List of practice Questions

Read the given statement and arguments carefully. Assuming that the information given in the statement is true, even if it appears to be at variance with commonly known facts, decide which of the given arguments logically follow(s) from the statement.
Statement: Should all members of parliament be highly qualified in India?
Arguments:
I. A highly qualified person is honest.
II. They will understand the real problems of people.
III. No, the number of highly qualified people is very low in India. Therefore, this statement is against Indian democracy.

How many 5s are there in the following number sequence immediately preceded by an odd number, but NOT immediately followed by an odd number?
2564352956531649562421554967214755496425

Select the number from the given options that can replace the question mark (?) in the following series.
4, 11, 26, ?, 120, 247

Read the given statement followed by two courses of action numbered I and II. You have to assume everything in the statement to be true and based on the information given in the statement, decide which of the suggested courses of action logically follow(s) from the statement.
Statement:
The price of onions is on the rise in India due to the lower production of onions.
Courses of Action:
I. The government should give a minimum support price for onions to motivate farmers to crop them.
II. The government should mandate onion cropping for all farmers.

In a certain code language, 'EGKMZBLNDF' is coded as 'FLAME38' and 'QSHJFHGISU' is coded as 'RIGHT124'. How will 'DFEGFHGIHJ' be coded in that language?

Select the option that is related to the third number in the same way as the second number is related to the first number.
99 : 120 :: 143 : ?

The mark of Kiran is greater than or equal to the marks of Hina. Hina and Tina got equal marks. The mark of Tina is greater than Urvi, but Urvi's marks are less than or equal to the marks of Ira. Based on the above information, which of the following statements is/are definitely true?
I. Urvi got less marks than that of Kiran.
II. Ira's marks are less than or equal to the marks of Tina.

Kamla can complete a piece of work in 24 days. Nirmala can complete this work in 18 days. Kamla started the work alone and worked for X days. After this Nirmala alone completed the remaining work in Y days, in this way the work is completed in 20 days. If X and Y are both positive integers, then select the correct option.

What is the value of \( \log_{10} 50 + \frac{\log_{0.5} 5}{1+\log_{2} 5} \)?

The ratio of an interior angle to its corresponding exterior angle of a regular polygon is 9 : 2. If number of sides in the polygon is n, then select the CORRECT option.

Suppose M = (1, 1), N = (-1, 3), S = (2, 7), T = (0, -4). If A and B, respectively, divide MN and ST in the ratio 2:3, what is the equation of line AB?

For p,q,r \(\neq\) 0, let \(f(x) = x^3 - px^2 + qx - r\), \(g(x) = x^3 - \frac{p}{r}x^2 + \frac{q}{r^2}x - \frac{1}{r}\). Which of the following statements is/are true?
I. \(f(a) = 0 \implies g(\frac{1}{a}) = 0\).
II. \(f(a) = 0 \implies g(1 + a) = 0\).
III. \(g(a) = 0 \implies f(\frac{r}{a}) = 0\).}

Two friends, Rama and Jaya, appeared an examination. Rama secured 8 marks more than Jaya and her marks was 55% of the sum of their marks. The marks obtained by them are:

The area enclosed by |x| + |y| = 2 is:

Denote the origin by O, (2,1) by P and (–1,2) by Q. If R and S are marked on the XY-plane such that OR = 30 units, OS = 40 units, P lies on OR and Q on OS, then what is the distance between R and S, in the given unit?

Sony has a certain quantity of mixture in her bottle containing water and milk in the ratio 3 : 5, respectively. She takes out some quantity of that mixture and replaces it with an equal quantity of water. If the ratio of water to the milk in the new mixture is x : y, then select the INCORRECT statement from the following options.

If we draw the graph of \(f(x) = \log_{10(x + 1)\) on the domain of definition, which quadrants does it pass through?}

If \(\frac{x^3}{z^2}<\frac{x^3+y^3+z^3}{x^2+y^2+z^2}<\frac{z^3}{x^2}\); \(x, y, z\) are positive real numbers, then which of the following options always ensure the given inequality to be true?

Which of the following statements is/are true?
I. \(4^{10} + 6^{10}\) is divisible by 52.
II. \(7^{15} + 64^5\) is divisible by 11.
III. \(2^{20} - 49^{10}\) is divisible by 9.
IV. \(3^{15} - 8^5\) is divisible by 5.

In a farmhouse, there are only horses and sheep. If 50% of the horses were sheep, then there would have been 50% more sheep than the number of horses. What percentage of all the animals are horses?

The least perfect square that is divisible by each of 321, 48 and 66 is:

If \(x = 7\), then what is the value of
\(\frac{x^{\frac{1}{2}} + x^{-\frac{1}{2}}}{1 - x} + \frac{1 - x^{-\frac{1}{2}}}{1 - \sqrt{x}} = ?\)

The sum of the first 24 terms of an AP is \(\frac{12504}{25}\) and the sum of the next 24 terms is \(\frac{17112}{25}\). What is the \(3^{\text{rd}}\) term?

A number \(1 + 7^{47}\) is divisible by \(x\). Which of the following is also divisible by \(x\)?

In a club, a member is either an Indian or a non-Indian who is either a man or a woman. One-third of them are women, two-thirds of them are Indian and three-eighths of the non-Indians are women. What is the probability that a man picked at random is a non-Indian?