each of edge 2 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to:
Options:
A)1:9
B)1:225
C)1:52
D)1:522
E)None
Rationale: Sol.
Required ratio = 6 * 2 * 2 / 6 * 6 * 6 = 1/9 = 1:9.
Answer A
Answer: A
Question: X and Y together do a piece of work in 8 days. If X alone can do the same work in 12 days, then Y alone can do the same work in?
Options:
A)15 days
B)20 days
C)24 days
D)30 days
E)23 days
Rationale: B = 1/8-1/2 = 1/24
==>24 days
ANSWER C
Answer: C
Question: In a survey of parents, exactly 5/6 of the mothers and 3/4 of the fathers held full-time jobs. If 40 percent of the parents surveyed were women, what percent of the parents did not hold full-time jobs?
Options:
A)10%
B)12%
C)15%
D)18%
E)22%
Rationale: Fathers without full-time jobs are 1/4*3/5 = 3/20 of all the parents surveyed.
Mothers without full-time jobs are 1/6*2/5 = 1/15 of all the parents surveyed.
The percent of parents without full-time jobs is 3/20 + 1/15 = 13/60 which is about 22%
The answer is E.
Answer: E
Question: A bag of potatoes weighs 39 lbs divided by half of its weight. How much does the bag of potatoes weight?
Options:
A)20 lb
B)30 lb
C)10 lb
D)13 lb
E)5 lb
Rationale: Sol.
39÷3 = 13.
Answer : D
Answer: D