divelab/Sys2Bench huggingface dataset:
Question: A sum of Rs. 2900 amounts to Rs. 3422 in 3 years. Had the rate of interest be 6% higher then what would the sum amount in the same time period?
Options:
A)Rs. 4465
B)Rs. 3683
C)Rs. 3596
D)Data inadequate
E)Rs. 3944
Rationale: 3422=2900+(2900*R*3/100)
R=6
If R is 6 more.
Then R=12
Sum=2900+(2900*12*3/100)
Sum=3944
ANSWER:E
Answer: E
Question: Chauncy, an English bulldog, received 1,618 votes in the Mr. Bulldog USA competition, giving him approximately 20 percent of the vote. Approximately what percent of the remaining votes would he have needed to receive in order to win 30 percent of the total votes?
Options:
A)10%
B)12.5%
C)15%
D)17.5%
E)20%
Rationale: Let X be total number of votes.
Given 1618 = 20/100(X) => X = 8090.
Now 30%(8090) = 2427.
Difference now is 2427-1618 = 809
809 is 10% of 8090. Then he needed 10% more votes to win 30% of total votes.
Answer: option A is correct answer..
Answer: A
Question: If a particular player is always chosen, in how many ways can a cricketbe chosen out of 15 players?
Options:
A)1267
B)1348
C)1321
D)1342
E)1365
Rationale: A particular player is always chosen, it means that 10 players are selected out of the remaining 14 players.
=. Required number of ways = 14C10 = 14C4
= 14!/4!x19! = 1365
E
Answer: E
Question: The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A.?
Options:
A)16
B)12
C)15
D)20
E)10
Rationale: (A+B)-(B-C)=12
A-C=12
Answer is B
Answer: B
Question: The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?
Options:
A)7 years
B)9 years
C)4 years
D)6 years
E)2 years
Rationale: Explanation:
100 ---- 300 --- 3
900 --- 3
----
6 years
Answer: Option D
Answer: D
Question: By selling a bat for Rs.630/- a man loses 10% what is that bat cost price
Options:
A)s.600/-
B)s.630/-
C)s.700/-
D)s.780/-
E)s.800/-
Rationale: 90 % ------> 630 (90 * 7 = 630)
100 % ------>700 (100 * 7 = 700)
Cost price = Rs.700/-
C)
Answer: C
Question: in a soccer bet,we play 4 teams.first team odd 1.28,second 5.23,third 3.25,fourth 2.05.we place the bet with 5.00 euros.
how much money we expect to win?
Options:
A)219.5
B)223.0
C)235.01
D)266.74
E)669.0
Rationale: in the case we won the bet,we have:
1.28* 5.23* 3.25* 2.0*5.00=219.50
we will win 223
so correct answer is B
Answer: B
Question: Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat?
Options:
A)4!
B)8!
C)9!
D)10!
E)12!
Rationale: Ans.(B)
Sol. Total number of persons = 9 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 8 places in 8P8 = 8! Ways ... The number of required arrangements = 8! x 1= 8! = 8! ways
Answer: B
Question: Anil and Suresh are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Suresh needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 110 pages?
Options:
A)8 hours 15 mins
B)8 hours
C)9 hours
D)7 hours
E)6 hours
Rationale: Pages typed by Anil in 1 hour = 32/6 = 16/3
Pages typed by Suresh in 1 hour = 40/5 = 8
Pages typed by Anil and Suresh in 1 hour = 16/3 + 8 = 40/3
Time taken to type 110 pages when Anil and Suresh work together = 110 × 3 /40 = 33/4
= 8 ¼ hours = 8 hour 15 minutes
Answer is A.
Answer: A
Question: An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 29 metre of cloth ?
Options:
A)175 seconds
B)195 seconds
C)155 seconds
D)227 seconds
E)115 seconds
Rationale: Explanation:
Let the time required by x seconds.
Then, More cloth means More time (Direct Proportion)
So,
0.128 : 1 :: 29 : x => x = {\color{Blue} \frac{29\times 1}{0.128}}
=> x = 226.56
So time will be approx 227 seconds
Answer: D
Answer: D
Question: Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.7. The probability that vice-president Baker will approve the proposal is 0.4. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three VPs are entirely independent of one another.
Suppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded?
Options:
A)0.49
B)0.6
C)0.448
D)0.5
E)0.52
Rationale: probability of adams approval = 0.7
baker approval =0.4
corfu approval=0.4
proabability of approval is must adam approval and atleast one approval
= adam approval*baker approval*corfu approval(approval of both remaining)+adam approval*baker approval*corfu not approval(atleast one remaining approval)+
adam approval*baker not approval*coffu approval( atleast one remaining approval
= 0.7*0.4*0.4+0.7*0.4*0.6+0.7*0.6*0.4
=0.112+0.168+0.168
=0.448
C
Answer: C
Question: The speed of a boat in upstream is 30 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Options:
A)25 kmph
B)13 kmph
C)65 kmph
D)55 kmph
E)14 kmph
Rationale: Speed of the boat in still water
= (30+80)/2
= 55 kmph. Speed of the stream
= (80-30)/2
= 25 kmph.
Answer: A
Answer: A
Question: 2, 3, 6, 0, 10, -3, 14, (...)
Options:
A)-6
B)8
C)-2
D)4
E)10
Rationale: There are two series
2, 6, 10, 14, ... (Adding 4)
3, 0, -3, ... (Subtracting 3)
Hence, next term is -3 - 3 = -6
Answer is A
Answer: A
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.10 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Options:
A)160
B)175
C)190
D)200
E)210
Rationale: Suppose the man works overtime for x hours.
Now, working hours in 4 weeks = (5 x 8 x 4) = 160.
160 x 2.10 + X x 3.20 = 432
X = 30.
Hence, total hours of work = (160 + 30) = 190.
answer :C
Answer: C
Question: Two friends plan to walk along an 18-km trail, starting at opposite ends of the trail at the same time. If Friend P's rate is 25% faster than Friend Q's, how many kilometers will Friend P have walked when they pass each other?
Options:
A)10
B)11
C)12
D)13
E)14
Rationale: If Q complete x kilometers, then P completes 1.25x kilometers.
x + 1.25x = 18
2.25x=18
x = 8
Then P will have have walked 1.25*8=10 km.
The answer is A.
Answer: A
Question: The average of four consecutive even numbers is 27. find the largest of these numbers?
Options:
A)25
B)30
C)41
D)23
E)65
Rationale: Sol: let the numbers be x,x+2,x+4 and x+6. then,
(x+(x+2)+(x+4)+(x+6))/4) = 27
(4x+12)/4 = 27
x+3=27; x=24.
Therefore the largest number=(x+6)=24+6=30.
Ans: B
Answer: B
Question: In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 20 percent, but profits were 20 percent of revenues. The profits in 1999 were what percent of the profits in 1998?
Options:
A)80%
B)160%
C)120%
D)124.2%
E)138%
Rationale: 0,16R = x/100*0.1R
Answer B
Answer: B
Question: 2 dice are thrown simultaneously. Find the probability of getting a multiple of 2 on 1 dice and multiple of 3 on the second dice?
Options:
A)9/13
B)11/36
C)12/32
D)13/45
E)13/41
Rationale: 11/36
B
Answer: B
Question: John makes $60 a week from his job. He earns a raise and now makes $120 a week. What is the % increase?
Options:
A)16%
B)100%
C)17%
D)17.61%
E)17.56%
Rationale: Increase = (60/60)*100 = (6/6)*100 = 100%.
B
Answer: B
Question: A professional gambler has won 40% of his 25 poker games for the week so far. If, all of a sudden, his luck changes and he begins winning 80% of the time, how many more games must he play to end up winning 60% of all his games for the week?
Options:
A)20
B)25
C)30
D)35
E)40
Rationale: Initially the person has played 25 games with probablity of winning as 40%
Thus, number of games won = 10
Later when the probability of winning changes to 80% and assuming x games were played by him:
Total number of win, 60% of all games =0.6(x+25)=10+0.8x=0.6(x+25)=10+0.8x
0.2x=50.2x=5
x=25 x=25
so, he has to play 25 games.
Alternatively, this could be solved by allegation method.
B = 25games ;ANSWER:B
Answer: B
Question: If two-third of a bucket is filled in four minutes then the time taken to fill the bucket completely will be .
Options:
A)90 seconds
B)70 seconds
C)60 seconds
D)100 seconds
E)6 minutes
Rationale: 2/3 filled in 4 mint
1/3 filled in 2 mint
then 2/3+1/3=4 + 2 = 6 minutes
ANSWER: E
Answer: E
Question: Can you tell Which of the following fractions is the largest?
Options:
A)5/6
B)11/14
C)12/15
D)17/21
E)29/35
Rationale: another way is by taking LCM of denominators(2*3*5*7)
(a) 175 (as lcm is 2*3*5*7 where 2*3 part is already in denominator just multiply 5*7 to numerator) ,similarly
(b) 165
(c)168
(d)170
(e)174
clearly (a) is largest..
Ans A
Answer: A
Question: The product of two positive integers is 323 and their difference is 2. What is the smaller number?
Options:
A)17
B)18
C)16
D)19
E)14
Rationale: Let's use trial and error to find the two numbers.
20*18 = 360 (too high)
19*17 = 323
The answer is A.
Answer: A
Question: A merchant marks his goods up by 20% and then offers a discount of 5% on the marked price. What % profit does the merchant make after the discount?
Options:
A)8%
B)6 %
C)21%
D)14%
E)17%
Rationale: Let the price be 100.
The price becomes 120 after a 20% markup.
Now a discount of 5% on 120.
Profit=114-100
14%
answer D
Answer: D
Question: The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 15000, then find the annual income of A?
Options:
A)187888
B)276889
C)267777
D)504000
E)297112
Rationale: B's monthly income = 15000 * 112/100 = Rs. 16800
B's monthly income = 2 parts ----> Rs. 16800
A's monthly income = 5 parts = 5/2 * 16800 = Rs. 42000
A's annual income = Rs. 42000 * 12 = Rs.504000
Answer:D
Answer: D
Question: Vinod climbs 60 steps in 40 seconds. At that rate, how many steps could he climb in 150 seconds?
Options:
A)223
B)221
C)222
D)224
E)225
Rationale: Solution:
Let's calculate the steps he climbs per second: 60:40 = 1.5
So he climbs 1.5 steps per second.
For 150 seconds Vinod climb: 1.5 × 150 = 225
Answer E
Answer: E
Question: Bookman purchased 60 copies of a new book released recently, 10 of which are hardback and sold for $20 each, and rest are paperback and sold for $10 each. If 14 copies were sold and the total value of the remaining books was 660, how many paperback copies were sold?
Options:
A)22
B)24
C)26
D)28
E)30
Rationale: The bookman had 10 hardback ad 60-10=50 paperback copies;
14 copies were sold, hence 60-14=46 copies were left. Let # of paperback copies left be p then 10p+20(46-p)=660 --> 10 p=260 --> p=26
# of paperback copies sold is 50-26=24
Answer: B
Answer: B
Question: If a fair 6-sided die is rolled three times, what is the probability that exactly one 6 is rolled?
Options:
A)25/216
B)50/216
C)25/72
D)25/36
E)5/6
Rationale: Total ways in which a 6-sided die can be rolled three times = 6*6*6 = 216
To get exactly one 6, there are three ways:
A 6 on the first roll and non 6 on other two rolls. This can be done in 1*5*5 = 25 ways.
The 6 could be on the second or third roll too. So total favorable cases = 25*3 = 75
Required Probability = 75/216 = 25/72
Answer (C)
Answer: C
Question: Company A imported 10,000 widgets made of either brass or aluminum. The widgets are painted blue, red or green. If 20 percent of the widgets are made of brass and of those 20 percent are painted green and 40 percent are painted red how many brass widgets painted blue were imported?
Options:
A)420
B)840
C)800
D)1680
E)2100
Rationale: Answer A.
We are told that 10% of all imported widgets are made of brass and of those, 20% are green and 40% are red. Since we know that there are only three colors, the remaining 40% must be blue. 40% blue of 20% brass widgets leads to 8% blue brass widgets out of the total 10,550 widgets.
10,000 /100 * 8 = 800.
Answer C.
Answer: C
Question: What is the probability that a leap year has 53 Sundays and 52 Mondays?
Options:
A)1/9
B)1/7
C)1/5
D)1/1
E)1/2
Rationale: A leap year has 52 weeks and two days
Total number of cases = 7
Number of favourable cases = 1
i.e., {Saturday, Sunday}
Required Probability = 1/7
Answer:B
Answer: B
Question: Some of the people in Town A are left-handed, some are tall, some are both, and some are neither. In Town Y, three times as many people are left-handed > as are left-handed in Town A, three times as many people are tall as are tall in Town A, three times as many people are both as are both in Town A, but no one is neither. If the total number of people in Town A is four times greater than the total number of people in Town Y, which of the following could be the number of people in Town A who are neither left-handed nor tall?
Options:
A) 23
B) 39
C) 72
D) 143
E) 199
Rationale: Yes, correct answer is indeed D.
{A}={Left} + {Tall} - {Both} + {Neither};
{Y} = 3*{Left} + 3*{Tall} - 3*{Both};
Since the total number of people in Town A is four times greater than the total number of people in Town Y, then:
{Left} + {Tall} - {Both} + {Neither}=4*(3*{Left} + 3*{Tall} - 3*{Both});
{Neither}=11*({Left} + {Tall} - {Both}), which means that # of people in Town A who are neither left-handed nor tall must be a multiple of 11.
Only answer choice D, is a multiple of 11: 143=11*13.
Answer: D.
Answer: D
Question: What is the difference between the local value of 6 and 6 in the number 2664?
Options:
A)540
B)377
C)288
D)277
E)112
Rationale: Explanation:
600 â€“ 60 = 540
Answer: A
Answer: A
Question: Company X sells a selection of products at various price points. Listed below are unit sales made for one particular day. How many unit sales on that day were greater than the mean sale price but less than the median sale price?
$50, $50, $97, $97, $97, $120, $155, $155, $155, $199, $199
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: Taking the prices of products in ascending order(already arranged)
$50, $50, $97, $97, $97, $120, $155, $155, $155, $199, $199
we see that median value is the 6th value as there in total 11 values given
Arithmetic mean = total/number of entries = 1374/11 =124.9090
We are asked to find how many unit sales on that day were greater than the mean sale price but less than the median sale price
as we can clearly see that there is no value between $120 and $124.90, answer is 0 unit
Correct Answer - A
Answer is A.
Answer: A
Question: Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is not an even ?
Options:
A)1/2
B)1/4
C)2/3
D)2/5
E)3/7
Rationale: Total number of cases = 6*6 = 36
Favourable cases = [(1,3),(1,5),(1,1),(3,1),(3,3),(3,5),(5,1),(5,3),(5,5)] = 9
So Probability = 9/36 = 1/4
Answer is B
Answer: B
Question: If x and y are positive odd integers, then which of the following must also be an odd integer? I. x^(y+2) II. x(y+3) III. (y+1)^(x-1) + 1
Options:
A)I only
B)I,III only
C)II only
D)III only
E)II,III only
Rationale: let x= 5, y= 3
I. 5^5 = > Odd
II. 5*6 = > even
III. 4^4 +1 = > Odd
Answer : B
Answer: B
Question: Bills' school is 10 miles from his home. He travels 4 miles from school to football practice, and then 2 miles to friend's house. If he is then x miles from home, what is the range of possible values for x?
Options:
A)2≤x≤10
B)4≤x≤10
C)4≤x≤12
D)4≤x≤16
E)6≤x≤16
Rationale: 1.If his football ground and his friend's house lie on the way to his house.
then the distance can be minimum .
10 -(4+2) = 4
2.If his football ground and his friends house lie in the opposite direction from the way to his house.
this will then give us the maximum distance.
10+(4+2) = 16
therefore , x will lie between 4 and 16
So, Correct answer will d) 4≤x≤164≤x≤16
ANSWER:D
Answer: D
Question: A man whose speed is 4 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1 kmph, find his average speed for the total journey?
Options:
A)5
B)4
C)4.5
D)3.75
E)3
Rationale: M = 4
S = 1
DS = 5
US = 3
AS = (2 * 5 * 3) /8 = 3.75
Answer: D
Answer: D
Question: If a shirts can be purchased for c rupees, how many shirts can be purchased for t rupees?
Options:
A)at/c
B)a/c
C)ac/t
D)t/(ac)
E)c/(at)
Rationale: Ans = A
Answer: A
Question: A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest?
Options:
A)11
B)787
C)17
D)12
E)77
Rationale: If the interest earned is 25% more than the earlier interest then the rate of interest also should be 25% higher than the earlier rate.
Let the earlier rate of interest be x%.
Now it will be (x + 3)%
% increase = (x + 3) - x/x * 100 = 25
=> x = 12
Answer: D
Answer: D
Question: How many 4 digit numbers can be formed with the digits 0, 1, 2, 3, 4, 5, 6, 7 and 6?
Options:
A)a. 220
B)b. 249
C)c. 432
D)d. 216
E)e. 288
Rationale: Taking Question with it's same language as given
To make number divisible by 5, the unit digit should be either 0 or 5 only
Case 1: If unit digit is fixed as zero
With two6s The choice to fill the remaining three digits = 3C2 x 5 = 15
With all remaining 3 digits different, The choice to fill the remaining three digits = 6 x 5 x 4= 120
Total Such cases = 120+15 = 135
Case 2: If unit digit is fixed as Five
With two6s and one0The choice to fill the remaining three digits = 2 [6605 or 6065]
With two6s and without0The choice to fill the remaining three digits = 3C2 x 4 = 12
With all remaining 3 digits different, and one0The choice to fill the remaining three digits = 2 (ways to place zero) x 5 x 4= 40
With all remaining 3 digits different, and without0The choice to fill the remaining three digits = 3 x 5 x 4= 60
Total Such cases = 2+12+40+60 = 114
Total numbers = 135+114 = 288
ANSWER OPTION D
Answer: D
Question: A basketball coach is making the starting lineup for his team of 10 players. There are 4 guards on the team and 6 post players. How many different groups of 5 players could he choose assuming he must pick 2 guards and 3 post players?
Options:
A)100
B)120
C)140
D)160
E)180
Rationale: (4c2)*(6c3)
[4!/(2!*2!)]*[6!/(3!*3!)]
6*20
120
B
Answer: B
Question: A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
Options:
A)222
B)287
C)277
D)400
E)281
Rationale: 2*12 : 3*12 : 4*24
1: 3: 4
1/8 * 3200 = 400
Answer: D
Answer: D
Question: A white paper 2 inches wide is placed around a rectangular black paper with dimensions 8 inches by 12 inches. What is the area of the white paper, in square inches?
Options:
A)96
B)196
C)128
D)144
E)168
Rationale: This question is an example of a 'punch out' question - we have to find the area of EVERYTHING, then 'punch out' the part that we don't want.
We're told that a white paper 2 inches wide is placed around a rectangular black paper with dimensions 8 inches by 12 inches. We're asked for the area of the frame, in square inches.
Area of a rectangle = (length)(width)
So the area of the black paper is... (8)(12) = 96
The white paper 'adds' 2 inches to the top, bottom, left and right 'sides' of the picture, so the area of EVERYTHING is...
(8+2+2)(12+2+2) = (12)(16) = 196
When we 'punch out' the area of the black paper, we'll be left with the area of the white paper:
192 - 96 = 96
Final Answer:
B
Answer: B
Question: A number exceeds by 25 from its 3/8 part. Then the number is?
Options:
A)38
B)29
C)27
D)40
E)91
Rationale: Explanation:
x â€“ 3/8 x = 25
x = 40
Answer: D
Answer: D
Question: As x Decreases from 169 to 166, which of the following must increase?
I. 2x - 5
II. 1 - 1/x
III. 1/(x^2 - x)
Options:
A) I only
B) III only
C) I and II
D) I and III
E) II and III
Rationale: I. 2x - 5 --> x decreases from 169 to 166 --> 2x decreases --> 2x - 5 decreases.
II. 1 - 1/x --> x decreases from 169 to 166 --> 1/x increases --> 1 -1/x decreases.
III. 1/(x^2 - x) --> x decreases from 169 to 166 --> x^2-x decreases --> 1/(x^2 - x) increases.
Answer: B.
Answer: B
Question: If a is the sum of p consecutive positive integers and b is the sum of q consecutive positive integers. For which of the following values of p and q is it impossible that a = b?
Options:
A)p = 2; q = 6
B)p = 3; q = 6
C)p = 10; q = 4
D)p = 7; q = 9
E)p = 10; q = 7
Rationale: I approached this in a different way, although may be longer but it's certainly more intuitive
It is impossible that a = b if one of them is necessarily even while the other is necessarily odd
for two consecutive integers the sum is necessarily odd
for six consecutive integers the sum is necessarily odd (sum of 3two consecutive integerswhich are all odd)
Thus A is incorrect.
The sum of 3 consecutive integers can be even or odd (an odd integer from the first 2 + an additional integer which can be even or odd). Thus B is incorrect. You can do a similar approach for D and E (it follows that the sum of a specified odd number of consecutive integers can be odd or even).
Leaving us with C to be the only not-wrong answer. To confirm, you can easily deduce that the sum of 4 consecutive integers (sum of 2 odd integers) is necessarily even while the sum of 10 consecutive integers (sum of 5 odd integers) is necessarily odd. Thus C is the right answer.
Answer: C
Question: The least perfect square, which is divisible by each of 21, 36 and 66 is:
Options:
A)213444
B)214344
C)214434
D)231444
E)233444
Rationale: Explanation:
L.C.M. of 21, 36, 66 = 2772.
Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11
To make it a perfect square, it must be multiplied by 7 x 11.
So, required number = 22 x 32 x 72 x 112 = 213444
ANSWER IS A
Answer: A
Question: In a square box of side 16 centimeters small square boxes of side 4 centimeters are arranged. How many small square boxes fit into the large square box?
Options:
A)12
B)25
C)16
D)30
E)20
Rationale: The 4 centimeter side should be aligned to the 16 centimeter side ( 4 layer)
4 centimeter side should be aligned to the 16 centimeter side. (4 layer)
Maximum number of squares =4*4=16
Answer is C
Answer: C
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Options:
A)17 1/9
B)17 1/0
C)17 1/7
D)17 1/2
E)17 1/3
Rationale: 1/20 + 1/30 - 1/40 = 7/120
120/7 = 17 1/7
Answer: C
Answer: C
Question: The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?
Options:
A)99
B)277
C)27
D)34
E)77
Rationale: M + Tu + W + Th = 4 * 48 = 192
Tu + W + Th + F = 4 * 46 = 184
M = 42
Tu + W + Th = 192 -42 = 150
F = 184 – 150 = 34
Answer:D
Answer: D
Question: A four-character password consists of one letter of the alphabet and three different digits between 2 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
Options:
A)5,040
B)17,472
C)26,000
D)37,440
E)52,000
Rationale: 4 character password: DLDD
First digit can be chosen in 8 ways.
The letter can be chosen in 26 ways.
Next digit can be chosen in 7 ways.
Next digit can be chosen in 6 ways.
This gives us 8*26*7*6ways
Now, the letter can also be DDLD so there will be another 8*26*7*6 ways
Total = 8*26*7*6*2 = 17,472 ways B
Answer: B
Question: if remainder is 19 , quotient is 61 and dividend is 507 then what is divisor ?
Options:
A)8
B)18
C)10
D)12
E)14
Rationale: we know
dividend = divisor * quotient + remainder===> 507 = divisor * 61 + 19 =====> 488/61 = divisor ===> divisor = 8 Ans - A
Answer: A