Recent questions without answers

There is a tunnel connecting city $\text{A}\; \&\;\text{B}.$ There is a CAT which is standing at $\frac{3}{8}$ the length of the tunnel from $\text{A}.$ It listens a whis...

If $pqr=1$ then $\frac{1}{1+p+r^{-1}} + \frac{1}{1+q+r^{-1}} + \frac{1}{1+r+p^{-1}} $ is equivalent to$p+q+r$$\frac{1}{p+q+r}$$1$$p^{-1}+q^{-1}+r^{-1}$

Three small pumps and one additional pump are filling a tank. Each of the three small pumps works at $2/3$ rd the rate of the large pump. If all $4$ pumps work at the sam...

Davji shop sells samosas in boxes of different sizes. The samosas are priced at Rs $2$ per samosa upto $200$ samosas. For every additional $20$ samosas, the price of the ...

Answer the question based on the diagramIn the diagram below Angle $\text{ABC} = 90^{\circ} = \text{Angle DCH = Angle DOE = Angle EHK = Angle FKL = Angle GLM = Angle LMN...

A rich merchant had collected many gold coins. He did not want anybody to know about them, One day, his wife asked, “How many gold coins do we have?” After pausing a mome...

In how many ways, we can choose a black and a white square on a chess board such that the two are not in the same row or column?$32$$96$$24$None of these

How many numbers between $0$ and one million can be formed using $0, 7$ and $8?$$486$$1086$$728$None of these

On the corners of a square field of side $14$ metres, $4$ horses are tethered in such a way the adjacent horses just reach to each other. There is a circular pond of area...

Neeraj has a rectangular field of size $20 \times 40$ sq.mt. He has to mow the field with a moving machine of width $1$ mt. If he mows the field from the extremes to the ...

On a $20$ km tunnel connecting two cities A and B there are three gutters. The distance between gutter $1$ and $2$ is half the distance between gutter and $2$ and $3.$ Th...

The area of the triangle with the vertices $(a,a), (a+1, a)$ and $(a, a+2)$ is$a^3$$1$$0$None of these

Amar went for a holiday to his friend’s place. They together either went for yoga in the morning or played tennis in the evening. However, they either went for the yoga i...

A student finds the sum $1 + 2 + 3 + \dots $ as his patience runs out. He found the sum as $575.$ When the teacher declared the result wrong, the student realized that he...

For all real $\text{X, [X]}$ represents the greatest integer. If $\text{L(X,Y) = [X] + [Y] + [X+Y]}$ and $\text{G(X, Y) = [2X] + [2Y]}.$ Then the ordered pair $\text{(X,Y...

A man received a cheque. The amount in Rs. has been transposed for paise and vice versa. After spending Rs. $5$ and $42$ paise, he discovered he now had exactly $6$ times...

There is a common chord of $2$ circles with radius $15$ and $20.$ The distance between the two centres is $25.$ The length of the chord is$48$$24$$36$$28$

Let $S=2x + 5x^2 + 9x^3 + 14x^4 + 20x^5 \dots \dots $ infinity. The coefficient of $n$-th term is$\frac{n(n+3)}{2}$. Then the sum $S$ is$\frac{x(2-x)}{(1-x)^3}$$\frac{(2-...

The remainder when $2^{256}$ is divided by $17$ is$7$$13$$11$$1$

In the figure given below, find the distance $\text{PQ}.$ $7$ m$4.5$ m$10.5$ m$6$ m

The internal bisector of an angle $\text{A}$ in a triangle $\text{ABC}$ meets the side $\text{BC}$ at point $\text{D. AB = 4, AC = 3}$ and angle $\text{A} = 60^{\circ}$. ...

On a straight road $\text{XY}, 100$ metres in length, $5$ stones are kept beginning from the end $\text{X}.$ The distance between two adjacent stones is $2$ metres. A man...

If $f(x) = \log(1+x)/(1-x))$, then $f(x)+f(y)=$$f(x+y)$$f(1+xy)$$(x+y) \: f(1+xy)$$f (\frac{x+y}{1+xy})$

If $\text{U, V, W}$ and $m$ are natural numbers such that $\text{U}^m + \text{V}^m = \text{W}^m$, then which of the following is true?$m < \min\text{(U, V, W)}$$m \max\t...

Mayank, Mirza, Little and Jagbir bought a motorbike for $\$60.$ Mayank contributed half of the total amount contributed by others. Mirza contributed one-third of total am...

The number of roots of $\frac{A^2}{x} + \frac{b^2}{x-1} =1$ is $1$$2$$3$None of these

In order to cover less distance, a boy – rather than going along the longer and the shorter lengths of the rectangular path, goes by the diagonal. The boy finds that he s...

$n_1, n_2, n_3, \dots, n_{10}$ are 10 numbers such that $n_1 0$ and the numbers are given in ascending order. How many triplets can be formed using these numbers such th...

For all integers $n>0, \: \: 7^{6n} - 6^{6n}$ is divisible by$13$$128$$549$None of these

A string of length $40$ meters is divided into three parts of different lengths. The first part is three times the second part, and the last part is $23$ meters smaller t...

If $x^2 + 5y^2 + z^2 = 2y(2x+z)$, then which of the following statements are necessarily true?$x=2y$$x=2z$$2x=z$Only IOnly IIOnly IIIOnly I and II

Only a single rail track exists between station A and B on a railway line. One hour after the north bound superfast train N leaves station A for station B, a south passen...

For three integers $x, y$ and $z, x+y+z=15,$ and $xy+yz+xz=3.$ What is the largest value which $x$ can take?$3 \sqrt{13}$$\sqrt{19}$$13 /3$$\sqrt{15}$

There are three pieces of cake weighing $9/2$ lbs, $27/4$ lbs and $36/5$ lbs. Pieces of the cake are equally divides and distributed in such a manner that every guest in ...

For the capitalized word a sentence is given, you have to find out the option which represents the similar meaning to the given word.OSTENSIBLE – The watchmen’s ostensibl...

For the capitalized word a sentence is given, you have to find out the option which represents the similar meaning to the given word.RESTIVE – The waiting public started ...

For the capitalized word a sentence is given, you have to find out the option which represents the similar meaning to the given word.PREVARICATE – When her video tape rec...

For the capitalized word a sentence is given, you have to find out the option which represents the similar meaning to the given word.PORTENDS – it appears to many that US...

For the capitalized and bolded word a sentence is given, you have to find out the option which represents the similar meaning to the given word.OPPROBRIUM – The police ha...

For the word given at the top of each table, match the dictionary definitions on the left (A, B, C, D) with their corresponding usage on the right (E, F, G, H). Out of th...