divelab/Sys2Bench huggingface dataset:
Question: How many positive 5-digit integers have the odd sum B of their digits?
Options:
A)9*10^2
B)9*10^3
C)10^4
D)45*10^3
E)9*10^4
Rationale: We are looking at numbers between 10000 and 99999 both inclusive.
There are 90000 numbers.
Now for
10000 : sum of digits is odd;
10001 :sum of digits is even;
10002 : sum of digits is odd ; so on and so forth. So every alternate number is such that the sum of digit is odd.
(Exception for the above statement :
When it is 10009 the sum is even and for 10010 again the sum is even; But if you look at 10019 :sum is odd; 10020 : sum is odd
and this pattern continues so basically the number of odd sum of digits and even sum of digits are equal)
This means exactly half of the numbers will have odd sum of their digits. i.e 45000
Answer :D
Answer: D
Question: In the above number, A and B represent the tens and units digits, respectively. If the above number is divisible by 15, what is the greatest possible value of B x A?
Options:
A)0
B)15
C)25
D)30
E)35
Rationale: I also was confused when I was looking forabove number:D
As far as I understood, 15 is a factor of AB. In other words, the values of B (units digits can be 5 or 0. Better to have option for 5 in this case to havebigger result). Now let's try 15x1 (A=1, B=5 respectively we have =5). To ensure, let's check (avoid even multiples of 2,4,6,8 etc (we will have 0 in units thus making our result 0)
15x3 = 45 (A=4 B=5 respectively. Hey! that's 20. But we don't have this number in answer choices, move on).
15x5= 75 (A=7, B=5 respectively. Increasing trend , we have 35 now)
15x7= 105 (A=0, B=5. Have 0 now. can create a pattern)
IMO E.
Answer: E
Question: A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
A)228
B)108
C)1266
D)188
E)211
Rationale: S = 180/6 * 18/5 = 108 kmph
Answer: B
Answer: B
Question: How many 5-digit positive integers are there, where each digit is positive, and no two adjacent digits are same?
Options:
A)1236
B)3024
C)4096
D)4608
E)36864
Rationale: First digit.. 9 posibilities
Second digit, 8 possibilities
third digit, 8 possibilities
Fourth digit, 8 possibilities.
9*8*8*8*8 = 36,864.
E
Answer: E
Question: What is the product of all the possible values of x if x^2 - 2x - 8?
Options:
A)–29
B)–12
C)-8
D)29
E)168
Rationale: Explanation:
=> y= x^2 - 2x - 8
=> y= (x+2) (x-4)
=> x= -2, y= 4
Product x = (-2)(4) = -8
answer option -8
ANSWER:C
Answer: C
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 36 hrs and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 12 hours, how many machines of type R were used?
Options:
A)1
B)4
C)6
D)9
E)12
Rationale: Rate of machine R =1/36
Rate of machine S =1/18
since same no of machines used for R and S to do the same work in 12 hrs
So collective rate needed to finish the work in 12 hrs= 1/12
Let the no of machine be x
So, x/36 +x/18 =1/12
x3/36=1/12
x=1
So no of machine R is 1
Answer A
Answer: A
Question: A dress on sale in a shop is marked at $X. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on thediscounted price. If a staff member buysthe dress what will she have to pay in terms of X?
Options:
A)0.555X
B)0.667X
C)0.765X
D)0.905X
E)1.234X
Rationale: If the price is reduced by 15 %, then the new price will be 0.85D
If this new price is further reduced by 10%, the discounted price will be 0.9 x 0.85X = 0.765X
C
Answer: C
Question: A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 300. Find the total worth of the stock?
Options:
A)20029
B)20000
C)20289
D)20027
E)15000
Rationale: Let the total worth of the stock be Rs. x.
The SP of 20% of the stock = 1/5 * x * 1.1 = 11x/50
The SP of 80% of the stock = 4/5 * x * 0.95 = 19x/25 = 38x/50
Total SP = 11x/50 + 38x/50 = 49x/50
Overall loss = x - 49x/50 = x/50
x/50 = 300 => x = 15000
Answer: E
Answer: E
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Options:
A)110.12 meters
B)111.12 meters
C)112.12 meters
D)113.12 meters
E)115.12 meters
Rationale: Explanation:
A runs 1000 meters while B runs 900 meters and C runs 800 meters.
Therefore, B runs 900 meters while C runs 800 meters.
So, the number of meters that C runs when B runs 1000 meters = (1000 x 800)/900 = 8000/9 = 888.88 meters
Thus, B can give C (1000 - 888.88) = 111.12 meters start
ANSWER IS B
Answer: B
Question: A 260 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train ?
Options:
A)240 mts
B)270 mts
C)260 mts
D)250 mts
E)230 mts
Rationale: Explanation:
Relative speed = 120 + 80 = 200 km/hr.
= 200 x 5/18 = 500/9 m/sec.
Let the length of the other train be L mts.
Then, (L + 260)/9 = 500/9 => L = 240 mts.
ANSWER IS A
Answer: A
Question: A futsal team that must consists of 5 players is to be formed from a pool of 7 players. How many different teams are possible?
Options:
A)18
B)8
C)12
D)20
E)21
Rationale: Note that the team must consist of 5 members, not at least 5 members. Hence, all you have to do is 7C5 = 21
Answer (E)
Answer: E
Question: A baker charges M dollars for a birthday cake. Next week, she intends to earn 320 dollars selling cakes. If she were to reduce the price of the cake by 20 percent, she would have to sell two more cakes to earn the same amount of revenue. How many cakes does she intend to sell next week?
Options:
A)2
B)4
C)6
D)8
E)10
Rationale: We're told that by selling cakes at M dollars/cake, a baker will make $320.
Reducing the price by 20% and selling 2 MORE cakes will also make her $320.
We're asked for the original number of cakes that the baker intends to sell.
$320 is a rather interesting number. Based on the answer choices, we're almost certainly dealing with integer values for the number of cakes AND the price per cake. As such, 6 is probably NOT going to be part of the solution (either as 4 and 6 cakes or as 6 and 8 cakes). As such, we can avoid Answers B and C....
Let's TEST ANSWER D: 8 cakes
IF....
Original cakes = 8
8(M) = $320, so M = $40/cake
20% off = $8 off = 40-8 = $32/cake
+2 more cakes = 8+2 = 10 cakes
10(32) = $320
This is an exact MATCH for what we were told, so this MUST be the answer.
Final Answer:
D
Answer: D
Question: In business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 2:5, If Rs 15,000 was their profit, how much amount did B receive.
Options:
A)1950
B)6895
C)4879
D)8126
E)6250
Rationale: Explanation:
A:B = 2:5 = 2:5
=> A:C = 2:1 = 2:1
=> A:B:C = 6:5:1
B share = (5/12)*15000
= 6250
Option E
Answer: E
Question: You need to pick any number from '1, 3, 5, 7, 9, 11, 13 and 15' to make below equation true.
( ) + ( ) + ( ) = 30
Can you solve it ?
Options:
A)29
B)30
C)31
D)32
E)33
Rationale: Solution:
3! + 15 + 9 = 30
Explanation:
3! = 3 * 2 * 1 = 6
6 + 15 + 9 = 30
Answer B
Answer: B
Question: If there are thrice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30% of the total. What fraction of the total is men who own cars?
Options:
A)3⁄20
B)11⁄60
C)9⁄40
D)1⁄10
E)11⁄20
Rationale: Consider a group of 100 men and 300 women, a total of 400 people. 30% of them, which is 120, form a group of people who don't own a car.
Half of them are men, and the other half are women, more precisely 60.
It means that there are 100 - 60 = 40 men who own a car, and this represents 40/400 = 1/10 of the total.
Answer D
Answer: D
Question: A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
Options:
A)16 2/3 days
B)13 1/3 days
C)17 1/3 days
D)16 1/2 days
E)17 days
Rationale: 5/30 + 20/x = 1
x = 24
1/30 + 1/24 = 3/40
40/3 = 13 1/3 days
ANSWER:B
Answer: B
Question: The consumption of diesel per hour of a bus varies directly as square of its speed. When the bus is travelling at 70 kmph its consumption is 1 litre per hour. if each litre costs $70 and other expenses per hous is $ 70, then what would be the minimum expenditure required to cover a distance of 700 Km?
Options:
A)1000
B)1500
C)1240
D)1630
E)1400
Rationale: 70 kmph consumption is 1 lt/hr
so 700 km will take 10 hrs and the consumption is 10 lt for entire distance.
1 lt costs $70
so 10 lt costs $700
extra expenses for 1 hr - $70
10 hrs - $700
total expense - $700 + $700 = $1400
Answer : E
Answer: E
Question: If |x| = 5x - 3, then x = ?
Options:
A)1
B)1/2
C)2
D)-1/2
E)-1
Rationale: Answer: A
Approach:
Substituted option A i.e x=1. Inequality satisfied.
C
Answer: C
Question: A sum of money place at compound interest doubles itself in 7 years. In how many years will it amount to eight times itself?
Options:
A)15 years
B)11 years
C)12 years
D)18 years
E)21 years
Rationale: 100 ---- 200 ---- 7
400 ---- 7
800 ---- 7
------
21 years
Answer: E
Answer: E
Question: A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4,5 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY5?
Options:
A)12/15
B)5/6
C)4/5
D)7/3
E)2/7
Rationale: If a number is divisible by 5 the last 1 digits of the number has 5.
If the number ends with 15: Number of possibilities = 4*3 * 2 * 1 = 24
number ends with 25: Possibilities = 4*3 * 2 * 1 = 24
number ends with 35: Possibilities =24
number ends with 45: Possibilities =24
Total number of possibilities with restriction = 24*4= 96
Total number of possibilities without restriction = 5! = 120
Probability = 96/120 = 12/15
Answer: A
Answer: A
Question: 40 is subtracted from 60% of a number, the result is 50. Find the number?
Options:
A)150
B)997
C)266
D)288
E)271
Rationale: (60/100) * X – 40 = 50
6X = 900
X = 150
Answer:A
Answer: A
Question: Kid have 8 black balls and 8white balls. He is trying to arrange a ball in a row then in how many ways can he arrange these balls in a row so that balls of different colors alternate?
Options:
A)(8!)^2
B)2×(8!)
C)2×(8!)^2
D)2^2
E)3×(6!)^2
Rationale: 8 black balls can be arranged in 8! ways ...(A)
Now we need to arrange white balls such that white balls and black balls are positioned alternatively. i.e., we can arrange 8 white balls either in the 8 positions marked as A,B,C,D,E,F,G,H or in the 8 positions marked as B,C,D,E,F,G,H,I as shown below.
8 white balls can be arranged in the 8 positions marked as A,B,C,D,E,F,G,H in 8! ways.
8 white balls can be arranged in the 8 positions marked as B,C,D,E,F,G,H,I in 8! ways.
8 white balls can be arranged in the 8 positions marked as A,B,C,D,E,F,G,H or in the 8 positions marked as B,C,D,E,F,G,H,I in 8!+8!=2×8! ways ...(B)
From (A) and (B),
required number of ways =8!×2×8!=2×(8!)^2
C
Answer: C
Question: The ratio of boys to girls in Class A is 3 to 4. The ratio of boys to girls in Class B is 4 to 6. If the two classes were combined, the ratio of boys to girls in the combined class would be 17 to 22. If Class A has one more boy and two more girls than class B, how many girls are in Class A?
Options:
A)8
B)9
C)10
D)11
E)12
Rationale: Since it is given that the ratio of boys to girls in Class A is 3 to 4 - so we can quickly eliminate the answer choices which are not multiples of 4.
so ans can either be 8 0r 12.
With 8 as answer - no of girls = 8
With 12 as answer - no of girls = 12
Now Class A has one more boy and two more girls than class B and also the ratio of boys to girls in Class B is 4 to 5.
So we are looking for number of girls in B to be divisible by 5.
With 8 as answer -> Girls = 8-2 = 6. (Not possible)
With 12 as answer -> Girls = 12-2 = 5.
So, answer = 11. ( D)
Answer: D
Question: What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
Options:
A)8000
B)8877
C)2877
D)2678
E)1011
Rationale: 8820 ---- 441
100 ---- ? => 5%
x *105/100 * 105/100 = 8820
x*1.1025=8820
x=8820/1.1025 => 8000
Answer: A
Answer: A
Question: According to a recent student poll, 4/5 out of 25 members of the finance club are interested in a career in investment banking. If two students are chosen at random, what is the probability that at least one of them is interested in investment banking?
Options:
A)29/30
B)4/49
C)2/7
D)45/49
E)13/14
Rationale: 20 students are interested, 5 are not interested
Prob = 1 - 5C2/25C2 = 1 - (5*4/(25*24))=1 - 1/30 = 29/30
Answer : A
Answer: A
Question: A gardener wants to plant trees in his garden in rows in such away that the number of trees in each row to be the same. If there are 24 rows the number of trees in each row is 42 if there are 12 more rows find the number of trees in each row?
A. 63 B. 28?
Options:
A)11
B)28
C)16
D)19
E)10
Rationale: Required number of trees
= 24/36 * 42 = 28.
Answer: B
Answer: B
Question: Which of the following could be the value of x, if |6x – 14| = 2x+2?
Options:
A)–3/2
B)–4
C)1
D)2/3
E)4
Rationale: |6x – 14| = 2x + 2
=>6x - 14=2x + 2
or 6x - 14 = -2x - 2
=> 4x = 16 or 8x = 12
=> x = 4 or x = 12/8=3/2
Answer E
Answer: E
Question: 3034 - (1002 / 20.04) = ?
Options:
A)2984
B)2983
C)2982
D)2981
E)None of these
Rationale: Option A
Answer: A
Question: Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of 2.5 meters per second and Jerry is running 36% slower, how much time Q will it take them to meet if the initial distance between the two is 50 meters and Tom started running 20 seconds before Jerry did?
Options:
A)2 minute and 12 seconds.
B)two minutes.
C)44 seconds.
D)20 seconds.
E)12 seconds.
Rationale: Tom is running alone for 20 seconds.
So he will cover a distance of 20*2.5 = 50 m in 20 seconds=Q
Basically, Jerry has not started yet , and Tom has covered the distance alone and met Jerry on the other side
D is the answer
Answer: D
Question: The average of eight numbers is 27. If one number is excluded, the average becomes 25. The excluded number is
Options:
A)25
B)27
C)30
D)35
E)41
Rationale: Sol.
Therefore excluded number
= (27 × 8) - ( 25 × 7)
= 216 – 175
= 41.
Answer E
Answer: E
Question: Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
Options:
A)5 hours
B)6 hours
C)3 hours
D)9 hours
E)2 hours
Rationale: Part filled by A + B + C in 1 hour = 1/5 + 1/10 + 1/30 = 1/3
All the three pipes together will fill the tank in 3 hours.Answer: C
Answer: C
Question: A lends Rs. 2500 to B and a certain to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is?
Options:
A)2998
B)1500
C)2878
D)299
E)277
Rationale: Let the sum lent to C be Rs. x. Then,
(2500 * 7 * 4) / 100 + (x * 7 * 4) / 100 = 1120
7/25 x = (1120 - 700) => x = 1500
Answer: B
Answer: B
Question: For every positive integer n, the nth term of a sequence is the total sum of three consecutive integers starting at n. What is the total sum of terms 1 through 100 of this series?
Options:
A)11,990
B)12,720
C)13,260
D)14,580
E)15,450
Rationale: Each term of the series has the form (n+n+1+n+2) = 3n+3
Since the series goes from 1 to 100, the sum of the series is:
3(1+2+...+100) + 100(3) =
3(100)(101)/2 + 100(3) =
150*101 + 300 = 15,450
The answer is E.
Answer: E
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 54 kmph, find the speed of the stream?
Options:
A)77
B)18
C)14
D)12
E)17
Rationale: The ratio of the times taken is 2:1.
The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1) = 3/1 = 3:1
Speed of the stream = 54/3 = 18 kmph.
Answer:B
Answer: B
Question: An engineering student has to secure 36% marks to pass. He gets 130 marks and fails by 14 marks. The maximum number of marks obtained by him is?
Options:
A)337
B)400
C)298
D)2798
E)271
Rationale: 130
14
-------
361------ 144
100%------? => 400
Answer:B
Answer: B
Question: Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 9.5 km apart, if they walk in the same direction?
Options:
A)19 hrs
B)14 hrs
C)15 hrs
D)17 hrs
E)None
Rationale: Sol.
to be 0.5 km apart, they take 1 hour.
To be 9.5 km apart, they take [1/0.5 * 9.5] hrs = 19 hrs.
Answer A
Answer: A
Question: Raju age after 23 years will be 5 times his age 5 years back, What is the present age of Raju
Options:
A)10 years
B)11 years
C)13 years
D)12 years
E)14 years
Rationale: Explanation:
Clearly,
x+23 = 5(x-5)
<=> 4x = 48 => x = 12
Option D
Answer: D
Question: Shop Offered 40% offer for every Shirt, Smith bought a shirt at Rs. 560. and What was the shop's original selling Price?
Options:
A)500
B)550
C)600
D)933
E)750
Rationale: SP* (60/100) = 560
SP= 9.33 * 100 => CP = 933
Answer:D
Answer: D
Question: A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?
Options:
A)1:00pm, 220 km
B)1:00pm, 200km
C)2:00pm, 200 km
D)2:00pm, 220 km
E)None of these
Rationale: Explanation:
When the second train leaves Mumbai the first train covers 40 * 1 = 40 km
So, the distance between first train and second train is 40 km at 10.00am
Time taken by the trains to meet
= Distance / relative speed = 40 / (50 -40) = 4 hours
So, the two trains meet at 2 p.m. The two trains meet 4 * 50 = 200 km away from Mumbai.
ANSWER IS C
Answer: C
Question: If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
Options:
A)4 days
B)5 days
C)6 days
D)7 days
E)none
Rationale: Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y.
Then, 6x + 8y = 1/10 and 26x + 48y = 1/2
Solving these two equations, we get : x = 1/100 and y = 1/200
(15 men + 20 boy)'s 1 day's work = (15/100 + 20/200) = 1/4
15 men and 20 boys can do the work in 4 days.
Answer = A
Answer: A
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
Options:
A)neither profit nor loss
B)1%
C)7%
D)6%
E)9%
Rationale: Explanation:
Profit on first article = 20% of 1000 = 200.
This is equal to the loss he makes on the second article. That, is he makes neither profit nor loss.
Answer: A
Answer: A
Question: A Deer passed a certain tree at a constant speed of 50 miles per hour while being chased by a Cheetah. Then, 2 minutes later, the Cheetah passed the same tree at a constant speed of 60 miles per hour. If both animals maintained their speeds, how long after the Cheetah passed the tree did the Cheetah catch up with the deer?
Options:
A)30 min
B)3 min
C)1 hr
D)1 min
E)2 min
Rationale: When the Cheetah is at the tree, the deer is 50/30 miles ahead on the highway. (the distance covered in 2 min)
every hour, Cheetah runs 10miles more than the deer. how many hours will it takes it to cover 50/30 miles more? the answer is (50/30)/10 = 1/60=1 min
Answer D
Answer: D
Question: Peeta asks Katniss, 'It is 9 pm as per my watch right now.Do you know what will be the time 23, 999, 997 hours later?'
Options:
A)5 pm.
B)4 pm.
C)6 pm.
D)7 pm.
E)8 pm.
Rationale: Solution:
6pm
Explanation:
The time after 24, 000, 000 hours will be the same as it is now. We want the time 3 hours before that and thus you can deduct three hours from 9 pm. So the time will be 6 pm.
Answer C
Answer: C
Question: The quarter of the time from midnight to present time added to the half of the time from the present to midnight gives the present time. What is the present time?
Options:
A)9 hr 30 min
B)9 hr 36 min
C)9 hr 46 min
D)8 hr 36 min
E)9 hr 56 min
Rationale: let the present time be t
given that t/4+(24-t)/2=t
so time is 9 hr 36 min
ANSWER:B
Answer: B
Question: Of 70 players on a football team, 37 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
Options:
A)54
B)59
C)63
D)71
E)92
Rationale: 37 are throwers and right handed
1/3 of remaining 33, i.e 11 are left handed and remaining are right handed.
Basically, out of 70, only 11 are left handed and remaining 70-11= 59 are right handed.
B is the answer
Answer: B
Question: . There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed?
Options:
A)10420
B)11
C)11760
D)11640
E)None of these
Rationale: We need to select 5 men from 8 men and 6 women from 10 women
Number of ways to do this
= 8C5 × 10C6
= 8C3 × 10C4 [∵ nCr = nC(n-r)]
=((8×7×6)/(3×2×1))*((10×9×8*7)/(4×3×2×1))
=56×210
=11760
ANSWER:C
Answer: C
Question: Out of 7 people working on a project, 3 are graduates. If 3 people are selected at random, what is the probability that there is at least one graduate among them?
Options:
A)17/20
B)21/25
C)23/30
D)31/35
E)37/40
Rationale: P(no graduates) = 4C3 / 7C3 = 4/35
P(at least one graduate) = 1- 4/35 = 31/35
The answer is D.
Answer: D
Question: Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
Options:
A)22
B)88
C)27
D)20
E)98
Rationale: Speed Ratio = 1:4/5 = 5:4Time Ratio = 4:51 -------- 5 4 --------- ? è 20.Answer: D
Answer: D
Question: The number of n satisfying -n+2≥0 and 2n≤5 is
Options:
A)0
B)1
C)2
D)3
E)None of the above
Rationale: −n+2≥0................−n≥−2..................n≤2−n+2≥0................−n≥−2..................n≤2.
Also 2n≤5.............n≤5/2.............n≤52.
ans is n≤2n≤2..... infinite possible solution.
ANSWER:E
Answer: E
Question: A tradesman by means of his false balance defrauds to the extent of 10%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Options:
A)21%
B)77%
C)44%
D)16%
E)47%
Rationale: g% = 10 + 10 + (10*10)/100
= 21%
Answer: A
Answer: A
Question: The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
Options:
A)0 sq m
B)8 sq m
C)2 sq m
D)8sq m
E)4sq m
Rationale: Explanation:
S = (1 + 2 + 3)/2 = 3
=> No triangle exists
Answer: Option A
Answer: A
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)Rs.49
B)Rs.40
C)Rs.44
D)Rs.42
E)Rs.43
Rationale: Explanation:
π (152 - 132) = 176
176 * 1/4 = Rs.44
Answer: Option C
Answer: C
Question: The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq. cm. Find the length of the rectangle.
Options:
A)5
B)10
C)15
D)20
E)None of them
Rationale: Let breadth = x. Then, length = 2x. Then,
(2x - 5) (x + 5) - 2x * x = 75 <=> 5x - 25 = 75 <=> x = 20.
Therefore, Length of the rectangle = 20 cm.
Answer is D
Answer: D
Question: A six-sided die is rolled once. What is the probability that the number rolled is an odd number greater than 2?
Options:
A)2 / 6
B)1 / 2
C)3 / 3
D)4 / 5
E)2 / 4
Rationale: 2 / 6
correct answer A
Answer: A
Question: What is the principal sum?
I. The sum amounts to Rs. 780 at a rate of 8% p.a. at S.I.
II. The sum amounts to Rs. 1000 in 5 years at S.I.
III. The rate of interest is 8% p.a.
Options:
A)I and III only
B)II and III only
C)I and II only
D)Any two of the three
E)None of these
Rationale: Explanation:
Clearly, Only the statement II and III is needed and cant be able to find by using I statement
Answer: B
Answer: B
Question: X can do 1/4 of a work in 10 days, Y can do 40% of work in 40 days and Z can do 1/3 of work in 13 days. Who will complete the work first?
Options:
A)D
B)F
C)X
D)Z
E)W
Rationale: Whole work will be done by X in 10*4 = 40 days.
Whole work will be done by Y in (40*100/40) = 100 days.
Whole work will be done by Z in (13*3) = 39 days
Therefore, Z will complete the work first. The answer is D.
Answer: D