Mathematics Test: CAT, MAT preparation

A pole stands vertically inside a triangular park triangle ABC. If the angle of elevation of the top of the pole from each corner of the park is same, then in triangle ABC the foot of the pole is at the:
Circumcentre
Centroid
Incentre
Orthocenter
The slope of a function y=x3+kx at x=2 is equal to the area under the curve z=a2+a between points a=0 and a=3. then the value of k is:
5.5
4.5
6.5
Cannot be determined
In a triangle ABC, the lengths of the sides AB, AC and BC are 3, 5 and 6 cm respectively. If a point D on BC is drawn such that the line AD bisects the angle A internally, then what is the length of BD?
2 cm
2.25 cm
2.5 cm
3 cm
The number of tangents that can be drawn to two non-intersecting circles is:
4
3
2
1
If the sides of a right triangle are x,x+1 and x-1, then the hypotenuse is:
5
4
1
0
A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m, then the altitude of the triangle is:
100 m
200 m
If one of the diagonals of a rhombus is equal to its side, then the diagonals of the rhombus are in the ratio:
3:1
2:1
A rhombus OABC is drawn inside a circle whose centre is at O in such a way that the vertices A,B and C of the rhombus are on the circle. If the area of the rhombus is 32 m2, then the radius of the circle is:
64 m
8 m
32 m
46 m
The area of rhombus is 2016 cm2 and its side is 65 cm. The lengths of the diagonals (in cm) respectively are:
125,35
126,32
132,26
135,25
If P and Q are the mid-points of the sides CA and CB respectively of a triangle ABC, right angled at C. then the value of 4(AQ2+BP2) is equal to:
4 BC2
5 AB2
2 AC2
2 BC2
In a quadrilateral ABCD, angel=90o and AD2=AB2+BC2+CD2, then angel ACD is equal to:
90o
60o
30o
None of these
Let ABC be an acute-angled triangle and CD be the altitude through C. if AB=8 and CD=6, then the distance between the mid-points of AD and BC is:
36
25
27
5
The circumcentre of a triangle is always the point the intersection of the :
Medians
Bisectors
Perpendiculars
Perpendiculars dropped from the vertices on the opposite sides of the triangle
Two isosceles triangles have equal vertical angles and their areas are in the ratio 9:16, the ratio of their corresponding heights is:
3:4
4:3
2:1
1:2
The Qutab Minar casts a shadow 150 m long at the same time when the vikas minar casts a shadow of 120 m long on the ground. If the height of the vikas minar is 80 m, then the height of the qutab minar is:
180 m
100 m
150 m
120 m
The perimeters of two similar triangle ABC and PQR are 36 cm and 24 cm respectively. If PQ=10 cm, then the length of AB is:
16 cm
12 cm
14 cm
15 cm
The equation of the line through the point of intersection of 3x-y-1=0 and x-3y+5=0, passing through the point (1,5) is:
2x-y+5=0
2x+y+5=0
X+y=0
X=1
The sum of the interior angles of a polygon is 1620o. the number of sides of the polygon are:
9
11
15
12
How many sides a regular polygon has with its interior angle eight times its exterior angle?
16
24
18
20
In a triangle ABC, angle A=90º and D is mid point of AC. The value of BC2-BD2 is equal to:
AD2
2AD2
3AD2
4AD2
A photograph measures 10 cm by 6 cm. It is to be enlarged so that the longer dimension becomes 15 cm. The length of the enlarged shorter dimension will be:
7 cm
8 cm
9 cm
12 cm
If a parallelogram with area P, a rectangle with are R and a triangle with area T are all constructed on the same base and all have the same altitude, then a false statement is:
P=2T
P=R
None of these
Two non-intersecting circles, one lying inside another, are of diameters a and b. the minimum distance between their circumferences is c. the distance between their centres is:
a-b-c
a+b-c
The lengths of three sides of a triangle are known. In which of the cases given below, it is impossible to construct a triangle?
15 cm, 12cm, 10cm
3.6 cm, 4.3cm, 5.7cm
17cm, 12cm, 6 cm
2.3cm, 4.4 cm, 6.8 cm
Any cyclic parallelogram having unequal adjacent sides is necessarily a:
Square
Rectangle
Rhombus
Trapezium
The locus of a point equidistant from the two fixed points is:
Any straight line bisecting the segment joining the fixed points
Any straight line perpendicular to the segment joining the fixed points
The straight line which is perpendicular bisector of the segment joining the fixed points.
Any straight line perpendicular to the line joining the fixed points
If an angle is its own complementary angle, then its measure is:
30
45
60
90
If two parallel lines are cut by two distinct transversals, then the quadrilateral formed by these four lines will always be a:
Parallelogram
Rhombus
Square
Trapezium
The sides of a triangle measure 4 cm, 3.4 cm and 2.2 cm. Three circles are drawn with centres at AB.and C in such a way that each circle touches the other two. Then the diameters of these circles would measure (in cm):
1.11,1.7, 5.0
1.6, 2.8, 5.2
1.5, 2.9, 5.2
1.6, 3.0, 5.0
A postman walks towards the north a distance of 120 m to deliver a letter. He then goes towards the east for a distance of 50 m for delivering another letter. The shortest distance between the two places is:
70 m
120 m
130 m
170 m
In a circle of radius 17 cm, two parallel chords are drawn on opposite sides of a diameter. The distance between the chords is 23 cm. If length of one chord is 16 cm, then the length of the other is:
15 cm
23 cm
30 cm
34 cm
If the angles of a triangle are in the ratio 5:3:2, then the triangle could be:
Obtuse
Acute
Right
Isosceles
In a class, the averages score of girls in an examination is 73 and that of boys is 71. The average score for the whole class is 71.8. find the ratio of the number of boys to the number of girls that appeared in the examination :
4 : 5
3 : 2
3 : 5
5 : 2
Without any stoppage a person travels a certain distance at an average speed of 42 km/hr, and with stoppages he covers the same distance at an average speed of 28km/hr. how many minutes per hour does he stops?
14 minutes
15 minutes
28 minutes
20 minutes
Two series of a question booklet for an aptitude test are to be given to twelve students. In how many ways can the students be placed in two rooms of six each so that there should be no identical series side by side and that the students sitting one behind the other should have the same series?
6! X 6!
2 X 12C6 X (6!)2
7! X 7!
None of these
A and B throw a coin alternatively till one of them gets a head and wins the game. If a starts the game, find the probability of wining by A :
2/3
1/3
1
None of these
The aircraft gun can take a maximum of four shots at an enemy plane moving away from it. The probability of hitting the plane at the first, second, third and fourth shots are 0.4, 0.3, 0.2 and 0.1 respectively. What is the probability that the plane is hit when all the four shots are fired?
0.6872
0.4379
0.6976
None of these
The probability of raining on day 1 is 0.2 and on the day 2 is 0.3. What is the probability of raining on both the days ?
0.2
0.1
0.06
0.25
Two series of a question booklet for an aptitude test are to be given to twelve students. In how many ways can the students be placed in two rooms of six each so that there should be no identical series side by side and that the students sitting one behind the other should have the same series ?
2 X 12C6 X (6!)2
6! X 6!
7! X 7!
None of these
The average of 10 numbers is 40.2. later it is found that two numbers have been wrongly added. The first is 18 greater than the actual number and the second number added is 13 instead of 31. Find the correct average ?
40.2
40.4
40.6
40.8
In his wardrobe, timothy has 3 trousers. One of them is black, the second blue, and the third is brown. In his wardrobe, he also has 4 shirts. One of them is black and the three other is white. He opens his wardrobe in the dark and picks out one shirt trouser pair without examining the colour. What is the likelihood that neither the shirt nor the trouser is black ?
1/12
1/6
¼
½
A class photograph has to be taken. The front row consists of 6 girls who are sitting. 20 boys are standing behind. The two corner positions are reserved for the 2 tallest boys. In how many ways can the students be arranged ?
18! X 1440
6! X 1440
18! X 2! X 1440
None of these
Badri has 9 pairs of dark blue socks and 9 pairs of black socks. He keeps them all in the same bag. If he picks out three socks at random, then what is the probability that he will get a matching pair?
(2 9C 2 9C1) / 18C3
(9C3 9C1)/ 18 C3
1
None of these
A box contains 6 white balls and 7 black balls. Two balls are drawn at random. What is the probability that both are of same colour?
5/13
6/13
7/13
6/7
The average temperature for the first ten days in a week is 40.2° C and that of the last ten days is 41.3°C. If the average temperature for the whole week is 40.6°C, then the temperature on the forth day is :
40.8°C
38.5°C
41.3°C
41.8°C
The letters B, G, I, N and R are rearranged to form the word ‘bring’. Find its probability
1/120
1/54
1/24
5/5 x 42
In how many ways can twelve girls be arranged in a row if two particular girls must occupy the end places?
10!/ 2!
12!
10! X 2!
12! / 2!
In how many ways can a selection of 5 letters be made out of 5 A’s, 4B’s, 3 C’s, 2D’s and 1 E’s /
70
71
15C5
15P5
A brother and sister appear for an interview against two vacant posts in an office. The probability of the brother’s selection is 1/5 and that of the sister’s selection is 1/3. What is the probability that one of them is selected?
1/5
2/5
1/3
2/3
The average salary of all the workers in a workshop is Rs.8000. the average salary of 7 technicians is Rs.12,000. and the average salary of the rest is Rs.6000. The total number of workers in the workshop is :
21
20
23
22
Description:

This test focuses on the Geometry and Permutation and Combination portion of Mathematics.

Discussion

Rohit Rathee

a park in shape of scalene triangle having pole inside it. angle of elevation of its top from all the three points of the park is equal. then where is the pole located. at centroid or incentre or circumcenter or orthocenter

1984 days 5 hours 7 minutes ago

Dev

let ABC be an acute angled triangle and CD be the altitude through C.If AB=8 & CD=6 then find the distance between the midpoints of AD & BC

2620 days 16 hours 47 minutes ago

sr

england 1-4 germany

4230 days 6 hours 25 minutes ago

shubham

8459y498fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuucccccccccccccccccccccccccccccccccccccccccccccccdddddddddddddddddddddddddddddddddddddddddddkkkkkkkkkkkkkkkkkkkkkkk!!!!!

4240 days 5 hours 21 minutes ago

shubham

what the hell !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!111

4240 days 5 hours 21 minutes ago

Suhas

Qsn 5 wrong answer

4339 days 15 hours 21 minutes ago

Kalyan Sarkar
Psychological interventions in Mathematics Study
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