divelab/Sys2Bench huggingface dataset:
Question: We have 6 people and 4 chairs. In how many ways chairs can be occupy?
Options:
A)840
B)720
C)650
D)914
E)120
Rationale: no. of ways they can be occupy = 6*5*4 = 120
Answer is E
Answer: E
Question: Find the third proportional to 3 and 9?
Options:
A)10
B)12
C)27
D)19
E)20
Rationale: Formula = Third proportional = (b × b)/a
A = 3 and B = 9
(9 x 9)/ 3 = 81/3 = 27
C
Answer: C
Question: A die is rolled twice. What is the probability of getting a sum equal to 9?
Options:
A)2/3
B)2/9
C)1/3
D)1/9
E)1/6
Rationale: Total number of outcomes possible when a die is rolled = 6 (âˆµ any one face out of the 6 faces)
Hence, total number of outcomes possible when a die is rolled twice, n(S) = 6 Ã— 6 = 36
E = Getting a sum of 9 when the two dice fall = {(3, 6), {4, 5}, {5, 4}, (6, 3)}
Hence, n(E) = 4
P(E) = n(E)/n(S)=4/36=1/9
Answer:D
Answer: D
Question: In the third quarter of 2015, Atlantis Law Firm had 20 lawyers and 400 cases. In the fourth quarter of 2015, the firm had 22 lawyers and 500 cases. By approximately what percent did the ratio of lawyers to cases decrease from the third quarter to the fourth quarter.
Options:
A)10.0%
B)11.0%
C)12.0%
D)13.0%
E)14.0%
Rationale: 3rd quarter: lawyers/cases = 20/400 =100/2000
4th quarter: lawyers/cases = 22/500 =88/2000
ASIDE: It's useful to write both ratios with the same denominator. This allows us to IGNORE the denominator and focus solely on the numerators.
So, our ratio went from 100/2000 to 88/2000
Ignoring the denominators, we went from 100 to 88
The percent change = 100(difference in values)/(original value)
= (100)(100-88)/100
= (100)(12)/100)
=12.0
Answer: C
Answer: C
Question: q, b, and c are positive integers. If q, b, and c are assembled into the six-digit number qbcqbc, which one of the following must be a factor of qbcqbc?
Options:
A) 16
B) 13
C) 5
D) 3
E) none of the above
Rationale: Plug in some values and check -
qbcqbc = 123123
Not divisible by 16 and 5
let qbcqbc = 125125
Not divisible by 3
Only option (B) and (E) is left in both the cases...
Check once more to marke (B) as correct answer
let qbcqbc = 135135
Again divisible by 13
So, mark answer as (B) 13
Answer: B
Question: In the xy-plane, the point (1, 3) is the center of a circle. The point (-2, 3) lies inside the circle and the point (1, -2) lies outside the circle. If the radius r of the circle is an integer, then r =
Options:
A)6
B)5
C)4
D)3
E)2
Rationale: An easy way to solve this question will be just to mark the points on the coordinate plane.
You'll see that the distance between the center (1, 3) and the point inside the circle (-2, 3) is 3 units
(both points are on y=3 line so the distance will simply be 1-(-2)=3)
So the radius must be more than 3 units.
The distance between the center (1,3) and the point outside the circle (1,-2) is 5 units
(both points are on x=1 line so the distance will simply be 3-(-2)=5)
So the radius must be less than 5 units, which implies 3 < r < 5, thus as r is an integer then r=4.
Answer: C.
Answer: C
Question: A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 60 days, then together ,all will finish the work in :
Options:
A)13 1/3 days
B)12 1/3 days
C)15 days
D)20 days
E)30 days
Rationale: C alone can finish the work in 60 days.
(A + B)can do it in 20 days
(A + B)s 1 days wok = 1/20.
As 1 days work : Bs 1 days Work = 1/2 : 1 = 1:2.
Aâ€™s 1 dayâ€™s work = (1/20) * (1/3) = (1/60). [Divide 1/20 in the raio 1:2] Bs 1 days work = (1/20) * (2/3) = 1/30
(A+B+c)S 1 dayâ€™s work = (1/60) + (1/30) + (1/60) = 1/15
All the three together will finish it in 15 days.
ANSWER:C
Answer: C
Question: Ginger over the course of an average work-week wanted to see how much she spent on lunch daily. On Monday and Thursday, she spent $5.43 total. On Tuesday and Wednesday, she spent $4.54 on each day. On Friday, she spent $7.89 on lunch. What was her average daily cost?
Options:
A)a. $3.19
B)b. $3.75
C)c. $3.90
D)d. $4.08
E)e. $4.48
Rationale: On Monday and Thursday, she spent $5.43total.
On Tuesday and Wednesday, she spent $4.54on each day.
On Friday, she spent $7.89 on lunch.
The average = (5.43 + 2*4.54 + 7.89)/5 = 4.48.
Answer: E.
Answer: E
Question: If A = {1, 3, 5}, B = {3, 5, 6}.Find A ∪ B
Options:
A){1,5}
B){1,3,5,6}
C){2,6}
D){8,9}
E){4,12}
Rationale: A= {1,3,5}
B= {3,5,6} Therefore ,
correct answer :A ∪ B = {1, 3, 5, 6}
B
Answer: B
Question: What is the relationship between the fractions 14/15 and 37/40.
Options:
A)14/15 = 37/40
B)14/15 < 37/40
C)14/15 > 37/40
D)cannot bedetermined
E)None
Rationale: Take LCM of both 15, 40 we get 120
(14*8)/(15*8) = 112/120
(37*3)/(40*3) = 111/120
So 14/15>37/40
ANSWER:C
Answer: C
Question: A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Options:
A)14, 5
B)14, 9
C)14, 6
D)14, 4
E)14, 2
Rationale: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.
Given x + y = 18 --- (1)
and x - y = 10 --- (2)
From (1) & (2) 2x = 28 => x = 14, y = 4.
Answer: D
Answer: D
Question: The current in a river is 10 mph. A boat can travel 50 mph in still water. How far up the river can the boat travel if the round trip is to take 5 hours?
Options:
A)120
B)100
C)96
D)85
E)150
Rationale: Upstream Speed = 50-10=40 mph
Downstream Speed = 50+10 = 60 mph
D/40 + D/60 = 5 hours
Solving for D we get D=120
Answer: A
Answer: A
Question: At 1:00, Annie starts to bicycle along a 45 mile road at a constant speed of 14 miles per hour. Thirty minutes earlier, Scott started bicycling towards Annie on the same road at a constant speed of 12 miles per hour. At what time will they meet?
Options:
A)2:00
B)2:30
C)3:00
D)3:30
E)4:00
Rationale: In the first 30 minutes, Scott can travel 6 miles, so there are 39 miles left.
Together Annie and Scott can complete 26 miles.
39/26 = 1.5, so they will meet 1.5 hours after 1:00.
The answer is B.
Answer: B
Question: Ten cards numbered 1 to 10 are placed in a box and then one card is drawn randomly. If it is known that the number on the drawn card is more than 5, what is the probability that it is an even number?
Options:
A)1/2
B)2/5
C)3/5
D)2/7
E)3/10
Rationale: There are 5 numbers higher than 5 and 3 of them are even.
The probability is 3/5.
The answer is C.
Answer: C
Question: In how many different ways can the letters of the word 'AIRPORT' be arranged in such a way that the vowels always come together?
Options:
A)A)360
B)B)720
C)C)480
D)D)5040
E)of these
Rationale: The word 'AIRPORT' has 7 different letters.
When the vowels AIO are always together, they can be supposed to form one letter.
Then, we have to arrange the letters RPRT (AIO).
Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.
The vowels (AIO) can be arranged among themselves in 3! = 6 ways.
Required number of ways = (120 x 6) = 720.
ANSWER:B
Answer: B
Question: What is the least value of x, So that 2x5452 is divisible by 9
Options:
A)7
B)8
C)9
D)3
E)0
Rationale: Explanation:
The sum of the digits of the number is divisible by 9.
Then the number is divisible by 9.
2 + x + 5 + 4 + 5 + 2 = 18 + x
Least value of x may be '0',
So that the total 18 + 0 = 18
is divisible by 9.
Answer: Option E
Answer: E
Question: A shopkeeper has 280 kg of apples. He sells 85% of these at 20% profit and remaining 60% at 30% profit. Find his % profit on total.
Options:
A)24%
B)25%
C)26%
D)28%
E)35%
Rationale: If the total quantity was 100
Then 85 X 20% + 60 X30%= 85
This profit will remain same for any total quantity unless the % of products remains the same. Hence 'E' is the answer
Answer: E
Question: If 5 women or 8 girls can do a work in 84 days.In how many days can 10 women and 5 girls can do the same work?
Options:
A)32
B)33
C)34
D)35
E)cannot be determined
Rationale: Given that 5 women is equal to 8 girls to complete work/
So,10 women=16 girls.
10 women+5 girls=16 girls+5 girls=21 girls.
8 girls can do a work in 84 days then 21 girls can do a work in (8*84)/21=32 days
Therefore 10 women and 5 girls can a work in 32 days.
Answer is option A
Answer: A
Question: What number is obtained by adding the units digits of 734^100 and 347^83?
Options:
A)7
B)8
C)9
D)10
E)11
Rationale: The units digit of 734^100 is 6 because 4 raised to the power of an even integer ends in 6.
The units digit of 347^83 is 3 because powers of 7 end in 7, 9, 3, or 1 cyclically. Since 83 is in the form 4n+3, the units digit is 3.
Then 6+3 = 9.
The answer is C.
Answer: C
Question: A shopkeeper give 12% additional discount on the discounted price, after giving an initial discount of 20% on the labelled price of a radio. If the final sale price of the radio is Rs.704, then what is its labelled price?
Options:
A)Rs.844.80
B)Rs.929.28
C)Rs.1000
D)Rs.1044.80
E)None
Rationale: Solution
Let the labelled price be Rs.x.
88% of 80% of x	= 704
x=(704x100x100 /88x80)
= 1000.
Answer C
Answer: C
Question: Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
Options:
A)1261
B)1572
C)1689
D)1687
E)2679
Rationale: A = 8000(21/20)3
= 9261
= 8000
---------
1261
Answer: A
Answer: A
Question: W and X started a business investing Rs. 30,000 and Rs. 6,000 respectively. Out of a total profit of Rs. 18,000, W’s share is :
Options:
A)14000
B)15000
C)16000
D)17000
E)18000
Rationale: Ratio of their shares = 30000 : 6000 = 5 : 1.
W’s share = Rs. 18000 * 5/6
= Rs. 15000
ANSWER:B
Answer: B
Question: What is the smallest number which when increased by 3 is divisible by 9, 35, 25 and 21?
Options:
A)1572
B)1782
C)1992
D)2122
E)2342
Rationale: When increased by 3, the number must include at least 3^2*5^2*7 = 1575
The answer is A.
Answer: A
Question: 4 dice are thrown simultaneously on the board. Find the probability which show the same face?
Options:
A)2/113
B)3/117
C)1/216
D)3/111
E)4/121
Rationale: The total number of elementary events associated to the random experiments of throwing four dice simultaneously is:
=6×6×6×6=64=6×6×6×6=64
n(S)=64n(S)=64
Let XX be the event that all dice show the same face.
X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}
n(X)=6n(X)=6
Hence required probability,
=n(X)n(S)=664=n(X)n(S)=664
=1/216
C
Answer: C
Question: I sold a book at a profit of 12%. Had I sold it for $18 more, 18% would have been gained. Find the cost price?
Options:
A)$100
B)$250
C)$300
D)$200
E)$180
Rationale: 118% of cost - 112% of cost = $18
6% of cost = $18
cost = 18*100/6 = $300
Answer is C
Answer: C
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Options:
A)17.9 sec
B)11.8 sec
C)27.7 sec
D)10.8 sec
E)17.8 sec
Rationale: Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 140 + 160 = 300 m.
Required time = 300 * 9/250 = 54/5 = 10.8 sec.
Answer: D
Answer: D
Question: In a group of 100 cars, 37 cars do not have air conditioning. If at least 51 cars have racing stripes, what is the greatest number of cars that could have air conditioning but not racing stripes?
Options:
A)45
B)47
C)48
D)49
E)53
Rationale: Lets assume AC=63(includesonly AC carsandcars with AC and racing stripes)
lets assume RS(racing stripes)>=51(includescars with AC and racing stripesandonly racing stripes).
Now since we want to maximize(only AC) we have to see to it thatcars with AC and racing stripesis minimal(assume 0) But since RS>=51.. we have to assign atleast 14 tocars with AC and racing stripes.
Hence AC=63-14=49.
The answer is D
Answer: D
Question: If x < 0 and 0 < y < 1, which of the following has the greatest value H?
Options:
A)x^2
B)(xy)^2
C)(x/y)^2
D)x^2/y
E)x^2*y
Rationale: Given, x < 0 and 0 < y < 1
Let, x = -2 and y = 1/2
A. x^2 = (-2)^2 =4
B. (xy)^2 = (-2*1/2)^2 =1
C. (x/y)^2 = {-2/(1/2)}^2 = (-4)^2 =16
D. x^2/y = (-2)^2 / (1/2) = 4*2 =8
E. x^2*y = (-2)^2*(1/2) =2
Answer: option C
Answer: C
Question: If P's height is 40% less than that of Q, how much percent Q's height is more than that of P?
Options:
A)66.66
B)86.88
C)70.05
D)76.66
E)89.99
Rationale: Q'S height over P's = ((40/(100-40)) * 100
= 66.66%
ANSWER A
Answer: A
Question: The average salary of the employees in a office is Rs.120/month.The avg salary of officers is Rs.420 and of non officers is Rs 110. If the no.of officers is 15,then find the No of nonofficers in the office.
Options:
A)400
B)420
C)430
D)450
E)510
Rationale: Let no. of non- officers be x
15 * 420 + x * 110 = (x + 15) 120
x = 450
D
Answer: D
Question: The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
Options:
A)78
B)77
C)25
D)77
E)62
Rationale: Let the number of students who wrote the exam be x.
Total marks of students = 80 x.
Total marks of (x - 5) students = 90(x - 5)
80x - (5 * 40) = 90(x - 5)
250 = 10x => x = 25
Answer:C
Answer: C
Question: The age of father 8 years ago was thrice the age of his son. Five years hence, father's age will be twice that of his son. The ratio of their present ages is:
Options:
A)47 : 11
B)37 : 21
C)27 : 21
D)47 : 21
E)47 : 31
Rationale: Let the ages of father and son 8 years ago be 3x and x years respectively.
Then, (3x + 8) + 5 = 2[(x + 8) + 5]
3x + 13 = 2x + 26
x = 13.
Required ratio = (3x + 8) : (x + 8) = 47 : 21.
Answer: Option D
Answer: D
Question: How many even integers n, such that 20<=n<=200 are of the form 3k+4, where k is any natural number?
Options:
A)26
B)30
C)34
D)38
E)42
Rationale: The first number is 22 = 16+6(1).
We can continue adding 6 to make a list: 22, 28, 34,...
The last number is 196 = 16+6(30)
There are 30 numbers in the list.
The answer is B.
Answer: B
Question: 50% of a number is more than 20% of 650 by 190. Find the number?
Options:
A)640
B)278
C)800
D)267
E)121
Rationale: (50/100) * X â€“ (20/100) * 650 = 190
1/2 X = 320
X = 640
Answer:A
Answer: A
Question: A and B can finish 5 piece of work in 10 days each. C can do 40% faster than A and B.Approximately how many days would it take to finish 51 piece of work with all three working simultaneously?
Options:
A)38
B)42
C)46
D)50
E)51
Rationale: since c is 40% faster , thus it will create 7 pieces of work in 10 days
in 10 days total number of work by all three will be :
5+5+7=17
in 20 days:
17+17=34
in 25 days:
34+17=51
thus in all 51 days.
Ans:E
Answer: E
Question: In a certain candy store, 22% of the customers are caught sampling the candy and are charged a small fine, but 5% of the customers who sample the candy are not caught. What is the total percent of all customers who sample candy?
Options:
A)22%
B)23%
C)24%
D)25%
E)34%
Rationale: Since 5% of the customers who sample the candyare notcaught, then 88% of the customers who sample the candyarecaught:
{% of customers who sample candy}*0.95 = 0.22;
{% of customers who sample candy} = 0.231.
Answer: B.
Answer: B
Question: 1.	How much more would Rs.24000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Options:
A)A)Rs.6,338.40
B)B)Rs.6,339.40
C)C)Rs.6,340.40
D)D)Rs.6,341.40
E)E)Rs.6,342.40
Rationale: 24000(11/10)4 - 24000(6/5)2 = 6,338.40
ANSWER:A
Answer: A
Question: A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Options:
A)2/5
B)3/9
C)4/7
D)2/7
E)1/3
Rationale: Total number of balls = 6+8 = 14
Number of white balls = 8
probability of drawing a white ball = 8/14 = 4/7
Answer is B
Answer: B
Question: Benny goes to the market for buying some apples to be distributed between her nine kids equally.She takes 360 dollars with her .The cost of each apple is 4 dollars .How many apples does she buy to share them equally between her eighteen kids?
Options:
A)8
B)9
C)5
D)7
E)10
Rationale: cost of each apple = 4 dollars
Apples that Benny can buy with the amount she has=360/4 = 90.
Apples that each kid gets evenly = 90/18 = 5 Apples.
So the answer is C=5
Answer: C
Question: Four person are chosen at random form a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children, is:
Options:
A)10/21
B)20/22
C)32/45
D)13/98
E)43/21
Rationale: Number of ways of choosing 4 persons out of 9
=9c4
=126
No.of ways of choosing 2 children out of 4 and 2 persons out of (3+2)= (4c2+5c2)
=60
P(E)=60/126
=10/21
ANSWER A
Answer: A
Question: 3. How many numbers that are not divisible by 6 divide evenly into 264,600?
Options:
A)9
B)36
C)51
D)63
E)72
Rationale: 264600 = 2^3 * 3 * 5^2 * 431
Numbers that will divide 264600 will be made up of multiples of factors of 264600 that do not divide by 6.
Expanding out the factors that are made up of the prime factors I get:
2,4,8,5,25,431
The numbers of multiples of these are: 6C1+6C2+6C3+6C4+6C5+6C6 = 63.
But in addition 1 is also a factor and so is 3 so I would have thought the ans to = 65 but my best guess is:
ANS = D
Answer: D
Question: On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 390 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?
Options:
A)237
B)780
C)197
D)287
E)720
Rationale: Explanation:
Let the number of children in the school be x. Since each child gets 2 bananas, total number of bananas = 2x.
2x/(x - 390) = 2 + 2(extra)
=> 2x - 780 = x => x = 780.
Answer: B
Answer: B
Question: Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.5. If VP Adams approves the proposal, then the probability that vice-president Baker will approve the proposal is 0.8. If VP Adams doesn’t approve the proposal, then the probability that vice-president Baker will approve the proposal is 0.3. What is the probability that at least one of the two VPs, approves Johnson’s proposal?
Options:
A)0.12
B)0.7
C)0.28
D)0.48
E)0.72
Rationale: (1at approves * second rejects ) + (1st rejects * 2nd approves ) + (both approves )
=0.5*0.2+0.4*0.3+0.6*0.8
= 0.10+0.12+0.48
=0.70
B
Answer: B
Question: A certain Social Security recipient will receive an annual benefit of $12,000 provided he has annual earnings of $9,360 or less, but the benefit will be reduced by $1 for every $3 of annual earnings over $9,360. What amount of total annual earnings would result in a 65 percent reduction in the recipient's annual Social Security benefit? (Assume Social Security benefits are not counted as part of annual earnings.)
Options:
A)$15,360
B)$17,360
C)$18,000
D)$21,960
E)$27,360
Rationale: For every $3 earn above $9360, the recipient loses $1 of benefit.
OR
For every $1 loss in the benefit, the recipient earns $3 above $9360
If earning is; 9360+3x
Benefit = 12000-x
Or the vice versa
If benefit is 12000-x, the earning becomes 9360+3x
He lost 50% of the benefit;
Benefit Received= 12000-0.65*12000 = 12000-7800
x=4200
Earning becomes 9360+3x=9360+3*4200=21960
Ans:D
Answer: D
Question: x/(y/z)
In the expression above, x, y, and z are different numbers and each is one of the numbers 1, 5, or 6. What is the least possible value of the expression?
Options:
A)6/5
B)2/15
C)5/6
D)3/10
E)6/6
Rationale: x/(y/z)
= (x*z)/y
The expression will have the least value when numerator (x*z) is the smallest.
= (1*5)/6
=5/6
Answer C
Answer: C
Question: The ratio of the present ages of a man and his wife is 7 : 6. Which of the following can't be a possible ratio of their ages 40 years ago?
Options:
A)5: 7
B)6: 7
C)7:7
D)8: 7
E)9: 7
Rationale: 7x-40/6x-40 = 8/7
Therefore x=-40
Age cannot be negative.
Answer: D
Answer: D
Question: Each of the integers from 1 to 15 is written on the a seperate index card and placed in a box. If the cards are drawn from the box at random without replecement, how many cards must be drawn to ENSURE that the product of all the integers drawn is even?
Options:
A)9
B)12
C)11
D)10
E)3
Rationale: Out of the 15 integers: 8 are odd and 7 are even.
If we need to make sure that the product of all the integers withdrawn is even then we need to make sure that we have at least one even number. In the worst case:
1. we will end up picking odd numbers one by one, so we will pick all 8 odd numbers first
2. 9th number will be the first even number
So we need to withdraw at least 9 numbers to make sure that we get one even number and the product of all the integers picked is even.
So, answer will be 9. (A)
Answer: A
Question: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages.
Options:
A)16, 18, 36
B)16, 28, 36
C)8, 20, 28
D)20, 35, 45
E)None of these
Rationale: Answer: Option B
Let their present ages be 4x, 7x and 9x years respectively.
Then, (4x - 8) + (7x - 8) + (9x - 8) = 56
20x = 80 => x = 4
Their present ages are 16, 28 and 36 years respectively.
Answer: B
Question: The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is?
Options:
A)52:56
B)52:53
C)52:28
D)52:19
E)52:20
Rationale: Let C.P. of the article be Rs. x.
Then, required ratio = 104% of x / 106% of x
= 104/106 = 52/53
=52:53
Answer: B
Answer: B
Question: A van takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Options:
A)50 Kmph
B)60 Kmph
C)70 Kmph
D)80 Kmph
E)90 Kmph
Rationale: Time = 6
Distence = 540
3/2 of 6 hours = 6 * 3/2 = 9 Hours
Required speed = 540/9 = 60 Kmph
B
Answer: B
Question: Which of the following is the product of two integers whose sum is 15?
Options:
A) -42
B) -28
C) 12
D) 26
E) 32
Rationale: I solved this Question like this,
Let the two integers are x,y
x+y=15 (Given)
xy=? (Needed)
instead of solving this algebraically, Test the Answer choices
D. 26
Do the factorization : (1,26)----> There sum is not 15--eliminate
(2.13)---->There sum is 15 Bingo!!!!
So, my answer is D...
As the answer is in D, it took me very less time to answer the question. but i think this method is be simple and efficient.
Answer: D
Question: In the quiet town ofNothintodothere are 600 inhabitants, 200 are unemployed and 300 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists?
Options:
A)50.
B)100.
C)150.
D)250.
E)300.
Rationale: Total = 600
unemployed=200
employed=600-200=400
som=300
unemployed som = 300/2=150
employed som = 150
employed that are not som = 400-150=250
Answer :D
Answer: D
Question: The ratio of the adjacent angles of a parallelogram is 8 : 10. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
Options:
A)168°
B)228°
C)156°
D)224°
E)164°
Rationale: The measures of the adjacent angles of a parallelogram add up to be 180°
Given
So, 8x + 10x = 180°
Or, 18x = 180°
Or, x = 10°
Hence the angles of the parallelogram are 80° and 100°
Further it is given
We know sum of all the four angles of a quadrilateral is 360°
So, 5y + 6y + 7y + 12 y = 360°
Or, 5y + 6y + 7y + 12 y = 360°
Or, 30y = 360°
Or, y = 12°
Hence the angles of the quadrilateral are 60° , 72, 84° and 144°
Will be 80° + 84° = 164°
Answer : E
Answer: E
Question: 617 x 617 + 583 x 583=?
Options:
A)720578
B)80578
C)80698
D)81268
E)None of them
Rationale: =(617)^2 + (583)^2
=(600+17)^2 + (600-17)^2
=2[(600)^2+(17)^2]
=2[360000+289]
=2 x 360289 = 720578
Answer is A
Answer: A
Question: What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?
Options:
A)Rs.9689
B)Rs.9678
C)Rs.9688
D)Rs.9678
E)Rs.9680
Rationale: A= P{1 + R/100}n
=> 8000{1 + 10/100}2 = Rs.9680
Answer:E
Answer: E
Question: 5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?
Options:
A)1:2
B)2:1
C)2:3
D)6:5
E)5:6
Rationale: 7M + 6B ------- 5 days
20M + 48B = 35M + 30B
18B = 15M => 5M = 6B
M: B = 6:5
ANSWER D
Answer: D