List of practice Questions

IMMACULATE
Select the one which is farthest in meaning from the given word.

OBLITERATE
Select the one which is farthest in meaning from the given word.

FURLOUGH
Choose the one which is similar in meaning to the word given in capital letters.

PUNCTILIOUS
Choose the one which is similar in meaning to the word given in capital letters.

ENCOMIUM
Choose the one which is similar in meaning to the word given in capital letters.

The question below has two statements, I and Impark your answer as
Find the sum or a Geometric series 1, 3, 9, 27, 81_____ for N terms.
I. N^th term is 729.
II. Next term after the N^th term is thrice of it.

The question below has two statements, I and Impark your answer as
Find ²⁵C₁₀-
1. ²⁴C₁₄ = a
II. ²⁴C₉ = b

The question below has two statements, I and Impark your answer as
Meena wants to Find log₇₀ 96.
I. She knows the value of log₉₆ 70.
II. She knows the value of log₁₀ 70.

The question below has two statements, I and Impark your answer as
For an equation ax² + bx + c = 0, its roots are
I. Real and different if b² \(>\) 4ac.
II. Imaginary and equal if b² \(<\) 4ac.

The question below has two statements, I and Impark your answer as
For on equation ax³ + bx² + cx + d = 0, if its roots are α, β and y, then
Ι. \( \alpha \)+ \(\beta\)+ \(\gamma \) = c/a 
ΙI. \(\alpha\beta\gamma\) = d

The question below has two statements, I and Impark your answer as
For a differential expression
I. d/dx (sin²(3x)) = 2 cos (3x)
II. d/dx (a^u) = a^u (log a) du/dx

The question below has two statements, I and Impark your answer as
If y = 2x, then
I. sin y = 2 tan x/(1 + tan²x)
II. cos y = 2 tan x/(1 - tan²x)

The question below has two statements, I and Impark your answer as
IF z = x + iy, where i = (-1), then
I. z = 0, when x = 0, \(y\neq20\)
II. If a + bi = c + di, then a = c, b = d

The question below has two statements, I and Impark your answer as
There are three sets A, B and C. Find A\( \cap\) (B \( \cap\) C).
I. A \(\cup\) B and A  \(\cup\) C are known.
II. A \(\cap\) B and A \(\cap\) C are known.

The question below has two statements, I and Impark your answer as
A moving train moves Y meters in t seconds. Find its acceleration.
I. Y=t³-4t³ + 16t - 2
II. Velocity at that moment was 20 m/sec.

The length of the longest rod that can be placed in a room which is 12 m long 9 m broad and 8 m high is

Two trains of equal length are running on parallel lines in the same direction at 46 km and 36 km per hr. The faster train passes the slower train in 36 sec. The length of each train is

The remainder when 784 is divided by 342 is

In a 800 m race around a stadium having the circumference of 200 m, the top runner meets the last runner on the 5th minute of the race. If the top runner runs at twice the speed of the last runner, what is the time taken by the top runner to finish the race?

A dairyman pays Rs. 6.4 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5\(\%\) profit. The proportion of water to milk received by the customers is

Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X and Y, which are 1980 cm apart, towards each other in opposit directions. Both of them make same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel is

What is the eighth term of the sequence 1, 4, 9, 16, 25, _________?

A bicycle originally costs Rs 100 and was discounted 10\(\%\). After three months it was sold after being discounted 15\(\%\). How much was the bicycle sold for?

\((\frac{1}{2})\) log₁₀ 25-2log₁₀ 3 + log₁₀ 18 equals

A bag contains Rs. 216 in the form of one rupee, 50 paise and 25 paise coins in the ratio of 2:3: 4. The number of 50 paise coins is