divelab/Sys2Bench huggingface dataset:
Question: A and B invests Rs.3000 and Rs.6000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Options:
A)3:4
B)9:8
C)9:9
D)9:5
E)9:1
Rationale: (3*6 + 6*6): (6*12)
54:72 => 3:4
Answer: A
Answer: A
Question: The difference between a two digit number and the number obtained by interchanging the digits is 72. What is the difference between the digits of the number?
Options:
A)7
B)5
C)6
D)8
E)9
Rationale: Description :
=> (10x+y)-(10y+x)=72
=> 9(x-y)=72
=> x-y = 8
Answer D
Answer: D
Question: Two dogsled teams raced across a 600-mile course in Alaska. Team A finished the course in 6 fewer hours than team B. If team A’s average speed was 5 miles per hour greater than that of team B, what was team B’s average speed, in miles per hour?
Options:
A)12
B)15
C)18
D)20
E)25
Rationale: Let v be team B's average speed.
Time = Distance/Rate and the time difference was 6 hours.
600/v - 600/(v+5)= 6
600v + 3000 - 600v = 6(v)(v+5)
500 = (v)(v+5)
(20)(25) = (v)(v+5)
v = 20 mph
The answer is D.
Answer: D
Question: An investor invests in a new fund. The fund averages 10% growth annually for the first three years, but it loses 25% of its value in the fourth year. At the end of four years, the value of the fund is approximately what percent of the original amount?
Options:
A)99.825%
B)97.785%
C)95.125%
D)93.675%
E)91.175%
Rationale: 0.75*1.1^3 = 0.99825
The answer is A.
Answer: A
Question: How many factors of 60 are odd numbers greater than 1?
Options:
A)3
B)4
C)5
D)3
E)7
Rationale: prime factors of 60 are 2^2,3^1,5^1
total divisors = (power if a prime factor+1)
total no. of odd factors(3,5,) = (1+1)(1+1)=4
since we need odd divisors other than 1 =>4-1 = 3 odd divisors
D is the answer
Answer: D
Question: In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"?
Options:
A)14 ways
B)61 ways
C)71 ways
D)31 ways
E)30 ways
Rationale: The word contains five consonants. Three vowels, three consonants can be selected from five consonants in ⁵C₃ ways, two vowels can be selected from three vowels in ³C₂ ways.
3 consonants and 2 vowels can be selected in ⁵C₂ . ³C₂ ways i.e., 10 * 3 =30 ways.
Answer: E
Answer: E
Question: The length of a rectangular plot is 10 meters more than its width. If the cost of fencing the plot at $15.50 per meter is $868, what is the length of the plot in meters?
Options:
A)17
B)19
C)21
D)23
E)25
Rationale: perimeter = 2L + 2W = 2L + 2(L-10) = 4L - 20
cost of fencing = (4L - 20) * 15.50 = 62L - 310 = 868
62L = 1178
L = 19 meters
The answer is B.
Answer: B
Question: In a class of 38 children,19 play tennis, 21 play squash and 10 play neither sport. (1)how many children play both sports?
Options:
A)11
B)12
C)14
D)15
E)19
Rationale: 28 play some sport
19+21-both=28
both = 12
Answer is B
Answer: B
Question: Sharron bakes 6 cookies for 6 friends. 2 of the friend arrive early and eat 3 cookies each. How many cookies are left over if the other friends all have the same number of cookies?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: Sharron made 6*6 cookies = 36 cookies. 2 friends eat 3 cookies, leaving 30 remaining for 4 friends.
30=2*3*5. 30 is not divisible by 4. The 4 friends ate a cumulative number of cookies less than 30 that must be divisible by 4, because the number is the same.
A 30 -1=29. 29=1*29, cannot be divided by four
B 30-2=28. 28=2*2*7, can be divided by four
C 30-3 = 27. 27=3*3*3, cannot be divided by four
D. Because there are 4 people, 4 cannot be a remainder (remainder = 0)
E. Because there are 4, people, 5 cannot be a remainder (remainder = 1)
B is the correct answer
Answer: B
Question: A trader sells 30 meters of cloth for Rs. 4500 at the profit of Rs. 10 per metre of cloth. What is the cost price of one metre of cloth?
Options:
A)Rs. 80
B)Rs. 185
C)Rs. 140
D)Rs. 295
E)None of these
Rationale: SP of 1m of cloth = 4500/30 = Rs. 150
CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth
= Rs. 150 - Rs. 10 = Rs. 140.
ANSWER:C
Answer: C
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Options:
A)480
B)992
C)772
D)662
E)188
Rationale: 1/x - 1/20 = -1/24
x = 120
120 * 4 = 480
Answer:A
Answer: A
Question: What is the average (arithmetic mean) of all multiples of 10 from 10 to 600 inclusive?
Options:
A)190
B)195
C)305
D)205
E)210
Rationale: This question can be solved with the Average Formula and 'bunching.'
We're asked for the average of all of the multiples of 10 from 10 to 600, inclusive.
To start, we can figure out the total number of terms rather easily:
1(10) = 10
2(10) = 20
...
60(10) = 600
So we know that there are 60 total numbers.
We can now figure out the SUM of those numbers with 'bunching':
10 + 600 = 610
20 + 590 = 610
30 + 580 = 610
Etc.
Since there are 60 total terms, this pattern will create 30 'pairs' of 610.
Thus, since the average = (Sum of terms)/(Number of terms), we have...
(30)(610)/(60) =305
Final Answer: C
Answer: C
Question: A man bought a computer at 30% discount on its original price. He sold it at a 520% increase on the price he bought it. What percent of profit did he make on the original price?
Options:
A)1%
B)2%
C)3%
D)4%
E)5%
Rationale: Original price = 100
CP = 70
S = 70*(150/100) = 105
105 - 100 = 5%
Answer: E
Answer: E
Question: Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
Options:
A)2528
B)2526
C)2522
D)2722
E)2426
Rationale: A = 1600(21/20)3 = 2522
Answer: C
Answer: C
Question: The speed of a boat in still water in 26 km/hr and the rate of current is 6 km/hr. The distance travelled downstream in 20 minutes is:
Options:
A)10.4 km
B)10.66 km
C)11.4 km
D)11.22 km
E)12 km
Rationale: Explanation:
Speed downstream = (26 + 6) = 32 kmph
Time = 20 minutes = 20/60 hour = 1/3 hour
Distance travelled = Time × speed = (1/3)×32 = 10.66 km
Answer: Option B
Answer: B
Question: If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
Options:
A)4/5
B)4/9
C)4/6
D)4/2
E)4/1
Rationale: x/3 – x/4 = 4/60
x = 4/5 km
Answer: A
Answer: A
Question: How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
Options:
A)360
B)729
C)365
D)735
E)345
Rationale: The given digits are six.
The number of four digit numbers that can be formed using six digits is ⁶P₄
= 6 * 5 * 4 * 3 = 360.
Answer:A
Answer: A
Question: The average age of A, B and C is 26 years. If the average age of A and C is 29 years, what is the age of B in years ?
Options:
A)19
B)35
C)20
D)32
E)21
Rationale: C
20
Age of B = Age of (A + B + C) – Age of (A + C) = 26 × 3 – 29 × 2 = 78 – 58 = 20 years
Answer: C
Question: If -1<= x <= 2 and 3 <= y <= 8, which of the following represents the range of all possible values of y-x?
Options:
A) 5 <= y-x <= 6
B) 1 <= y-x <= 5
C) 1 <= y-x <= 6
D) 1 <= y-x <= 9
E) 1 <= y-x <= 10
Rationale: Maximum value of y-x= 8 - (-1)= 9
Minimum value of y-x= 3-2= 1
D mentions the correct range
Answer: D
Question: How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together?
Options:
A)9
B)12
C)5
D)8
E)4
Rationale: Answer: Option A
(700 â€“ 300)/42 = 9 22/42 => 9 Numbers
Answer: A
Question: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 100. How much did he have with him in the beginning?
Options:
A)Rs 200
B)Rs 250
C)Rs 300
D)Rs 450
E)Rs 550
Rationale: Suppose the amount in the beginning was Rs ’x’
Money spent on clothes = Rs 1x/3 Balance = Rs 2x/3
Money spent on food = 1/5 of 2x/3 = Rs 2x/15
Balance = 2x/3 - 2x/15 = Rs 8x/15
Money spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5
Therefore 2x/5 = 100 = 250
ANSWER:B
Answer: B
Question: A man said to his son, "I was two-third of your present age when you were born". If the present age of the man is 48 years, find the present age of the son?
Options:
A)25.7 years
B)28 years
C)29.3 years
D)28.8 years
E)29 years
Rationale: Explanation:
Present age of the son be P, he was born P years ago.
The age of the man was: (48 - P).
His age when the son was born should be equal to 2/3 of P.
(48 - P) = 2/3 P
5P = 144 => P = 28.8
ANSWER IS D
Answer: D
Question: The cost of one photocopy is $0.02. However, a 25% discount is offered on orders of more than 100 photocopies. If Steve and Danny have to make 80 copies each, how much will each of them save if they submit a single order of 160 copies?
Options:
A)$0.32
B)$0.40
C)$0.45
D)$0.48
E)$0.54
Rationale: If Steve and Danny submit separate orders, each would be smaller than 100 photocopies, so no discount. Each would pay (80)*($0.02) = $1.60, or together, a cost of $3.20 --- that's the combined no discount cost.
If they submit things together as one big order, they get a discount off of that $3.20 price ---- 25% or 1/4 of that is $0.80, the discount on the combined sale. They each effective save half that amount, or $0.40. Answer =(B).
Answer: B
Question: 6 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
Options:
A)19
B)20
C)30
D)33
E)34
Rationale: Though 2*(6C2) is the correct approcah to do this, but for people like me who find Perm, Comb n Prob a nightmare, an easy approach can be used.
The first guy has to play 2 matches with the rest of 5, so he'll play 10 matches.
Similarly, second guy has to play with the rest of 4 as his 2 games with the first guy are already played. So he plays 8matches.
This continues like this and the total matches are 10+8+6...+2
10+8+...+2 = 2(5+4+...+1) = 2((5*6)/2) = 5*6 = 30.
ANSWER:C
Answer: C
Question: Jim is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be Canola oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If Jim accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be Canola oil?
Options:
A)15/29
B)5/8
C)5/16
D)1/2
E)13/27
Rationale: Canola oil = 5/8 = 15/24 --> 15 parts out of 24;
Vinegar = 1/4 = 6/24 --> 6 parts out of 24;
Salt + pepper + sugar = 1-(15/24+6/24)= 3/24, so each = 1/24 --> 1 part out of 24 each;
If vinegar = 12 (instead of 6) and sugar = 0 (instead of 1) then total = 15+12+1+1+0 = 29 parts out of which 15 parts are Canola oil --> proportion = 15/29.
Answer: A.
Answer: A
Question: A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 57.76, the number of the member is the group is:
Options:
A)57
B)76
C)77
D)87
E)97
Rationale: Money collected =(57.76 x 100) paise = 5776 paise
numbers of members = 5776 squareroot = 76
Answer B
Answer: B
Question: The sum of the squares of three numbers is 100, while the sum of their products taken two at a time is 48. Their sum is:
Options:
A)20
B)30
C)40
D)50
E)None of these
Rationale: x^+y^2+z^2=100
xy+yz+zx=48
as we know.. (x+y+z)^2=x^2+y^2+z^2+2(xy+yz+zx)
so (x+y+z)^2=100+(2*48)
(x+y+z)^2=196
so x+y+z=14
ANSWER:E
Answer: E
Question: Find the value of 72519 x 9999 = m?
Options:
A)434539873
B)355797990
C)435453490
D)725117481
E)873430134
Rationale: 72519 x 9999 = 72519 x (10000 - 1)
= 72519 x 10000 - 72519 x 1
= 725190000 - 72519
= 725117481
D
Answer: D
Question: Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. The children CEF have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
Options:
A)600
B)720
C)1440
D)4320
E)4800
Rationale: for such questions , we can treat both as one then total person=5..
these 5 can be arranged in 5! ways.. but within these 5 , one consists of two people who can be arranged in 6 ways CEF .. so ans =5!*6=720
ans B
Answer: B
Question: A man gets a simple interest of Rs.200 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.
Options:
A)Rs.102.5
B)Rs.250
C)Rs.5012.50
D)Rs.5062.50
E)None of these.
Rationale: Let the principal be Rs.P
S.I at 5% p.a in 8 years on Rs.P = Rs.200
(P)(8)(5)/100 = 200
P = 500
C.I on Rs.2P i.e., Rs.1000 at 5% p.a in two years
=1000{ [1 + 5/100]2 - 1} = 1000{ 212 - 202 /202}
= Rs.102.5
ANSWER:A
Answer: A
Question: Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 5, what is the probability that one of the two cards drawn is numbered 3 ?
Options:
A)1/3
B)1/2
C)1/4
D)1/5
E)1/6
Rationale: (3,2) (2,3) (4,1) (1,4) – only 4 possible scenarios for sum to be 5. One from this 4 has already happened.
From this four cases, only in two we have 3. So, the probability is 2 chances out of 4 that the one that occurred had 3: P=2/4.=1/2
Answer: B.
Answer: B
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45kmph. For how many minutes does the bus stop per hour?
Options:
A)12
B)11
C)10
D)9
E)8
Rationale: Explanation:
Speed of the bus excluding stoppages =54 kmph
Speed of the bus including stoppages =45 kmph
Loss in speed when including stoppages =54âˆ’45=9 kmph
â‡’ In 1 hour, bus covers 9 km less due to stoppages.
Hence, time in which the bus stops per hour
= Time taken to cover 9 km
=distance/speed =9/54hour=1/6hour=60/6min=10min
ANSWER IS C
Answer: C
Question: In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
Options:
A)978
B)874
C)1076
D)1176
E)1267
Rationale: 80x + 400 = 12(x – 5)
x = 6.76
100 * 6.76 + 400 = 1076
ANSWER:C
Answer: C
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?
Options:
A)Rs.18390
B)Rs.10376
C)Rs.10456
D)Rs.10364
E)Rs.10500
Rationale: Simran : Nanda = (50000 * 36) : (80000 * 30) = 3:4
Simran's share = 24500 * 3/7 = Rs. 10500
Answer:E
Answer: E
Question: Benny goes to the market for buying some apples to be distributed between her nine kids equally.She takes 420 dollars with her .The cost of each apple is 4 dollars .How many apples does she buy to share them equally between her five kids?
Options:
A)8
B)9
C)3
D)21
E)10
Rationale: cost of each apple = 4 dollars
Apples that Benny can buy with the amount she has=420/4 = 90.
Apples that each kid gets evenly = 105/5 =21 Apples.
So the answer is D=21
Answer: D
Question: Akash leaves Chennai at 6am & reaches Bangalore at 10am. Prakash leaves Hyderabad at 8 am and reaches Chennai at 11:30 am. At what time do they cross each other?
Options:
A)5 : 50am
B)7 : 56am
C)8 : 56am
D)9 : 00am
E)9 : 15am
Rationale: Time taken by Akash = 4 h
Time taken by Prakash = 3.5 h
For your convenience take the product of times taken by both as a distance.
Then the distance = 14km
Since, Akash covers half of the distance in 2 hours(i.e at 8 am)
Now, the rest half (i.e 7 km) will be coverd by both prakash and akash
Time taken by them = 7/7.5 = 56 min
Thus , they will cross each other at 8 : 56am.
C
Answer: C
Question: If an integer n is to be selected at random from 1 to 100, inclusive, what is probability n(n+1) will be divisible by 8?
Options:
A)1/4
B)1/3
C)1/2
D)2/3
E)3/4
Rationale: because n(n+1) is always an even product of even*odd or odd*even factors,
there is a probability of 1 that that it will be divisible by 2,
and, thus, a probability of 1/2 that it will be divisible by 4
and, thus, a probability of 1/4 that it will be divisible by 8
1*1/4=1/4
Answer : A
Answer: A
Question: If x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y?
Options:
A)3
B)5
C)6
D)8
E)9
Rationale: Try each answer choices.
For A: 7 + 3 + xy = 21; xy = 11 (impossible, 11 prime number. 1 + 11 doesn't equal 3)
For B: 7 + 5 + xy = 21; xy = 9 (no combination of xy = 9 and x + y = 5)
For C: 7 + 6 + xy = 21; xy = 8 (x + y = 6; x = 2, y = 4 or x = 4, y = 2)
For D: 7 + 8 + xy = 21; xy = 6 (no combination of xy = 6 and x + y = 8)
For E: 7 + 9 + xy = 21; xy = 5 (impossible, 5 prime number. 1 + 5 doesn't equal 9)
Therefore, answer C.
Answer: C
Question: What is greatest positive integer n such that 2^n is a factor of 12^12?
Options:
A)a)10
B)b)12
C)c)16
D)d)24
E)e)60
Rationale: The given number is 12^12
=(2*2*3)^12
=(2^24)*(3^12)
So the greatest possible value for n such that 2^n can be factor of given number is 24.
Answer D
Answer: D
Question: A river 7m deep and 75 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is?
Options:
A)54996.5
B)32296.5
C)34996.5
D)34996.5
E)31255.5
Rationale: Rate of water flow-4kmph--4000/60--66.66 m/min
depth of river--7m
width of river--75m
vol of water per min--66.66 *7*75---34996.5
Answer C
Answer: C
Question: Express 20 mps in kmph?
Options:
A)72
B)88
C)90
D)21
E)24
Rationale: 20 * 18/5 = 72 kmph
Answer: A
Answer: A
Question: Five different books (A, B, C, D and E) are to be arranged on a shelf. Books C and D are to be arranged first and second starting from the right of the shelf. The number of different orders in which books A, B and E may be arranged is
Options:
A)5!
B)3!
C)2!
D)3! * 2!
E)None
Rationale: Solution
Since books C and D are arranged first and second, only books A, B and E will change order. Therefore it an arrangement problem involving 3 items and the number of different order is given by
3!
Answer B
Answer: B
Question: Mike buys 3 cartons of eggs at the store. Each carton has 12 eggs. How many eggs does mike have?
Options:
A)12
B)18
C)36
D)35
E)16
Rationale: 12 eggs x 3 cartons =36 eggs
12 X 3 = 36
C.36
Answer: C
Question: 24 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?
Options:
A)625
B)600
C)552
D)676
E)700
Rationale: we can go in any bus out of the 24 buses.
Hence He can go in 24 ways.
Since we can not come back in the same bus that he used for travelling,
we can return in 23 ways.
Total number of ways = 24 x 23 = 552
ANSWER:C
Answer: C
Question: 3 candidates in an election and received 5136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
A)45%
B)48%
C)57%
D)59%
E)61%
Rationale: Total number of votes polled = (5136 + 7636 + 11628) = 24400
So, Required percentage = 11628/24400 * 100 = 48%
B
Answer: B
Question: Which of the following number is divisible by 24 ?
Options:
A)3125712
B)3125717
C)3125725
D)3125736
E)3125745
Rationale: 24 = 3 x8, where 3 and 8 co-prime.
Clearly, 35718 is not divisible by 8, as 718 is not divisible by 8.
Similarly, 63810 is not divisible by 8 and 537804 is not divisible by 8.
Consider option (D),
Sum of digits = (3 + 1 + 2 + 5 + 7 + 3 + 6) = 27, which is divisible by 3.
Also, 736 is divisible by 8.
3125736 is divisible by (3 x 8), i.e., 24
D)
Answer: D
Question: In a group of 120 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20?
Options:
A)0.1
B)0.13
C)0.2
D)0.25
E)0.3
Rationale: Number of people whose age is less than 20 is given by
120 - 90 = 30
Probability P that a person selected at random from the group is less than 20 is gieven by
30 / 120 = 0.25
correct answer D
Answer: D
Question: If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
Options:
A)4:5
B)4:7
C)5:3
D)3:5
E)3:5
Rationale: Let 40% of A = 2/3 B. Then,
40A/100 = 2B/3 => 2A/5 = 2B/3
A/B = (2/3 * 5/2) = 5/3
A:B = 5:3.
Answer: C
Answer: C
Question: A teacher gave the same test to three history classes: A, B, and C. The average (arithmetic mean) scores for the three classes were 65, 70, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?
Options:
A)71
B)75
C)76
D)77
E)78
Rationale: ratio is 4:6:5 , numbers are 4x, 6x, 5x
total scores of each class is (65*4x + 6x * 70 + 77*5x) = 260x+420x+385x = 1065x
total number of students = 15x
average = 1065x/15x = 71
A is the answer
Answer: A
Question: 4400÷22÷10=?
Options:
A)43
B)20
C)24
D)25
E)32
Rationale: 4400 ÷ 22 = 200
200 ÷ 10 = 20
Answer is B
Answer: B
Question: If X is the sum of first 100 positive even integers and Y is the sum of first 100 positive odd integers, what is the value of x-y?
Please try to explain your answers
Options:
A)0
B)25
C)50
D)75
E)100
Rationale: First even minus first odd = 2-1 = 1;
The sum of first 2 even integers minus the sum of first 2 odd integers = (2+4)-(1+3) = 2;
The sum of first 3 even integers minus the sum of first 3 odd integers = (2+4+6)-(1+3+5) = 3;
We can see the patterns here, so the sum of first 100 positive even integers minus the sum of first 100 positive odd integers will be 100.
Answer: E.
Answer: E
Question: A car covers a distance of 640 km in 5 hours. Find its speed?
Options:
A)104
B)288
C)271
D)276
E)128
Rationale: 640/5 = 128 kmph
Answer: E
Answer: E
Question: Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years.
Options:
A)Rs 1052
B)Rs 1152
C)Rs 1252
D)Rs 1352
E)None of these
Rationale: Explanation:
S.I. = 956 - 800 = Rs 156
R=156∗100 /800∗3
R=6 1/2%
New Rate = 6 1/2+4
=21/2%
New S.I. = 800×21/2×3100=252
Now amount will be 800 + 252 = 1052
Option A
Answer: A
Question: A rectangular lawn of length 200m by 120m has two roads running along its center, one along the length and the other along the width. If the width of the roads is 5m what is the area Y covered by the two roads?
Options:
A)400
B)1550
C)1575
D)1600
E)1625
Rationale: Area Covered by Road Along the Length = 5*200 = 1000 Square Meter
Area Covered by Road Along the Width = 5*120 = 600 Square Meter
Common Area in both Roads (where the roads intersect) = Square with Side 5 meter = 5*5 = 25
Total Area of the Roads Y= 1000+600-25 = 1575
Answer: option C
Answer: C
Question: Pipe A can fill a tank in 32 minutes. Pipe B can fill the same tank 5 times faster than pipe A. If both the pipes are connected to the tank so that they fill the tank simultaneously, how long will it take for the empty tank to overflow?
Options:
A)4 minutes
B)2/7 minutes
C)32/7 minutes
D)224/7 minutes
E)28 minutes
Rationale: Pipe A can fill a tank in 32 minutes --> the rate of A = 1/32 tank/minute;
Pipe B can fill the same tank5 times fasterthan pipe A --> the rate of B = 1/32 + 5/32 = 6/32 tank/minute.
Their combined rate = 1/32 + 6/32 = 7/32 tank/minute;
Therefore, A and B can fill the tank in 32/7 minutes.
Answer: C
Answer: C
Question: Find the unit's digit in 264^102+264^103
Options:
A)zero 0
B)1
C)2
D)4
E)5
Rationale: Required unit's digit = unit's digit in 4102+4103.4102+4103.
Now, 4242 gives unit digit 6.
⇒ 41024102 gives unit digit 6.
⇒ 41034103 gives unit digit of the product 6×46×4 i.e., 4.
Hence, unit's digit in 264102+264103264102+264103
= unit's digit in (6+4)=0
A
Answer: A