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# Maths Basic Test

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Maths Basic Test

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### Maths Basic Test

1. 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. 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. 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. 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. 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. 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. 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).