divelab/Sys2Bench huggingface dataset:
Question: A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
Options:
A)6 min. to empty
B)6 min. to full
C)9 min. to empty
D)9 min. to full
E)8 min. to full
Rationale: Clearly, pipe B is faster than pipe A and so, the tank will be emptied.
Part to be emptied = 2/5
Part emptied by (A + B) in 1 minute = (1/6 - 1/10) = 1/15
1/15 : 2/5 :: 1 : x
x = (2/5 * 1 * 15) = 6 min.
So, the tank will be emptied in 6 min.
ANSWER:A
Answer: A
Question: If 13 = 13w/(1-w) ,then (4w)2 =
Options:
A)1/4
B)1/2
C)1
D)2
E)4
Rationale: 13-13w=13w
26w=13
w=1/2
4w=2
4w*2=2*2=4
ANSWER:E
Answer: E
Question: The positive number a is w percent greater than the positive number b, which is p percent less than a itself. If a is increased by p percent, and the result is then decreased by w percent to produce a positive number c, which of the following could be true?
I. c > a
II. c = a
III. c < a
Options:
A)I only
B)II only
C)III only
D)I and II only
E)II and III only
Rationale: Let w = 10% then p = 100/11 %
let b = 100 then a = 110
after increasing a by p and decreasing by w we get c= 108
therefore c<a
C it is answer
Answer: C
Question: How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Options:
A)879 meters
B)678 meters
C)500 meters
D)126 meters
E)107 meters
Rationale: Let length of tunnel is x meter
Distance = 800+x meter
Time = 1 minute = 60 seconds
Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s
Distance = Speed*Time
800+x = (65/3) * 60
800+x = 20 * 65 = 1300
x = 1300 - 800 = 500 meters
Answer:C
Answer: C
Question: The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:
Options:
A)400
B)276
C)129
D)176
E)186
Rationale: T.D.
=	B.D. x 100
100 + (R x T)
= Rs. 420 x 100
100 + 15 x	1
3
= Rs. 420 x 100
105
= Rs. 400.
Answer: A
Answer: A
Question: Tom drives from town W to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between W and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in miles per hour?
Options:
A)12
B)20
C)24
D)30
E)36
Rationale: Let's assume that it takes 4 hours to go from point W to B. Then the distance between them becomes 240 which makes distance between B and C 120. (240+120)/(4+x) gives us the average speed which is 36. You find x=6. So the question simplifies itself to 120/6=20
Hence the answer is B.
Answer: B
Question: If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is ?
Options:
A)4/17
B)4/18
C)4/76
D)4/13
E)4/29
Rationale: P(SᴜK)
= P(S) + P(K) - P(S∩K), where S denotes spade and K denotes king.
P(SᴜK)
= 13/52 + 4/52 - 1/52
= 4/13
Answer: D
Answer: D
Question: If 36 men can do a piece of work in 25 hours, in how many hours will 10 men
do it ?
Options:
A)65 hours
B)90 hours
C)30 hours
D)62 hours
E)66 hours
Rationale: Let the required number of hours be x. Then,
Less men, More hours	(Indirect Proportion)
10 : 36 : : 25 : x	(10 x x) = (36 x 25)	(36 x 25)/10 = 90
Hence, 15 men can do it in 60 hours.
Answer is B.
Answer: B
Question: A box contains 100 balls, numbered from 1 to 100. If 3 balls are selected at random and with replacement from the box. If the 3 numbers on the balls selected contain two odd and one even. What is the probability R that the first ball picked up is odd numbered?
Options:
A)	0
B)	1/3
C)	1/2
D)	2/3
E)	1
Rationale: Answer-D
Selecting the balls either Even or Odd is having probability 50/100=1/2
We have already selected 3 balls with 2 odd numbers and 1 even number.
So we have 3 combinations OOE, OEO, EOO. We have 3 outcomes and 2 are favourable as in 2 cases 1st number is odd. So probability R is 2/3.D
Answer: D
Question: Find the odd man out? 3, 7, 15, 17, 22, 27, 29
Options:
A)15
B)17
C)22
D)27
E)0
Rationale: Each of the numbers is odd number except 22. The number 22 is the only even number.
ANSWER: C
Answer: C
Question: To fill a tank, 20 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 one-fifth of its present ?
Options:
A)100
B)200
C)300
D)400
E)500
Rationale: Let the capacity of 1 bucket = x.
Then, the capacity of tank = 20x.
New capacity of bucket = 1/5 x
Therefore, Required number of buckets = (20x)/(1x/5)
= (20x) x 5/1x
= 100/1
= 100
Answer is A.
Answer: A
Question: Priya and Ishita start a business with Rs.15000 each, and after 3 months, Ishita withdraws half of her capital . How should they share the profits at the end of the 15 months?
Options:
A)14:9
B)12:7
C)4:3
D)3:2
E)12:5
Rationale: Priya invests Rs.15000 for 18 months, but Ishita invests Rs.15000 for the first 3 months and then withdraws Rs.7500. So, the investment of Ishita for remaining 15 months is Rs.7500 only.
Priya:Ishita
15000*18 : (15000*3) + (7500*15)
270000 : 157500
Priya:Ishita = 12:7
Answer: B
Answer: B
Question: When a certain shoe store reduces the price of its best-selling style of shoe by 10 percent, the weekly sales of this style increase by 10 percent. Which of the following best describes the resulting change in the store's weekly revenue from sales of this style of shoe?
Options:
A)Revenue decreases by 10%
B)Revenue decreases by 1%
C)There is no change in revenue
D)Revenue increases by 1%
E)Revenue increases by 10%
Rationale: Old price = 10, old sales = 10 --> old revenue = 100;
New price = 9, new sales = 11 --> new revenue = 99.
Revenue decreased by 1%.
Answer: B.
Answer: B
Question: Taylor is making a bracelet. He Starts with 4 blue knots, 6 red knots, and 1 yellow knots, in that order, and repeats the pattern until there is no more string. If the last Knot is yellow which of the following could be the total number of knots on the bracelet.
Options:
A)89
B)90
C)95
D)87
E)102
Rationale: Repeating sequence = 4 + 6 + 1 = 11.
As the pattern ends in Y this could be the 10th thread or 11 thread (both are yellow)
Out of the answer choices, correct on should be a multiple of 11(since 11 threads are repeating) and if not, multiple of 11 + 10 (since 11 threads are repeating and last sequence end at first yellow)
none of the options is a direct multiple of 11 and only option that is multiple of 11; + 10 is 87 (11*7) + 10
Hence, answer is D
Answer: D
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
Options:
A)388
B)190
C)277
D)288
E)261
Rationale: L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 1900 m
T = D/S
T = 1900/10
T = 190 Sec .Answer:B
Answer: B
Question: A cement mixture is composed of 3 elements. By weight, 1/3 of the mixture is sand, 1/2 of the mixture is water, and the remaining 8 pounds of the mixture is gravel. What is the weight of the entire mixture in pounds?
Options:
A)30
B)36
C)42
D)46
E)48
Rationale: Let the total weight be x.
Sand content= (1/3)x
Water content= (1/2)x
Gravel=x-(1/3)x-(1/2)x=(1/6)x=8
x=48
Then answer will be E=48
Answer: E
Question: Out of 10 persons working on a project, 5 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Options:
A)5/7
B)5/3
C)5/1
D)5/6
E)11/12
Rationale: P(at least one graduate) = 1 - P(no graduates)
= 1 - 5C₃/¹⁰C₃ = 1 - ( 5 * 4 * 3)/(10 * 9 * 8)
= 11/12
Answer: E
Answer: E
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Options:
A)8 mins
B)3 mins
C)7 mins
D)9 mins
E)4 mins
Rationale: D = 25 * 60 + 1500
= 3000 m
T = 3000/60 * 18/5
= 180 sec
= 3 mins
Answer:B
Answer: B
Question: A fruit seller had some oranges. He sells 20% oranges and still has 380 oranges. How many oranges he had originally?
Options:
A)475
B)700
C)220
D)400
E)None of these
Rationale: Explanation :
He sells 20% of oranges and still there are 380 oranges remaining
=> 80% of oranges = 380
⇒ (80 × Total Oranges)/100 = 380
⇒ Total Oranges/100 = 4.75
⇒ Total Oranges = 4.75 × 100 = 475
Answer : Option A
Answer: A
Question: Working at their respective constant rates, machine A makes 100 copies in 15 minutes and machine B makes 150 copies in 10 minutes. If these machines work simultaneously at their respective rates for 30 minutes, what is the total number of copies that they will produce?
Options:
A) 250
B) 425
C) 650
D) 700
E) 750
Rationale: Machine A can produce 100 *30/15= 200 copies
And, Machine B can produce 150* 30/10= 450 Copies
Total producing 650 Copies.
C is the answer
Answer: C
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Options:
A)12/458
B)12/451
C)12/455
D)22/455
E)12/459
Rationale: Explanation:
Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
When three marbles are drawn, the probability that one is yellow and two are red
= (Â²Câ‚)(â´Câ‚‚)/Â¹âµCâ‚ƒ
= (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13) = 12/455
Answer:C
Answer: C
Question: A man purchases an electric heater whose printed price is 160 if he received two successive discounts of 20% and 10% he paid:
Options:
A)Rs.620
B)Rs. 115.20
C)Rs.450
D)Rs.120
E)Rs.140
Rationale: Explanation:
Price after 1st discount = 80% of Rs. 160 = Rs. 128
Price after 2nd discount = 90% of Rs. 128 = Rs. 115.20
ANSWER:B
Answer: B
Question: How many of the following numbers are divisible by 132 ?
264, 396, 462, 792, 968, 2178, 5184, 6336
Options:
A)4
B)6
C)7
D)8
E)9
Rationale: 132 = 4 x 3 x 11
So, if the number divisible by all the three number 4, 3 and 11, then the number is divisible by 132 also.
264 11,3,4 (/)
396 11,3,4 (/)
462 11,3 (X)
792 11,3,4 (/)
968 11,4 (X)
2178 11,3 (X)
5184 3,4 (X)
6336 11,3,4 (/)
Therefore the following numbers are divisible by 132 : 264, 396, 792 and 6336.
Required number of number = 4.
A)
Answer: A
Question: A sum of money place at compound interest doubles itself in 2.5 years. In how many years will it amount to eight times itself?
Options:
A)7.5 years
B)15 years
C)22.5 years
D)25 years
E)27.5 years
Rationale: 100 ---- 200 ---- 2.5
400 ---- 2.5
800 ---- 2.5
------
7.5 years
Answer: A
Answer: A
Question: There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly thenwhat is the probability that neither blue nor green?
Options:
A)2/21
B)3/13
C)4/15
D)2/13
E)8/21
Rationale: Total number of balls = (8 + 7 + 6) = 21
Let E = event that the ball drawn is neither blue nor green =e vent that the ball drawn is red.
Therefore, n(E) = 8.
P(E) = 8/21.
Answer: E
Question: A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
Options:
A)8/5
B)8/3
C)3/5
D)5/8
E)5/3
Rationale: Let the man's rate upstream be x kmph and that downstream be y kmph.
Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.
44 * x /5 = 4 * y
y = 11/5 * x
Required ratio = (y+x)/2 : (y-x)/2
= 8/5 : 3/5
= 8/3
Ans- B
Answer: B
Question: Jane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks. If they both work together, how many weeks will it take for them to produce 15 handcrafted drums?
Options:
A)30
B)36
C)70
D)80
E)150
Rationale: Jane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks.” Jane’s rate is (1 drum)/(4 weeks) = 1/4. Zane’s rate is (1 drum)/(6 weeks) = 1/6. The combined rate of Jane + Zane is
R = 1/4 + 1/6 = 3/12 + 2/12 = 5/12
That’s the combined rate. We need to make 15 drums — we have a rate and we have an amount, so use the “art” equation to solve for time:
T = A/R = 15/(5/12) = 15*(12/5) = (15/5)*12 = 3*12 = 36
Answer B
Answer: B
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.9500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Options:
A)Rs.500
B)Rs.600
C)Rs.700
D)Rs.1500
E)Rs.2500
Rationale: Sum of the salaries of the person for the months of January, February, March and April = 4 * 8000 = 32000 ----(1)
Sum of the salaries of the person for the months of February, March, April and May = 4 * 9500 = 38000 ----(2)
(2)-(1) i.e. May - Jan = 6000
Salary of May is Rs.6500
Salary of January = Rs.500
ANSWER:A
Answer: A
Question: In a contest, four fruits (an apple, a banana, an orange, and a pear) have been placed in four closed boxes (one fruit per box). People may guess which fruit is in which box. 123 people participate in the contest. When the boxes are opened, it turns out that 43 people have guessed none of the fruits correctly, 39 people have guessed one fruit correctly, and 31 people have guessed two fruits correctly.How many people have guessed three fruits correctly, and how many people have guessed four fruits correctly?
Options:
A)9
B)5
C)8
D)10
E)6
Rationale: Explanation:
It is not possible to guess only three fruits correctly: the fourth fruit is then correct too! Therefore, nobody has guessed three fruits correctly and 123-43-39-31 = 10 people have guessed four fruits correct
Answer D
Answer: D
Question: A certain sum of money is divided among A, B and C such that A gets one-third of what B and C together get and B gets two-seventh of what A and C together get. If the amount received by A is $20 more than that received by B, find the total amount shared by A, B and C.
Options:
A)$320
B)$420
C)$720
D)$220
E)$200
Rationale: A = 1/3 (B+C) => C = 3A - B ---(1)
B = 2/7 (A+C) => C = 3.5 B - A --(B)
A-B = $20
A = 20+B
(1)===> C = 60+3B - B = 2B+60 ==> 2B-C = -60 ---(3)
(2)===> C = 3.5 B - B-20 = 2.5B-20==>2.5B-C = 20---(4)
from (4) and (3) 0.5B = 80
B = $160
A= $180
C =540-160=$380 Total amount = 180+160+380 = $720
Answer: C
Answer: C
Question: Out of 7 constants and 4 vowels how many words of 3 consonants and 2 vowels can be formed?
Options:
A)14571
B)36512
C)45120
D)54120
E)25200
Rationale: Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4)
= 7C3 * 4C2
= 210
Number of groups each having 3 consonants and 2 vowels = 210
Each group contains 5 letters
Number of ways of arranging 5 letters among themselves
= 5! = (5 * 4 * 3 * 2 * 1)
= 210
Required number of words = (210 * 210)
= 25200
Ans: E
Answer: E
Question: Sony and Johnny caught 40 fishes. Sony caught four times as many as Johnny. How many fishes did Johnny catch?
Options:
A)12
B)16
C)34
D)38
E)8
Rationale: s+j=40
s=4*j
j=8
ANSWER:E
Answer: E
Question: plot ABCD is as shown in figure, where AF = 30 m, CE = 40 m, ED = 50 m, AE = 120 m. Find the area of the plot ABCD?
Options:
A)7800 sq.m
B)7208 sq.m
C)8200 sq.m
D)7200 sq.m
E)7202 sq.m
Rationale: Area of plot ABCD
= Area of ADE + Area of AFB + Area of BCEF
= 1/2 * 50 * 120 + 1/2 * 40 * 30 + 40 * 90
= 3000 + 600 + 3600
= 7200 sq.m
Answer: D
Answer: D
Question: A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
Options:
A)Rs. 8400
B)Rs. 11,900
C)Rs. 13,600
D)Rs. 14,700
E)Rs. 15,000
Rationale: Explanation:
Let C = x.
Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.
So, x + x + 5000 + x + 9000 = 50000
3x = 36000
x = 12000
A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.
A's share = Rs.(35000 X 21/50)= Rs. 14,700.
ANSWER IS D
Answer: D
Question: A jar contains 20 red, 20 blue, 6 yellow and 4 pink balls. If two balls are to be selected at random and without replacement, approximately what is the probability both of them to be the same colour?
Options:
A)1/25
B)1/15
C)1/3
D)1/2
E)1
Rationale: ok so jar contains 20 red 20 blue 6 yellow and 4 pink..
Adding the number of balls we get 50 total..
Now its a counting + probability exercise..
2 stages exist: Pick first ball then second ball..
Denominator for first ball = 50 since there are 50 balls
denominator for second ball = 49 since only 49 would remain
for each type ball i constructed probability of getting 2 of same.. I used a counting method.. first ball 20 chances blue and 2nd ball 19 chances blue and so on and so forth
Blue = (20*19)/(50*49) rounded to 400/2500
Red = (20*19)/(50*49) rounded to 400/2500
Yellow = (6*5)/(50*49) rounded to 30/2500
Pink = (4*3)/(49*50) rounded to 12/2500
Then I summed these individual probabilities to get 842/2500
This is ~1/3 as 800*3 = 2400
ANS:C
Answer: C
Question: The bankers discount and the true discount of a sum at 5% per annum simple interest for the same time are Rs.60 and Rs.40 respectively. What is the sum and the time?
Options:
A)Sum = Rs.200and Time = 10 years
B)Sum = Rs.160 and Time = 10 years
C)Sum = Rs.140 and Time = 10 years
D)Sum = Rs.120 and Time = 10 years
E)None of these
Rationale: Explanation :
BD = Rs.60
TD = Rs.40
R = 10%
F = BD ×TD/(BD – TD)=60×40/(60–40)=60×40/20=Rs. 120
BD = Simple Interest on the face value of the bill for unexpired time =FTR/100
⇒60 = (120×T×5)/100
⇒600 = 12 × T × 5⇒600 = 60 × T
⇒ T = 600/60 = 10 years Answer : Option D
Answer: D
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Options:
A)288
B)260
C)245
D)267
E)208
Rationale: Speed = 45 * 5/18 = 25/2 m/sec.
Time = 30 sec
Let the length of bridge be x meters.
Then, (130 + x)/30 = 25/2
x = 245 m.
Answer:C
Answer: C
Question: A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 9.00 a.m., at what time will he first touch a flag at 120 feet from the ground?
Options:
A)4 p.m.
B)5 p.m.
C)6 p.m.
D)7 p.m.
E)None of these
Rationale: Explanation:
Net ascent of the monkey in 1 hour = (30 - 20) feet = 10 feet.
So, the monkey ascends 90 feet in 9 hours i.e. till 6 p.m.
Clearly, in the next 1 hour i.e. till 7 p.m. the monkey ascends remaining 30 feet to touch the flag.
Answer:D
Answer: D
Question: How many even 3 digit integers greater than 700 with distinct non zero digits are there ?
Options:
A)729
B)243
C)108
D)88
E)77
Rationale: 1. Number of 3 digit even numbers >than 700 and <1000 = 149. We can use Arithmetic progression to find 149. How? 702 is the first even number and 998 is the last even number. The difference is 2 between the numbers. So, we have 702 + (n-1)2 = 998 or n=149.
2. Number of 3 digit even numbers that need to eliminated = 41, How? 702, 704, 706, 708, 710 => 5 numbers x 3 (for 70x, 80x and 90x series)= 15. Also, 720, 730...790 - 8 numbers x 3 = 24. Also 800 and 900 - 2 numbers. So, 15 + 24 + 2 = 41.
3. So net result is 149-41 = 108.
4. C is the answer.
Answer: C
Question: Three machines operating independently, simultaneously, and at the same constant rate can fill a certain production order in 28 hours. If one additional machine were used under the same operating conditions, in how manyfewerhours of simultaneous operation could the production order be fulfilled?
Options:
A)7
B)9
C)12
D)27
E)48
Rationale: If 3 Machines can do the work in 28 hr then 4 Machines can do the work in 3/4*28 = 21 Hrs. hence time saved will be 7hr
option A is the correct answer
Answer: A
Question: Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is?
Options:
A)36
B)77
C)88
D)99
E)55
Rationale: (3x-9):(5x-9) = 9:17
x = 12 => 3x = 36
Answer: a
Answer: A
Question: The number of new words that can be formed by rearranging the letters of the word 'LIVE' is
Options:
A)28
B)32
C)50
D)32
E)23
Rationale: Explanation:
Number of words which can be formed = 4! - 1 = 24 - 1 = 23.
Answer: E
Answer: E
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Options:
A)22388
B)38000
C)27888
D)27288
E)28112
Rationale: Explanation:
CP + CP/8 = 45000
CP = 40000
SP = 40000*(95/100) = 38000
Answer: B
Answer: B
Question: In basket A there are 2 apples and 3 oranges, in basket B there are 2 apples and 5 oranges. A basket is chosen at random, what is the probability of picking up an orange in basket B?
Options:
A)2/5.
B)5/12.
C)3/10.
D)5/14.
E)2/3.
Rationale: Probability of picking up one basket out of two= 1/2
probability of picking 1 orange from basket B= 5/7
Hence the desired probability= 1/2*5/7= 5/14
D is the answer
Answer: D
Question: The average (arithmetic mean) of y numbers is x. If 20 is added to the set of numbers, then the average will be x - 5. What is the value of y in terms of x ?
Options:
A)x/6 - 6
B)x/6 - 5
C)x/7 - 5
D)x/5 - 5
E)x/5 - 6
Rationale: (A1 + A2 + .. + Ay)/y = x
(A1 + A2 + .. + Ay + 20)/(y+1) = x - 5
=> (xy + 20)/(y+1) = x - 5
=> xy + 20 = yx -5y + x - 5
=> 25 = x - 5y
=> 5y = x - 25
=> y = x/5 - 5
Answer - D
Answer: D
Question: What is the sum of the greatest common factor and the lowest common multiple of 16 and 36?
Options:
A)148
B)222
C)144
D)157
E)164
Rationale: Prime factorization of the given numbers
16= 2^4
36= 2^2 *3*2
Greatest common factor = 2^2 = 4
Lowest common multiple = 2^4*3^2 =144
Sum = 4+ 144 = 148
Answer A
Answer: A
Question: The average age of students in section A of 100 students is 20 years and the average age of students in section B of 150 students is 30 years. Find the average age of students in both sections taken together?
Options:
A)26 years
B)30years
C)15years
D)25years
E)20years
Rationale: The required average = (100*20+150*30)/100+150 = 26 years
Answer is A
Answer: A
Question: The letters of the word WOMAN are written in all possible orders and these words are written out as in a dictionary ,then the rank of the word 'WOMAN' is
Options:
A)117
B)120
C)118
D)119
E)116
Rationale: No of words beginning with A : 4!
No of words beginning with M : 4!
No of words beginning with N : 4!
No of words beginning with O : 4!
No of words beginning with WA : 3!
No of words beginning with WM : 3!
No of words beginning with WN : 3!
No of words beginning with WO : 3!
No of words beginning with WOA : 2!
No of words beginning with WOMAN :1
So, RANK of WOMAN =4(4!) + 3(3!)+2! + 1
=96+18+2+1
=117
ANSWER:A
Answer: A
Question: In a mixed college 160 students are there in one class. Out of this 160 students 5/8 students are girls. How many boys are there ?
Options:
A)A)40
B)B)60
C)C)80
D)D)120
E)E)140
Rationale: Total Number of Students :160
Total Girls : 160*5/8 =100
Total Boys : 160-100 = 60
Answer is B
Answer: B
Question: Which one the following fractions has the Lowest value?
Options:
A)A)488/850
B)B)499/850
C)C)477/850
D)D)511/850
E)E)501/850
Rationale: All options have the same denominator 850. If denominator is same, the fraction with the lowest value will be the one with the Lowest numerator.
Answer (C).
Answer: C
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years, The ratio of the number of boys to the number of girls in the class is
Options:
A)7 : 3
B)2 : 3
C)9 : 3
D)6 : 3
E)2 : 5
Rationale: Explanation:
Let the ratio be k : 1. Then,
k * 16.4 + 1 * 15.4 = (k + 1) * 15.8
<=> (16.4 - 15.8) k = (15.8 - 15.4) <=> k = 0.4/0.6 = 2/3.
Required ratio = 2/3 : 1 = 2 : 3.
Answer: B
Answer: B
Question: Find the area of circle whose radius is 7m?
Options:
A)288
B)154
C)767
D)168
E)178
Rationale: 22/7 * 7 * 7
= 154
Answer: B
Answer: B
Question: The value of a car depreciates at the rate of 40% every year. It was purchased 3 years ago. If its present value is Rs. 864, its purchase price was
Options:
A)4500
B)4000
C)3500
D)3000
E)2500
Rationale: Explanation:
= Rs.4000
Answer: B
Answer: B