divelab/Sys2Bench huggingface dataset:
Question: Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 65 per kg. How much amount did he pay to the shopkeeper?
Options:
A)A)1055
B)B)1075
C)C)1145
D)D)1070
E)E)1080
Rationale: Cost of 8 kg grapes = 70 × 8 = 560.
Cost of 9 kg of mangoes = 65 × 9 = 585.
Total cost he has to pay = 560 + 585 = 1145.
C)
Answer: C
Question: Determine the value of (25/32+50/64)*2
Options:
A)25/8
B)25/4
C)25/6
D)3
E)none
Rationale: Solution:
Both fractions should be reduced before performing arithmetic operations. We get (25/32+2.25/2.32)*2=(25/32+25/32)*2=2*(25/32)*2=4(25/32)=25/8
Answer A
Answer: A
Question: Compound X contains elements A and B at an approximate ratio, by weight, of 2:10. Approximately how many grams of element B are there in 330 grams of compound X?
Options:
A)54
B)162
C)250
D)275
E)322
Rationale: total number of fractions =2+10=12
element B constitutes =10 out of 12 parts of X
So in 330 gms of X have 330*10/12=275 gms of B
and 330-275=55 gms of A.
cross check:- A/B = 55/275 =2/10 (as given)
Ans D
Answer: D
Question: A 16% stock yielding 10% is quoted at :
Options:
A)83.33
B)110
C)112
D)120
E)160
Rationale: Solution
To earn Rs. 10, money invested = Rs. 100.
To earn Rs. 16, money invested = Rs.(100/10X16) = Rs. 160.
âˆ´ Market value of Rs. 100 stock =Rs. 160
Answer E
Answer: E
Question: You collect flowers. Suppose you have 89 flowers. You plucked 77 flowers from tree. How many flowers do you have now.?
Options:
A)89
B)166
C)77
D)12
E)37
Rationale: Solution
You have 89 flowers..
you plucked 77 flowers : 89 + 77 = 166 flowers
So you have 166 flowers
Correct answer: B
Answer: B
Question: Two pipes A and B can fill a tank in 6 hours and 4 hours respectively. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full?
Options:
A)2hrs
B)4hrs
C)5hrs
D)6hrs
E)7hrs
Rationale: A's work in 1 hour = 1/6
B's work in 1 hour = 1/4
A+B 2 hour's work when opened alternately = 1/6 + 1/4 = 5/12
A+B 4 hour's work when opened alternately = 10/12 = 5/6
Remaining part = 1-5/6 = 1/6
it is A's turn and 1/6 part is filled by A in 1 hour.
Total time taken to fill the tank = 4+1 = 5hrs
Answer is C
Answer: C
Question: A cistern can be filled by a tap in 6 hours while it can be emptied by another tap in 12 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Options:
A)5.2 hrs
B)2.9 hrs
C)12 hrs
D)7.2 hrs
E)1.4 hrs
Rationale: Net part filled in 1 hour = (1/6 - 1/12) = 1/12
The cistern will be filled in 12/1 hrs i.e., 12 hrs.
Answer:C
Answer: C
Question: A train covers a distance of 36km in 12 min. If it takes 10 sec to pass a telegraph post, then the length of the train is?
Options:
A)300 m
B)1000 m
C)120 m
D)200 m
E)500 m
Rationale: Speed = (36/12 * 60) km/hr
= (180 * 5/18) m/sec
= 50 m/sec.
Length of the train
= 50 * 10
= 500 m.
Answer: E
Answer: E
Question: If air is called green , green is called blue, blue is called water, sky is called yellow, yellow is called water and water is called water, then what is the color of clear sky ?
Options:
A)Blue
B)Sky
C)Water
D)Yellow
E)Black
Rationale: Explanation:The colour of clear sky is 'blue' and as given, 'blue' is called 'water'.So, the colour of clear sky is 'water'.Answer: C
Answer: C
Question: A jar full of whiskey contains 40% alcohol. A part of
this whiskey is replaced by another containing 19% alcohol
and now the percentage of alcohol was found to be 26%.
The quantity of whiskey replaced is?
Options:
A)2/3
B)1/3
C)1/5
D)1/4
E)1/8
Rationale: Strength of first jar 40% Strength of 2nd jar 19%
Mean Strength 26%
7 14
So,ratio of 1st and 2nd quantities =7:14 =1:2
Therefore required quantity replaced =2/3.
ANSWER A
Answer: A
Question: A corporation paid $7 million in federal taxes on its first $50 million of gross profits and then $30 million in federal taxes on the next $100 million in gross profits. By approximately what percent did the ratio of federal taxes to gross profits increase from the first $50 million in profits to the next $100 million in profits?
Options:
A) 6%
B) 14%
C) 114%
D) 23%
E) 43%
Rationale: Difference in Ratios = (30/100) - (7/50) = (8/50)
% Change = (Change (8/50) / Original ratio (7/50)) *100 = 114%
Answer - C
Answer: C
Question: 7 people average age is 30. youngest person age is 7. find average of the people when youngest was born.
Options:
A)23
B)24
C)25
D)26
E)27
Rationale: average age of people =30
so have total age =210
before 7 years we have to deduct each person age by seven years 210-49=161
so average age would be 161/7=23
ANSWER:A
Answer: A
Question: George went to a fruit market with certain amount of money. With this money he can buy either 50 oranges or 40 mangoes. He retains 10% of the money for taxi fare and buys 10 mangoes. How many oranges can he buy?
Options:
A)25
B)30
C)20
D)16
E)12
Rationale: Let the amount of money be 200
Let cost of 1 Orange be 4
Let cost of 1 mango be 5
He decides to retain 10% of 200 = 20 for taxi fare, so he is left with 180
He buys 20 mangoes ( @ 5) so he spends 100
Money left is 80 (180 - 100)
No of oranges he can buy = 80/4 =>20
So, George can buy 10 Oranges.
C
Answer: C
Question: If selling price is doubled, the profit triples. Find the profit percent?
Options:
A)187
B)100
C)177
D)165
E)122
Rationale: Let C.P. be Rs. x and S.P. be Rx. y.
Then, 3(y - x) = (2y - x) => y = 2x
Profit = (y - x) = Rs. (2x - x) = Rs. x
Profit % = x/x * 100 = 100%.
Answer: B
Answer: B
Question: A can do a work in 12days. When he had worked for 3days, B joinedhim. If they complete the work in 3more days, in how manydays can Balone finish the work?
Options:
A)2 days
B)4 days
C)5 days
D)6 days
E)9 days
Rationale: sax Work done by Afar 3 days : i
J
.. Remzming war — 1
.Work done by (A + B) for 1 day :
. Work done by a for 1 day
6 days
D
Answer: D
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Options:
A)8 sec
B)6 sec
C)4 sec
D)3 sec
E)1 sec
Rationale: Speed of train relative to man = 60 + 6
= 66 km/hr.
= 66 * 5/18 = 55/3 m/sec.
Time taken to pass the men = 110 * 3/55
= 6 sec
Answer:B
Answer: B
Question: The greatest possible length which can be used to measure exactly the length 6m ,2m 85cm, 4m 95 cm is?
Options:
A)25cm
B)101cm
C)56cm
D)42cm
E)15cm
Rationale: Required length = H.C.F of 600cm, 285cm, 495cm = 15cm
Answer is E
Answer: E
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective?
Options:
A)1/129
B)1/199
C)1/122
D)1/121
E)1/126
Rationale: Out of nine, five are good and four are defective. Required probability
= 4C4/9C4 = 1/126
Answer:E
Answer: E
Question: A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Options:
A)10
B)12
C)13
D)14
E)15
Rationale: dividend rs 20 = 9/200*20 = 9/5
Rs 12 is an income Rs 100
9/5 is an income (100/12*9/5) = Rs 15
ANSWER E
Answer: E
Question: Aaron will jog from home at 4 miles per hour and then walk back home by the same route at 8 miles per hour. How many miles from home can Aaron jog so that he spends a total of 3 hours jogging and walking?
Options:
A)2
B)10
C)12
D)8
E)15
Rationale: xyt/(x+y)
x= 4, y=8 t= 3
4*8*3/4+8 = 96/12 = 8
Answer : D
Answer: D
Question: When the integer x is divided by 12, the remainder is 3. Which of the following, when divided by 12, will have a remainder of 6 ?
I. 2x
II. 6x
III. 4x + 6
Options:
A) I only
B) II only
C) III only
D) I and II only
E) I, II, and III
Rationale: is it E.
x= 12*a + 3
2x = 12*2*a + 6
6x = 12*6*a + 18 ( 18 = 12+6)
4x + 6 = 12*4*a + 18 (18 = 12 + 6)
Answer: E
Question: The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 55 sq. cm. Find the length of the rectangle.
Options:
A)16cm
B)18cm
C)15cm
D)20cm
E)23cm
Rationale: Explanation:
Let breadth = x. Then, length = 2x. Then,
(2x - 5) (x + 5) - 2x * x = 55 => 5x - 25 = 55 => x = 16.
Length of the rectangle = 16 cm.
Answer: Option A
Answer: A
Question: A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Options:
A)7 kmph
B)8 kmph
C)4 kmph
D)9 kmph
E)3 kmph
Rationale: 30 --- 3 DS = 10
? ---- 1
18 ---- 3 US = 6
? ---- 1 M = ?
M = (10 + 6)/2 = 8
Answer: B
Answer: B
Question: A flagpole 18 meters high casts a shadow of length 45 meters. If a building under similar conditions casts a shadow of length 50 meters, what is the height of the building (in meters)?
Options:
A)16
B)20
C)24
D)28
E)32
Rationale: The height:length ratio will be equal in both cases.
18 / 45 = x / 50
x = 20
The answer is B.
Answer: B
Question: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
Options:
A)Rs.2500
B)Rs.2700
C)Rs.2800
D)Rs.5000
E)Rs.6000
Rationale: Explanation:
(x*3*1)/100 + [(4000 - x)*5*1]/100 = 144
3x/100 + 200 â€“ 5x/100 = 144
2x/100 = 56 Ã¨ x = 2800
ANSWER IS C
Answer: C
Question: A starts walking at 4 kmph and 4 hours after his start B starts cycling at 10 kmph. After how much distance will B catch up with A
Options:
A)26.2 km
B)25.7 km
C)23.2 km
D)26.67 km
E)None of these
Rationale: Explanation:
Distance travelled by each of them is to be made equal.
=> Distance travelled walking = Distance covered cycling.
Let after 4 hours of walking, A walk for x hours more before B catches up with him.
=> Distance = Speed * Time
(4+x)4 = 10x
x = 8/3
Therefore, It takes B 8/3 hours to catch up with A. Distance: 8/3 x 10 = 80/3 km = 26.67
ANSWER: D
Answer: D
Question: The positive value of x that satisfies the equation (1 + 2x)^5 = (1 + 2x)^4 is between
Bunuel, can you please explain this one?
Options:
A)0 and 0.5
B)0.5 and 1
C)1 and 1.5
D)1.5 and 2
E)2 and 2.5
Rationale: Trial and error would probably be the easiest way to solve this problem. When x is large enough positive number, then because of the exponents (5>4), LHS will be more than RHS (as you increase the positive value of x the distance between the values of LHS and RHS will increase).
Try x=1 --> LHS=3^5=81*3=243 and RHS=4^4=64*4=256, so (1 + 2x)^5 < (1 + 3x)^4. As you can see LHS is still slightly less than than RHS. So, the value of x for which (1 + 2x)^5 = (1 + 3x)^4 is slightly more than 1.
Answer: B.
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)52:50
D)22:56
E)52:51
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: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
Options:
A)17
B)10
C)178
D)162
E)72
Rationale: 7*5: 5*x = 7:10
x = 10
Answer:B
Answer: B
Question: What is the greatest number of 4 digits that when divided by any of the numbers 6, 9, 12, 17 leaves a remainder of 2?
Options:
A)9792
B)9982
C)9794
D)9906
E)None of these
Rationale: Apply hit and trial method at each option
9792/9= 0 remainder (failed)
9982/9= 1 remainder (failed)
9794/6= 2
9794/9= 2
9794/12=2
9793/17= 2
ANSWER:C
Answer: C
Question: A 4-letter code word consists of letters A, B, and C. If the code includes all the three letters, how many such codes are possible?
Options:
A)72
B)48
C)36
D)24
E)18
Rationale: 3 letters A, B and C can be arranged in 3! ways = 6 ways
4th letter can be chosen in 3 ways
Total number of ways = 6*3=18
ANS E: 18
Answer: E
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Options:
A)1.9
B)1.5
C)1.4
D)1.1
E)1.2
Rationale: 72 --- 9 DS = 8
? ---- 1
45 ---- 9 US = 5
? ---- 1 S = ?
S = (8 - 5)/2 = 1.5
Answer: B
Answer: B
Question: Two unemployed young men decided to start a business together. They pooled in their savings, which came to Rs. 2,000. They were both lucky, their business prospered and they were able to increase their capital by 50 per cent every three years. How much did they have in all at the end of eighteen years?
Options:
A)Rs. 22,781.25
B)Rs. 24,150.25
C)Rs. 28,140.50
D)Rs. 18,000
E)Rs. 19,000
Rationale: P = 2000, r = 50/100 = 0.5, t =18/3= 6 (number of years)
C = P ( 1 + r )^(t)
C = 2000 ( 1 + 0.5)^(6)
C = 22781.25rs.
ANSWER:A
Answer: A
Question: In a circle with a radius of 6, what is the area of the biggest rectangle that can be cut out of this circle ?
Options:
A)12
B)96
C)50
D)72
E)144
Rationale: The biggest rectangle would be a square, whose diagonal is 12 (6+6)
if side of square is a, 144=a^2+a^2=2a^2
so area of square=a^2=144/2=72
ANSWER: D
Answer: D
Question: A person travelled from his house to office at 30km/hr and office to house at 15km/hr. Then find the average speed?
Options:
A)15km/hr
B)20km/hr
C)32km/hr
D)24km/hr
E)25km/hr
Rationale: Average speed = (2*30*15)/(30+15)
= 20km/hr
Answer is B
Answer: B
Question: A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
Options:
A)12.8
B)12.5
C)12.9
D)12.1
E)12.2
Rationale: Let the speed of the man in still water be a kmph and let the speed of the stream be b kmph.
Now 30/(a + b) + 20/(a - b) = 4 and 45/(a + b) + 40/(a - b) = 7
Solving the equation, the speed of man in still water is 12.5 kmph.
Answer: B
Answer: B
Question: How many multiples of 5 are less than 5000, and also multiples of 50?
Options:
A)100
B)208
C)625
D)832
E)833
Rationale: The LCM of 5 and 50 is 50. Divide 5000/50 = 100.xxx. So A is your answer.
Answer: A
Question: If two numbers are in the ratio 6:7. If 10 is added to both of the numbers then the ratio becomes 7:8 then find the smallest number?
Options:
A)10
B)60
C)30
D)40
E)50
Rationale: Explanation:
6:7
6x + 10 : 7x + 10 = 7 : 8
8[6x + 10] = 7[7x + 10]
48x + 80 = 49x + 70
49x - 48x = 80 - 70
x = 10
Then smallest number is = 6
6x = 60
Answer: Option B
Answer: B
Question: A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 12:8:7, respectively, by weight. If 54 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?
Options:
A)15
B)10
C)9
D)6
E)4
Rationale: We can first set up our ratio using variable multipliers. We are given that a fruit-salad mixture consists of apples, peaches, and grapes, in the ratio of 6:5:2, respectively, by weight. Thus, we can say:
apples : peaches : grapes = 12x : 8x : 7x
We are given that 54 pounds of the mixture is prepared so we can set up the following question and determine a value for x:
12x + 8x + 7x = 54
27x = 54
x = 2
Now we can determine the number of pounds of apples and of grapes.
pounds of grapes = (7)(2) = 14
pounds of apples = (12)(2) = 24
Thus we know that there are 24-14 = 10 more pounds of apples than grapes.
Answer is B.
Answer: B
Question: In what time will a railway train 30 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
A)5 sec
B)4 sec
C)3 sec
D)6 sec
E)1 sec
Rationale: T = 30/36 * 18/5 = 3 sec
Answer: C
Answer: C
Question: Angelina walked 600 meters from her home to the grocery at a constant speed. She then walked 480 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym?
Options:
A)2
B)3
C)4
D)9
E)12
Rationale: let the speed be X...
so time taken from home to grocery= 600/x..
the speed to gym = 2x..
so time taken = 480/2x=240/x..
its given 600/x-240/x=40..
360/x=40..
x=9m/secs..
so grocery to gym=2*9=18m/s...
D
Answer: D
Question: An alchemist discovered that the formula expressing the correct proportions needed to turn ordinary metal into gold is G = 3/2M + 15, where G is the number of gold bars and M is the number of metal bars. If a metal bar weighs twice as much as a gold bar, how many metal bars will yield an equal weight of gold?
Options:
A)10
B)15
C)22.5
D)30
E)67.5
Rationale: Plug in the answer choices!
A --- 30/2 + 15 = 30 --- wrong
B --- 45/2 + 15 = not an integer --- wrong
C --- 22.5(3/2) + 15 = not an integer --- wrong
D --- 90/2+15 = 60 --- CORRECT
ANSWER:D
Answer: D
Question: It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
Options:
A)(296 + 1)
B)(216 + 1)
C)(216 - 1)
D)(217 - 1)
E)None
Rationale: Let 232 = x. Then, (232 + 1) = (x + 1).
Let (x + 1) be completely divisible by the natural number N. Then,
(296 + 1) = [(232)3 + 1] = (x3 + 1) = (x + 1)(x2 - x + 1), which is completely divisible by N, since (x + 1) is divisible by N.
Option A
Answer: A
Question: If ‘DELHI’ is coded as ‘FGNJK’, then ‘PUNE’ is coded as
Options:
A)RWPG
B)TGFR
C)UHTG
D)WEDS
E)OKJY
Rationale: D= 4 = 4+2 = 6 = F
E = 5 = 5+2= 7= G
SIMILARLY,
P = 16 = 16+2 = 18 =R
U = 21 = 21+2 =23 =W
N = 14 = 14+2 =16 = P
E = 5 = 5+2 = 7 = G
SO ANS IS
RWPG
Answer: A
Question: David and Lewis leave Chennai for Hyderabad simultaneously at 8 P.M in the night driving in two cars at speeds of 50 mph and 70 mph respectively. As soon as Lewis reaches Hyderabad he returns back to Chennai along the same route and meets David on the way back. If the distance between the two cities is 350 miles, how far from Chennai did David and Lewis meet?
Options:
A)250 miles
B)240 miles
C)230 miles
D)235 miles
E)75 miles
Rationale: Time taken by Lewis to reach Hyderabad = 350/70 = 5 hours
In 5 hours, David travels 50*5 = 250 miles
So distance at which they meet should be greater than 250 miles.
Only A satisfies.
Answer is A.
Answer: A
Question: How many Q ways can you group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen?
Options:
A)3
B)16
C)28
D)32
E)56
Rationale: Ways to select 3 people from 8 people (4 twins x 2) = 8C3 = 56
Ways to select 1 twin + 1 people = 4C1*6C1 = 24
Ways to select a group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen Q= 56 - 24 = 32
Ans: D
Answer: D
Question: In how many different number of ways 5 men and 3 women can sit on a shopa which can accommodate persons?
Options:
A)25
B)30
C)75
D)40
E)56
Rationale: 8p2 = 8 x 7 = 56
E)
Answer: E
Question: A salesman sold twice as much pears in the afternoon than in the morning. If he sold $450 kilograms of pears that day, how many kilograms did he sell in the afternoon?
Options:
A)120
B)180
C)300
D)280
E)320
Rationale: 3x=450
x=150
Therefore, the salesman sold 150kg in the morning and 2⋅150=300 kg in the afternoon. So answer is C.
Answer: C
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.
A. 20/31
Options:
A)80/63
B)20/63
C)20/93
D)20/03
E)20/53
Rationale: Explanation:
Required probability = (⁵C₃ . ⁴C₁)/⁹C₄ = (10 * 4)/126 = 20/63
Answer: Option B
Answer: B
Question: In a certain supermarket, a triangular display of cans is arranged in 9 rows, numbered 1 through 9 from top to bottom. Each successively numbered row contains 3 more cans than the row immediately above it. If there are fewer than 120 cans in the entire display, how many cans are in the seventh row?
Options:
A)13
B)15
C)17
D)19
E)21
Rationale: Let x be the number of cans in row 1.
The total number of cans is x + (x+3) + ... + (x+24) =
9x + 3(1+2+...+8) =
9x + 3(8)(9)/2 =
9x + 108
Since the total is less than 120, x must equal 1.
The number of cans in the 7th row is 1 + 3(6) = 19
The answer is D.
Answer: D
Question: By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
Options:
A)20 kmph
B)17 kmph
C)15 kmph
D)14 kmph
E)13 kmph
Rationale: Let the time taken to reach the destination be 3x hours. Total distance
= 40 * 3x = 120x km
He covered 2/3 * 120x
= 80x km in 1/3 * 3x
= x hours So, the remaining 40x km, he has to cover in 2x hours. Required speed
= 40x/2x = 20 kmph.
Answer:A
Answer: A
Question: If a and b are the two values of t that satisfy
the equation t^2 â€“ 12t + 20 = 0, with a > b, what is the value of a â€“ b?
Options:
A)2
B)4
C)6
D)8
E)10
Rationale: Factor the left side of the equation:
t^2 â€“ 12t + 20 = 0
(t â€“ 2)(t â€“ 10) = 0
t = 2, t = 10
Thus, a = 10 and b = 2. So a â€“ b = 10 â€“ 2 = 8.
The answer is D.
Answer: D
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
Options:
A)1000
B)2877
C)2769
D)2776
E)9871
Rationale: 1120 = P [1 + (5*12/5)/100]
P= 1000
Answer:A
Answer: A
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 3 years the amount to be paid is?
Options:
A)3377
B)2688
C)2688
D)8436
E)1268
Rationale: A = 7500(26/25)^3 = 8436
Answer: D
Answer: D
Question: Which is the odd number out?
9421, 7532, 9854, 8612, 6531, 8541
Options:
A)8612
B)8626
C)2579
D)6642
E)7493
Rationale: C
8612.
All the other numbers have their digits in descending order.
Answer: A
Question: Which of the following can be a perimeter q of a triangle inscribed in a circle of radius 1?
I. 0.001
II. 0.010
III. 0.100
Options:
A)I only
B)III only
C)II and III only
D)I, II, and III
E)Not I, II, or III
Rationale: Yes,the length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
But how do you use the above property to solve the question?
The lower limit of the perimeter of an inscribed triangle in a circle of ANY radius is 0: q>0.
Answer is D.
Answer: D
Question: A car is purchased on hire-purchase. The cash price is $23 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly instalments. Interest is charged at 12% p.a. What is the monthly instalment?
Options:
A)$503
B)$504
C)$515
D)$543
E)$552
Rationale: Explanation:
Cash price = $23 000
Deposit = 10% Ã— $23 000 = $2300
Loan amount = $23000 âˆ’ $2300
Number of payments = 60
= $20700
I=p*r*t/100
I=12420
Total amount = 20700 + 12420 = $33120
Regular payment = total amount /number of payments =552
Answer: E
Answer: E
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Options:
A)22
B)50
C)888
D)277
E)21
Rationale: Speed of the train relative to man = 125/10 = 25/2 m/sec.
= 25/2 * 18/5 = 45 km/hr
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.
x - 5 = 45 => x = 50 km/hr.
Answer: B
Answer: B
Question: The total age of A and B is 13 years more than the total age of B and C. C is how many year younger than A
Options:
A)A)11
B)B)12
C)C)13
D)D)14
E)E)15
Rationale: Explanation:
Given that A+B = 13 + B + C
=> A – C = 13 + B – B = 13
=> C is younger than A by 13 years
Answer: Option C
Answer: C
Question: Niki covers a distance in 45 min , if she drives at a speed of 60 km/h on an average. Find the speed at which she must drive at to reduce the time of the journey by 50%.
Options:
A)101.02 kmph
B)121.62 kmph
C)100.62 kmph
D)111.00 kmph
E)121.00 kmph
Rationale: Given Speed = 60 Kmph.
It means Niki covered 60 km in 60 min (1 hour). So, in 45 min he will cover 45 km.
50% time reduced = 45 - 50% of 45 = 22.5 min.
Thus, Niki needs to cover 45 km in 22.5 min (0.37hour).
Speed * Time = Distance.
Speed * 0.37 = 45
Speed = 121.62 kmph.
ANSWER : OPTION B
Answer: B
Question: Anup was asked to find the value of 7/12 of a sum of money T. Instead of multiplying the same by 7/12,he divided it by 7/12 and his answer exceeded the correct answer by 95. The correct answer is:
Options:
A) 48
B) 89
C) 84
D) 69
E) 49
Rationale: T=12/7*x-7/12*x=95 --> x=84 --> 7/12*x=49.
So if bythe correct answerquestion means 7/12 of the amount then the answer should be E.
Answer: E