Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 20 ] :
Find the median of the data: 12, 15, 16, 10, 8, 19.
Your Answer : (Not Answered)
Correct Answer : B
First, arrange the data in ascending order: 8, 10, 12, 15, 16, 19.
Since there is an even number of observations (6), the median is the average of the two middle values (the 3rd and 4th terms).
Middle values are 12 and 15.
Median = \(\frac{12 + 15}{2} = \frac{27}{2} = 13.5\).
What is the value of 0! ?
Your Answer : (Not Answered)
Correct Answer : B
By definition, the value of 0! (zero factorial) is 1. This is a convention used to make many mathematical formulas, like the binomial theorem, work correctly.
Find the unit digit of \(7^{71}\).
Your Answer : (Not Answered)
Correct Answer : B
The power cycle of the unit digit for 7 is (7, 9, 3, 1), with a length of 4. We find the remainder of the power \(71\) when divided by 4. \(71 = 17 \times 4 + 3\). The remainder is 3. The required unit digit is the 3rd in the cycle, which is 3.
\(? \div 25 \div 12 = 248.64\)
Your Answer : (Not Answered)
Correct Answer : A
Let the missing number be x.
The equation is \(\frac{x}{25 \times 12} = 248.64\).
\(x = 248.64 \times 25 \times 12\).
\(x = 248.64 \times 300\).
\(x = 24864 \times 3 = 74592\).
An equation containing a function of one independent variable and its derivatives is
Your Answer : (Not Answered)
Correct Answer : A
No answer description available for this question.
A vertical tower stands on a horizontal plane and is surmounted by a flagstaff of height 7m. At a point on the plane, the angle of elevation of the bottom of the flagstaff is 30º and that of the top o
Your Answer : (Not Answered)
Correct Answer : A
No answer description available for this question.
From the top of a temple near a river the angles of depression of both the banks of river are 45° & 30°. If the height of the temple is 100 m then find out the width of the river.
Your Answer : (Not Answered)
Correct Answer : B
No answer description available for this question.
What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?
Your Answer : (Not Answered)
Correct Answer : D
No answer description available for this question.
A letter is chosen at random from the letters of the word ASSASSINATION. The probability that the letter chosen has:
Your Answer : (Not Answered)
Correct Answer : B
No answer description available for this question.
A box contains 4 black, 3 red and 6 green marbles. 2 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?
Your Answer : (Not Answered)
Correct Answer : B
No answer description available for this question.
In how many ways can we arrange the word ‘FUZZTONE’ so that all the vowels come together?
Your Answer : (Not Answered)
Correct Answer : C
No answer description available for this question.
Suppose today is Friday, what day of the week will it be 65 days from now?
Your Answer : (Not Answered)
Correct Answer : B
The day of the week repeats every 7 days.
Given today is Friday. Again Friday is repeated on the 7th day, 14th,... on 7 multiple days.
Hence, Friday is on the 63rd day, as 63 is multiple of 7.
Now, the required day of the week on the 65th day is Sunday.
Today is Monday. After 61 days, it will be:
Your Answer : (Not Answered)
Correct Answer : B
Each day of the week is repeated after 7 days.
So, after 63 days, it will be Monday.
After 61 days, it will be Saturday.
A bus is going to Goa from Pune. With 4 stops of 15 minute each, the average speed of the bus comes out to be 45 m/hr. But if the driver takes the bus without any stops, the average peed comes out to be 50 km/hr. How far is Goa from Pune?
Your Answer : (Not Answered)
Correct Answer : B
No answer description available for this question.
Simplify (x - 9)(x + 10) ⁄ (x⊃2; - 81)
Your Answer : (Not Answered)
Correct Answer : C
No answer description available for this question.
A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 litres a minute. When the tank is full, the inlet is opened and due to the leak the tank is empty in 8 hours. The capacity of the tank (in litres) is
Your Answer : (Not Answered)
Correct Answer : C
Pipe R can empty a full tank in 30 hours. But two pipes P and Q can fill a tank in 15 hours and 10 hours respectively. Ram unknowingly opened all three taps. After 2 hours Shyam realized it and closed Pipe R. Due to this mistake how much time more would it take to fill the tank?
Your Answer : (Not Answered)
Correct Answer : B
A student multiplied a number by \(\frac{5}{6}\) instead of \(\frac{6}{5}\). What is the percentage
error in the calculation?
Your Answer : (Not Answered)
Correct Answer : B
The number be 30
When the student multiplied it by \(\frac{5}{6}\), ⇒ original result \(= \frac{5}{6} \times 30 = 25\)
When the student multiply it by \(\frac{6}{5}\), ⇒ New result \(= \frac{6}{5} \times 30 = 36\)
⇒ Percentage error in calculation \(= \frac{(36-25)}{36} \times 100 \)
\(\Rightarrow \frac{1100}{36} = 30.56\)
When Raj Tarun was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Raj Tarun's brother is 6 years older than Raj Tarun and his mother is 3 years younger than his father, how old was Raj Tarun's sister when Raj Tarun was born ?
Your Answer : (Not Answered)
Correct Answer : B
Raj Tarun's age = 0 when he was born.
Then, given his brother is 6 years old.
Then his father is 6 + 32 = 38 when Raj Tarun was born
And his mother is 3 years yonger than his father => so his mother was 35 years old when Raj Tarun was born
and his sister is 25 year younger than his mother
so Raj Tarun's sister was 10 years old when Raj Tarun was born.
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?
Your Answer : (Not Answered)
Correct Answer : D
L.C.M. of \(252, 308\) and \(198 = 2772\)
So, \(A, B\) and \(C\) will again meet at the starting point in \(2772\) seconds.
i.e. \(46\) minutes \(12\) seconds.