divelab/Sys2Bench huggingface dataset:
Question: One hour after Jerry started walking the 60 miles from X to Y, James started walking from X to Y as well. Jerry walks 3 miles per hour and James walks 1 mile per hour faster than Jerry . How far from X will James be when he catches up to Jerry ?
Options:
A)12 miles
B)9 miles
C)10 miles
D)11 miles
E)13 miles
Rationale: One hour after Jerry started walking the 60 miles from X to Y, James started walking from X to Y as well. Jerry walks 3 miles per hour and James walks 1 mile per hour faster than Jerry . How far from X will James be when he catches up to Jerry ?
First, determine how far Jerry has walked in the one hour. he has walked three miles which means she is three miles ahead of James when he sets off. James walks at four miles/hour which means that every hour, james will get one mile closer to Jerry . If he gets one mile closer every hour, it will take him three hours to catch up to her which means he travels 3hours * 4 miles/hour = 12 miles and he travels 4 hours * 3 miles/hour = 12 miles. He will be 12 miles from X when he catches up to her.
A slightly different way to solve...
We don't know how long they will walk before they catch up to one another but we do know that A walks for one hour more than J. J = T and A = T+1. We are looking for the distance at which they meet up which means the distance will be the same. D=r*t so,
r*t (james) = r*t (Jerry )
r*(t) = r*(t+1)
4t = 3t+3
t=3
d=r*t
d=4*3
d=12
answer is A
Answer: A
Question: A train 108 m long moving at a speed of 50 kmph crosses a train 112 m long coming from opp direction in 6 seconds.The speed of the second train is
Options:
A)48 kmph
B)54 kmph
C)66 kmph
D)82 kmph
E)69 kmph
Rationale: both trains are moving in opposite direction means we need to add their speeds.
i.e: 1st train speed is = 50kmph
let the 2nd train speed = x kmph
relative speed = (50+x) kmph
= (50+x)* 5/18
= (250+5x)/18 m/sec
Distance covered by two trains = 108+112
= 220m
therefore, 220/((250+5x)/18) = 6
=> 250+5x=660
=> x=82km/hr.
ANSWER:D
Answer: D
Question: By selling 99 pens, a trader gains the cost of 33 pens. Find his gain percentage?
Options:
A)33 1/3%
B)33 7/3%
C)33 1/8%
D)32 1/3%
E)33 1/5%
Rationale: Let the CP of each pen be Rs. 1.
CP of 99 pens = Rs. 99
Profit = Cost of 33 pens
= Rs. 33
Profit% = 33/99 * 100
= 33 1/3%
Answer: A
Answer: A
Question: If 2|2 –e| = 5, what is the sum of all the possible values for e ?
Options:
A)1/2
B)2
C)5/2
D)4
E)5
Rationale: if e<2, then 2-e=5/2; e=-1/2
if e>2 , then e-2=5/2; e=9/2
9/2-1/2=8/2=4=D
Answer: D
Question: A is the son of C; C and Q are sisters; Z is the mother of Q and P is the son of Z. Which of the following statements is true?
Options:
A)P and A are cousins
B)P is the maternsl uncle of A
C)Q is the maternal grandfather of A
D)C and P are sisters
E)none
Rationale: P is the maternsl uncle of A
ANSWER:B
Answer: B
Question: I have a huge bed-sheet of 1 meter long.
I want to cuts this role into pieces of 20 centimeter long cloth.
How long will it take me to cut the bed sheet if each 20 centimeter cut took me 5 minutes ?
Options:
A)200 minutes
B)245 minutes
C)140 minutes
D)220 minutes
E)324 minutes
Rationale: B
245 minutes
It will take 49 cuts not 50.
so 49*5 => 245 minutes
Answer: B
Question: Find large number from below question The difference of two numbers is 1325. On dividing the larger number by the smaller, we get 5 as quotient and the 5 as remainder
Options:
A)1650
B)1324
C)1245
D)1300
E)1635
Rationale: Let the smaller number be x. Then larger number = (x + 1325).
x + 1325 = 5x + 5
4x = 1320
x = 330
Large number = 330+1320 = 1650
Answer : A
Answer: A
Question: If two-third of a bucket is filled in 2 minutes then the time taken to fill the bucket completely will be .
Options:
A)3 minutes
B)70 seconds
C)60 seconds
D)100 seconds
E)120 seconds
Rationale: 2/3 filled in 2 mint
1/3 filled in 1 mint
then 2/3+1/3= 2 + 1 = 3 minutes
ANSWER: A
Answer: A
Question: A salt solution contains 15 grams of salt per 1000 cubic centimeters of solution. If 25 cubic centimeters of the solution were poured into an empty container, how many grams of salt would be in the container?
Options:
A) 0.550
B) 0.350
C) 0.450
D) 0.700
E) 0.375
Rationale: We are given that a salt solution contains 15 grams of salt per 1000 cubic centimeters of solution. Since we are dealing with a solution, we know that the grams of salt is proportional to the number of cubic centimeters of solution. Thus, to determine how many grams of salt would be in the container when we have 25 cubic centimeters of solution, we can set up a proportion.
We can say: “15 grams of salt is to 1000 cubic centimeters of solution as x grams of salt is to 25 cubic centimeters of solution.” Let’s now set up the proportion and solve for x.
15/1000 = x/25
When we cross multiply we obtain:
(15)(25) = 1000x
375 = 1000x
0.375 = x
There are 0.375 grams of salt in the solution in the container.
The answer is E.
Answer: E
Question: In a certain animal shelter, the ratio of the number of catsto the number of dogs is 15 to 7. If 12 additional dogs were to be taken in by the shelter, the ratio of the number of cats to the number of dogs would be 15 to 11. How many cats are in the shelter?
Options:
A)15
B)45
C)30
D)45
E)60
Rationale: This ratio question can be solved in a couple of different ways. Here's an Algebraic approach...
We're told that the ratio of the number of cats to the number of dogs is 15:7. We're then told that 12 more dogs are added to this group and the ratio becomes 15:11. We're asked for the number of cats.
Algebraically, since the number of cats is a multiple of 15 and the number of dogs is a multiple of 7, we can write this initial relationship as...
15X/7X
When we add the 12 cats and factor in the 'ending ratio', we have an equation....
15X/(7X+12) = 15/11
Here we have 1 variable and 1 equation, so we can solve for X....
(15X)(11) = (7X+12)(15)
(X)(11) = (7X+12)(1)
11X = 7X + 12
4X = 12
X = 3
With this X, we can figure out the initial number of dogs and cats...
Initial dogs = 15X = 15(3) = 45
Final Answer: B
Answer: B
Question: The water level in a reservoir has been dropping at the rate of 14 inches per day. Exactly 4 days ago, the water level was at w inches. What will be the water level exactly 4 days from now if the rate at which the level is dropping remains the same?
Options:
A)w − 126
B)w − 112
C)w − 14
D)w + 14
E)w + 126
Rationale: Drop=14 inches/day
4 Days ago=w, means now it's equal w-56 and in 4 days = w-56-56=w-112
Answer B
Answer: B
Question: How many integers between 50 and 200 are there such that their unit digit is odd?
Options:
A)100
B)120
C)75
D)50
E)150
Rationale: 150 numbers between - 50 and 200
Out of which half would be even, half odd.
Number of odd unit digit number = 75.
correct option is C
Answer: C
Question: In how many ways can 5 different candies be distributed in 4 identical baskets?
Options:
A)120
B)51
C)24
D)5^4
E)4^5
Rationale: 5-N-N-N : 5C5 = 1 - OK
4-1-N-N : 5C4 *1C1 = 5 - OK
3-2-N-N : 5C3*2C2 = 10 - OK
3-1-1-N : 5C3*2C1*1C1 = 20 - NO - only 10, once you decide to split the remaining two after choosing the 3 before, no factor of 2 needed
2-2-1-N : 5C2*3C2*1C1 = 30 - NO - it is 15 = 30/2; baskets being identical, doesn't matter which group of 2 you choose first
2-1-1-1 : 5C2*3*2*1 = 60 - NO - only 10, because you only choose those 2 to be placed together, all the other three you put in different baskets, no choices
Total of 1 + 5 + 10 + 10 + 15 + 10 = 51.
Answer B.
Answer: B
Question: A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 75 revolutions. How many revolutions does the second wheel make in covering d feet?
Options:
A)75x/y
B)75x-y
C)25x-y
D)25x+y
E)75y/x
Rationale: A wheel covers 2πr distance in one revolution. where r= diameter/2
First wheel covers d feet in 75 rev. => d= 75* 2π * (x/2)
Second wheel covers d feet in let's say P revolutions; => d = P* 2π * (y/2)
comparing both equations:-
=> p= (75∗2π∗x/2)/(2π∗y/2)
=> 75x/y
Answer :- A
Answer: A
Question: Radha remembers that her father's birthday is after 16th but before 21st of March, While her brother Mangesh remembers that his father,s birthday is before 22nd but after 19th of March. On which date is the birthday of their father?
Options:
A)19th
B)20th
C)21st
D)Cannot be determined
E)None of these
Rationale: before 21st and after 19th they mentioned clearly
so 20th march
ANSWER:B
Answer: B
Question: In a TV factory, an average of 60 TVs are produced per day for the fist 25days of the months. A few workers fell ill for the next five days reducing thedaily avg for the month to 58 sets/day . The average production per day for day last 5days is ?
Options:
A)42
B)46
C)48
D)50
E)54
Rationale: Production during these 5 days = Total production in a month - production in first 25 days.
= 30 x 58 - 25 x 60
= 240
∴ Average for last 5 days = 240 / 5
= 48
C
Answer: C
Question: The sum of three consecutive even numbers is 42. Find the middle number of the three?
Options:
A)14
B)16
C)18
D)24
E)25
Rationale: Explanation:
Three consecutive even numbers (2P - 2), 2P, (2P + 2).
(2P - 2) + 2P + (2P + 2) = 42
6P = 42 => P = 7.
The middle number is: 2P = 14.
ANSWER IS A
Answer: A
Question: In a certain game, you pick a card from a standard deck of 52 cards. If the card is a heart, you win. If the card is not a heart, the person replaces the card to the deck, reshuffles, and draws again. The person keeps repeating that process until he picks a heart, and the point is to measure how many draws did it take before the person picked a heart and won. What is the probability that there will be at least four draws involved in a win, i.e. someone picking her first heart on the fourth draw or later?
Options:
A) 1/2
B) 9/16
C) 11/16
D) 13/16
E) 27/64
Rationale: Probability of picking a heart on any draw = 1/4
Probability of NOT picking a heart on the first draw AND on the second draw And 3rd draw = [1-(1/4)] X [1-(1/4)] X [1-(1/4)]= 3/4 X 3/4 X 3/4 = 27/64
Answer : E
Answer: E
Question: Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Options:
A)Rs.200
B)Rs.250
C)Rs.350
D)Rs.370
E)Rs.400
Rationale: Let the amount paid to A per week = x
and the amount paid to B per week = y
Then x + y = 550
But x = 120% of y = 120y/100 = 12y/10
∴12y/10 + y = 550
⇒ y[12/10 + 1] = 550
⇒ 22y/10 = 550
⇒ 22y = 5500
⇒ y = 5500/22 = 500/2 = Rs.250
B)
Answer: B
Question: A certain bushel of wheat generates one-third the profit of a bushel of corn. If a bushel of corn generates five-fourths the profit of a bushel of truffles, what fraction of the profit from a bushel of wheat is the profit from a bushel of truffles?
Options:
A)5/12
B)4/5
C)5/4
D)5/3
E)12/5
Rationale: Let Corn profit = 3x
Wheat profit = x
Truffle Profit = 4/5 * 3x = 12/5 * x
Wheat Profit / Truffle Profit = x / [12/5 * x] = 5/12
Answer A.
Answer: A
Question: The number 642 is added to a 3-digit number 7x2 to give a 4 digit 13y4 which is exactly divisible by 11.find xy
Options:
A)12
B)13
C)14
D)15
E)16
Rationale: if a number is divisible by 11,means diff b/w it's digits at odd and even place should be 0 or multiples of 11.
so 13y4 1+y=3+4 y=6 therefore no is 1364
now subtract 642 from 1364=722
therefore x=2
xy=12
ANSWER:A
Answer: A
Question: If YWVSQ is 27 - 23 - 21 - 19 - 17, Then WKIGF
Options:
A)13 - 11 - 9 - 7 - 9
B)13 - 11 - 9 - 7 - 6
C)13 - 11 - 9 - 7 - 7
D)13 - 11 - 9 - 7 - 5
E)13 - 11 - 9 - 7 - 1
Rationale: WKIGF = 13 - 11 - 9 - 7 - 5
Note: this is a dummy question. Dont answer these questions
Answer:D
Answer: D
Question: An bus covers a certain distance at a speed of 140 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Options:
A)520 km/hr
B)640 km/hr
C)656 km/hr
D)731 km/hr
E)700 km/hr
Rationale: Distance = (140 x 5) = 700 km.
Required speed = 700 km/hr.
E
Answer: E
Question: A not-so-good clockmaker has four clocks on display in the window. Clock #1 loses 17 minutes every hour. Clock #2 gains 15 minutes every hour relative to Clock #1 (i.e., as Clock #1 moves from 12:00 to 1:00, Clock #2 moves from 12:00 to 1:15). Clock #3 loses 20 minutes every hour relative to Clock #2. Finally, Clock #4 gains 20 minutes every hour relative to Clock #3. If the clockmaker resets all four clocks to the correct time at 12 noon, what time will Clock #4 display after 6 actual hours (when it is actually 6:00 pm that same day)?
Options:
A)5:00
B)5:34
C)5:42
D)6:00
E)6:24
Rationale: C1 loses 15 minutes every hour. So after 60 minutes have passed, C1 displays that 60-15 = 45 minutes have passed.
C2 gains 15 minutes for every 60 minutes displayed on C1. Thus, the time displayed on C2 is 75/60 = 5/4 the time displayed on C1. So after 60 minutes have passed, C2 displays the passing of (5/4 * 45) minutes.
C3 loses 20 minutes for every 60 minutes displayed on C2. Thus, the time displayed on C3 is 40/60 = 2/3 the time displayed on C2. So after 60 minutes have passed, C3 displays the passing of (2/3 * 5/4 * 45) minutes.
C4 gains 20 minutes for every 60 minutes displayed on C3. Thus, the time displayed on C4 is 80/60 = 4/3 the time displayed on clock 3. So after 60 minutes have passed, C4 displays the passing of 4/3 * 2/3 * 5/4 * 45 = 50 minutes.
C4 loses 10 minutes every hour.
In 6 hours, C4 will lose 6*10 = 60 minutes = 1 hour.
Since the correct time after 6 hours will be 6pm, C4 will show a time of 6-1 = 5:34pm.
The correct answer is B.
Answer: B
Question: A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
Options:
A)8000
B)8925
C)8500
D)8700
E)8750
Rationale: P = (100*4016.25/9*5) ==>8925
ANSWER B
Answer: B
Question: The price of commodity X increases by 40 cents every year, while the price of commodity Y increases by 15 cents every year. In 2001, the price of commodity X was $4.20 and the price of commodity Y was $6.30. In which year will the price of commodity X be 15 cents more than the price of commodity Y?
Options:
A)2010
B)2011
C)2012
D)2013
E)2014
Rationale: The price of commodity X increases 25 cents each year relative to commodity Y.
The price difference is $2.10 and commodity X needs to be 15 cents more than commodity Y.
$2.25 / 25 cents = 9 years
The answer is 2001 + 9 years = 2010.
The answer is A.
Answer: A
Question: Kate made a deposit in a savings account that pays 5% compound interest annually two years ago. If her current account balance is $1,323, how much did she deposit in the account?
Options:
A)$1000
B)$1100
C)$1200
D)$1300
E)$1400
Rationale: We are given the final amount at the end of two years (i.e initial amount invested + interest) = $1323
Interest rate = 5%
No of Cycles = 2
A = P (1 +r)^n
1323 = P (1 + .05)^2
1323 = P (1 + 1/20)^2
1323 = P*(21/20)^2
Solving for P = 1200
Option C
Answer: C
Question: The average of temperatures at noontime from Monday to Friday is 60; the lowest one is 40, what is the possible maximum range of the temperatures?
Options:
A)100
B)25
C)40
D)45
E)75
Rationale: Average=60, Sum of temperatures=60*5=300
As the min temperature is 40, max would be 300-4*40=140 --> The range=140(max)-40(min)=100
Answer: A
Answer: A
Question: Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
Options:
A)299
B)132
C)269
D)267
E)262
Rationale: 2 * 22/7 * 14 = 88
88 * 1 1/2
= Rs.132
Answer:B
Answer: B
Question: If the perimeter of square region Q and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3 then the ratio of the area of R to the area of Q
Options:
A)25:16
B)24:25
C)5:6
D)4:5
E)4:9
Rationale: We know Perimeter of a square (Pq) = 4*side
Perimeter of a rectangle (Pr) = 2(length+breath)
Let us assume 40 to be the perimeter of the square (since we know each side of a square is equal and the perimeter is divisible by 4, also take in to account the length and breadth of the rectangle is in the ration 2k:3k = 5k; we can assume such a number)
Therefore,
Pq = Pr = 40
Area of the square = 100 sq. units
We know 2(length+breadth) = 40
i.e. length + breadth = 20 (or 5k = 20 given that l:b (or b:l) = 2:3)
Therefore length = 8, breath = 12
Area of the rectangle = 8*12 = 96 sq. units
Question asked = Area of the rectangle : Area of the square = 96:100 ==> 24:25=B
Answer: B
Question: A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
Options:
A)2288
B)2776
C)5550
D)3389
E)2882
Rationale: Total production of salt by the company in that year = 5000 + 5100 + 5200 + .... + 6100 = 66600.
Average monthly production of salt for that year = 66600/12 = 5550.
Answer: C
Answer: C
Question: Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
Options:
A)288
B)132
C)882
D)292
E)261
Rationale: 2 * 22/7 * 14 = 88
88 * 1 1/2 = Rs.132
Answer: B
Answer: B
Question: The speed of a train is 120 kmph. What is the distance covered by it in 40 minutes?
Options:
A)50 kmph
B)60 kmph
C)70 kmph
D)80 kmph
E)85 kmph
Rationale: 120 * 40/60
=80 kmph
Answer: D
Answer: D
Question: A courtyard 25 m long and 16 m broad is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is
Options:
A)15000
B)18000
C)20000
D)25000
E)None
Rationale: Solution
Number of bricks
= [ Area of courtyard / Area of 1 brick ]
= [2500×1600 / 20×10]
= 20000.
Answer C
Answer: C
Question: What is the total number of Y integers between 100 and 200 that are divisible by 3?
Options:
A) 33
B) 32
C) 31
D) 30
E) 29
Rationale: yes there is a different way of arriving at that answer ....
u can also use airthmetic progression to get the answer
since the first term to be divisble by 3 is 102 ..take that as A .. the starting no
and since 198 is the last digit to be divisible by 3 take that as N ...
since the difference is 3 take that as D
no u have to find what term is 198 take that as nth term
the formula for that is N = A + (n-1) * d
198 = 102 +(n-1) * 3
from this u get n =33
Answer: A
Question: The sum of three consecutive integers is 102. Find the lowest of the three?
Options:
A)22
B)99
C)21
D)33
E)27
Rationale: Three consecutive numbers can be taken as (P - 1), P, (P + 1).
So, (P - 1) + P + (P + 1) = 102
3P = 102 => P = 34.
The lowest of the three = (P - 1) = 34 - 1 = 33.Answer:D
Answer: D
Question: In a rectangular metallic piece of paper that covers exactly the area of a cube. The length of the piece of paper is 48 inches and the width is 72 inches. What is the volume of the cube in cubic feet is 1 feet is 12 inches?
Options:
A)a 8
B)b 24
C)c 27
D)d 40
E)e 51
Rationale: l = 48 /12 = 4 ft
w = 72 / 12 = 6 ft
Area of paper = 24
Area of cube = 4 * side^2
side of cube = 2
V of cube = 8
Answer: A
Question: If X is to be chosen at random from the integers between 1 to 7, inclusive, and Y is to be chosen at random from the integers between 7 and 11, inclusive, what is the probability that X + Y will be even?
Options:
A)3/5
B)4/7
C)5/7
D)18/35
E)23/35
Rationale: X+Y will be even if X and Y are both even or both odd.
P(X and Y are both even) = 3/7*2/5 = 6/35
P(X and Y are both odd) = 4/7*3/5 = 12/35
P(X+Y is even) = 6/35 + 12/35 = 18/35
The answer is D.
Answer: D
Question: Set #1 = {O, P, Q,R, E}
Set #2 = {A, U, M, N, T, P}
There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?
Options:
A)1/2
B)1/5
C)1/6
D)3/5
E)1/8
Rationale: At least questions are best solved by taking the opposite scenario and subtracting it from 1. Probability of choosing no vowel from set 1 is 3/5 and set 2 is 4/6. Multiply these to get 2/5. Therefore, probability of picking at least one vowel = 1-2/5= 3/5
ANSWER =D
Answer: D
Question: If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per person. If there were 1 other contributions made before john's, what is the size of his donation?
Options:
A)$100
B)$150
C)$200
D)$250
E)$450
Rationale: Cavg = average contribution before John
Cavg*1.5 = 75, therefore the average cont is $50 before John.
If he needs to increase the average contribution by $25, he must put in $25 for each of the 1 people.
so $25.
But, he also has to put in the average for himself (the twoth person), so add $75.
So $100 is your answer.
Answer A
Answer: A
Question: Anne and Katherine are both saving money
from their summer jobs to buy bicycles. If
Anne had $150 less, she would have exactly 1/3
as much as Katherine. And if Katherine
had twice as much, she would have exactly
3 times as much as Anne. How much
money have they saved together?
(
Options:
A)$300
B)$400
C)$450
D)$625
E)$750
Rationale: If Anne had $150 less, Katherine would have three times more than Anne. Make this
statement into an equation and simplify:
3(a – 150) = k
3a – 450 = k
And if Katherine had twice as much, she would have three times more than Anne:
2k = 3a
Substitute 3a – 450 for k into the last equation and solve for a
2(3a – 450) = 3a
6a – 900 = 3a
–900 = –3a
300 = a
Now substitute 300 for a into the same equation and solve for k:
2k = 3(300)
2k = 900
k = 450
Thus, together Anne and Katherine have 300 + 450 = 750
correct answer E)$750
Answer: E
Question: A car covers a distance of 360 km in 10 hrs. What is its speed in mps.
Options:
A)10 m/s
B)25 m/s
C)20 m/s
D)15 m/s
E)16 m/s
Rationale: Explanation:
Distance = Speed x Time
Speed = (360/10) = 36 kmph
Spees in mps = 36 x 5/18 = 2 x 5 = 10 mps.
Answer: Option A
Answer: A
Question: Exactly 15% of the reporters for a certain wire service cover local politics in Country X. If 25% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?
Options:
A)20%
B)42%
C)44%
D)80%
E)84%
Rationale: Let's assume there are 100 reporters --> 15 reporters cover local politics.
Now, as 25% of the reporters who cover all politics do not cover local politics then the rest 75% of the reporters who cover politics do cover local politics, so if there are x reporters who cover politics then 75% of them equal to 15 (# of reporters who cover local politics): 0.75x=15--> x=20, hence 20 reporters cover politics and the rest 100-20=80 reporters do not cover politics at all.
Answer: D.
Answer: D
Question: Two men start together to walk a certain distance, one at 4 kmph and another at 3 kmph.The former arrives half an hour before the latter. Find the distance.
Options:
A)6 kilometre
B)7 km
C)8 km
D)9 km
E)None of these
Rationale: Let the distance be x km. Then,
x/3 - x/4 = 1/2
(4x - 3x)/12 = 1/2
x = 6 km
ANSWER:A
Answer: A
Question: The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Options:
A)240
B)270
C)295
D)360
E)252
Rationale: Let the smaller number be x. Then larger number = (x + 1365).
x + 1365 = 6x + 15
5x = 1350
x = 270
Smaller number = 270.
ANSWER B
Answer: B
Question: At present, the ratio between the ages of Akbar and Denial is 4:3. After 6 years, Arun’s age will be 26 years. What is the age of Deepak at present?
Options:
A)5
B)10
C)15
D)20
E)25
Rationale: Sol.
Let the present ages of Akbar and Danial be 4x years and 3x years respectively. Then,
4x + 6 =26 ⇔ 4x = 20 ⇔ x = 5.
∴ Deepak’s age = 3x =15 years.
Answer C
Answer: C