MENSURATION-1
1.M and N are points on PQ and PR such that MN||QR and
the ratio of the lengths of QR and MN is n. MR and QN intersect at S. The ratio
of the areas of triangle MNS and triangle PQR is?
(a). 1/n
(b). n/(n+1)2
(c). n-1/n3
(d). n-1/n2(n+1)
TIME AND WORK SET-2
1.A completes 2/3 of a certain job in 6 days. B can complete 1/3 of the same job in 8 days
and C can complete 3/4 of the work in 12 days.
All of them work together for 4 days and then A and C quit. How long will it take for B to complete the remaining work alone?
(a) 3.8 days
(b) 3.33 days
(c) 2.22 days
(d) 4.3 days
2.A, B and C working together completed a job in 10 days. However, C only worked for the first three days when
37/100 of the job was done. Also, the work done by A in 5 days is equal to the work done by B in 4 days. How many days would be required by the fastest worker to
complete the entire work?
(a) 20 days
(b) 25 days
(c) 30 days
(d) 40 days
3.Each of A, B and C need a certain unique time to do a certain work. C needs 1 hour less than A to complete the work. Working together,
they require 30 minutes to complete 50% of the job. The work also gets completed if A and B start working together and A leaves after 1 hour and B works for a further 3 hours. How much work does C do per hour?
(a) 16.66%
(b) 33.33%
(c) 50%
(d) 66.66%
4.Two men and a woman are entrusted with a task. The
second man needs three hours more to cope with the job than the first man and
the woman would need working together. The first man, working alone, would need
as much time as the second man and the woman working together. The first man,
working alone, would spend eight hours less than the double period of time the
second man would spend working alone. How much time would the two men and the
woman need to
complete the task if they all worked together?
(a) 2 hours
(b) 3 hours
(c) 4 hours
(d) 5 hours
5.A tank of 3600 cu m capacity is being filled with
water. The delivery of the pump discharging the tank is 20% more than the
delivery of the pump filling the same tank. As a result, twelve minutes more
time is needed to fill the tank than to discharge it. Determine the delivery of
the pump discharging the tank.
(a) 40 m3/min
(b) 50 m3/min
(c) 60 m3/min
(d) 80 m3/min
TIME AND WORK SET-1
1.Garima and Archana can do a piece of work in 10 days
and Garima alone can do it in 12 days. In how many days can Archana do it
alone?
(a) 60 days
(b) 30 days
(c) 50 days
(d) 45 days
2.If 8 boys and 12 women can do a piece of work in 25
days, in how many days can the work be
done by 6 boys and 11 women working together?
(a) 15 days
(b) 10 days
(c) 12 days
(d) Cannot be determined
3.A can do a piece of work in 20 days. He works at it for 5
days and then B finishes it in 10 more
days. In how many days will A and B together finish the work?
(a) 8 days
(b) 10 days
(c) 12 days
(d) 6 days
4.Subhash can copy 50 pages in 10 hours; Subhash and
Prakash together can copy 300 pages in 40
hours. In how much time can Prakash copy 30 pages?
(a) 13 h
(b) 12 h
(c) 11 h
(d) 9 h
5.Ram can do 1/2 of the work in 8 days while Shyam can do
1/3 of the work in 6 days. How long
will it take for both of them to finish the work?
(a) days
(b) days
(c) days
(d) 8 days
GEOMETRY-7
1.In the figure circle O and Q tangent at T . Chord AB is tangent to circle Q at D, AD =a and BD =b.
The sagitta of arc AB is CM =c. If r is radius of circle Q.
which one is ture-
(A) a.c = 2b.r
(B) a.b = 3b.r
(C) a.b = 2c.r
(D) a.c= 3b.r
The sagitta of arc AB is CM =c. If r is radius of circle Q.
which one is ture-
(A) a.c = 2b.r
(B) a.b = 3b.r
(C) a.b = 2c.r
(D) a.c= 3b.r
SET-1
1. Find the sum of divisors of 544 which are perfect
squares.
(a) 32
(b) 64
(c) 42
(d) 21
2. Find the sum of odd divisors of 544.
(a) 18
(b) 34
(c)
68
(d) 36
3.The 7th and 21st terms of an AP are 6 and –22 respectively. Find the 26th term.
(a) –34
(b) –32
(c) –12
(d) –10
4. The sum of 5 numbers in AP is 30 and the sum of their
squares is 220. Which of the following is
the third term?
(a) 5
(b) 6
(c)
8
(d) 9
5.Four geometric means are inserted between 1/8 and 128.
Find the third geometric mean.
(a) 4
(b) 16
(c)
32
(d) 8
GEOMETRY- 6
1. The figure shows a circle of diameter AB. The chords AC and BD meet at E. EF is perpendicular to AB. FC and BD meet at G. If DE=5cm, EF=3cm and BG=xcm. then find the value of x?
 |
| mathsworld4you |
TIME & DISTANCE SET-1
1. An urgent message had to be delivered from the house of the Peshwas in Pune to Shivaji who was
camping in Bangalore. A horse rider travels on horse back from Pune to Bangalore at a constant
speed. If the horse increased its speed by 6 km/h, it would take the rider 4 hours less to cover that
distance. And travelling with a speed 6 km/h lower than the initial speed, it would ake him 10
hours more than the time he would have taken had he travelled at a speed 6 kmph higher than the
initial speed. Find the distance between Pune and Bangalore.
(a) 120 km
(b) 600 km
(c) 720 km
(d) 750 km
2. A bus left point X for point Y. Two hours later a car left point X for Y and arrived at Y at the same
time as the bus. If the car and the bus left simultaneously from the opposite ends X and Y towards
each other, they would meet 1.33 hours after the start. How much time did it take the bus to travel
from X to Y?
(a) 2 h
(b) 4 h
(c) 6 h
(d) 8 h
3. Karim, a tourist leaves Ellora on a bicycle. Having travelled for 1.5 h at 16 km/h, he makes a stop
for 1.5 h and then pedals on with the same speed. Four hours after Karim started, his friend and
local guide Rahim leaves Ellora on a motorcycle and rides with a speed of 28 km/h in the same
direction as Karim had gone. What distance will they cover before Rahim overtakes Karim?
(a) 88 km
(b) 90.33 km
(c) 93.33 km
(d) 96.66 km
4.A motorcyclist rode the first half of his way at a constant speed. Then he was delayed for 5
minutes and, therefore, to make up for the lost time he increased his speed by 10 km/h. Find the
initial speed of the motorcyclist if the total path covered by him is equal to 50 km.
(a) 36 km/h
(b) 48 km/h
(c) 50 km/h
(d) 62 km/h
5. Two rifles are fired from the same place at a difference of 11 minutes 45 seconds. But a man who
is coming towards the place in a train hears the second sound after 11 minutes. Find the speed of
train.
(a) 72 km/h
(b) 36 km/h
(c) 81 km/h
(d) 108 km/h
camping in Bangalore. A horse rider travels on horse back from Pune to Bangalore at a constant
speed. If the horse increased its speed by 6 km/h, it would take the rider 4 hours less to cover that
distance. And travelling with a speed 6 km/h lower than the initial speed, it would ake him 10
hours more than the time he would have taken had he travelled at a speed 6 kmph higher than the
initial speed. Find the distance between Pune and Bangalore.
(a) 120 km
(b) 600 km
(c) 720 km
(d) 750 km
2. A bus left point X for point Y. Two hours later a car left point X for Y and arrived at Y at the same
time as the bus. If the car and the bus left simultaneously from the opposite ends X and Y towards
each other, they would meet 1.33 hours after the start. How much time did it take the bus to travel
from X to Y?
(a) 2 h
(b) 4 h
(c) 6 h
(d) 8 h
3. Karim, a tourist leaves Ellora on a bicycle. Having travelled for 1.5 h at 16 km/h, he makes a stop
for 1.5 h and then pedals on with the same speed. Four hours after Karim started, his friend and
local guide Rahim leaves Ellora on a motorcycle and rides with a speed of 28 km/h in the same
direction as Karim had gone. What distance will they cover before Rahim overtakes Karim?
(a) 88 km
(b) 90.33 km
(c) 93.33 km
(d) 96.66 km
4.A motorcyclist rode the first half of his way at a constant speed. Then he was delayed for 5
minutes and, therefore, to make up for the lost time he increased his speed by 10 km/h. Find the
initial speed of the motorcyclist if the total path covered by him is equal to 50 km.
(a) 36 km/h
(b) 48 km/h
(c) 50 km/h
(d) 62 km/h
5. Two rifles are fired from the same place at a difference of 11 minutes 45 seconds. But a man who
is coming towards the place in a train hears the second sound after 11 minutes. Find the speed of
train.
(a) 72 km/h
(b) 36 km/h
(c) 81 km/h
(d) 108 km/h
GEOMETRY-5
1. The figure shows that AB, BC, CD, and AD are diameters of circles
line EFG are is tangents. If EF=9cm, FG=1cm. Find the area of red region?
line EFG are is tangents. If EF=9cm, FG=1cm. Find the area of red region?
GEOMETRY-4
1. The drawing shows a triangle PQR with the angle bisector PS. The angle Q is double the angle R
QS=3cm, PR=9cm and PR=xcm. Find the value of x?
QS=3cm, PR=9cm and PR=xcm. Find the value of x?
 |
| mathsworld4you |
GEOMETRY-3
1. The figure below shows a square PQRS. O is a point on the semicircle of diameter SR so that angle OPQ = angle PSO + 45 degrees. If SO = 3 cm, PO=x cm find the value of x?
 |
| mathsworld4you |
ALLIGATIONS PRACTICE SET-1
1. 400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off
in the examination. If the total percentage of students qualifying is 65%, how many girls appeared
in the examination?
(a) 100
(b) 120
(c) 150
(d) 300
2. A man purchased a cow and a calf for ` 1300. He sold the calf at a profit of 20% and the cow at a
profit of 25%. In this way, his total profit was 23 %. Find the cost price of the cow.
(a) 1100
(b) 600
(c) 500
(d) 800
3. A mixture of 70 litres of alcohol and water contains 10% of water. How much water must be
added to the above mixture to make the water 12.5% of the resulting mixture?
(a) 1 litre
(b) 1.5 litre
(c) 2 litre
(d) 2.5 litre
4. A merchant purchased two qualities of pulses at the rate of ` 200 per quintal and ` 260 per quintal.
In 52 quintals of the second quality, how much pulse of the first quality should be mixed so that by
selling the resulting mixture at ` 300 per quintal, he gains a profit of 25%?
(a) 100 quintal
(b) 104 quintals
(c) 26 quintals
(d) None of these
5.Two containers of equal capacity are full of a mixture of oil and water. In the first, the ratio of oil
to water is 4 : 7 and in the second it is 7 : 11. Now both the mixtures are mixed in a bigger
container. What is the resulting ratio of oil to water?
(a) 149 : 247
(b) 247 : 149
(c) 143 : 241
(d) 241 : 143
Answer key: 1. (a) 2.(d) 3.(d) 4.(d) 5. (a)
in the examination. If the total percentage of students qualifying is 65%, how many girls appeared
in the examination?
(a) 100
(b) 120
(c) 150
(d) 300
2. A man purchased a cow and a calf for ` 1300. He sold the calf at a profit of 20% and the cow at a
profit of 25%. In this way, his total profit was 23 %. Find the cost price of the cow.
(a) 1100
(b) 600
(c) 500
(d) 800
3. A mixture of 70 litres of alcohol and water contains 10% of water. How much water must be
added to the above mixture to make the water 12.5% of the resulting mixture?
(a) 1 litre
(b) 1.5 litre
(c) 2 litre
(d) 2.5 litre
4. A merchant purchased two qualities of pulses at the rate of ` 200 per quintal and ` 260 per quintal.
In 52 quintals of the second quality, how much pulse of the first quality should be mixed so that by
selling the resulting mixture at ` 300 per quintal, he gains a profit of 25%?
(a) 100 quintal
(b) 104 quintals
(c) 26 quintals
(d) None of these
5.Two containers of equal capacity are full of a mixture of oil and water. In the first, the ratio of oil
to water is 4 : 7 and in the second it is 7 : 11. Now both the mixtures are mixed in a bigger
container. What is the resulting ratio of oil to water?
(a) 149 : 247
(b) 247 : 149
(c) 143 : 241
(d) 241 : 143
Answer key: 1. (a) 2.(d) 3.(d) 4.(d) 5. (a)
Subscribe to:
Posts (Atom)