divelab/Sys2Bench huggingface dataset:
Question: A gang of 8 boys goes on an tour in 2 cars, of which 1 canseat 5 & the other only 4. In how many ways can they travel?
Options:
A)110
B)130
C)126
D)135
E)156
Rationale: There are 8 students and the maximum capacity of the cars together is 9.
We may divide the 8 students as follows
Case I: 5 students in the first car and 3 in the second
Or Case II: 4 students in the first car and 4 in the second
Hence, in Case I: 8 students are divided into groups of 5 and 3 in8C3 ways.
Similarly, in Case II: 8 students are divided into two groups of 4 and 4 in 8C4ways.
Therefore, the total number of ways in which 8 students can travel is:
\inline {\color{Blue}8C_{3}+8C_{4}}=56 + 70= 126
C
Answer: C
Question: A sum of money at simple interest amounts to 815 in 3 years and to 854 in 4 years. The sum is:
Options:
A)698
B)387
C)373
D)593
E)372
Rationale: A
698
S.I. for 1 year = (854 - 815) = 39.
S.I. for 3 years = (39 x 3) = 117.
Principal = (815 - 117) = 698.
Answer: A
Question: What is the are of an equilateral triangle of side 16 cm?
Options:
A)64√3
B)64√7
C)64√5
D)64√3
E)64√1
Rationale: Area of an equilateral triangle = √3/4 S2
If S = 16, Area of triangle = √3/4 * 16 * 16
= 64√3 cm2;
Answer:D
Answer: D
Question: In a certain school, the ratio of boys to girls is 5 to 13. If there are 80 more girls than boys, how many boys are there?
Options:
A)27
B)36
C)45
D)50
E)117
Rationale: The ratio of b to G is 5:13 and the other data point is G are more than boys by 80...
Looking at the ratio we can say that the 8(13-5) extra parts caused this diff of 80. so 1 part corresponds to 80/8=10 and so
5 parts correspond to 5*10 = 50.
D
Answer: D
Question: A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
Options:
A)165 ways
B)196 ways
C)156 ways
D)186 ways
E)618 ways
Rationale: Total number of persons in the committee
= 5 + 6 = 11
Number of ways of selecting group of eight persons
= ¹¹C₈ = ¹¹C₃
= (11 * 10 * 9)/(3 * 2)
= 165 ways.
Answer:A
Answer: A
Question: Find the unit's digit in the product 2467 153 * 34172?
Options:
A)1
B)2
C)3
D)6
E)7
Rationale: Unit's digit in the given product=Unit's digit in 7 153 * 172
Now 7 4 gives unit digit 1
7 152 gives unit digit 1
7 153 gives 1*7=7.Also 172 gives 1
Hence unit's digit in the product =7*1=7.
ANSWER E
Answer: E
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
Options:
A)100/7 sec
B)80/7 sec
C)57/7 sec
D)120/7 sec
E)50/7 sec
Rationale: Relative speed = (54 + 72)* 5/18 = 7 * 5 = 35 mps.
The time required = d/s = (100 + 100 + 300)/35
= 500/35 = 100/7 sec.
ANSWER:A
Answer: A
Question: There is a point P on the circle. A and B started running in two constant different speeds. A in Clockwise and B in Anti-clockwise. First time 500 m in Clockwise from P then 400 Anti-clockwise. If B is yet to complete one round, What is the circumference of the circle?
Options:
A)700
B)800
C)900
D)1000
E)1100
Rationale: Let the speeds of A & B be u and v resp. and let circumference be C.
Let their first meeting be after time t then ut+vt = C and ut = 500
∴ vt = C−500 and u/v = 500/(C−500)
For their second meeting after time T, uT+vT = 2C and vT = 400
∴ uT = 2C−400 and u/v = (2C−400 )/400
Hence 500/(C−500) = (2C−400) /400
Simplifying, 100000 = (C−200)(C−500) = C²−700C+100000 → C=700
ANSWER:A
Answer: A
Question: It is required to seat 3 boys and 2 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
Options:
A)2880
B)2148
C)3680
D)3280
E)96
Rationale: Total number of candidates = 3 + 2 = 5. In the row of 5 positions, the even places are 2nd, 4th.
Now, number of even places = 2.
Number of girls to occupy the even places = 2.
Even places can be filled = P (2, 2) ways.
Number of boys = 3.
The remaining 3 places can be filled by 3 boys = P (3, 3) ways
By the fundamental principle of counting:
The required number of seating arrangements
P(2, 2) x P(3, 3) = 2! x 4! = 4 x 24 = 96
ANSWER:E
Answer: E
Question: What is the smallest integer z for which 27^z> 3^24?
Options:
A)7
B)8
C)9
D)10
E)12
Rationale: 27^z> 3^24
Converting into the same bases:
27^z> 27^8
Therefore for the equation to hold true, z> 8 or z= 9
Option C
Answer: C
Question: Its festive time and all big companies are offering the big discount especially on iPhone whose price is staggering Rs. 65,000.
Following is the offer from the three major companies in India.
: Amazon offers Flat 65% discount
: Flipkart offers 10% discount over and over again.
: Snapdeal offers RS 42,000 off.
Which is the best offer for you ?
Options:
A)Flipkart
B)Amazon
C)Snapdeal
D)All
E)None of Above
Rationale: A
Explanation:
Flipkart : 22664, Amazon: 22750 and Snapdeal: 23000
SnapDeal discount :
65000 - 42000 = 23000
Amazon 65% discount :
35/100 * 65000 = 22750
Flipkart 10% recursive discount:
After 1st 10% discount, Amount is 58500
After 2nd 10% discount, Amount is 52650
After 3rd 10% discount, Amount is 47385
After 4th 10% discount, Amount is 42646.5
After 5th 10% discount, Amount is 38381.85
After 6th 10% discount, Amount is 34543.665
After 7th 10% discount, Amount is 31089.2985
After 8th 10% discount, Amount is 27980.36865
After 9th 10% discount, Amount is 25182.331785
After 10th 10% discount, Amount is 22664.0986065
Answer: A
Question: 300 first-time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60% of the customers in the survey had purchased clothes for less than $100. 40% of the customers in the survey reported they were overall satisfied with their purchase. 45% of the customers that had purchased clothes for less than $100 reported they were overall satisfied with their purchase. What percent of the customers surveyed purchased clothes for at least $100 and reported that they were NOT overall satisfied with their purchase?
Options:
A)15
B)25
C)13
D)45
E)75
Rationale: Out of 300 - 180 purchased for less than 100$120 for more
Out of 300 - 120 responded as satisfied and 180 responded disatisfied
Out of 180 ( Purchased less than 100$) - 45% = 81 responded as satisfied, So remaining Satisfied are 120 - 81 = 39
so 39 is what percentage of 300 - 13%
So the answer should be C
Answer: C
Question: A retailer set the tag price of an item at $200. On a certain public holiday, the retailer set a 20% discount on the tag price, thinking that he will still make a profit equal to 25% of the price he had originally paid for the item. How much did the retailer originally pay for the item?
Options:
A)$96
B)$120
C)$128
D)$144
E)$160
Rationale: Price Tagged : $200
Price after discount = $160 = Original Price + 25% Extra
Original Price = x
So, 1.25 x = 160
or x = 128. Hence, C
Answer: C
Question: Find the compound interest on $1000 in 2years at 4% per annum, the interest being compounded half-yearly?
Options:
A)$645.56
B)$82.43
C)$954.26
D)$745.69
E)$1020.45
Rationale: Principle = $10000
Rate = 2% half yearly = 4 half years
Amount = 1000*(1 + 2/100)^4 = 1000 * 51/50 * 51/50 * 51/50 * 51/50
= $1082.43
C.I. = 1082.43-1000 = $82.43
Answer is B
Answer: B
Question: The average weight of 8 girls increases by 3 kg when a new girl comes in place of one of them weighing 70 kg. What might be the weight of the new girl?
Options:
A)94 kg
B)95 kg
C)96 kg
D)97 kg
E)98 kg
Rationale: Total weight increased = 8 x 3 kg = 24 kg.
Weight of new person = 70 + 24 kg = 94 kg
Answer : A
Answer: A
Question: A package contains 8 black and 10 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Options:
A)3/5
B)5/9
C)6/8
D)7/9
E)1/3
Rationale: Let number of balls = (8+10) = 18.
Number of white balls = 10.
P (drawing a white ball) =	10/18	=	5/9
B
Answer: B
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Options:
A)31/32
B)31/37
C)31/18
D)31/10
E)31/19
Rationale: Let P(T) be the probability of getting least one tail when the coin is tossed five times.
= There is not even a single tail.
i.e. all the outcomes are heads.
= 1/32 ; P(T) = 1 - 1/32 = 31/32
Answer: A
Answer: A
Question: When positive integer B is divided by 6 the remainder is 3. Which of the following CANNOT be an even integer?
Options:
A)a. k + 1
B)b. k -11
C)c. 4k + 2
D)d. (k-3)/3 +2
E)e. B/3
Rationale: When positive integer B is divided by 6 the remainder is 3
So, B could equal 3, 9, 15, 21, etc
let's TEST B =3
a.3+ 1 = 4 (EVEN)
b.3-11 = -8 (EVEN)
c. 4(3) + 2 = 14 (EVEN)
d. (3-3)/3 +2 = 2 (EVEN)
At this point, we can already see the answer must be E.
Let's check E forfun
e.3/3 = 1 (ODD)
Great!
Answer: E
Answer: E
Question: If an average hard drive had a capacity of 0.2 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
Options:
A)256
B)5122
C)768
D)2048
E)1536
Rationale: 0.2*2^10=0.2*1024=204.8
The answer is D.
Answer: D
Question: A palindrome is a number that reads the same forward and backward, such as 121. How many odd, 4-digit numbers are palindromes?
Options:
A)40
B)45
C)50
D)90
E)2500
Rationale: First recognize you only need to consider the first two digits (because the second two are just the first two flipped)
There are 90 possibilities for the first two digits of a 4 digit number, 10-99 inclusive. Everything starting with a 1,3,5,7,9 will be odd, which is 5/9ths of the combinations.
5/9*90 = 50
ANSWER:C
Answer: C
Question: A merchant marks his goods up in such a way that the profit made on selling 30 articles is equal to the cost price of 20 articles. What is the R % profit made by the merchant?
Options:
A)66.67 %
B)50 %
C)200 %
D)100 %
E)33.33 %
Rationale: C.P of 1 article= $30(say)
C.P of 20 articles=30*20=$600
Now, C.P of 20 articles=Profit on 30 articles
Therefore, profit on 1 article=$600/30=$20
Profit R%=(20/30)*100=66.67%
Answer A
Answer: A
Question: If 3 men or 4 women can reap a field in 43 days how long will 7 men and 5 women take to reap it?
Options:
A)9
B)12
C)15
D)18
E)19
Rationale: Explanation:
3 men reap 1/43 field in 1 day
1 man reap 1/(3 x 43)
4 women reap 1/43 field in 1 day
1 woman reap 1/(43 x 4)
7 men and 5 women reap (7/(3 x 43)+ 5/(4 x 43)) =1/12 in 1 day
7 men and 5 women will reap the field in 12 days
Answer: Option B
Answer: B
Question: The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 840?
Options:
A)15
B)48
C)64
D)84
E)105
Rationale: n includes the factors 2^2 (but not 2^3) and 3 (but not 3^2 or 5)
840 = 8*3*5*7
The GCF could be 12 or 84.
The answer is D.
Answer: D
Question: A certain store sells all maps at one price and all books at another price. On Monday the store sold 12 maps and 10 books for a total of $42.00, and on Tuesday the store sold 20 maps and 15 books for a total of $70.00. At this store, how much less does a map sell for than a book?
Options:
A) $0.25
B) $0.50
C) $3.5
D) $2.5
E) $l.25
Rationale: 12x+10y=42
20x+15y=70
multiply eq 1 by 5 and eq 2 by 3
60x+50y=42*5
60x+45y=70*3
subtracting 1 from 2
5y=210-210
y=0
therefore
x=3.5
difference in price =3.5
C
Answer: C
Question: There are 12 stations between Ernakulam and Chennai. How many second class tickets have to be printed, so that a passenger can travel from one station to any other station?
Options:
A)132
B)145
C)165`
D)400
E)300
Rationale: The total number of stations= 12
From 12 Stations we have to choose any two stations and the direction of travel (Ernakulam to Chennai is different from Chennai to Ernakulam) in 12P2 ways.
12P2= 12*11= 870
ANSWER:A
Answer: A
Question: courtyard 3.78 meters long 5.95 meters wide is to be paved exactly with square tiles, all of the same size. what is the largest size of the tile which could be used for the purpose?
Options:
A)22
B)77
C)877
D)99
E)88
Rationale: 3.78 meters =378 cm = 2 × 3 × 3 × 3 × 7
5.25 meters=525 cm = 5 × 5 × 3 × 7
Hence common factors are 3 and 7
Hence LCM = 3 × 7 = 21
Hence largest size of square tiles that can be paved exactly with square tiles is 77 cm.
Answer:B
Answer: B
Question: 750 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
Options:
A)a) 162
B)b) 15
C)c) 60
D)d) 38
E)e) 12
Rationale: Passed in english = 65%
Passed in maths = 55%
Passed in both = 40% of 55% = 2/5 * (55%) = 22%
Passed in (English + Maths - Both + Neither) = 100%
65 + 55 - 22 + Neither = 100
Neither = 100 - 98 = 2% = 0.02 * 750 = 15
Answer: B
Answer: B
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Options:
A)m
B)m
C)m
D)m
E)m
Rationale: A can give B (5 min - 4 1/2 min) = 30 sec start.
The distance covered by B in 5 min = 1000 m.
Distance covered in 30 sec = (1000 * 30)/300 = 100 m.
A can give B 100m start.
ANSWER:D
Answer: D
Question: The difference between the simple interest received from two different sources on Rs. 500 for 3 years is Rs. 13.50. The difference between their rates of interest is?
Options:
A)A)2.4%
B)B)6.6%
C)C)0.3%
D)D)2.0%
E)E)1.3%
Rationale: (500 * R1 * 3)/100 - (500 * R2 * 3)/100 = 13.50 1500(R1 - R2) = 1350
R1 - R2 = 6.6%
Answer:B
Answer: B
Question: IF n >0 what is the remainder when 912^n+3 is divided by 10
Options:
A)0
B)1
C)2
D)7
E)9
Rationale: For every even power, units digit of 9 will be 1 and for every every odd power units digit of 9 will be 9.
Since expression 12n+3 is odd, the units digit will be 9, which will also be the reminder when the expression is divided by 10.
E is the answer
Answer: E
Question: The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers ?
Options:
A)5/7
B)12/35
C)2/47
D)8/9
E)7/5
Rationale: Explanation:
Let the numbers be a and b. Then, a + b = 12 and ab = 35
a+b/ab=12/35
(1/b+1/a)=12/35
Sum of reciprocals of given numbers=12/35
ANSWER:B
Answer: B
Question: If m/49 is an integer, then each of the following must be an integer EXCEPT
Options:
A)4
B)3
C)9/2
D)4
E)5
Rationale: Now plug m =49 into the answer choices:
A. (49- 28)/7 =3This is an integer
B. (49+ 21)/7 = 10. This is an integer
C. 14(49)/98 = 7. This is an integer
D. (49^2 - 49)/49 =48. This is an integer
E. (49+ 14)/14 = 9/2. This is NOT an integer
Answer: C
Answer: C
Question: If x and y are positive integers, and x^3*y^4 = 432, which of the following is the value of xy?
Options:
A)6
B)10
C)14
D)15
E)21
Rationale: 432 = 2*216 = 2^2*108 = 2^3*54 = 2^4*27 = 2^4*3^3
xy = 2*3 = 6
The answer is A.
Answer: A
Question: 20 women can do a work in 9 days. After they have worked for 6 days. 6 more men join them. How many days will they take to complete the remaining work?
Options:
A)4:7
B)4:3
C)4:2
D)4:0
E)4:1
Rationale: (20 * 16) women can complete the work in 1 day.
1 woman's 1 day work = 1/320
(16 * 15) men can complete the work in 1 day
1 man's 1 day work = 1/240
So, required ratio = 1/240 : 1/320 = 4:3.
Answer: B
Answer: B
Question: What is the area S of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
Options:
A)60.
B)85.
C)125.
D)225.
E)It cannot be determined from the information given
Rationale: Length of one side= 15 (20-5)
Since, its a square, the area will be S= 15^2= 225
D is the answer
Answer: D
Question: The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.
Options:
A)24 cm
B)17 cm
C)14 cm
D)10 cm
E)12 cm
Rationale: Side of first square = (40/4) = 10 cm;
Side of second square = (32/4)cm = 8 cm.
Area of third square = [(10) 2 - (8) 2] cm2 = (100 - 64) cm2 = 36 cm2.
Side of third square = (36)(1/2) cm = 6 cm.
Required perimeter = (6 x 4) cm = 24 cm.
ANSWER A 24cm
Answer: A
Question: The payment per hour for a daily-wages employee is increased by 33.33 and the working time is reduced by 33.33%. What is the percentage change in the employee's income?
Options:
A)Rs. 0.7889
B)Rs. 0.8889
C)Rs. 0.9889
D)Rs. 1.8889
E)Rs. 2.8889
Rationale: If payment per hr is increased by 33.33 % , then
11.11 % decrease in income
If earlier he is getting Rs 1 hr per hr and working for 1 hr, income = Rs 1
Now he is getting Rs 1.3333 per hr and working for 0.66667 hrs, income = Rs. 0.8889
ANSWER:B
Answer: B
Question: The sides of a cube are in the ratio 1:2 the ratio of their volume is?
Options:
A)1:9
B)1:7
C)1:8
D)1:6
E)1:4
Rationale: 1:8
Answer: C
Answer: C
Question: Nine pens are in the table.To create three pens in each group like as three group. How many ways are there to create these 3 teams?
Options:
A)27
B)45
C)90
D)175
E)280
Rationale: Arrange the 6 pen in a straight line in 6! ways.
The first three form team 1, next three form team 2 and last three form team 3. But in each team, the boys are arranged in first, second third positions so you need to un-arrange them by dividing by 3! three times (once for each team). You get 6!/(2! * 2! * 2!)
Also, there are no distinct teams - team1, team2 and team3. You just have three teams. So you also need to un-arrange the three teams by dividing by another 3!.
You get 6!/(2! * 2! * 2!) * 2! = 45
Answer (B)
You get 6!/(2! * 2! * 2!) * 2!
Answer : B
Answer: B
Question: With a slope of 4, with a straight line in the xy- plane which has a point with x-coordinate of the point 14 and y-coordinate 19, find the y-intercept.
Options:
A)-19
B)18
C)-37
D)50
E)37
Rationale: Eq of line = Y = MX +C
M = 4
X= 14
Y= 19
C= Y - MX
Substitute given:
C= 19 - (4)(14)
C = -37
correct option is C
Answer: C
Question: A honey bee flies for 10 seconds, from a daisy to a rose. It immediately continues to a poppy, flying for 6 additional seconds. The distance the bee passed, flying from the daisy to the rose is 14 meters longer than the distance it passed flying from the rose to the poppy. The bee flies to the poppy at 3 meters per second faster than her speed flying to the rose. The bee flies how many meters per second from the daisy to the rose?
Options:
A)2
B)5
C)6
D)8
E)10
Rationale: Let the speed be 's' and let the distance between rose and poppy be 'x'
The problem boils down to:
Rose to Poppy: s+3=x/6 ------- 1
Daisy to Rose: s=(x+14)/10------ 2
so from 1 we can re write x as x=6s+18
substitute the value of x in 2 gives us s=2 m/s
A
Answer: A
Question: If x+y=270, x-y=200, for integers of x and y, y=?
Options:
A)200
B)235
C)50
D)115
E)150
Rationale: x+y = 270
x-y = 200
2x = 70
x = 35
y = 235
Answer is B
Answer: B
Question: Subtracting 10% from X is the same as multiplying X by what number?
Options:
A)98%
B)90%
C)230%
D)97%
E)921%
Rationale: X - (10/100) X = X * ?
? = 90%
Answer:B
Answer: B
Question: In a simultaneous throw of two coins the probability of getting at least one head is ?
Options:
A)3/4
B)1/2
C)1/4
D)2/3
E)1/5
Rationale: S={HH,HT,TH,TT}
E be the event of getting at least one head is {HT,TH,HH}
P(E)=n(E)/n(S)=3/4
Answer(A)
Answer: A
Question: 1,257
1,275
1,527
........
........
+7,521
The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1,2,5 and 7 exactly once in each integer. What is the sum R of the 24 integers ?
Options:
A) 26,996
B) 44,406
C) 60,444
D) 66,660
E) 99,990
Rationale: This is the way i solved it :
Total no. of different combos = 24, total digits 4 therefore each digit must repeat 24/4 = 6 times in each row .. So the right most row would add up to 1x6 + 2x6 + 5x6 + 7x6 = 6+12+30+42 = 90 .. Each row would add up to 90, so 90 in the first means we have 9 that carries over and we get 0 , the second time its 90+9 and 9 stays and one 9 goes to the row to the left, so the last two digits of the SUM R should be 90 (E) .. We could go on and solve the exact number but since only one answer choice has the last digits as 90 we needn't go any further..
Answer: E
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.60 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)165
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 2.60 + X x 3.20 = 432
X = 5.
Hence, total hours of work = (160 + 5) = 165.
answer :A
Answer: A
Question: What least number must be added to 3000 to obtain a number exactly divisible by 19 ?
Options:
A)3
B)2
C)5
D)6
E)9
Rationale: EXPLANATION:
On dividing 3000 by 19, we get 17 as remainder.
Number to be added = (19 - 17) = 2
Answer B
Answer: B
Question: Jill is dividing her 12-person class into two teams of equal size for a basketball game. If no one will sit out, how many different match-ups between the two teams are possible?
Options:
A)10
B)25
C)462
D)252
E)630
Rationale: With 12 players, the process of figuring out how many groups of 6 can be formed is pretty straight-forward....
12C6 = 12!/(6!6!) = 924 possible groups of 6
Once forming that first group of 6, the remaining 6 players would all be placed on the second team by default.
The 'twist' is that the two teams of 6 canshow upin either order:
C
Answer: C
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 35% profit?
Options:
A)2000
B)2160
C)2299
D)2778
E)2771
Rationale: Let C.P. be Rs. x.
Then, (1920 - x)/x * 100 = (x - 1280)/x * 100
1920 - x = x - 1280
2x = 3200 => x = 1600
Required S.P. = 135 % of Rs. 1600 = 135/100 * 1600 = Rs. 2160.
Answer:B
Answer: B
Question: A bonus of Rs.2800 is to be divided among 3 people such that Alex gets twice as much as David, who receives one-fourth as much as Peter. What amount did Peter get?
Options:
A)1200
B)2000
C)1600
D)1500
E)1700
Rationale: Explanation:
Let Peter’s share be x.
Hence, David gets x/4 and Alex gets x/2.
x + x/4 + x/2 = 2800
7x/4 = 2800
x = Rs.1600
ANSWER C
Answer: C
Question: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip
was reduced by 200 km/hr and the time of flight increased by 30 minutes. What is the duration of the
flight ?
Options:
A)3 hours
B)2.4 hours
C)1.4 hours
D)1 hour
E)None of these
Rationale: Explanation:
Let the duration of the flight be x hours.
Then
600x−600x+12=200600x−12002x+1=200x(2x+1)=32x2+x−3=0=>(2x+3)(x−1)=0
Neglecting the negative value for x we get x = 1
Answer: D
Answer: D
Question: A man has Rs.10350 in the form of Rs.50 notes and Rs.500 notes. The total number of notes are 72.Find the number of notes of Rs.50 denomination.
Options:
A)15
B)21
C)17
D)37
E)57
Rationale: Total Money = Rs. 10350.
Let 50 rupees note was X.
Then 500 rupees note = 72 - X
Now,
50*X + 500 * (72 - X) = 10350
50X + 36000 - 500X = 10350
- 450X = - 25650
X = 57.
No. of 50 rupees note = 57.
Answer: Option E
Answer: E
Question: A vendor bought bananas at 6 for $10 and sold them at 4 for $6. Find his gain or loss percent?
Options:
A)5%
B)10%
C)15%
D)20%
E)25%
Rationale: Number of bananas bought = L.C.M of 6 and 4 = 12
C.P. = 10/6 * 12 = $20
S.P. = 6/4 * 12 = $18
Loss% = 2/20 * 100 = 10%
Answer is B
Answer: B
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.
Options:
A)20/60
B)20/63
C)20/69
D)20/61
E)20/611
Rationale: Required probability = (⁵C₃ . ⁴C₁)/⁹C₄ = (10 * 4)/126 = 20/63
Answer: B
Answer: B
Question: A train sets off at 9:00 am at the speed of 70 km/h. Another train starts at 9:30 am in the same direction at the rate of 84 km/h. At what time will the second train catch the first train?
Options:
A)11:00
B)11:30
C)12:00
D)12:30
E)1:00
Rationale: In thirty minutes the first train travels 35 km.
The second train catches the first train at a rate of 84 km/h - 70 km/h = 14 km/h.
The second train will catch the first train in 35/14 = 2.5 hours, so at 12:00 noon.
The answer is C.
Answer: C