List of practice Questions

Sumeet spends 10% of his salary on his child’s education, 20% of the remainder on rent and 25% of the balance on garments. Finally, he is left with $ 5,400. What is his salary?

Directions: Choose the word or pair of words that best completes the relationship to the given pair:
allusion: reference:: ________:_________

Directions: Choose the set of prepositions whose meaning and sequence best fits the 3 given sentences.
1. After the burglary, the office bought a sophisticated security system as an insurance ________any such losses.
2. She put ________ a brave front at the end of the meeting.
3. Sunil decided to avail himself _________the opportunity to go to Australia for training.
(A) on
(B) of
(C) at
(D) against
(E) up
(F) with

Directions: In the given question, the sentence has four underlined words or phrases. Identify the one underlined work or phrase that must be changed in order to make the sentence correct. Mark E for no error.
Though they were written almost a year after they separated, Salim and Javed’s stories were published on the same day.

Directions: Rearrange the jumbled sentences to show the appropriate sequence.
(A) For example, when the early homo sapiens left their homes in search for food, they would risk death and injury from dangerous animals.
(B) Throughout human history, the universe has presented an innumerable amount of dangers to explorers.
(C) Today, many adventure enthusiasts seek to find the thrills and adrenaline rush which their ancestors had experienced in the wild.
(D) The tradition of humans going out to experience the dangers of unknown nature still exists.

The number of solutions of |cos x| = sinx, such that –4π ≤ x ≤ 4π is :

Let the relation R is defined in N by $a \mathbb{R} b$, if $3a+2b = 27$ , then R is

The total number of 5-digit numbers, formed by using the digits 1, 2, 3, 5, 6, 7 without repetition, which are multiple of 6, is

Which of the following is not an irrational number?

The correct order of melting point is

Two identical thin biconvex lenses of focal length 15 cm and refractive index 1.5 are in contact with each other. The space between the lenses is filled with a liquid of refractive index 1.25. The focal length of the combination is ___ cm.

The figure shows different paths for going from A to B. The directions of the paths are indicated by arrows. No node can be visited twice. What is the total number of different paths to go from A to B?

Class XII students were asked to prepare one litre of buffer solution of pH $8.26$ by their Chemistry teacher. The amount of ammonium chloride to be dissolved by the student in $0.2$ M ammonia solution to make one litre of the buffer is (Given : $pK_b$ $(NH_3)$ = $4.74$, Molar mass of $NH_3$ = $17$ g $mol^{–1}$, Molar mass of $NH_4Cl$ = $53.5$ $g$ $mol^{–1}$)

A body of mass 8 kg and another of mass 2 kg are moving with equal kinetic energy. The ratio of their respective momenta will be

Identify the compound that undergoes SN1 mechanism most fastly

The complexes [Co(NH₃)₅NO₂]Cl₂ and [Co(NH₃)₅ONO]Cl₂ are

If the sum of all the roots of the equation $e^{2x} - 11e^x - 45e^{-x} + \frac{81}{2} = 0$
is log_eP, then p is equal to _____.

A ball of mass 100 g is dropped from a height h =10 cm on a platform fixed at the top of a vertical spring (as shown in figure). The ball stays on the platform and the platform is depressed by a distance $\frac{ℎ}{2}$.The spring constant is ______ Nm^–1. (Use g = 10 ms^-2)

In the arrangement shown in figure a₁, a₂, a₃ and a₄ are the accelerations of masses m₁, m₂, m₃ and m₄ respectively. Which of the following relation is true for this arrangement

Perform the following steps:
Step 1: Start with x=1, y=2
Step 2: Replace x by x multiplied by y
Step 3: Replace y by y+1
Step 4: If y=5, then go to Step 6, otherwise go to Step 5
Step 5: Go to Step 2
Step 6: Stop What is the value of x?

A total of 200 people were surveyed for newspaper readership. It was found that 100 people read publication X, 120 people read publication Y and 50 people do not read either X or Y. What is the total number of people who read either publication X or publication Y but not both?

A square of side 10 units, shaded in yellow, is cut using a square of side 5 units as shown in the figure. What is the perimeter of the resulting shape, shaded in yellow?

X is three times as old as Y was three years ago. After 17 years, Y will be as old as X is today. What is the sum of the ages of X and Y today?

Which of the options show parts of the graph representing the equation 𝑥^𝑦 = 25 ?

The given 3D object is made by combining three shapes - pentagons, squares and triangles. What is the total number of squares?