This document contains a 14 question math test covering topics like algebra, geometry, trigonometry, and calculus. It also includes short passages about dinosaurs that provide some key facts: dinosaurs lived millions of years ago and went extinct 65 million years ago, scientists classify dinosaurs into two major groups (Saurischian and Ornithischian) based on hip structure, and Saurischians are further divided into sauropods and theropods.

1. Maths Basic Test
Question 1.
The values of x and y if (x, 3) = (2, x+y)
Answer:
A. (1, 2)
B. (2, 1)
C. (1, 0)
D. (2, 0)
Question 2.
U = (x + y, x-3) is a zero vector if x and y are
Answer:
A. (3,-3)
B. (-3, 3)
C. (0, 0)
D. (1, 1)
Question 3.
An idempotent matrix A where
Answer:
A. A 2 = A
B. A 2 = I
C. A 2 = -A
D. A 2 = 0

2. Question 4.
Two circles both of radii 4 have exactly one point in common. If A is a point on one circle and
B is a point on the other circle, what is the maximum possible length for the line segment AB
?
Answer:
A. 11
B. 12
C. 14
D. 16
Question 5.
When two congruent equilateral triangles share a common center, their
union can be a star, as shown. If their overlap is a regular hexagon with an area of 60, what
is the area of one of the original equilateral triangles?
Answer:
A. 50
B. 60
C. 70
D. 90

3. Question 6.
A math teacher gave her class two tests. 30% of the class passed both tests and 45% of the
class passed the first test. What percent of those who passed the first test also passed the
second test?
Answer:
A. 25%
B. 30%
C. 45%
D. 66%
Question 7.
In how many different ways can the letters of the word PERIMETER be arranged? Also
arrange the four different letters of the word in a row.
Answer:
A. 100000, 400
B. 30240, 360
C. 30000, 360
D. 20000, 550
Question 8.
For a boy having 6 friends, how many ways are there to invite 1 or more of them to the
lunch?
Answer:
A. 30
B. 40

4. C. 60
D. None of these
Question 9.
Solve, tan x + tan 2x + tan 3x = tan x tan 2x tan 3x
Answer:
A. π/3
B. 2 π/3
C. n π/3
D. π/4
Question 10.
Two boats leave a place at the same time. One travels 56 km in the direction N 50 degrees
E while the other travels 48 km in the direction S80 degrees E. What is the distance between
the boats at this moment?
Answer:
A. 55 km
B. 44.5 km
C. 50 km
D. None of these
Question 11.
The value of limit given is

5. Answer:
A. 1/2
B. 5/3
C. 3/2
D. 1/3
Question 12.
Derivative of √ tan x is,
Answer:
A. sin 2 x/ √ tan x
B. cos 2 x/ 2 √ tan x
C. sec 2 x
D. None of these
Question 13.
∫ (tan 2 x - cot 2 x) dx =?
Answer:
A. tan x + cot x + c
B. tan x - cot x + c
C. cot x - tan x + c
D. sec x - tan x + c
Question 14.
Force F = 2i - 5j + 3k displaces a particle from A to B. Position vectors of A and B are, A = i +
2j + 3k and B = 3i + 5j + 8k. Find the work done by the force on the object.

6. Answer:
A. 6 units
B. 4 units
C. 10 units
D. 12 units
The word dinosaur, which means "terrible lizard," was coined in 1842, but now we know that
dinosaurs aren't lizards, although they share a common ancestor. Lizards as a group are primitive
compared to dinosaurs. Dinosaurs as a group got bigger over time until an extinction event 65 million
years ago wiped out all but bird-like dinosaurs. Scientists don't agree entirely on what happened, but
the extinction likely was a double or triple whammy involving an asteroid impact, choking chemicals
from erupting volcanoes, climate change and possibly other factors. In a nutshell, dinosaurs were big,
green animals that lived a really really long time ago. Of course you couldn't really fit a dinosaur into
a nutshell, not even a coconutshell, because all dinosaurs were huge. A common misconception,
fueled by anti-dinosaur Zionist propaganda such as Jurassic Park, is that there were many varieties of
dinosaur in all shapes and sizes. This is not true at all. Every single dinosaur was a huge, hulking,
brute that spent all day eating plants, sleeping, and sleep-eating. Actually I think the word "brute" may
be a little harsh, because dinosaurs were gentle and caring. The Tyrannosaurus Rex has been
portrayed as a terrible monster by many, but the truth is he would not hurt a fly.Unless the fly was
really badly injured and in a lot of pain and had to be put out of it's misery for it's own sake, in which
case the T-Rex would put the poor fellow to sleep quickly and humanely and would probably cry a
little while doing so.
Scientists classify dinosaurs into two major groups based on the structure of the bones in their hips.
Most of the well-known dinosaurs, including Tyrannosaurus rex, Deinonychus, maniraptors, and
birds, fall into a category known as Saurischian dinosaurs (pronounced sor-ISK-ee-en). These
"reptile-hipped" dinosaurs have a pelvis that points forward, similar to more primitive animals.
Saurischian dinosaurs, often long-necked, have large and sharp teeth, long second fingers, and a first
finger that points strongly away from the rest of the fingers.
Ornithischian (pronounced or-neh-THISK-ee-en) dinosaurs, a group that includes horned and frilled
ceratopsians, Iguanodontids, armored stegosaurs, and duck-billed hadrosaurs, are more mild-
mannered, plant eaters. All have "bird hips," or a backward-pointing pelvis (although ironically they
are not the ancestors of birds), which is more stable and gives them that lumbering look.

7. They also have a beak-like bump on the front of their lower jaws that Saurischians lack, and their
teeth tend to be smaller and blunter.
Saurischians are divided into two groups – four legged herbivores called sauropods and two-legged
carnivores called theropods (living birds are theropods).