AMCAT Quantitate Ability Paper with Answers
AMCAT Question Bank all 2016 Logical Reasoning Questions
Topics

Sub Topics

Expected Ques

Basic Mathematics


6 – 8 Questions

Applied Mathematics


8 – 10 Questions

Engineering Mathematics


8 – 10 Questions

Ques 3 : Choose the correct answer.
Option 1 : 1 litre
Option 2 : 7 litre
Option 3 : 31 litre
Option 4 : 41 litre
Ques 24: Choose the correct answer.
Option 1 : 4
Option 2 : 10
Option 3 : 15
Option 4 : 16
Ques 25 : Choose the correct answer.
Option 1 : 12 midnight
Option 2 : 3 a.m.
Option 3 : 6 a.m.
Option 4 : 9 a.m.
Option 1 : 47
Option 2 : 60
Option 3 : 72
Option 4 : None of these
Option 1 : 1
Option 2 : 2
Option 3 : 3
Option 4 : 4
Option 1 : 35718
Option 2 : 63810
Option 3 : 537804
Option 4 : 3125736
Option 1 : 14342
Option 2 : 15211
Option 3 : 14944
Option 4 : 15411
Option 5 : None of these
Option 1 : 251664
Option 2 : 231564
Option 3 : 246016
Option 4 : 346016
Option 5 : None of these
Option 1 : 3360
Option 2 : 336
Option 3 : 1616
Option 4 : 20516
Option 5 : None of these
Option 1 : 1600
Option 2 : 1800
Option 3 : 2200
Option 4 : 2600
Option 5 : None of these
Option 1 : 28,70
Option 2 : 28,7
Option 3 : 8,70
Option 4 : 8,40
Option 5 : None of these
Option 1 : 3
Option 2 : 1
Option 3 : 4
Option 4 : 0
Option 1 : 8100
Option 2 : 17600
Option 3 : 44100
Option 4 : None of these
Option 1 : for all values of n
Option 2 : only for even values of n
Option 3 : only for odd values of n
Option 4 : for no values of n
Correct Answer:
Ques 84 : Choose the correct answer.
number of triangles that can be formed by choosing the vertices from a
set of 12 points, seven of which lie on the same straight line is
number of ways in which 8 different flowers can be strung to form a
garland so that 4 particular flowers are never separated is
an election there are five candidates and three members to be elected ,
and a voter may vote for any number of candidates not greater than the
number to be elected. Then the number of ways in which a voter may vote
is
sides AB, BC, CA of a triangle ABC have 3,4 and 5 interior points
respectively on them. The total number of triangles that can be
constructed by using these points as vertices is
lady gives dinner party to five guests to be selected from 9 friends
.The number of ways of forming the party of 5,given that two of the
friends will not attend the party together is
question has four choices out of which only one is correct. A candidate
has to answer four questions. The number of ways he fails to give all
answers correctly, is
college has 10 basketball players. A 5member team and a captain will
be selected out of these 10 players. How many different selections can
be made?
the letters of the word CHASM are rearranged to form 5 letter words
such that none of the word repeat and the results arranged in ascending
order as in a dictionary what is the rank of the word CHASM?
bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at
random from the bag. The probability that all of them are red, is:
box contains 20 electric bulbs, out of which 4 are defective. Two bulbs
are chosen at random from this box. The probability that at least one
of these is defective, is:
a class, 30% of the students offered English, 20% offered Hindi and 10%
offered both. If a student is selected at random, what is the
probability that he has offered English or Hindi ?
box contains 6 red balls, 7 green balls and 5 blue balls. Each ball is
of a different size. The probability that the red ball being selected is
the smallest red ball, is
5digit number is formed by the digits 1,2,3,4 and 5 without
repetition. What is the probability that the number formed is a multiple
of 4?
bag contains 5 oranges, 4 bananas and 3 apples. Rohit wants to eat a
banana or an apple. He draws a fruit from the bag randomly. What is the
probability that he will get a fruit of his choice?
are two boxes A and B. Box A has three red and four blue balls. Box B
has five red and two blue balls. Anya draws a ball from each bag
randomly. What is the probability that both balls are red?
has a bag full of 10 Nestle and 5 Cadbury chocolates. He draws two
chocolates. What is the probability that he got at least one Nestle
chocolate?
bag contains 5 yellow and 4 brown pencils. If two pencils are drawn,
what is the probability that the pencils are of the same colour?
Ques 176 : Choose the correct answer.
The
probability that a man can hit a target is 3/4. He tries 5 times. The
probability that he will hit the target at least three times is:
Option 1 : 291/364 Option 2 : 371/464 Option 3 : 471/502 Option 4 : 459/512
Ques 177 : Choose the correct answer.
An unbiased dice is rolled 3 times. The probability that the value on the dice is not more than 4 in any of the 3 rolls is:
Option 1 : 8/27 Option 2 : 1/27 Option 3 : 26/27 Option 4 : 2/3
Ques 178 : Choose the correct answer.
Probability of
occurrence of event A is 0.5 and that of event B is 0.2. The
probability of occurrence of both A and B is 0.1. What is the
probability that none of A and B occur?
Option 1 : 0.3 Option 2 : 0.4 Option 3 : 0.7 Option 4 : None of these
Ques 179 : Choose the correct answer.
An
unbiased coin is tossed 5 times. If tail appears on first four tosses,
then probability of tail appearing on the fifth toss is:
Option 1 : 1/2 Option 2 : 1 Option 3 : 0 Option 4 : 4/5
Ques 180 : Choose the correct answer.
X
and Y are two independent events. The probability that X and Y occur is
1/12, and the probability that neither occur is 1/2, the probability of
occurrence of X can be:
Option 1 : 1/3 Option 2 : 1/5 Option 3 : 1/2 Option 4 : 1/10
Ques 181 : Choose the correct answer.
An
unbiased coin is tossed n times. If the probability of getting 4 tails
equals the probability of getting 7 tails, then the probability of
getting two tails is:
Option 1 : 55/2048 Option 2 : 3/4096 Option 3 : 1/1024 Option 4 : None of these
Ques 182 : Choose the correct answer.
Sudhanshu
and Pankaj stand in a circle with 10 other persons. If the arrangement
of the person is at random, then the probability that there are exactly 3
persons between Sudhanshu and Pankaj is?
Option 1 : 9/11 Option 2 : 2/11 Option 3 : 1/11 Option 4 : None of these
Ques 183 : Choose the correct answer.
Three numbers are chosen from 1 to 30 randomly. The probability that they are not consecutive is:
Option 1 : 1/145 Option 2 : 144/145 Option 3 : 139/140 Option 4 : 1/140
Ques 184 : Choose the correct answer.
A
bag is full of 20 bananas and no other fruit. Rajeev draws a fruit from
the bag. What is the probability that he will draw a banana?
Option 1 : 1 Option 2 : 0 Option 3 : 1/2 Option 4 : None of these
Ques 185 : Choose the correct answer.
An
unbiased dice is rolled 5 times and the outcomes are 1, 2, 3, 4 and 5
respectively. If it is rolled again, what is the probability that the
outcome is 6?
Option 1 : 1 Option 2 : 5/6 Option 3 : 1/6 Option 4 : None of these
Ques 186 : Choose the correct answer.
The
probability of drawing an apple from a bag of fruits is 6/25. How many
apples should Ravi draw, so that there is a chance he will draw 12
apples on average?
Option 1 : 25 Option 2 : 50 Option 3 : 12 Option 4 : None of these
Ques 187 : Choose the correct answer.
What is the probability for a day to be Sunday?
Option 1 : 1/7 Option 2 : 1/5 Option 3 : 52/365 Option 4 : None of these
Ques 188 : Choose the correct answer.
Rani
has a bag with three blue and three yellow coins. She takes out a coin,
sees its colour and puts it back in the bag. She does this thrice. What
is the probability that she saw all blue coins.
Option 1 : 1/8 Option 2 : 1/2 Option 3 : 1/3 Option 4 : None of these
Ques 189 : Choose the correct answer.
Shikhar
has a bag with 2 balls, each of which can be black or white with equal
probability. Now, he draws out a ball and it turns out to be black.
After this event, what is the probability that both balls are black?
Option 1 : 1/2 Option 2 : 1/4 Option 3 : 1 Option 4 : None of these
Ques 190 : Choose the correct answer.
A
coin is tossed thrice. What is the probability that the first toss of
coin lands head, second tail and third lands tail as well?
Option 1 : 1/16 Option 2 : 3/8 Option 3 : 1/8 Option 4 : None of these
Ques 191 : Choose the correct answer.
The
probability of occurrence of event A is 0.3 and that of event B is 0.4.
The events are independent. What is the probability of occurrence of
both A and B?
Option 1 : 0.7 Option 2 : 0.1 Option 3 : 0.12 Option 4 : Cannot be determined
Ques 192 : Choose the correct answer.
The
probability of occurrence of event A is 0.1 and that of event B is 0.2.
The events are mutually exclusive. What is the probability of
occurrence of both A and B?
Option 1 : 0.1 Option 2 : 0 Option 3 : 1 Option 4 : Cannot be determined
Ques 193 : Choose the correct answer.
The
probability of occurrence of event X is 0.8 and that of event Y is
0.05. The events are mutually exclusive. What is the probability of
occurrence of either X or Y?
Option 1 : 0.85 Option 2 : 0.75 Option 3 : 0 Option 4 : Cannot be determined
Ques 194 : Choose the correct answer.
10%
of the voters did not cast their vote in an election between two
candidates. 10% of the votes polled were found invalid. The successful
candidate got 54% of the valid votes and won by a majority of 1620
votes. The number of voters enrolled on the vo
Option 1 : 25000 Option 2 : 33000 Option 3 : 35000 Option 4 : 40000
Ques 195 : Choose the correct answer.
A,
B, C started a business with their investments in the ratio 1:3:5.
After 4 months, A invested the same amount as before and B as well as
C withdrew half of their investments. The ratio of their profits at the
end of the year is:
Option 1 : 4:3:5 Option 2 : 5:6:10 Option 3 : 6:5:10 Option 4 : 10:5:6
Ques 196 : Choose the correct answer.
Tea
worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety
in the ratio 1:1:2. If the mixture is worth Rs. 153 per kg, the price of
the third variety per kg will be:
Option 1 : Rs. 169.50 Option 2 : Rs. 170 Option 3 : Rs. 175.50 Option 4 : Rs. 180
Ques 197 : Choose the correct answer.
A
can contains a mixture of two liquids A and B in the ratio 7:5. When 9
litres of mixture are drawn off and the can is filled with B, the ratio
of A and B becomes 7:9. How many litres of liquid A was contained by the
can initially ?
Option 1 : 10 Option 2 : 20 Option 3 : 21 Option 4 : 25
Ques 198 : Choose the correct answer.
A
man bought a number of clips at 3 for a rupee and an equal number at 2
for a rupee. At what price per dozen should he sell them to make a
profit of 20% ?
Option 1 : Rs 4 Option 2 : Rs 5 Option 3 : Rs 6 Option 4 : Rs 7
Ques 199 : Choose the correct answer.
Padam
purchased 30 kg of rice at the rate of 17.50 per kg and another 30 kg
rice at a certain rate. He mixed the two and sold the entire quantity at
the rate of Rs. 18.60 per kg and made 20% overall profit. At what price
per kg did he purchase the lot
Option 1 : Rs.12.50 Option 2 : Rs. 13.50 Option 3 : Rs. 14.50 Option 4 : Rs. 15.50 Option 5 : None of these
Ques 200 : Choose the correct answer.
The
manufacturer of a certain item can sell all he can produce at the
selling price of Rs. 60 each. It costs him Rs. 40 in materials and
labour to produce each item and he has overhead expenses of Rs. 3000 per
week in order to operate the plant. The numb
Option 1 : 200 Option 2 : 250 Option 3 : 300 Option 4 : 400
Ques 201 : Choose the correct answer.
A
sells a bicycle to B at a profit of 20%. B sells it to C at a profit of
25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is:
Option 1 : Rs. 110 Option 2 : Rs.120 Option 3 : Rs. 125 Option 4 : Rs. 150
Ques 202 : Choose the correct answer.
If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:
Option 1 : Rs. 50 Option 2 : Rs. 160 Option 3 : Rs. 200 Option 4 : Rs. 225
Ques 203 : Choose the correct answer.
Consider the following statements : If a sum of money is lent at simple interest, then the
1. Money gets doubled in 5 years if the rate of interest is 50/3 %.
2. Money gets doubled in 5 years if the rate of interest is 20%.
3. Money becomes
Option 1 : 1 and 3 are correct Option 2 : 2 alone is correct Option 3 : 3 alone is correct Option 4 : 2 and 3 are correct
Ques 204 : Choose the correct answer.
The difference between simple interest and compound interest on Rs.1200 for one year at 10% per annum reckoned halfyearly is:
Option 1 : Rs. 2.50 Option 2 : Rs. 3 Option 3 : Rs. 3.75 Option 4 : Rs. 4 Option 5 : None of these
Ques 205 : Choose the correct answer.
A
sum of money lent at compound interest for 2 years at 20% per annum
would fetch Rs. 482 more, if the interest was payable halfyearly than
if it was payable annually. The sum is:
Option 1 : Rs. 10,000 Option 2 : Rs. 20,000 Option 3 : Rs. 40,000 Option 4 : Rs. 50,000
Ques 206 : Choose the correct answer.
The simple interest on Rs. 10 for 4 months at the rate of 3 paise per rupee per month is:
Option 1 : Rs. 1.20 Option 2 : Rs. 1.60 Option 3 : Rs. 2.40 Option 4 : Rs. 3.60
Ques 207 : Choose the correct answer.
If
the compound interest on a sum for 2 years at 25/2 % per annum is Rs.
510, the simple interest on the same sum at the same rate for the same
period of time is:
Option 1 : Rs. 400 Option 2 : Rs. 450 Option 3 : Rs. 460 Option 4 : Rs. 480
Ques 208 : Choose the correct answer.
I
started on my bicycle at 7 a.m. to reach a certain place. After going a
certain distance, my bicycle went out of order. Consequently, I rested
for 35 minutes and came back to my house walking all the way. I reached
my house at 1 p.m. If my cycling s
Option 1 : 4.92 km Option 2 : 13.44 km Option 3 : 14.375 km Option 4 : 15.476 km
Ques 209 : Choose the correct answer.
A
bag contains 10paisa, 20paisa and 25paisa coins in the ratio 7:4:3.
If the total value is Rs. 90, the number of 25paisa coins in the bag
is:
Option 1 : 120 Option 2 : 160 Option 3 : 280 Option 4 : 300
Ques 210 : Choose the correct answer.
Find
a whole number such that when one of its digit is erased, the resulting
number is equal to oneninth of the original number. The resulting
number is also a multiple of 9.
Option 1 : 90 Option 2 : 83438 Option 3 : 10125 Option 4 : 70847
Ques 211 : Choose the correct answer.
A
ship is moving at a speed of 30 kmph. To know the depth of the ocean
beneath it, it sends a radiowave which travels at a speed 200 m/s. The
ship receives back the signal after it has moved 500 m. What is the
depth of the ocean?
Option 1 : 4 km Option 2 : 8 km Option 3 : 6 km Option 4 : 12 km
Ques 212 : Choose the correct answer.
In
a town the population grows at a simple rate of 10% in a decade and
compounds from decade to decade. Find the population at the beginning of
the 1970s if the population at the beginning of the 1990s is 3,63,000
people.
Option 1 : 30,000 Option 2 : 3,00,000 Option 3 : 30,00,000 Option 4 : 3,15,000
Ques 213 : Choose the correct answer.
In approximately how many years will a certain sum of money triple itself at 22% simple interest?
Option 1 : 10 years Option 2 : 11 years Option 3 : 9 years Option 4 : 12 years
Ques 214 : Choose the correct answer.
A
man rows a boat at a speed of 5 km/hr in still water. Find the speed of
a river if it takes him 1 hr to row a boat to a place 2.4 km away and
return back.
Option 1 : 1 km/hr Option 2 : 6 km/hr Option 3 : 3 km/hr Option 4 : 4 km/hr
Ques 215 : Choose the correct answer.
A
boat covers 40 km upstream and 90 km downstream in 5 hr. It can also
cover 60 km upstream and 60 km downstream in 5 hr. The speed of the
water current is
Option 1 : 4 km/hr Option 2 : 5 km/hr Option 3 : 20 km/hr Option 4 : 25 km/hr
Ques 216 : Choose the correct answer.
Two
champion swimmers start a twolength swimming race at the same time,
but from opposite ends of the pool. They swim at constant but different
speeds. They first pass at a point 18.5 m from the deep end. Having
completed one length, each swimmer take
Option 1 : 90 m Option 2 : 45 m Option 3 : 26.5m Option 4 : Data insufficient
Ques 217 : Choose the correct answer.
A
and B start together from the same point on a circular track and walk
in the same direction till they both again arrive together at the
starting point. A completes one circle in 224 s and B in 364 s. How many
times will A have passed B?
Option 1 : 4 Option 2 : 5 Option 3 : 6 Option 4 : 7
Ques 218 : Choose the correct answer.
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
Option 1 : 12 Option 2 : 18 Option 3 : 22 Option 4 : 24 Option 5 : None of these
Ques 219 : Choose the correct answer.
39
persons can repair a road in 12 days, working 5 hours a day. In how
many days will 30 persons, working 6 hours a day, complete the work ?
Option 1 : 10 Option 2 : 13 Option 3 : 14 Option 4 : 15
Ques 220 : Choose the correct answer.
If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days ?
Option 1 : 1 Option 2 : 7/2 Option 3 : 7 Option 4 : 49
Ques 221 : Choose the correct answer.
Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in:
Option 1 : 6 days Option 2 : 4 days Option 3 : 3 days Option 4 : 12 days
Ques 222 : Choose the correct answer.
Ronald
and Elan are working on an assignment. Ronald takes 6 hours to type 32
pages on a computer, while Elan takes 5 hours to type 40 pages. How much
time will they take, working together on two different computers
to type an assignment of 110 pages ?
Option 1 : 7 hours 30 minutes Option 2 : 8 hours Option 3 : 8 hours 15 minutes Option 4 : 8 hours 25 minutes
Ques 223 : Choose the correct answer.
A
and B can do a work in 12 days, B and C in 15 days, C and A in 20 days.
If A, B and C work together, they will complete the work in:
Option 1 : 5 days Option 2 : 47/6 days Option 3 : 10 days Option 4 : 47/3 days
Ques 224 : Choose the correct answer.
A and B can do a job together in 7 days. A is 7/4 times as efficient as B. The same job can be done by A alone in:
Option 1 : 28/3 days Option 2 : 11 days Option 3 : 49/4 days Option 4 : 49/3 days
Ques 225 : Choose the correct answer.
A
and B can complete a work in 15 days and 10 days respectively. They
started doing the work together but after 2 days B had to leave and A
alone completed the remaining work. The whole work was completed in:
Option 1 : 8 days Option 2 : 10 days Option 3 : 12 days Option 4 : 15 days
Ques 226 : Choose the correct answer.
A,
B and C together can complete a piece of work in 10 days. All the three
started working at it together and after 4 days A left. Then B and C
together completed the work in 10 more days. A alone could complete the
work in:
Option 1 : 15 days Option 2 : 16 days Option 3 : 25 days Option 4 : 50 days
Ques 227 : Choose the correct answer.
One
pipe can fill a tank three times as fast as another pipe. If together
the two pipes can fill the tank in 36 minutes, then the slower pipe
alone will be able to fill the tank in:
Option 1 : 81 min Option 2 : 108 min Option 3 : 144 min Option 4 : 192 min
Ques 228 : Choose the correct answer.
A
large tanker can be filled by two pipes A and B in 60 minutes and 40
minutes respectively. How many minutes will it take to fill the tanker
from empty state if B is used for half the time and A and B fill it
together for the other half ?
Option 1 : 15 min Option 2 : 20 min Option 3 : 27.5 min Option 4 : 30 min
Ques 229 : Choose the correct answer.
Three
taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If
A is open all the time and B and C are open for one hour each
alternately, the tank will be full in:
Option 1 : 6 hrs. Option 2 : 20/3 hrs Option 3 : 7 hrs Option 4 : 15/2 hrs
Ques 230 : Choose the correct answer.
Two
pipes can fill a tank in 20 and 24 minutes respectively and a waste
pipe can empty 3 gallons per minute. All the three pipes working
together can fill the tank in 15 minutes. The capacity of the tank is:
Option 1 : 60 gallons Option 2 : 100 gallons Option 3 : 120 gallons Option 4 : 180 gallons
Ques 231 : Choose the correct answer.
Ram
and Shyam together do a work in 8 days. Both of them began to work.
After 3 days Ram fell ill. Shyam completed the remaining work in 15
days. In how many days can Ram complete the whole work?
Option 1 : 12 Option 2 : 17 Option 3 : 16 Option 4 : 15
Ques 232 : Choose the correct answer.
Two
workers A and B were employed for a work. A takes 8 hour more than the
time taken by A and B together. If B takes 4.5 hours more than the time
taken by A and B together, how long would A and B take together to
complete the work?
Option 1 : 7 hours Option 2 : 6 hours Option 3 : 5 hours Option 4 : 4 hours
Ques 233 : Choose the correct answer.
If 5 persons can do 5 times of a work in 5 days, then 10 persons can do 10 times of that work in:
Option 1 : 10 days Option 2 : 8 days Option 3 : 5 days Option 4 : 2 days
Ques 234 : Choose the correct answer.
Two
taps can fill a cistern in 6 min. and 7 min. respectively. If these
taps are opened alternatively for a minute, in what time will the
cistern be filled?
Option 1 : 5.67 min Option 2 : 6.25 min Option 3 : 5 min Option 4 : 45/7 min
Ques 235 : Choose the correct answer.
Two
taps A and B can fill a cistern in 28 min. and 42 min. respectively.
Third tap C can empty it in 42 min. If all the three taps are opened,
the time taken to fill the cistern is:
Option 1 : 30 min Option 2 : 35 min Option 3 : 28 min Option 4 : 42 min
Ques 236 : Choose the correct answer.
49
pumps can empty a reservoir in 6½ days, working 8 hours a day. If 196
pumps are used for 5 hours a day, then the same work will be completed
in:
Option 1 : 2.6 days Option 2 : 3 days Option 3 : 2.5 days Option 4 : 2 days
Ques 237 : Choose the correct answer.
16
men complete onefourth of a piece of work in 12 days. What is the
additional number of men required to complete the work in 12 more days ?
Option 1 : 48 Option 2 : 36 Option 3 : 30 Option 4 : 16
Ques 238 : Choose the correct answer.
A
takes thrice as long to do a piece of work, as B takes. A and B
together can do a piece of work in 7.5 days. A alone can do in:
Option 1 : 30 days Option 2 : 40 days Option 3 : 50 days Option 4 : 60 days Option 5 : None of these
Ques 239 : Choose the correct answer.
A
cistern can be filled by two pipes A and B in 10 and 15 hours
respectively and is then emptied by a tap in 8 hours. If all the taps
are opened, the cistern will be fill in:
Option 1 : 21 hours Option 2 : 22 hours Option 3 : 23 hours Option 4 : 24 hours Option 5 : None of these
Ques 240 : Choose the correct answer.
A
locomotive engine, without any wagons attached to it, can go at a
speed of 40 km/hr. Its speed is diminished by a quantity that varies
proportionally as the square root of the number of wagons attached. With
16 wagons, its speed is 28 km/hr. The
Option 1 : 99 Option 2 : 100 Option 3 : 101 Option 4 : 120
Ques 241 : Choose the correct answer.
If
33 untrained labourers can do a work in 15 days of 12 hr. each, how
many trained labourers can do 50% more work in 11 days of 9 hr each ?
(It may be assumed that it takes 2 trained labourers to do the work of 5
untrained labourers)
Option 1 : 42 Option 2 : 36 Option 3 : 90 Option 4 : 100
Ques 242 : Choose the correct answer.
Which of the following fractions is less than 7/8 and greater than 1/3 ?
Option 1 : 1/4 Option 2 : 23/24 Option 3 : 11/12 Option 4 : 11/24
Ques 243 : Choose the correct answer.
892.7 – 573.07 – 95.007 = ?
Option 1 : 224.623 Option 2 : 224.777 Option 3 : 233.523 Option 4 : 414.637
Ques 244 : Choose the correct answer.
Which is the closest approximation to the product 0.3333 x 0.25 x 0.499 x 0.125 x 24 ?
Option 1 : 1/8 Option 2 : 3/4 Option 3 : 3/8 Option 4 : 2/5
Ques 245 : Choose the correct answer.
Find the value of X :
0.009/X = 0.01
Option 1 : 0.0009 Option 2 : 0.09 Option 3 : 0.9 Option 4 : 9
Ques 246 : Choose the correct answer.
The least among the following is:
Option 1 : 0.2 Option 2 : 1/0.2 Option 3 : 0.22222222 Option 4 : (0.2)2
Ques 247 : Choose the correct answer.
In the following expression, there are two missing digits: * and #. Find the value of *.
1*5#4 / 148 = 78
Option 1 : 1 Option 2 : 4 Option 3 : 6 Option 4 : 8 Option 5 : None of these
Ques 248 : Choose the correct answer.
What is the value of (5)(4)(2)(1/2)(3/4) ?
Option 1 : 30 Option 2 : 15 Option 3 : 15 Option 4 : 30
Ques 249 : Choose the correct answer.
If x * y = x2 + y2 – xy, then the value of 9 * 11 is:
Option 1 : 93 Option 2 : 103 Option 3 : 113 Option 4 : 121
Ques 250 : Choose the correct answer.
If a = 0.1039, then the value of (4a2 – 4a + 1)1/2 + 3a is:
Option 1 : 0.1039 Option 2 : 0.2078 Option 3 : 1.1039 Option 4 : 2.1039
Ques 251 : Choose the correct answer.
If a, b, c, d, e are five consecutive odd numbers, their average is:
Option 1 : 5 (a + 4) Option 2 : (abcde/5) Option 3 : 5 (a + b + c + d + e) Option 4 : None of these
Check Answer:
Ques 252 : Choose the correct answer.
(x % of 932) + 30 = 309.6
Find x.
Option 1 : 25 Option 2 : 30 Option 3 : 35 Option 4 : 40
Check Answer:
Ques 253 : Choose the correct answer.
Which of the following multipliers will cause a number to be increased by 29.7% ?
Option 1 : 1.297 Option 2 : 12.97 Option 3 : 129.7 Option 4 : 1297
Check Answer:
Ques 254 : Choose the correct answer.
If 2A = 3B and 4B = 5C, then A: C is:
Option 1 : 4 : 3 Option 2 : 8 : 15 Option 3 : 15 : 8 Option 4 : 3 : 4
Check Answer:
Ques 255 : Choose the correct answer.
0.4777 . . . is the recurring decimal for the fraction:
Option 1 : 4777/100000 Option 2 : 477/100 Option 3 : 437/1000 Option 4 : 43/90
Check Answer:
Ques 256 : Choose the correct answer.
0.8888 ÷ 0.011 is equal to:
Option 1 : 8.08 Option 2 : 80.8 Option 3 : 0.808 Option 4 : None of these
Check Answer:
Ques 257 : Choose the correct answer.
The ascending order of rational numbers 7/10, 5/8, 2/3 is:
Option 1 : 7/10, 2/3, 5/8 Option 2 : 7/10, 5/8, 2/3 Option 3 : 5/8, 7/10, 2/3 Option 4 : 2/3, 5/8, 7/10
Check Answer:
Ques 258 : Choose the correct answer.
If A is real and 1 + A + A2 + A3 = 40, then A is equal to:
Option 1 : 3 Option 2 : 1 Option 3 : 1 Option 4 : 3
Check Answer:
Ques 259 : Choose the correct answer.
(1 + 3 + 5 + … + 3983) / 1992 = ?
Option 1 : 1988 Option 2 : 1992 Option 3 : 1990 Option 4 : None of these
Check Answer:
Ques 260 : Choose the correct answer.
Which one of the following should be added to 25p2 + 16q2, so that the resulting sum becomes a perfect square?
Option 1 : 20pq Option 2 : 30pq Option 3 : 40pq Option 4 : 50p2q2
Check Answer:
Ques 261 : Choose the correct answer.
(1.0816) 1/2= ?
Option 1 : 0.14 Option 2 : 1.4 Option 3 : 1.004 Option 4 : 1.04
Ques 262 : Choose the correct answer.
If the digit in the units place of a square natural number is 6, then the digit in the tens place will be:
Option 1 : 1 Option 2 : 3 Option 3 : Even Option 4 : Odd
Ques 263 : Choose the correct answer.
(a+b)3(ab)3 can be factorized as:
Option 1 : 2b(3a2+b2) Option 2 : 2a(3a2+b2) Option 3 : 2b(3b2+a2) Option 4 : 2a(a2+3b2)
Ques 264 : Choose the correct answer.
If
9×2+3px+6q when divide by 3x+1 leaves a remainder 3/4 and qx2+4px+7 is
exactly divisible by x+1, then the values of p and q respectively will
be:
Option 1 : 0, 7/4 Option 2 : 7/4, 0 Option 3 : Same Option 4 : 7/4, 0
Ques 265 : Choose the correct answer.
The equations 2x+3y7=0 and 10x+15y35=0 are:
Option 1 : Consistent and have unique solution Option 2 : Consistent and have infinitely many solutions Option 3 : inconsistent Option 4 : none of these
Ques 266 : Choose the correct answer.
The solution of the simultaneous equations (1/2)x + (1/3)y = 2 and x+y=1 is:
Option 1 : x = 0, y = 1 Option 2 : x = 1, y = 0 Option 3 : x = 2/3, y = 3/2 Option 4 : x = 10, y = 9
Ques 267 : Choose the correct answer.
If the equation x22(k+1)x+(9/2)k=0 has two identical roots then the values of k are:
Option 1 : k=1, 2 Option 2 : k=2 or 1/2 Option 3 : k=3, 1/2 Option 4 : none of these
Ques 268 : Choose the correct answer.
The number which should be subtracted from 5a23ab+7b2 to make it equal to a2+ab+b2, is:
Option 1 : 4a24ab+6b2 Option 2 : 4a24ab+5b2 Option 3 : 4a2+4ab+6b2 Option 4 : 4a23ab+6b2 Option 5 : None of these
Ques 269 : Choose the correct answer.
If x = (1/2) (2p+2qr), y = (1/3) (p2q+3r) and z=(1/5) (3p4r+5q), then the value of 2x3y5z is:
Option 1 : 0 Option 2 : q Option 3 : 2 Option 4 : None of these
Ques 270 : Choose the correct answer.
The roots of the quadratic equation 6×25x+1=0 are:
Option 1 : 2,3 Option 2 : 1/2,1/3 Option 3 : 3,4 Option 4 : 1/3,1/4 Option 5 : None of these
Ques 271 : Choose the correct answer.
If a = 16, b=25, the value of 1/(a1/2 – b1/2) is:
Option 1 : 10 Option 2 : 15 Option 3 : 20 Option 4 : 25 Option 5 : 30
Ques 272 : Choose the correct answer.
3a2 (ab+bc+ca) =
Option 1 : 3a2+3a2bc+3a3c Option 2 : 3a3b+3a2bc+3c Option 3 : 3a3b+3a2bc+3a3c Option 4 : a3b+abc+a2c Option 5 : None of these
Ques 273 : Choose the correct answer.
x4yxy4 =
Option 1 : xy(xy)(x2 + xy + y2) Option 2 : xy(x+y)(x2xy+y4) Option 3 : x(xy1)(x2xy+y) Option 4 : (x3+y2)xy Option 5 : None of these
Ques 274 : Choose the correct answer.
Factors of 6a225a+4 are:
Option 1 : (a+4) (a6) Option 2 : (a4) (6a+1) Option 3 : (a4)(6a1) Option 4 : (a6) (a4) Option 5 : None of these
Ques 275 : Choose the correct answer.
The correct relationship after eliminating x, y and z from x+y = a, y+z=b and z+x = c and x+y+z = m, is:
Option 1 : m=x+y+z Option 2 : 2m=a+b+c Option 3 : m=xyz Option 4 : 2m=xyz Option 5 : None of these
Ques 276 : Choose the correct answer.
If r = at2 and s = 2at, the relation among s, r and a is:
Option 1 : s2=4ar Option 2 : s=ar Option 3 : s=2ar Option 4 : s2=ar Option 5 : None of these
Ques 277 : Choose the correct answer.
If a+b=6, ab=5, the value of ab is:
Option 1 : 4 Option 2 : 5 Option 3 : 6 Option 4 : 7 Option 5 : 9
Ques 278 : Choose the correct answer.
X – 5 + 4 > 0 and X2 < 4. Then x can be:
Option 1 : 4 Option 2 : 2 Option 3 : 0.5 Option 4 : All of these
Ques 279 : Choose the correct answer.
If f(x) = sum of all the digits of x, where x is a natural number, then what is the value of f(101)+f(102)+f(103)+ .. +f(200)?
Option 1 : 1000 Option 2 : 784 Option 3 : 999 Option 4 : 1001
Ques 280 : Choose the correct answer.
Pawan
is
a very confused person. Once he wrote 1+2+3+4+5+6+7+8+9+10 = 100. In
how many places you need to change ‘+’ with ‘ * ‘ to make the equality
hold good ?
Option 1 : 2 Option 2 : 4 Option 3 : 3 Option 4 : None of these
Ques 281 : Choose the correct answer.
What is the highest power of 82 contained in 83!82! ?
Option 1 : 3 Option 2 : 2 Option 3 : 164 Option 4 : None of these
Ques 282 : Choose the correct answer.
If x = 0.75, then what is the value of the expression (1+x+x2) + x3/(1x) ?
Option 1 : 0.25 Option 2 : 4 Option 3 : 1.75 Option 4 : 1
Ques 283 : Choose the correct answer.
If
a
lies between 2 and 3, both included, and b lies between 4 and 6, both
included, then what is the ratio of minimum and maximum limits of a2b2?
Option 1 : 4 Option 2 : 4 Option 3 : 32/7 Option 4 : – 28/6
Ques 284 : Choose the correct answer.
If a, b, c are roots of the equation 1×34×2+6.5x + 3.5 = 0, then what is the value of a2 + b2 + c2?
Option 1 : 1 Option 2 : 64 Option 3 : 169 Option 4 : 3
Ques 285 : Choose the correct answer.
If x + y = 7, then what is the sum of minimum and maximum values of x + y?
Option 1 : 3/2 Option 2 : 7 Option 3 : 7 Option 4 : 0
Ques 286 : Choose the correct answer.
832.58242.31 =779.84 ?
Option 1 : 179.57 Option 2 : 199.57 Option 3 : 295.05 Option 4 : None of these
Ques 287 : Choose the correct answer.
Which is the closest approximation to the product 0.3333 * 0.25 * 0.499 * 0.125 * 24 ?
Option 1 : 1/8 Option 2 : 3/4 Option 3 : 3/8 Option 4 : 2/5
Ques 288 : Choose the correct answer.
The simplification of (0.2 * 0.2 + 0.02 * 0.02 – 0.4 * 0.02) / 0.36
Option 1 : 0.009 Option 2 : 0.09 Option 3 : 0.9 Option 4 : 9
Ques 289 : Choose the correct answer.
If 13 + 23+ 33+ ……….+ 93 = 2025 ,then the value of (0.11)3 + (0.22)3 + ….+ (0.99)3 is close to:
Option 1 : 0.2695 Option 2 : 0.3695 Option 3 : 2.695 Option 4 : 3.695
Ques 290 : Choose the correct answer.
In
a
purse there are 30 coins, twenty onerupee and remaining 50paise
coins. Eleven coins are picked simultaneously at random and are placed
in a box. If a coin is now picked from the box, find the probability of
it being a rupee coin?
Option 1 : 4/7 Option 2 : 1/2 Option 3 : 2/3 Option 4 : 5/6
Ques 291 : Choose the correct answer.
A,
B
and C are three students who attend the same tutorial classes. If the
probability that on a particular day exactly one out of A and B attends
the class is 7/10; exactly one out of B and C attends is 4/10; exactly
one out of C and A attends is 7/10. I
Option 1 : 46/100 Option 2 : 63/100 Option 3 : 74/100 Option 4 : 99/100
Ques 292 : Choose the correct answer.
A
box
contains 10 balls numbered 1 through 10. Anuj, Anisha and Amit pick a
ball each, one after the other, each time replacing the ball. What is
the probability that Anuj picks a ball numbered less than that picked by
Anisha, who in turn picks a lesser n
Option 1 : 3/25 Option 2 : 1/6 Option 3 : 4/25 Option 4 : 81/400
Ques 293 : Choose the correct answer.
A
biased
die has a probability of 1/4 of showing a 5, while the probability of
any of 1, 2, 3, 4, or 6 turning up is the same . If three such dice are
rolled, what is the probability of getting a sum of atleast 14 without
getting a 6 on any die ?
Option 1 : 5/24 Option 2 : 9/160 Option 3 : 1/30 Option 4 : 7/160
Ques 294 : Choose the correct answer.
A,
B,
C, D and E play the following game. Each person picks one card from
cards numbered 1 through 10. The person who picks the greatest numbered
card loses and is out of the game. Now the remaining four return their
cards to the pack and draw again, and
Option 1 : 3/14 Option 2 : 4/17 Option 3 : 1/5 Option 4 : 5/24
Ques 295 : Choose the correct answer.
Which among the following is greatest: 51/2, 111/3, 1231/6 ?
Option 1 : 51/2 Option 2 : 111/3 Option 3 : 1231/6 Option 4 : All are equal
Ques 296 : Choose the correct answer.
What are the unit’s digits of 369, 6864, 4725 respectively ?
Option 1 : 9,6 and 6 Option 2 : 6, 6 and 6 Option 3 : 3,6 and 4 Option 4 : None of these
Ques 297 : Choose the correct answer.
A = 11 * 22 * 33 * 44 * 55 * ……..1010. How many zeroes will be there at the end of A ?
Option 1 : 6 Option 2 : 15 Option 3 : 10 Option 4 : None of these
Ques 298 : Choose the correct answer.
If x = 3 + 31/2, then what is the value of x2 + 9/x2 ?
Option 1 : 15 + 3 * 31/2 Option 2 : 18 + 3 * 31/2 Option 3 : 27 + 3 * 31/2 Option 4 : None of these
Ques 299 : Choose the correct answer.
If x4 + 1/x4 = 47, then find the value of x3 + 1/x3
Option 1 : 18 Option 2 : 27 Option 3 : 9 Option 4 : 12
Ques 300 : Choose the correct answer.
The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
Option 1 : 1 Option 2 : 2 Option 3 : 3 Option 4 : 4
Check Answer: