The value of x in logx(4) +logx(16) + logx (64) = 12 is
XYZ invested ₹ 1,68,000 in a business. After a few months, MNP joined in the business by investing ₹ 1,12,000 in the business. At the end of year, the
The value of log a √a√a√a√a is
The ratio of 1/2 √35 : 1/3 √140 is equal to the ratio
If α and β are the roots of the equation x²-x-6=0, then the value of α³+β³+α²+β²+ α+β is equal
The roots of the equation (x/(x-1))² -5 (x/(x-1)) +6 = 0 are:
If α and β are the roots of the equation 2x²-6x+3=0, then the equation with the roots α/β and β/α is--------
Which of the following is a solution of the inequality 5x/3 ≤ x/6 -5?
The number of solutions of (5-2x)/4 ≤ X/8 -5-3-2x are where x is a real number.
The region specified by the inequalities 10x+29y≥40 and 15x-4y≤25 includes the point __________
The compound interest on ₹ 1,00,000 compounded quarterly, for 9 months at 4% per annum is ₹ __________
The difference between the compound interest and the simple interest on a certain sum at 12% per annum for 2 years is ₹ 90, when the interest is compo
A machine is depreciated at the rate of 15% on the reducing balance. The original cost of machine was ₹ 2,00,000. In approximately how many years, the
Mohan invests ₹25,000 every year starting from today for next 5 years. Interest rate is 7% per annum compounded annually. The future value of the annu
Mr. X borrowed ₹ 6000 from Mr. Y at 10% per annum simple interest. After two years Mr. X wanted to repay this amount, Mr. Y is insisted on paying the
If ₹ 2,470 is obtained as an interest in 4 years and 4 months at the rate of 3% per annum simple interest rate in bank deposit, how much amount was de
The compound interest of ₹ 4,900 is ₹ 1661 for 2 years at a certain rate of interest, compounded annually. What is the rate of interest per annum in p
If Mr. XYZ is investing ₹ 86,000 in a bank fixed deposit scheme where interest will be payable at 12% per annum, compounded half-yearly, what will be
Ms. Y invested ₹ 2,00,000 in a mutual fund equity scheme. She redeemed entire investment after 96 months and received ₹ 6,00,000 after redemption. Wha
A loan of ₹ 5,000 is lent for three years at the rate of 10% per annum, compounded semi-annually. The future value of the money is ₹ __________ (Given
One person wants to have ₹20,000 at the end of six years. Hence, he deposits ₹ __________ (rounded in rupee) in a fund that pays 3% per annum, compoun
Suppose you deposit ₹ 1,000 today, ₹2,000 after one year from today and 3,000 after two years from today, in a deposit that pays 10% per annum, compou
You are interested in an investment of ₹ 5,000 in a fund that promises ₹50 at the end of each year, forever. What is the annual interest rate on this
An investment was priced at ₹ 100 per share in year 0, priced at 150 per share in the end of the first year, and priced ₹ 200 per share in the end of
How many different words from the letters of the word MATHEMATICS can be formed so that all the vowels always come together in any word?
Find n if ⁿP₅ = 20 ⁿP₃
In a school, for a class monitor selection, there are 6 candidates, and students need to choose up to 3 monitors. A student can vote for 1 or 2 or 3 c
Different words are made with rearrangement of letters of the word “TROPICAL" in a way that the vowels occupy odd places when counted from left. How m
The common difference of the arithmetic progression 1/3, (1-3b)/3, (1-6b)/3 is __________
If the numbers x, 2x + 2 and 3x + 3 are in the geometric progression, then the fourth term of the progression is __________
The sum of all natural numbers between 200 and 600 those are divisible by 13 is __________
The sum of first two terms of a geometric progression is 14 and its infinite sum i.e. sum up to infinity is 32. What is the common ratio of the progre
For a relation R, aRb represents that a is related to b. If for all a, b, c, aRb and bRc gives that aRc, then the relation is __________
Let S = {a, b, c, d, e}. The number of non-empty proper subsets of S is __________
If f(y)= 1/(1+y) and g(y) = (y+1)/y then fog(y)=
The inverse of the function f(x) = (2+3x)/(x+5), by taking f(x) as y, is __________
Find dy/dx for x²y²+y = 0.
The cost function of an organisation as C(x) = 500-5x² + x³/3, where x denotes the output. Find the level of output at which marginal cost is the mini
The value of ∫₀³ (x+3)/(x+2) dx is __________
The value of ∫₀³ 2x/(1+x²) dx is.
Complete the given series: 0, 6, 24, 60, 120, 210, __________
Find the odd one out in the series: 2, 5, 10, 17, 26, 37, 50, 64.
If in a certain language, MADRAS is coded as NBESBT. How is DELHI coded in that language?
In a certain code, GLAMOUR is written as IJCNMWP and MISRULE is written as OGUSSNC, then how will MUSICAL be written in that code?
In the following series, one term is wrong. Find out the wrong term. 48, 50, 82, 170, 290
Suresh started walking 4 km west from his office. Then he turned right and walked 2 km. Again he turned right and walked 2 km to reach his house. In w
Mr. PQR walked 50 metres towards east, took a right turn and walked 40 metres. Then he took a left turn and walked 30 metres. In which direction is he
Starting from point A, PQ walked 40 metres south. She turned left and walked 40 metres. She then turned left and walked 40 metres. She again turned le
Two persons, P and Q, start walking from a meeting point towards North. After walking 100 metres, P turns left and Q turns right. P, after walking 50
A hunter is chasing a deer, by running 200 metres in east direction, turns to his right, runs 100 metres and turns to his right, runs 90 metres. Turni
Six persons A, B, C, D, E and F are sitting in a circle facing the centre. A is facing D. C is left of A and right of E. D is between B and E. F is ri
Six persons A, B, C, D, E and F are sitting in two rows with 3 persons in each row facing same side. C is sitting in the middle of first row. B is sit
Six people, A, B, C, D, E and F are sitting in a hexagonal shape. All the sides of the hexagon so formed are of same length. A is not adjacent to B or
Seven persons with names T, B, L, A, P, Z and R are standing in a row, facing East. It is given that T is to the right of R; A is between B and Z, L,
Eight friends with names P, Q, R, S, T, U, V and W are sitting on a bench and facing North. U is sitting between S and V; Q is sitting between W and P
A girl introduced a boy as the son of daughter of the father of her uncle. The boy is girl's
A and B are Brothers. C and D are Sisters. A's son is D's Brother. How is B related to C?
Ms. X told Ms. Y, "The girl I met yesterday at the market was the youngest daughter of the brother-in-law of my friend's mother." How is the girl rela
There are six members, named as, A, B, C, D, E and F. It is given that E is the brother of A's husband; F is the mother of E; B is the daughter of D a
It is given that a person named as A is married to B; the person E is a brother of D and the person B is the mother of C whose sister is D. How is D r
Sampling method which belongs to the category of Mixed sampling is
Number of students in a college is an example of
For manifold classification, this method of presentation of data cannot be recommended:
The most commonly used distribution is __________ in which the maximum frequency is at the central part and the frequency decreases when one moves awa
Which of the followings is not a basic principle of sample survey?
After a singing competition on a live TV show, the winner is selected according to the number of likes each candidate has received on a messaging app.
A bar chart can be drawn for the data having numbers on
An investigator collects information on salaries received by 1000 persons. From this collection, the data on women are extracted. Now the data is call
Two sales-persons present their numbers of sales per week for a month. An appropriate diagram that can be drawn for this data is __________
If X and Y are related by 4X+3Y+5=0 and Mean of X is 10, then the Mean of Y is __________
For a moderately skewed distribution of marks in English for a group of 145 students the mean marks and median marks were found to be 55.10 and 52.40,
If there are two groups with 10 and 12 observations and harmonic mean of the two groups are 3 and 5 respectively, then the combined Harmonic mean is
Best measure of Dispersion for open-end classification is the __________ which does not change with the change of __________
Coefficient of range of 84, 93, 53, 70, 82, 65 is
Calculate the Harmonic Mean of 1, 1/3, 1/6 and 1/9
Find the Coefficient of variation for the following numbers; 7,5,9,3,6
A set contains seven numbers whose average is 12. The average of four greater numbers is 18 and the average of four smaller numbers is 8. Which of the
If the sum of ten values is 20 and sum of squares of these values is 80, then the standard deviation is __________
A data set has first eleven positive multiples of 6. The semi inter-quartile range is __________
The number of tosses of a coin, that are needed so that the probability of getting at least one head is 0.875, is
Two-person X and Y appear in an interview for two vacancies for the same post. The probability of X's selection is 1/5 and that of Y's selection is 1/
A number is selected at random from the first 50 natural numbers. What is the probability that it would be either a two-digit prime number or a compos
Some dice with six faces have numbers written from Four to Nine. Two such dice are thrown simultaneously. Find the probability that the sum of numbers
Three components A, B and C are manufactured separately and then assembled into a finished product. While producing the three components, it is found
Two persons are playing a set of matches. The winner of 4 matches is declared as the winner. Any player has 50% chance to win a match. The probability
The Mode of binomial distribution B (7,1/3) is
An emergency room receives an average of 3 patients per hour. What is the probability that exactly 2 patients arrive in an hour? (Given: e⁰ = 1, e⁻¹ =
If a binomial distribution has n = 20 and p = 0.3 what is its variance?
It is given that X has normal distribution with mean zero and standard deviation one. Also given that P [- 2
The probability mass function of a distribution is given below in a tabular form: x 0 1 2 3 4 p(x) k 2k + k² 3k 2k + k² k Where k is a non-negative co
For a group of students, the sum of squares of differences in ranks for Maths and Physics marks are found to be 60, which is 120 times the value of ra
If two variables move in the same direction i.e. an increase (or decrease) on the part of one variable introduces an increase (or decrease) on the par
If m + 3x = 10 and 2y + 5n = 25 and regression coefficient of y on x is 0.80, what is the regression coefficient of n on m?
If the regression coefficient b yx is greater than one, then the regression coefficient b xy
The sum of squares of the differences between two ranks awarded by two judges on 10 candidates is __________ if the rank correlation coefficient is 0.
Two indices that is current on base and base on current should be reciprocals of each other in
If ∑p₀q₀ = 160.7 and ∑p₁q₀ = 178.6, then the cost of living index is
Which sampling technique can be used for the construction of Index numbers?
From the year 2015 to 2025, Consumer price index increased from 125 to 196. During this period, salary of the employees as per 7th pay commission reco
If the consumer price index number is 750, then the purchasing power of one rupee is __________