Angle of elevation of the top of the tower from 3
points (collinear) A, B and C on a road leading to the
foot of the tower are 30°, 45° and 60°, respectively.
The ratio of AB and BC is
A set of consecutive positive integers beginning with
1 is written on the blackboard. A student came along
and erased one number. The average of the remaining
numbers is $35\frac{7}{15}$. What was the number erased?
Four friends A, B, C and D need to cross a bridge in
the night. A maximum of 2 people can cross at a
time. They have only one lamp. A takes one minute
to cross the bridge. B takes 2 minutes, C takes 8
minutes and D takes 11 minutes to cross the bridge
respectively. A pair must walk together at the speed
of the person who walks slowly. What is the
minimum time required to cross the bridge by all the four people?
In a city, 40.1% of the adults are illiterate while
85.1% of the children are literate. If the ratio of the
adults to that of the children is 2:3, then what percent
of the population is literate?
A runs $1 \frac{2}{3}$ times as fast as B. If A gives B a start of
80m, how far must the winning post be so that A and
B might reach it at the same time?
A person’s present age is two fifth of the age of his
mother. After 8 years, he will be one-half of the age
of his mother. What is the present age of his mother?
Mr. Kumar drives to work at an average speed of 48
Km/hr. The time taken to cover the first 60% of the
distance is 10 minutes more than the time taken to
cover the remaining distance. How far is his office?
Two pipes A and B can fill the cistern in 37.5
minutes and 45 minutes respectively. Both pipes are
opened. The cistern will be filled in just half an hour,
if the B is turned off after
Eight friends A through H, are sitting around a
circular table, playing a game of cards. They belong
to two different teams X and Y. No two persons of
the same team sit in adjacent seats.
A sits neither opposite to D nor to H but is
sitting in between C and G.
B sits neither opposite to A nor to G but is
sitting in between F and D
B and H belong to team X and D sits opposite
to E.
Eight friends A through H, are sitting around a
circular table, playing a game of cards. They belong
to two different teams X and Y. No two persons of
the same team sit in adjacent seats.
A sits neither opposite to D nor to H but is
sitting in between C and G.
B sits neither opposite to A nor to G but is
sitting in between F and D
B and H belong to team X and D sits opposite
to E.
Four students A, B, C and D distributed 30 marbles
among themselves. No two students got equal
number of marbles. No student got more than 10
marbles. No student got less than 5 marbles. A and C
got odd number of marbles. B and D got even
number of marbles. A got more marbles than B, C
got more marbles than D, B got more marbles than
D.
Four students A, B, C and D distributed 30 marbles
among themselves. No two students got equal
number of marbles. No student got more than 10
marbles. No student got less than 5 marbles. A and C
got odd number of marbles. B and D got even
number of marbles. A got more marbles than B, C
got more marbles than D, B got more marbles than
D.
Nine individuals - Z, Y, X, W, V, U, T, S and R - are
the only candidates, who can serve on three
committees — K1, K2 and K3, and each candidate
should serve on exactly one of the committees.
Committee K1 should consist of exactly one member
more than committee K2. It is possible that there are
no members in committee K3. Among Z, Y and X
none can serve on committee K1. Among W, V and
U none can serve on committee K2. Among T, S and R none can serve on committee K3.
In case committee K2 is served by T and Z only, how
many of the nine individuals should serve on
committee K3?
Nine individuals - Z, Y, X, W, V, U, T, S and R - are
the only candidates, who can serve on three
committees — K1, K2 and K3, and each candidate
should serve on exactly one of the committees.
Committee K1 should consist of exactly one member
more than committee K2. It is possible that there are
no members in committee K3. Among Z, Y and X
none can serve on committee K1. Among W, V and
U none can serve on committee K2. Among T, S and R none can serve on committee K3.
Of the nine individuals, the largest number that can
serve together on committee K3 is:
It was 9.35 AM in Garvita’s watch, which kept
correct time, when Manya informed her that the last
bus left the bus stop at 9.25 am. Manya’s watch is 5
min fast. The frequency of the bus is every 20 min.
For how long Garvita must wait to catch the next
bus?
Rishabh stops after going 10 Km towards west from
his office. Then he goes 8 Km turning to his left.
After this he goes 4 Km turning to his left. How far is
he from the fixed point?
Sum of ages of Anu and Bhanu is 10 years more than the sum of ages of Bhanu, Chanu, and Dhanu. The average age of Chanu and Dhanu is 19 years. Find the average age of Anu and Dhanu if Dhanu is 10 years
elder than Chanu.
In a competitive examination in Maharashtra state
9% candidates got selected from the total appeared
candidates. Tripura state had an equal number of
candidates appeared and 12% candidates got selected
with 102 more candidates got selected than
Maharashtra state. What was the number of
candidates appeared from each state?
Shiva gave 40% of his monthly salary to his mother
from the remaining he used 7% for electronic gadgets
and 23% he kept aside for his monthly expenses. The
remaining amount he transferred to his friend’s
account. The sum of the amount he gave to his
mother and he transferred to his friend account was
41000. What was Shiva’s monthly salary?
In an examination, 78% of the total students who
appeared were successful. If the total number of
failures was 176 and 34% got first class, then how
many students got first class?
If a man walks at the rate of 4 km/hr, he misses a
train by only 6 minutes. However, if he walks at the
rate of 5 km/hr, he reaches the station 6 minutes
before the arrival of the train. The distance covered
by him to reach the station is:
Read the following information carefully and answer
the questions given below:
i. Five friends Amar, Kapil, Sarvesh, Rohan and
Nagesh put on five shirts of different colours,
i.e., Red, Yellow, Blue, White, and Green, while
they were going to attend a party. These colours
are not in the order.
ii. They have different hobbies as reading,
playing, outing, singing and writing.
iii. Kapil, who likes singing, does not wear
Yellow shirt. Sarvesh wears Red shirt and he
does not like reading or writing. Nagesh likes
playing and he does not wear Blue or Yellow
shirt. Amar likes writing and Rohan does not
wear Yellow or Green shirt.
Read the following information carefully and answer
the questions given below:
i. Five friends Amar, Kapil, Sarvesh, Rohan and
Nagesh put on five shirts of different colours,
i.e., Red, Yellow, Blue, White, and Green, while
they were going to attend a party. These colours
are not in the order.
ii. They have different hobbies as reading,
playing, outing, singing and writing.
iii. Kapil, who likes singing, does not wear
Yellow shirt. Sarvesh wears Red shirt and he
does not like reading or writing. Nagesh likes
playing and he does not wear Blue or Yellow
shirt. Amar likes writing and Rohan does not
wear Yellow or Green shirt.
Read the following passage and answer the
questions:
A Lichen is a composite organism that arises from
algae living among filaments of multiple fungi in a
symbiotic relationship. The combined lichen has
properties different from those of its component
organisms. Lichens come in many colours, sizes,
and forms. The properties are sometimes plant like,
but lichens are not plants. Lichens may have tiny
leafless branches, flat leaflike structures or flakes
that lie on the surface like peeling paint or other
growth forms.
Lichens occur from sea level to high alpine
elevations, in many environmental conditions and
can grow on almost any surface. Different kinds of
lichens have adopted to survive in some of the most
extreme environment on earth such as Arctic,
Tundra, hot dry deserts, rocky coasts, and toxic
slag heaps. They can even live inside solid rocks,
growing between the grains.
It is estimated that 6% of the earth’s land
surface is covered by lichens. Some of them are
considered to be the oldest living things. They are
among the first living things to grow on fresh rock
exposed after an event such as a land slide. The
long-life span and slow but regular growth rate of
some lichens can be used to date events.
The passage states all the following
about Lichens EXCEPT
Read the following passage and answer the
questions:
A Lichen is a composite organism that arises from
algae living among filaments of multiple fungi in a
symbiotic relationship. The combined lichen has
properties different from those of its component
organisms. Lichens come in many colours, sizes,
and forms. The properties are sometimes plant like,
but lichens are not plants. Lichens may have tiny
leafless branches, flat leaflike structures or flakes
that lie on the surface like peeling paint or other
growth forms.
Lichens occur from sea level to high alpine
elevations, in many environmental conditions and
can grow on almost any surface. Different kinds of
lichens have adopted to survive in some of the most
extreme environment on earth such as Arctic,
Tundra, hot dry deserts, rocky coasts, and toxic
slag heaps. They can even live inside solid rocks,
growing between the grains.
It is estimated that 6% of the earth’s land
surface is covered by lichens. Some of them are
considered to be the oldest living things. They are
among the first living things to grow on fresh rock
exposed after an event such as a land slide. The
long-life span and slow but regular growth rate of
some lichens can be used to date events.
Read the following passage and answer the
questions:
A Lichen is a composite organism that arises from
algae living among filaments of multiple fungi in a
symbiotic relationship. The combined lichen has
properties different from those of its component
organisms. Lichens come in many colours, sizes,
and forms. The properties are sometimes plant like,
but lichens are not plants. Lichens may have tiny
leafless branches, flat leaflike structures or flakes
that lie on the surface like peeling paint or other
growth forms.
Lichens occur from sea level to high alpine
elevations, in many environmental conditions and
can grow on almost any surface. Different kinds of
lichens have adopted to survive in some of the most
extreme environment on earth such as Arctic,
Tundra, hot dry deserts, rocky coasts, and toxic
slag heaps. They can even live inside solid rocks,
growing between the grains.
It is estimated that 6% of the earth’s land
surface is covered by lichens. Some of them are
considered to be the oldest living things. They are
among the first living things to grow on fresh rock
exposed after an event such as a land slide. The
long-life span and slow but regular growth rate of
some lichens can be used to date events.
Choose the one which best expresses the
meaning of the word FLAKES:
Read the following passage and answer the
questions:
A Lichen is a composite organism that arises from
algae living among filaments of multiple fungi in a
symbiotic relationship. The combined lichen has
properties different from those of its component
organisms. Lichens come in many colours, sizes,
and forms. The properties are sometimes plant like,
but lichens are not plants. Lichens may have tiny
leafless branches, flat leaflike structures or flakes
that lie on the surface like peeling paint or other
growth forms.
Lichens occur from sea level to high alpine
elevations, in many environmental conditions and
can grow on almost any surface. Different kinds of
lichens have adopted to survive in some of the most
extreme environment on earth such as Arctic,
Tundra, hot dry deserts, rocky coasts, and toxic
slag heaps. They can even live inside solid rocks,
growing between the grains.
It is estimated that 6% of the earth’s land
surface is covered by lichens. Some of them are
considered to be the oldest living things. They are
among the first living things to grow on fresh rock
exposed after an event such as a land slide. The
long-life span and slow but regular growth rate of
some lichens can be used to date events.
Identify the one word opposite to SPAN
in meaning:
In a class of 50 students, it was found that 30
students read "Hitava", 35 students read "Hindustan" and 10 read neither. How many
students read both: "Hitavad" and "Hindustan" newspapers?
There is a young boy’s birthday party in which 3
friends have attended. The mother has arranged 10
games where a prize is awarded for a winning game.
The prizes are identical. If each of the 4 children
receives at least one prize, then how many
distributions of prizes are possible?
Three cities A, B, C are equidistant from each other.
A motorist travels from A to B at 30km/hour, from B
to C at 40km/hour, and from C to A at 50km/hour.
Then the average speed is
A problem in Mathematics is given to 3 students A, B, and C. If the probability of A solving the problem is 1/2
and B not solving it is 1/4
. The whole probability of the problem being solved is 63/64
, then what is the probability of solving it by C?
A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both win a prize. The probability that they will not win a prize in a single trial is
An arithmetic progression has 3 as its first term.
Also, the sum of the first 8 terms is twice the sum of
the first 5 terms. Then what is the common
difference?
Two forces F1 and F2 are used to pull a car, which met an accident. The angle between the two forces is θ . Find the values of θ for which the resultant force
is equal to
Forces of magnitude 5, 3, 1 units act in the directions
6i + 2j + 3k, 3i - 2j + 6k, 2i - 3j - 6k respectively on a particle which is displaced from the
point (2, −1, −3) to (5, −1, 1). The total work done by the force is
If a, b, c are three non-zero vectors with no two of
which are collinear, a + 2b is collinear with c and b + 3c is collinear with a , then | a + 2b + 6c | will
be equal to
Commented Feb 06 , 2021
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