divelab/Sys2Bench huggingface dataset:
Question: A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 0, 1, 2, 7, or 8. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will be able to find the correct number in at most 2 attempts is closest to which of the following ?
Options:
A)1/625
B)2/625
C)50/625
D)75/625
E)90/625
Rationale: I think most of the answers are missing a point. Let me try to put it across:
Total number of possible numbers are : 5x5 = 25
Correct number =1
Case 1: When he gets it right in first attempt: P(E1) = 1/25
Case 2: He gets 1st attempt wrong and second right:
When he gets it wrong then the probability of getting wrong is 24/25.
Now there are 24 cases with him and he chooses the right one this time.
Probability of right case is 1/24
Thus, P(E2) = 24/25 x 1/24
=1/25
Probability of getting it right in at most two cases = P(E1) + P(E2)
= 1/25 + 1/25
= 2/25
= 50/625
Option (C) is therefore right as most of you mentioned but the method employed was wrong.
Answer: C
Question: The value of a stock is X dollars. On Sunday the stock's value grew by half of its value, but on Monday its value dropped to a third of its new value. What is the stock's value at the end of Monday?
Options:
A)X.
B)X/2.
C)2X/3
D)X/3
E)X/4.
Rationale: Given the value of stock is X dollars.
Then on Sunday the stock's value is increased by half i.e. X + X/2 = 3X/2 ( this is the new value)
Then on Monday its value dropped by 1/3 of new value = 1/3(3X/2) = 3X/6
Then 3X/2 - 3X/6 = 6X/6 = 6. (new value - 1/3 value)
Ans: A is correct option..
Answer: A
Question: Jim travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hours at 24 mph speed. What is the average speed of Jim's travel in mph?
Options:
A)35.5mph
B)37.5mph
C)38.5mph
D)39.5mph
E)36.5mph
Rationale: 3 hours of his journey at 60 mph means 180 miles in 3 hours
5 hours at 24 mph speed means 120 miles in 5 hours. In total 300 miles in 8 hours.
Average Speed is ((3*60)+(5*24))/8 = 37.5mph
ANSWER:B
Answer: B
Question: If p is a positive integer and 10p/96 is an integer, then the minimum number ofuniqueprime factors p could have is H:
Options:
A)H=1
B)H=2
C)H=3
D)H=4
E)H=5
Rationale: 10p/96 should resolve to a integer => 5p/48 should resolve to an integer.
Hence p/48 should resolve to a integer.
48 -- > 2^4 * 3.
Hence p should have atleast 2^4*3 for p/48 to resolve to a int.
The unique prime factors in 2^4 * 3 is 2, 3 and hence the answer is B(2).
Answer: B
Question: 5358 x 51 = ?
Options:
A)273258
B)273158
C)273268
D)283258
E)262268
Rationale: 5358 x 51	= 5358 x (50 + 1)
= 5358 x 50 + 5358 x 1
= 267900 + 5358
= 273258
Answer is A.
Answer: A
Question: How many possible integer values are there for x if |4x - 3| < 6 ?
Options:
A)One
B)Two
C)Three
D)Four
E)Five
Rationale: Solution: |4x-3| < 6
let 4x=a therefore we have |a-3| < 6 ==> read this as origin is at +3 and we have to move +6 to the right and -6 to the left
(the less than sign represents that the a must be within boundaries )
(3-6)----------3----------(3+6)
now, we have -3<a<9
but a =4x ==> -3<4x<9
dividing all values by +4 we have -0.75 <x < 2.24
Now question says Integer values (not rational ) therefore we have 0,1,2
ANSWER:C
Answer: C
Question: what is the distance between two parallel chords of length 32 cm and 24 cm in a circle of radius 20 cm ?
Options:
A)1 or 7
B)3 or 21
C)4 or 28
D)2 or 14
E)5 or 14
Rationale: since the chord length=2sqrrt(r^2-d^2)
chord length=32,r=20 then we get d=12
chord length=24,r=20 then we get d=16
then we add/subtract we get option c) 4 or 28
ANSWER:C
Answer: C
Question: 0.0006688/0.0000150 x 19.85 = ?
Options:
A)850
B)900
C)950
D)1000
E)2000
Rationale: Explanation :
? = 6688/150 x 19.85 = 45 x 20 = 900
Answer : Option B
Answer: B
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Options:
A)16 a.m
B)10 a.m
C)17 a.m
D)76 a.m
E)11 a.m
Rationale: Suppose they meet x hours after 7 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 110
45x = 135
x = 3.
So, they meet at 10 a.m.
Answer:B
Answer: B
Question: The velocity of a falling object in a vacuum is directly proportional to the amount of time the object has been falling. If after 7 seconds an object is falling at a speed of 90 miles per hour, how fast will it be falling after 12 seconds?
Options:
A)18 miles per hour
B)156 miles per hour
C)216 miles per hour
D)1080 miles per hour
E)5400 miles per hour
Rationale: Since Velocity is proportional to Time
Velocity =k*Timewhere k is the constant of proportionality
Time= 7 seconds
Velocity = 7k = 90 miles per Hour
i.e. k = 13
i.e. The relation between Velocity and Time becomes
Velocity =13*Time
Time= 12 seconds
Velocity = 13*12 = 156 miles per hour
Answer: Option B
Answer: B
Question: In a recent election, Geoff received 1 percent of the 6,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 3000 more votes to win the election, what is the value of x ?
Options:
A) 50
B) 54
C) 56
D) 51
E) 63
Rationale: Word problems are tricky in somehow more than other problem because you have the additional step to translate.
Breaking the problem: Geoff how many votes he receives ?? 60 votes
he needs 3571 more votes so : 60+3000= 3060
Now what's the problem wants ?? a x %........3060 is what % of total votes 6000........translating: 3060 = x/100 * 6000 ---
x= 51 %..........D
Answer: D
Question: When you multiply a number by 4 and
then subtract 7, the result is the same as
if you first subtracted 7 from the same
number and then multiplied by 11. What
is the number?
Options:
A)23
B)13
C)19
D)31
E)10
Rationale: Let x equal the number and then change the words into an equation and solve for x:
4x – 7 = 11(x – 7)
4x – 7 = 11x – 77
70 = 7x
10 = x
correct answer E)10
Answer: E
Question: As a treat for her two crying children, a mother runs to the freezer in which she has five cherry ice pops, three orange ice pops, and four lemon-lime ice pops. If she chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one invariably being jealous of the other and getting even more upset, what is the probability that she has to return to the freezer to make sure that they each receive the same flavor?
Options:
A)1/9
B)1/6
C)5/18
D)1/999
E)5/6
Rationale: Probability of not getting the same flavor ->
Favourable -> Cherry - orange [ 5C1 * 3C1 [or simply 5*3 ] or Cherry - lemon [ 5*4] or orange - lemon [3*4]
Prob = (5*3 + 5*4 + 3*4 ) / 9C2 = 47/47520 = 1/999
Answer -> D
Answer: D
Question: How many integerskgreater than 100 and less than 1200 are there such that if the hundreds and the units digits ofkare reversed, the resulting integer is k+99?
Options:
A)50
B)60
C)70
D)80
E)100
Rationale: Numbers will be like 102 => 201 = 102 + 99
203 => 302 = 103 + 99
so the hundereth digit and units digit are consecutive where unit digit is bigger than hundred digit.
There will be ten pairs of such numbers
for every pair there will 10 numbers like for 12 => 102, 112,132,142,152, 162,172,182,192.
Total = 10 *10 = 100 hence E
Answer: E
Question: A mall charges 50 cents for the first hour of parking and $4 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If a Rahul parked his car in the mall for 7 hours and 30 minutes, how much is he going to pay?
Options:
A)$25
B)$12.
C)$23.5
D)$24.5.
E)$25.5
Rationale: 0.50+4*4+2*4+0.50= $25
Answer: $25
Answer: A
Question: Tom and John traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour, respectively. After 15 minutes Tom passed John, Tom reaches a certain Gas station, how many L minutes it takes John to reach the station?
Options:
A)5 min
B)6 min
C)7 and 1/2 min
D)8 min
E)10 min
Rationale: Since the question states “after 15 minutes”, we can say Tom traveled 15/4km for 15 minutes as he can travel 15km per hour. Hence, using the same logic, we can say John traveled 10/4km as he travels 10km per hour. So, John has to travel (15/4)-(10/4)km=5/4km more. Since John’s speed is 10km/hour, which means 1km/6minutes. As he has to travel 5/4km more, it is going to take him 6(5/4) minutes. Hence,L 6(5/4)=15/2 minutes. The correct answer is C.
Answer: C
Question: A train traveling at 180 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds. What is the length of the platform in meters?
Options:
A)240 meters
B)360 meters
C)420 meters
D)600 meters
E)Cannot be determined
Rationale: Answer
Distance covered by the train when crossing a man and when crossing a platform
When a train crosses a man standing on a platform, the distance covered by the train is equal to the length of the train.
However, when the same train crosses a platform, the distance covered by the train is equal to the length of the train plus the length of the platform.
The extra time that the train takes when crossing the platform is on account of the extra distance that it has to cover. i.e., length of the platform.
Compute length of platform
Length of the platform = speed of train * extra time taken to cross the platform.
Length of platform = 180 kmph * 12 seconds
Convert 180 kmph into m/sec
1 kmph = 5/18 m/s (This can be easily derived. But if you can remember this conversion, it saves a good 30 seconds).
∴ 180 kmph = 5/18∗180 = 50 m/sec
Therefore, length of the platform = 50 m/s * 12 sec = 600 meters.
Choice D
Answer: D
Question: A certain gallery is hanging a series of 8 paintings. All the paintings will be exhibited in a row along a single wall. Exactly 2 of the paintings are on panel, the remainder are on canvas. In how many ways can the paintings be exhibited if the works on panel must be the second and sixth in the row?
OE
Options:
A)1440
B)200
C)122
D)80
E)16
Rationale: We need to consider them separately because the question specifies:
1. Panel paintings have to be placed only at 2nd and 6th place.
2. Implies that Canvas has to be placed 1,3,4,5,7, 8th place.
So we have two separatebucketsto consider.
So panels can be ordered in 2!
Canvas can be ordered in 6!
since relative position of panels to canvas is fixed (Panels 2nd and 6th) the answer is 2! x 6!=1440
A
Answer: A
Question: Perimeter of the backwheel =9 feet,front wheel=7 feet on a certain distance ,the front wheel gets 10 revolution more than the back wheel.what is the distance
Options:
A)315
B)2888
C)270
D)18191
E)112
Rationale: Let the backwheel made x revolutions then front wheel makes x + 10
x x 9 = (x + 10) x 7
x = 35
So distance traveled = 35 x 9 = 315
Answer:A
Answer: A
Question: In how many ways can 5 apples (identical) be distributed among 4 children? (Some children may get no apples.)
Options:
A)56
B)144
C)200
D)256
E)312
Rationale: Let's just represent apple by the letter A and assume that in order to distribute these apples to different people, we just need to partition them in to 4 baskets.
In order to partition the apples in to 4 baskets, we would need three Partition bars , as shown below:
A | A | AA | A
Child 1 Child 2 Child 3 Child 4
So basically we have 3 identical partition bars and 5 identical apples, how many ways can we arrange these?
8!/5!3! = 56
ANS:A
Answer: A
Question: A box contains seven bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Options:
A)34/35
B)125/186
C)125/126
D)125/186
E)125/128
Rationale: Required probability
= 1 - 1/35
= 34/35
Answer: A
Answer: A
Question: When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 12?
Options:
A)7
B)21
C)34
D)47
E)6
Rationale: So the number given is N = 143Q + 45
If this number is divided by 13, the remainder would be R[(143Q + 45)/13]
Since 143 is divisible by 13 , the product 143Q gives no remainder
This means the remainder of 45/13 should be the remainder of the entire number N
which is 6
To make it divisible by 13 , the smallest number that can be added = 12 - 6 = 6
Correct Option : E
Answer: E
Question: In a family 13 people eat only vegetarian, 8 people eat only non veg., 6 people eat both veg and non veg.. How many people eat veg in the family?
Options:
A)20
B)11
C)19
D)31
E)21
Rationale: Total people eat veg = only veg + both veg and non veg
Total= 13+6= 19
Answer = C
Answer: C
Question: A certain fraction has the same ratio to 1/33, as 3/4 does to 7/11. What is this certain fraction?
Options:
A)1/14
B)1/18
C)1/21
D)1/25
E)1/28
Rationale: x / (1/33) = (3/4) / (7/11)
x = 3*11*1 / 33*4*7 = 1/28
The answer is E.
Answer: E
Question: A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many science books were there at the starting?
Options:
A)650
B)670
C)700
D)800
E)890
Rationale: science books sold = 2x × 0.2 = 0.4x
science books unsold = 2x – 0.4x = 1.6x
art books sold = 5x × 0.2 = x
art books unsold = 5x – x = 4x
total books unsold = 1.6x + 4x = 5.6x
5.6x = 2240
x = 400
2x science = 800
D
Answer: D
Question: In how many ways can 5 boys be allotted four different HOSTEL ROOMS such that none of the rooms are empty and all the 5 boys are accommodated?
Options:
A)260
B)240
C)280
D)290
E)300
Rationale: 4 boys can be selected from 5 boys in 5C4 ways = 5
4 boys can be arranged in 4 rooms in 4! ways
and since 1 boy has to share a room with one of the 4 boys, therefore total ways = 2! = 2
Hence total number of ways in which allocation can be done = 5C4 * 4! * 2! = 5*2*4! =240
B
Answer: B
Question: A person travels from X to Y and vice versa. How long will it take to travel both the ways by bus?
(A) It takes 15 hours in travelling from X to Y by train and returning by bus.
(B) The distance between two places is 360 km.
(C) He can save 3 hrs if he travels both the ways by train.
Options:
A)A and B together
B)B and C together
C)A and C together
D)Any two of them
E)All statements are required
Rationale: from x to y and y to x it takes 15hrs
let time taken by train be a and by bus be b
so a+b=15
train takes 3 hrs less i.e,
a+a=12
2a=12
a=6
6+b=15
b=9
2b=18hrs
ANSWER:C
Answer: C
Question: what is the remainder when 788863203 is divided by 990
Options:
A)693
B)369
C)769
D)639
E)469
Rationale: 788863203 / 990
788863203 / 9*110
87651467 / 110 => rem = 77
we have cancelled it by 9
reqd remainder = 9*77 = 693
ANSWER:A
Answer: A
Question: A man purchased 5 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Options:
A)A)250
B)B)350
C)C)450
D)D)470
E)E)500
Rationale: Explanation:
10 * 150 = 1500
5 * 100 + 5 * 150 = 1250
1500 – 1250 = 250
A
Answer: A
Question: The standard serial numbers for a temporary ID card in a institution are 2 letters followed by 5 digits. How many different ID cards are possible if letters and digits can be repeated?
Options:
A)26 × 3 × 10 × 4
B)26 × 25 × 24 × 10 × 9 × 8 × 7
C)26³ × 9 × 9 × 9 × 9
D)26 × 25 × 24 × 10 000
E)26 x 26 x 100 000
Rationale: OFFICIAL SOLUTION:
(E) The formula for permutations of events is the product of the number of ways each event can occur. There are 26 letters and 10 digits. So there are 26 × 26 options for the two letters, and 10 × 10 × 10 × 10 x 10 for the five digits. The number of different license plates is 26 × 26 × 10 × 10 × 10 × 10 x 10 = 26 x 26 × 100 000.
The correct answer is choice (E).
Answer: E
Question: A number when divided by 20 leaves 6 as a remainder. What will be the remainder if the number is divided by 19?
Options:
A)7
B)6
C)5
D)11
E)13
Rationale: Let the minimum whole number be 20+6=26 where 6 is the remainder.
26 when divided by 19 then leaves 7.
Correct answer A.
Answer: A
Question: If p and q are positive integers each greater than 1, and 15(p+1)=29(q+1), what is the least possible value of p+q?
Options:
A)36
B)42
C)44
D)46
E)none
Rationale: 17(p+1)=29(q+1) --> (p+1)/(q+1) = 29/17 --> the least positive value of p+1 is 29, so the least value of p is 28 and the least positive value of q+1 is 15, so the least value of q is 14 --> the least value of p+q is 28+14=42.
Answer: B.
Answer: B
Question: If (1/2)^22 (1/81)^k = 1/18^22, then k =
Options:
A)8
B)12
C)16
D)24
E)11
Rationale: I'm going to focus on denominator only..
(2^22) . ((3^4)^k = 18^22
(2^22) . ((3^4k) = (2. 3^2)^22
(2^22) . ((3^4k) = (2^24) . (3^2)^22
hence
4k = 44
k = 11
answer E
I hope it's quite clear
Answer: E
Question: A circle is inscribed in a Triangle of side 6cm. And a square is inscribed in the Circle. What is the area of square?
Options:
A)4 cm^2
B)6 cm^2
C)5 cm^2
D)7 cm^2
E)8 cm^2
Rationale: the radius of the incircle in a equilateral triangle is a/2(sqrt)3 where a=side of triangle=6 cm
so the diameter of the circle would be the diagonal of square
so diagonal=2*a/2(sqrt)3=a/(sqrt)3
so area of square=1/2*(diagonal)^2=6*6/2*3=6 cm^2
ANSWER:B
Answer: B
Question: For any numbers a and b, a#b = ab(7 − b). If a and a#b both represent positive numbers, which of the following could be a value of b?
Options:
A)6,5,
B)6,5,4,
C)6,5,4,3,
D)6,5,4,3,2
E)6,5,4,3,2,1
Rationale: a#b positive then b may be positive or negative. if positive then b< 7 may be 6,5,4,3,2 or 1 and if negative then it is more than or equal to - 1 negative . ab will be -ve which is not possible as a and a#b should be positive.
ans 6,5,4,3,2,1
E
Answer: E
Question: Mr. Thomas invested an amount of 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be 3508, what was the amount invested in Scheme B?
Options:
A)6400
B)6500
C)7200
D)7500
E)None
Rationale: Explanation: Let the sum invested in Scheme A be x and that in Scheme B be (13900 - x).
Then, (x x 14 x 2)/100 + ((13900 - x) x 11 x 2)/100 = 3508
28x - 22x = 350800 - (13900 x 22)
6x = 45000
x = 7500.
So, sum invested in Scheme B = (13900 - 7500) = 6400.
Answer: Option A
Answer: A
Question: 4 different airplanes owned by a rock band will be refueling today at the same airport. There are 2 larger planes carrying people and 2 smaller planes carrying equipment. All tanks are empty and will need to be filled completely. The 2 smaller tanks hold 60 liters each and the larger tanks are 50% bigger. Fuel is .50 cents a liter and there is a charge of $100 service for each plane. How much will it cost to fill all 4 planes?
Options:
A)$475
B)$500
C)$525
D)$550
E)$575
Rationale: Lots of calculations.
100*4 + 2*60*.50+ 60*(3/2)*2*.50
Answer=$550
The correct option is D
Answer: D
Question: The ratio between the length and the breadth of a rectangular plot is 7 : 5. If the perimeter of the plot is 432 metres, what is its area?
Options:
A)11320 sq.metres
B)11260 sq.metres
C)11280 sq.metres
D)11340 sq.metres
E)None of these
Rationale: Let the length and breadth be 7x and 5x respectively.
Then, P = 2(7x + 5x) = 432â‡’ x = 18
Area = 7 Ã— 18 Ã— 5 Ã— 18 = 11340 sq.m.
Answer D
Answer: D
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
A)28 sec
B)16 sec
C)21 sec
D)11 sec
E)18 sec
Rationale: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35
= 16 sec
Answer:B
Answer: B
Question: The number of boxes in a warehouse can be divided evenly into 9 equal shipments by boat or 24 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?
Options:
A) 27
B) 33
C) 72
D) 81
E) 162
Rationale: Answer is the LCM of 9 and 24
= 72
Answer C
Answer: C
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre
Options:
A)22488
B)16500
C)27889
D)23778
E)29982
Rationale: Explanation:
Area = 5.5 × 3.75 sq. metre.
Cost for 1 sq. metre. = Rs. 800
Hence total cost = 5.5 × 3.75 × 800 = 5.5 × 3000 = Rs. 16500
Answer: B) Rs.16500
Answer: B
Question: By selling a house for Rs.45000, it was found that 1/4 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Options:
A)38020
B)38000
C)38028
D)38019
E)34200
Rationale: CP + CP/4 = 45000
CP = 36000
SP = 36000*(95/100)
=34200
Answer: E
Answer: E
Question: 9 friends bought a building together for 1 million dollars. If the each person in the entire group has to pay the same amount and none of them have bills smaller than $1, how much money would they each have to pay?
Options:
A)$1,000,000
B)$1,000,001
C)$1,000,004
D)$1,000,007
E)$1,000,009
Rationale: In order to divide the sum in 9 parts, the amount must be divisible by 9
Divisibility rule of 9: The sum of the digits must be divisible by 9
Sum of digits of 1,000,000 = 1 and 9 is divisible by 9.
Hence, we need to add 9 to this number for it to be divisible by 9
Correct Option: E
Answer: E
Question: Of the 55 cars on a car lot, 40 have air-conditioning, 25 have power windows, and 12 have both air-conditioning and power windows. How many of the cars on the lot have neither air-conditioning nor power windows?
Options:
A) 15
B) 8
C) 10
D) 2
E) 18
Rationale: Total -Neither = All Air Conditioning + All Power Windows - Both
or 55 - Neither = 40 + 25 -12 = 53.
=> Neither = 2, hence D.
Answer : D
Answer: D
Question: In a tree, 3/5 of the birds are parrots while the rest are toucans. If 1/3 of the parrots are female and 3/4 of the toucans are female, what fraction of the birds in the tree are male?
Options:
A)1/2
B)2/5
C)3/5
D)3/10
E)7/10
Rationale: The fraction of birds that are male parrots is (2/3)(3/5)=2/5.
The fraction of birds that are male toucans is (1/4)(2/5)=1/10.
The total fraction of male birds is 2/5 + 1/10 = 1/2.
The answer is A.
Answer: A
Question: there is four different color cloth strip.how many different flag you can make using these strip?if you want to to make multicolour flag then you must use different strip horizontally.
Options:
A)50
B)64
C)48
D)120
E)24
Rationale: total no.of flag using all four strip=4P4=4!=24
total no. of flag using three strip=4P3=4!/1!=24
total no. of flag using two strip=4P2=4!/2!=12
total no. of flag using one strip=4P1=4!/3!=4
total no. of flag=24+24+12+4=64
answer B
Answer: B
Question: The difference between the local value and the face value of 7 in the numerical 32675149 is
Options:
A)75142
B)64851
C)5149
D)69993
E)None of them
Rationale: =(local value of 7)-(Face value of 7)
=(70000-7)
=69993
Answer is D
Answer: D
Question: 7, 35, 56, 91, 126
In the sequence above, each term is related with the others. Which of the following could not be a term in the sequence?
Options:
A)398
B)259
C)322
D)686
E)847
Rationale: Simplifying the question into easier words we just need to find which of the numbers is not divisible by 7
clearly the answer is 398 because if we divide 398 by 7 we get a remainder of 56.85
Correct answer - A
Answer: A
Question: John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Options:
A)15%
B)16.66%
C)17.8%
D)19%
E)21%
Rationale: Increase = (10/60)*100 = (1/6)*100 = 16.66%.
B
Answer: B
Question: Rahul went to a shop and bought things worth Rs. 45, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Options:
A)A)19.7
B)B)19.9
C)C)20.9
D)D)21.9
E)E)39.7
Rationale: Total cost of the items he purchased = Rs.45
Given that out of this Rs.45, 30 Paise is given as tax
=> Total tax incurred = 30 Paise = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (45−30/100−x)6/100 = 30/100
⇒ 6(45 −0.3 −x) = 30
⇒ (45 − 0.3 − x) = 5
⇒ x = 45 − 0.3 − 5 = 39.7
E)
Answer: E