List of practice Questions

The core of a transformer is laminated to reduce

An aluminium ring B faces an electromagnet A.The current I through A can be altered

The relative permeability is represented by $\mu_r$ and the susceptibility by $\varkappa$ for a magnetic substance. Then for a paramagnetic substance

Which of the following is the main production the photorespiration of $ {{C}_{3}} $ plants?

$x=1,2,3,4,5,6$ give $y=4,8,14,22,32,44$. Find relation $y$ vs $x$.

$a_1=1,\ a_{n+1} = 2a_n + 5$, find $a_{100}$.

If $x>2$ and $y>-1$, which is true?

If $x^3 - ax^2 + bx - a = 0$ has 3 real roots, then

$x$ and $y$ are defined such that $x^2 + y^2 = 0.1$ and $|x-y| = 0.2$. Find $|x| + |y|$.

$N = 1421 \times 1423 \times 1425$. What is the remainder when $N$ is divided by $12$?

There are two positive integers – $x$ and $y$. A function of $x$ and $y$ is defined such that:
$f(0,y) = y + 1$,
$f(x + 1, 0) = f(x, 1)$,
$f(x + 1, y + 1) = f(x, f(x + 1, y))$
What is the value of $f(1, 2)$?

The number 1982 in the decimal system when written in the base 12 is:

$D$ is a recurring decimal of type $0.\ a_1a_2a_1a_2a_1a_2 \dots$ Here $a_1$ and $a_2$ are single digit numbers between $0$ and $9$. This number $D$, when multiplied by which of the following numbers gives a product which is an integer?

Let $S$ be the set of prime numbers greater than or equal to 2 and less than 100. Multiply all elements of $S$. With how many consecutive zeros will the product end?

The integers 34,041 and 32,506 when divided by a three-digit integer $n$ leave the same remainder. What is $n$?

Let $x, y$ and $z$ be distinct integers, that are odd and positive. Which one of the following statements cannot be true?

The expression $N = 55^3 + 17^3 - 72^3$ is exactly divisible by:

The three sides of a triangle have lengths $a, b, c$. If $a^2 + b^2 + c^2 = ab + bc + ca$, then the triangle is:

A circle of radius 1 has 7 sectors $S_1, S_2, \dots, S_7$, adjacent to each other. Total area of all 7 sectors = one eighth of area of circle. The $j$-th sector’s area is twice the $(j-1)$-th sector’s area. Find the angle subtended by $S_1$ at the center.

Rearrange the following sentences to form a coherent paragraph:
1. If caught in the act, they were punished, not for the crime, but for allowing themselves to be caught another lash of the whip.
2. The bellicose Spartans sacrificed all the finer things in life for military expertise.
3. Those fortunate enough to survive babyhood were taken away from their mothers at the age of seven to undergo rigorous military training.
4. This consisted mainly of beatings and deprivations of all kinds like going around barefoot in winter, and worse starvation, so that they would be forced to steal food to survive.
5. Male children were examined at birth by the city council and those deemed too weak to become soldiers were left to die of exposure.

Rearrange the following sentences to form a coherent paragraph:
A. This very insatiability of the photographing eye changes the terms of confinement in the cave, our world.
B. Humankind lingers unregenerately in Plato’s cave, still revelling in its age-old habit in mere images or truth.
C. But being educated by photographs is not like being educated by older images drawn by hand; for one thing, there are a great many more images around claiming our attention.
D. The inventory started in 1839 and since then just about everything has been photographed or so it seems.
E. In teaching us a new visual code, photographs alter and enlarge our notions of what is worth looking at and what we have a right to observe.

Rearrange the following sentences to form a coherent paragraph:
A. To be culturally literate is to possess the basic information needed to thrive in the modern world.
B. Nor is it confined to one social class; quite the contrary.
C. It is by no means confined to “culture” narrowly understood as an acquaintance with the arts.
D. Cultural literacy constitutes the only sure avenue of opportunity for disadvantaged children, the only reliable way of combating the social determinism that now condemns them.
E. The breadth of that information is great, extending over the major domains of human activity from sports to science.

Rearrange the following sentences to form a coherent paragraph:
A. Both parties use capital and labour in the struggle to secure property rights.
B. The thief spends time and money in his attempt to steal (he buys wire cutters) and the legitimate property owners expends resources to prevent the theft (he buys locks).
C. A social cost of theft is that both the thief and the potential victim use resources to gain or maintain control over property.
D. These costs may escalate as a type of technological arms race unfolds.
E. A bank may purchase more and more complicated and sophisticated safes, forcing safecrackers to invest further in safecracking equipment.

Rearrange the following sentences to form a coherent paragraph:
A. The likelihood of an accident is determined by how carefully the motorist drives and how carefully the pedestrian crosses the street.
B. An accident involving a motorist and a pedestrian is such a case.
C. Each must decide how much care to exercise without knowing how careful the other is.
D. The simplest strategic problem arises when two individuals interact with each other, and each must decide what to do without knowing what the other is doing.

Security inks exploit the same principle that causes the vivid and constantly changing colours of a film of oil on water.
A. When two rays of light meet each other after being reflected from these different surfaces, they have each travelled slightly different distances.
B. The key is that the light is bouncing off two surfaces, that of the oil and that of the water layer below it.
C. The distance the two travel determines which wavelengths and hence colours, interfere constructively and look bright.
D. Because light is an electromagnetic wave, the peaks and troughs of each ray then interfere either constructively to appear bright, or destructively, to appear dim.
6. Since the distance the rays travel changes with the angle as you look at the surface, different colours look bright from different viewing angles.