divelab/Sys2Bench huggingface dataset:
Question: If x is 20 percent more than y and y is 50 percent less than z, then x is what percent of z?
Options:
A)500%
B)250%
C)500/3%
D)125%
E)60%
Rationale: Let's take values of x,y,z which can satisfy given equations.
Let Z= 200, so Y becomes 100 ( since Y is 50% less than Z),
X becomes 120 ( since 20% more than Y)
now req is (X/Z) * 100 = (120/200) *100 = 60 %
ANSWER:E
Answer: E
Question: Find the odd man out
864, 420, 200, 96, 40, 16, 6
Options:
A)420
B)200
C)96
D)40
E)6
Rationale: 6x2+4=16
16x2+8=40
40x2+12=92
92x2+16=200.. and so on.
ANSWER:C
Answer: C
Question: In how many ways can the letters of the word "SUN" be arranged?
Options:
A)4
B)6
C)8
D)10
E)12
Rationale: The total ways of arranging the letters = 3! = 6
The answer is B.
Answer: B
Question: The below sequence is a bit tricky. Can you solve it to find the next number?
5, 25, 325, 4325, ?
Options:
A)56189
B)54367
C)54325
D)53182
E)62819
Rationale: C
54325
Explanation:
Consider 1 = 5
2 = 25
3 = 325
4 = 4325
Then 5 = 54325
See the pattern. With every digit, the previous numbers are added after that digit
So the next number in the series is 54325
Answer: C
Question: The bankerâ€™s discount of a certain sum of money is Rs. 78 and the true discount on the same sum for the same time is Rs. 66. The sum due is
Options:
A)429
B)280
C)360
D)450
E)None
Rationale: Sol.
Sum = B.D. * T.D. / B.D. - T.D. = Rs.[78 * 66 / 78 - 66] = Rs. [78 * 66 / 12] = Rs. 429
Answer A
Answer: A
Question: Jim and John are workers in a department that has a total of 7 employees. Their boss decides that two workers from the department will be picked at random to participate in a company interview. What is the probability that both Jim and John are chosen?
Options:
A)2/21
B)4/21
C)5/21
D)6/21
E)1/21
Rationale: Probability = 2c2/7c2
= 1/21
Answer E
Answer: E
Question: In how many different ways can a group of 4 men and 4 women be formed out of 7 men and 8 women?
Options:
A)2450
B)105
C)1170
D)Cannot be determined
E)None of these
Rationale: Reqd no. of ways = 7C4 × 8C4
= 7×6×5×4/1×2×3×4 × 8×7×6×5/1×2×3×4
= 35 × 70 = 2450
Answer A
Answer: A
Question: Anand and Deepak started a business investing Rs. 34,000 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is?
Options:
A)2777
B)2888
C)8400
D)7000
E)2781
Rationale: Ratio of their shares = 34000 : 35000 = 34:35
Deepak's share = 13800 * 35/69 = Rs. 7000.
Answer: D
Answer: D
Question: number of ways by which 4digit no made where aless than b,bless than c,c less than d where all lies between 1 to 9
Options:
A)1290
B)1296
C)1380
D)1480
E)1580
Rationale: we have to make 4 digit number
in which the format is d> c > b > a
__ __ __ __
1st position can be filled by 6 digits(9, 8, 7, 6, 5, 4)
2nd position can be filled by 6 digits(8, 7, 6, 5, 4, 3)
3rd position can be filled by 6 digits(7, 6, 5, 4, 3, 2)
4th position can be filled by 6 digits(6, 5, 4, 3, 2, 1)
hence every place can be filled by 6 digits,
6* 6* 6* 6 = 1296
ANSWER:B
Answer: B
Question: The length of the longest tape in cm which can be used to measure exactly, the length 100cm; 2m25cm; and 7m80cm is:
Options:
A)30
B)5
C)10
D)36
E)25
Rationale: The three lengths in cm are 100, 225 &780.
HCF of 100, 225 &780 is 5.
Hence, the answer is 5 cm.
ANSWER:B
Answer: B
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 1000 resolutions?
Options:
A)794 m
B)704 m
C)1408 m
D)1860 m
E)1760 m
Rationale: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 1000 resolutions.
= 1000 * 2 * 22/7 * 22.4
= 140800 cm
= 1408 m
Answer: C
Answer: C
Question: Grace has 16 jellybeans in her pocket. She has 8 red ones, 6 green ones, and 2 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Options:
A)4
B)8
C)12
D)13
E)15
Rationale: The worst scenario is when she takes 8 red and 6 green, total of 14 jellybeans, and still doesn't have 3 distinct colors. But the next draw (15th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.
Answer: E.
Answer: E
Question: A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. The height of the cone is :
Options:
A)12 cm
B)14 cm
C)16 cm
D)17 cm
E)None
Rationale: Sol.
Volume of meterial in the sphere = [4/3 ∏ * {(4)³ - (2)²}] cm³
= [4/3 ∏ * 56] cm³
Let the height of the cone be h cm.
Then, 1/3 ∏ * 4 * 4 * h = [4/3 ∏ * 56]
⇔ h = [4 * 56 / 4 * 4] = 14 cm.
Answer B
Answer: B
Question: find value for x from below equation? x + 1 = -4
Options:
A)-5
B)-4
C)4
D)3
E)2
Rationale: 1. Subtract 1 from both sides:
x + 1 - 1 = -4 - 1
2. Simplify both sides:
x = -5
A
Answer: A
Question: Prints a page 50 pg per min .If the printed for 2 hours except 15 min.Where there
was an paper jam,how many page did it print
Options:
A)10,880
B)12,880
C)5,250
D)8,880
E)18,880
Rationale: 50 pages ------->1 min
2 hrs except 15 mints means=2*60=120-15=105 mints
i.e.,105*50=5,250 pages printed.
ANSWER:C
Answer: C
Question: A certain auto manufacturer sold 7% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Options:
A)63,000
B)1,960,000
C)2,030,000
D)2,040,000
E)2,300,000
Rationale: Let's assume in 2006 the manufacturer sold X.
In 2007 he sold X-7/100(X)
If sales in 2006,X= 2.1 million find X-7/100(X)
(2.1 x 10^6)-7/100(2.1 x 10^6)
2100000-147000=1,953,000-----> 1,960,000(approx)
ANSWER:B
Answer: B
Question: Solve the given two equations and find the inequality of X and Y. (a) x^4- 227= 398 and (b) y^2 + 321=346
Options:
A)If x>y
B)If x>y
C)If x<y
D)If x<=y
E)x=y or relationship cannot be established
Rationale: Solution:-
X=+5,-5 and Y= +5,-5
Comparing, we get X=Y, XY.
Therefore, no relationship can be established between X and Y.
E
Answer: E
Question: If f(x)=7x+6 and g(y)=3y^2+ 5y-8 then g(f(x))
Options:
A)96x^2+78x+74
B)857x^2+99x+89
C)852x^2+96x+87
D)147x^2+119x+58
E)852x^2+69x+98
Rationale: g(f(x))=3(7x+6)^2+5(7x+6)-8
=3(49x^2+36+84x)+35x+30-8
=147x^2+119x+58
the answer is D
Answer: D
Question: When positive integer x is divided by positive integer y, the remainder is 6. If x/y = 6.12, what is the value of y?
Options:
A)96
B)75
C)50
D)25
E)12
Rationale: Guys, one more simple funda.
5/2= 2.5
now .5 x2 =1 is the remainder
25/4 = 6.25
now .25x4=1 is the remainder
32/5=6.4
now.4x5 = 2 is the remainder
given x/y = 6.12 and remainder is 6
So .12 X y = 6
hence y= 50
Ans C
Answer: C
Question: An artist wishes to paint a circular region on a square poster that is 2.4 feet on a side. If the area of the circular region is to be 1/2 the area of the poster, what must be the radius of the circular region in feet?
Options:
A)1/pi
B)sqrt(2.88/pi)
C)1
D)2/sqrt(pi)
E)pi/2
Rationale: Area of the poster is 2.4x2.4 = 5.76
1/2 the area = 2.88
pi*r^2 = 2.88
r^2 = 2.88/pi
r = sqrt(2.88/pi) answer (B)
Answer: B
Question: From a point P, on the surface of radius 3 cm, two cockroaches A and B started moving along two different circular paths, each having the maximum possible radius, on the surface of the sphere, that lie in the two different planes which are inclined at an angle of 45 degree to each other. If A and B takes 18 sec and 6 sec respectively, to complete one revolution along their respective circular paths, then after how much time will they meet again, after they start from P?
Options:
A)9 sec
B)18 sec
C)24 sec
D)20 sec
E)23 sec
Rationale: Explanation :
Both the circular paths have the maximum possible radius hence, both have a radius of 3 cm each. Irrespective of the angle between the planes of their circular paths, the two cockroaches will meet again, at the point Q only, which is diametrically opposite end of P.
A will takes 9 seconds to reach point Q, completing half a revolution.
On the other hand, B would have completed 32 of his revolution and it will also reach pointQ simultaneously.
Answer : A
Answer: A
Question: If $5,000 is invested in an account at a simple annual rate of r percent, the interest is $250. When $16,000 is invested at the same interest rate, what is the interest from the investment?
Options:
A)$700
B)$750
C)$850
D)$800
E)$900
Rationale: -> 250/5,000=5% and 16,000*5%=800.
Thus, D is the answer.
Answer: D
Question: Plaudia can choose any two of four different candles and any 8 of 9 different flowers for a centerpiece arrangement. Given these choices, how many candle + flower groupings can she select?
Options:
A)54
B)72
C)96
D)144
E)432
Rationale: Plaudia can choose any two of four different candles and any 8 of 9 different flowers for a centerpiece arrangement. 2 candles from 4 candles: 4C2: 6
8 flowers from 9 flowers: 9C8 : 9
So total grouping
9*6= 54.
Answer is A.
Answer: A
Question: What is the place value of 2 in the numeral 2734?
Options:
A)4500
B)5000
C)2000
D)8000
E)8400
Rationale: Option 'C'
2 * 1000 = 2000
Answer: C
Question: Mary can do a piece of work in 12 days. Rosy is 50% more efficient than Mary. The number of days taken by Rosy to do the same piece of work is?
Options:
A)7
B)8
C)9
D)11
E)10
Rationale: Ratio of times taken by Mary and Rosy = 150:100 = 3:2
Suppose Rosy takes x days to do the work.
3:2 :: 12:x => x= 8 days.
Hence, Rosy takes 8 days to complete the work.
Answer: B
Answer: B
Question: A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 40 paise per sq. metre
Options:
A)s340
B)s780
C)s880
D)s480
E)s980
Rationale: area of the plot=110m*65m=7150sq.m
area of plot excluding gravel=105m*60m=6300sq.m
area of gravel =7150sq.m-6300sq.m =850sq.m
cost of building it = 850sq.m*40
= 34000p
in Rs =34000/100=Rs340
ANSWER:A
Answer: A
Question: A retailer sells 10 shirts. The first 3 he sells for $82,$100 and $90. If the retailer wishes to sell the 10 shirts for an overall average price of over $100, what must be the minimum average price of the remaining 7 shirts?
Options:
A)$100.00
B)$104.00
C)$110.00
D)$115.00
E)$119.00
Rationale: First 3 shirts are sold for $82,$100 and $90=$272.
To get average price of $100,total sale should be 10*$100=$1000
So remaining 7 shirts to be sold for $1000-$272=$728
Answer should be 728/7=$104.00 that is B
Answer: B
Question: Billy read 2 books. He read the first one in one week with 25 pages everyday. He read the second book in 12 days with 23 pages everyday. What is the total number of pages that Billy read?
Options:
A)670 pages
B)442 pages
C)451 pages
D)553 pages
E)344 pages
Rationale: Pages read in the first book in one week which is 7 days with 25 pages everyday.
25* 7 = 175 pages
Pages read in the second book in 12 days with 23 pages everyday.
23* 12 = 276 pages
Total number of pages read
175 + 276 = 451 pages
correct answer C
Answer: C
Question: A contract is to be completed in 46 days sad 117 men were said to work 8 hours a day. After 33 days, (4/7) of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day?
Options:
A)91
B)87
C)85
D)81
E)None of them
Rationale: Remaining work = (1-(4/7) =(3/7)
Remaining period = (46 - 33) days = 13days
Let the total men working at it be x.
Less work, Less men	(Direct Proportion)
Less days, More men	(Indirect Proportion)
More Hours per Day, Less men	(Indirect Proportion)
Work (4/7): (3/7)
Days 13:33 } : : 117: x
Hrs/day 9 : 8
Therefore (4/7) x 13 x 9 x x =(3/7) x 33 x 8 x 117 or x=(3 x 33 x 8 x 117)/(4 x 13 x 9)=198
Additional men to be employed = (198 - 117) = 81.
Answer is D.
Answer: D
Question: The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Options:
A)20 years
B)21 years
C)18 years
D)29 years
E)30 years
Rationale: 9 * 2 = 18 years
Answer:C
Answer: C
Question: John throws a coin until a series of three consecutive heads or three consecutive tails appears. What is the probability that the game will end after the third throw?
Options:
A)1/4
B)2/16
C)3/16
D)7/16
E)9/16
Rationale: Let's consider the routes that would lead to ending the game on the fourth toss. In order to be a win at that point, tosses #2#3#4 would all have to be the same, either H or T, and in order for the game NOT to end on the third toss, the first toss would have to be different from the other four. Thus, the only two possible sequences are
T-T-T ----> P = (1/2)^3 = 1/8
H-H-H ----> P = (1/2)^3 = 1/8
Either one of these would satisfy the condition, so we could have one or the other. OR means add in probability.
1/8 + 1/8 = 2/8 = 1/4
Answer(A).
Answer: A
Question: To fill a tank, 200 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to four-fifths of its present ?
Options:
A)50
B)100
C)150
D)200
E)250
Rationale: Let the capacity of 1 bucket = x.
Then, the capacity of tank = 200x.
New capacity of bucket = 4/5 x
Therefore, Required number of buckets = (200x)/(4x/5)
= (200x) x 5/4x
= 1000/4
= 250
Answer is E.
Answer: E
Question: A photographer is to take group photographs of a class of students for the school magazine such that each photograph should have five students. If there are four girls and four boys in the class and each photograph must not have two girls or two boys standing together, how many different photographs can the photographer take?
Options:
A)80
B)288
C)44
D)576
E)288^2
Rationale: Case-1: 3 Boys and 2 Girls are taken
Selection of 3 boys and 2 girls can be done in 4C3 * 4C2
Arrangement will look like B G B G B and Such arrangement of 5 individual can be done in desired manner in 3!*2! ways = 12 ways
No. of arrangement = 4C3 * 4C2 *3!*2! = 4*6*12 = 288
Case-2: 2 Boys and 3 Girls are taken
Selection of 2 boys and 3 girls can be done in 4C2 * 4C3
Arrangement will look like G B G B G and Such arrangement of 5 individual can be done in desired manner in 3!*2! ways = 12 ways
No. of arrangement = 4C2 * 4C3 *3!*2! = 4*6*12 = 288
Total Ways of Taking Photograph of 5 in desired manner = 288 + 288 = 576 ways
Answer: Option D
Answer: D
Question: Arabica coffee costs $0.6 per ounce while Robusta coffee costs $0.5 per ounce. If the blend of Arabica and Robusta costs $0.55 per ounce, what is the share of Arabica in this blend?
Options:
A)20%
B)24%
C)30%
D)50%
E)40%
Rationale: a= amount of arabica coffee
1-a = amount of robusta coffee. because if you subtract a from the 1 ounce, the remaining amount is robusta
therefore:
.6a + .5(1-a) = .55
.6a + .5 - .3a = .55
a= .5
therefore: .5/1 ounce = 50%. Therefore, the answer should be D
Answer: D
Question: A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?
Options:
A)1217
B)1219
C)1210
D)1212
E)1312
Rationale: π (232 – 122) = 1210
Answer:C
Answer: C
Question: A local bank that has 18 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 18 codes?
Options:
A)3
B)4
C)5
D)6
E)7
Rationale: Pick any two integer.
Integers: 12
Code: 11, 12, 21, 22 = 4 Codes
Add one more integer: 3
13, 31, 33, 23, 32 = 5 Codes
Add one more integer: 4
44, 14, 41, 24, 42, 34, 43 = 7 Codes
Add one more integer: 5
55, 15, 51, 25, 52, 35, 53,54,45 = 9 Codes
Total = 25 Codes. Enough.
Answer: C
Answer: C
Question: Which of the following inequalities is equivalent to 40 + 6x > -3x - 11x + 20?
Options:
A) x < 1
B) x < -1
C) x < 3
D) x < -3
E) x < 4
Rationale: You can work with the inequality in the same way as you do when you have the equal to sign. You can take terms to the other side by flipping their sign, you can multiply/divide the inequality by the same term on both sides of the equation etc.
The only important thing to note is the following:
When you multiply/divide by a negative number, the sign of the inequality flips.
To illustrate,
40 + 6x > -3x - 11x + 20
40 + 20 > - 20x (Correct)
60 > - 20x (Correct)
-3 > x (Correct)
the correct option is D
Answer: D
Question: Find the average of the first 21 natural numbers?
Options:
A)8
B)9
C)10
D)11
E)12
Rationale: Average of the first 'n' natural numbers = (n + 1)/2
We get (21+ 1)/2 = 11
ANSWER:D
Answer: D
Question: For a finite sequence of non zero numbers, the number of variations in the 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, -6?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: The questions basically asks: how many pairs of consecutive terms are there in the sequence such that the product of these consecutive terms is negative.
1*(-3)=-3=negative;
-3*2=-6=negative;
5*(-6)=-30=negative.
So there are 3 pairs of consecutive terms.
Answer: C.
Answer: C
Question: 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How
many days will 5 women and 10 children take to complete the work?
Options:
A)6 days
B)7 days
C)8 days
D)9 days
E)None of these
Rationale: Explanation:
1 woman's 1 day's work = 1/70
1 Child's 1 day's work = 1/140
5 Women and 10 children 1 day work =
(570+10140)=17
So 5 women and 10 children will finish the work in 7 days
Answer: B
Answer: B
Question: Peter traveled the entire 50 miles trip. If he did the first 12 miles of at a constant rate 36 miles per hour and the remaining trip of at a constant rate 48 miles per hour, what is the his average speed, in miles per hour?
Options:
A)20mph
B)24mph
C)30mph
D)38mph
E)40mph
Rationale: Average speed=sum of distance/sum of time. If he travelled the first 12 miles at 36 miles/hr, it would take 0.3 hr. For the remaining trip, if he went at 48 miles/1hr, it would take 1 hour. Then, the average speed is 50miles/(0.3+1)hrs=38miles/1hr.
Therefore, the answer is D.
Answer: D
Question: During a special promotion, a certain filling station is offering a 10 percent discount on gas purchased after the first 10 gallons. If Kim purchased 15 gallons of gas, and Isabella purchased 25 gallons of gas, then Isabella‟s total per-gallon discount is what percent of Kim‟s total per-gallon discount?
Options:
A)80%
B)100%
C)116.7%
D)120%
E)180%
Rationale: Kim purchased 15 gallons of gas. She paid for 10 + 0.9*5 = 14.5 gallons, so the overall discount she got was 0.5/15 = 3.33%.
Isabella purchased 25 gallons of gas. She paid for 10 + 0.9*15 = 23.5 gallons, so the overall discount she got was 1.5/25 = 6%.
6 is 6/3.33*100 = 180% of 3.33.
Answer: E.
Answer: E
Question: What is the least number of squares tiles required to pave the floor of a room 6 m 75 cm long and 4 m 5 cm broad?
Options:
A)15
B)20
C)40
D)44
E)54
Rationale: Length of largest tile = H.C.F. of 675 cm and 405 cm = 135 cm.
Area of each tile = (135 x 135) cm2.
Required number of tiles =675 x 405/(135^2)= 15
ANSWER:A
Answer: A
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
A)2354
B)2644
C)2645
D)4577
E)5184
Rationale: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
E
Answer: E
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 36 hours respectively. The ratio of their speeds is?
Options:
A)3:6
B)6:3
C)4:9
D)4:4
E)4:2
Rationale: Let us name the trains A and B.
Then, (A's speed) : (B's speed)
= âˆšb : âˆša = âˆš36 : âˆš9 = 6:3.Answer: B
Answer: B
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
Options:
A)62.5
B)69.5
C)62.3
D)62.1
E)62.4
Rationale: CP = 47.50
SP = 47.50*(125/100) = 59.375
MP*(95/100) = 59.375
MP = 62.5
Answer:A
Answer: A
Question: The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability that 3 of Sam’s 4 funds grew by at least 10% over last year?
Options:
A)6C3 / 10C4
B)6C3 * 4C1 / 10C4
C)6C3 * 4C1 / 10P4
D)6P3 * 4P1 / 10C4
E)6P3 * 4P1 / 10P4
Rationale: Total funds = 10
>10% = 6
<10% = 4
Question: Prob to pick 4 funds (3>10% and 1> 10%)
Option 1: Pick 3 out of 6 = 6C3 = 20
Option 2: Pick 1 out of 4 = 4C1 = 4
Total # = 4C10 = 210
Probability = Option1∗Option2/Total
or "B"
Answer: B
Question: A person buys an article at $200. At what price should he sell the article so as to make a profit of 10%?
Options:
A)240
B)260
C)220
D)300
E)360
Rationale: C
220
Cost price = $200
profit = 10% of 200 = $20
Selling price = Cost price + Profit
= 200 + 20 = 220
Answer: C
Question: Four of the following five parts numbered (a), (b), (c), (d) and (e) are exactly equal. The number of the part which is not equal to the other four parts is your answer.
Options:
A)2x2 – 3xy + y2
B)(2x + y)(x – y)
C)(x – y)2 + x(x – y)
D)(2x – y)2 – x(2x – y)
E)(2x – y)2 – 2x2 + xy
Rationale: Other parts are equal to
2x2 + y2 – 3xy.
Answer B
Answer: B
Question: A retailer buys a radio for Rs 225. His overhead expenses are Rs 30. He sellis the radio for Rs 300. The profit percent of the retailer is
Options:
A)10%
B)50%
C)25%
D)17.6%
E)None of these
Rationale: Explanation:
cost price = (225 + 30) = 255 sell price = 300
gain = (45/255)*100 = 17.6%. Answer: D
Answer: D
Question: what is the sum of the first 10 odd natural numbers
Options:
A)300
B)400
C)500
D)600
E)100
Rationale: sum of first n odd natural nuber is = n^2
so sum of the first 10 odd natural numbers=(10)^2=100
ans 100
ANSWER:E
Answer: E
Question: Albert borrowed a total of $ 6000 from Brian and Charlie. He paid simple interest at the rate of 7 % Per yr and 9 % per yr respectively.At the end of three years he paid $ 1400 as total interest. What is the interest paid to Brian at the end of three years?
Options:
A)825
B)790
C)795
D)785
E)770
Rationale: Let x be the amount borrowed form Brian. So amount borrowed form Charlie = 6000-x.
1400 = 21/100x + 27/100(6000-x)
=>x = 22000/6.
Interest paid = 3*7/100*22000/6 = 770.
E
Answer: E
Question: A train speeds past a pole in 15 seconds and a platform 100 meter long in 25 seconds. What is length of the train ?
Options:
A)140 meter
B)145 meter
C)150 meter
D)155 meter
E)160 meter
Rationale: Explanation:
Let the length of the train is x meter and Speed of the train is y meter/second
Then x/y = 15 [because distance/speed = time]
=> y = 15/x
x+100/25 =x/15
x=150 meters
So length of the train is 150 meters
ANSWER IS C
Answer: C
Question: A starts business with Rs.3500 and after 10 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Bâ€™s contribution in the Capital ?
Options:
A)24887
B)20778
C)23788
D)31500
E)2811
Rationale: Explanation:
A invested Rs.3500 for 12 months.
Let B joined with investment x. And he invested for 12 - 10 = 2 months.
So there profit ratio = (3500 Ã— 12) : (2x) = 2 : 3
â‡’ x = 31500
Answer: D
Answer: D
Question: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 6 employees to 2 different offices?
Options:
A)64
B)65
C)44
D)43
E)56
Rationale: Each of three employee can be assigned to either of offices, meaning that each has 2 choices --> 2*2*2*2*2*2=2^6=64.
Answer: A.
Answer: A
Question: The average age of M boys is ‘b’ years and of ‘n’ girls ‘c’ years. The average age of all together is?
Options:
A)(mb + nc)/ (m + m) years
B)(mb + nc)/ (n + n) years
C)(mb + nc)/ (m + n) years
D)(mb + nn)/ (m + n) years
E)(mn + nc)/ (m + n) years
Rationale: (mb + nc) / (m+ n)
Answer:C
Answer: C
Question: From the sale of sleeping bags, a retailer made a gross profit of 17% of the wholesale cost. If each sleeping bag was sold for $28, what was the wholesale cost per bag?
Options:
A)3.0
B)3.36
C)23.93
D)25.0
E)31.36
Rationale: Cost price * 1.17 = Selling price --> Cost price * 1.17= $28 --> Cost price = $23.93.
Answer: C.
Answer: C