1 vote
1
Find the value of $x$ satisfying : $\log_{10} \left (2^{x}+x-41 \right)=x \left (1-\log_{10}5 \right)$ $40$ $41$ $-41$ $0$
1 vote
2
If $x=\dfrac{\sqrt{10}+\sqrt{2}}{2}, \: \: y=\dfrac{\sqrt{10}-\sqrt{2}}{2}$ then the value of $\log _{2}(x^{2}+xy+y^{2})$ is: $0$ $1$ $2$ $3$
1 vote
3
If $a^{x}=b, b^{y}=c$ and $c^{z}=a$, then $xyz$ equals: $abc$ $\dfrac{1}{abc}$ $1$ None
4
Each question below contains six statements followed by four sets of combinations of three; Choose the set in which the statement are logically related. A. Final year students would like a good career. B. All final year students are eligible as candidates for MBA entrance examination. C.Final year ... F. All those who would like a good career are entitled to it. (a) AEF (b) EBC (c) BCF (d) CDF
5
The average of $8$ readings is $24.3$, out of which the average of first two is $18.5$ and that of next three is $21.2$. If the sixth reading is $3$ less than seventh and $8$ less than eighth, what is the sixth reading ? $24.8$ $26.5$ $27.6$ $29.4$
6
Tarun bought a T.V with $20\%$ discount on the labelled price. If he had bought it with $25\%$ discount, he would have saved $₹500$. At what price did he buy the T.V.? $₹8,000$ $₹10,000$ $₹12,000$ $₹16,000$
7
The banker's discount on a bill due $1$ year $8$ months hence is ₹ $50$ and the true discount on the same sum at the same percent is ₹ $45$. The rate percent is : $6\%$ $\frac{20}{3}\%$ $6\frac{1}{2}\%$ $\frac{516}{59}\%$
8
On dividing $50$ into two parts such that the sum of their reciprocals is $\dfrac{1}{12}$, we get the parts as: $20,30$ $24,26$ $28,22$ $36,14$
9
A general wishing to draw his $17429$ men in the form of a solid square found that he had $5$ men over. The number of men in the front row was: $174$ $424$ $132$ $742$
10
By which one of the following should we multiply $152207$ so that the product is $11111111$? $53$ $63$ $73$ $83$
11
₹ $49$ were divided among $150$ children. Each girl got $50$ paise and a boy $25$ paise. How many boys were there ? $100$ $102$ $104$ $105$
12
$21$ mango trees, $42$ apple trees and $56$ orange trees have to be planted in rows such that each row contains the same number of trees of one variety only. Minimum number of rows in which the above trees may be planted is : $3$ $15$ $17$ $20$
13
$\left (x^{n}+a^{n} \right)$ is divisible by $(x+a)$ : For all values of $n$ Only for even values of $n$ Only for odd values of $n$ Only for prime values of $n$
14
Three different containers contain different qualities of mixtures of milk and water whose measurements are $403$ $kg$, $434$ $kg$ and $465$ $kg$. What biggest measure must be there to measure all different qualities an exact number of times ? $1$ $kg$ $7$ $kg$ $41$ $kg$ $31$ $kg$
15
A school has $378$ girls and $675$ boys. All the students divided into strictly boys and strictly girls students sections. All the sections in the school has same number of students. What is the number of sections in the school? $27$ $36$ $39$ $23$
16
If $5$ spiders can catch $5$ files in $5$ minutes. How many files can $100$ spiders catch in $100$ minutes : $100$ $1000$ $500$ $2000$
17
A dog at point $A$ goes in pursuit of a fox $30$ $m$ away. The dog makes $2$ $m$ and the fox, $1$ m long leaps. If the dog makes two leaps to the fox’s three, at what distance from $A$ will the dog catch up with the fox ? $100$ $m$ $110$ $m$ $105$ $m$ $120$ $m$
18
A charitable trust donates $28$ different books of Maths, $16$ different books of science and $12$ different books of social science to poor students. Each student is given maximum number of books of only one subject of their interest and each student got equal number of books. Find the total number of students who got books. $14$ $10$ $12$ $15$
19
$₹6500/-$ were divided among a certain number of persons. If there had been $15$ more persons, each would have got $₹30/-$ less. Find the original number of persons. $50$ $60$ $45$ $55$
20
The factors of $(x^{2}+4y^{2}+4y-4xy-2x-8)$ are: $(x-2y-4)(x-2y+2)$ $(x-y+2)(x-4y-4)$ $(x+2y-4)(x+2y+2)$ None of these
21
The value of $\large\frac{(0.96)^3-(0.1)^3}{(0.96)^2+0.096+(0.1)^2}$ is : $0.86$ $0.95$ $0.97$ $1.06$
1 vote
22
In a group of $7$ people, the average age is found to be $17$ years. Two more people joined with an average age $19$ years. One person left the group whose age was $25$ years. What is the new average age of the group? $17.5$ years $16.5$ years $18$ years $16$ years
23
Rani will be twice Raja’s age in $3$ years when Raja will be $40$. How many years old is Rani now? $20$ $80$ $77$ $37$
1 vote
24
The question is based on the information provided below. A number of dacoits need to hole up in their hideout. The problem is that, as with many criminal groups, there are a number of personality conflicts that disallow certain members of the dacoit group from being in the hideout at the same time as certain other members. ... $\text{F, D, C, B}$ $\text{E, H, D, A}$ $\text{H, B, E, C, F}$
1 vote
25
The question is based on the information provided below. A number of dacoits need to hole up in their hideout. The problem is that, as with many criminal groups, there are a number of personality conflicts that disallow certain members of the dacoit group from being in the hideout at the same ... $\text{B}$ must be in the hideout $\text{C}$ is not in the hideout.
26
Complete the series by choosing the appropriate missing term from the options given. $\text{Z15A, W13C, ? , Q9G, N7I.}$ $\text{T12F}$ $\text{R11F}$ $\text{T11E}$ $\text{R13D}$
1 vote
27
Look carefully for the pattern, and then choose which pair of numbers comes next. $61 \quad 57 \quad 50 \quad 61\quad 43 \quad 36 \quad 61$ $29 \quad 61$ $27 \quad20$ $22 \quad15$ $29 \quad22$
28
Find the odd word/ letters/ number/ figure form the given responses. YXVU ORQP KJHG MLJI
29
Find the odd word/ letters/ number/ figure form the given responses. PRSQ UWXV LONM CEFD
1 vote
30
Which of the following does not fit in the letter number series given below? $G$ $4$ $T$ $J$ $10$ $R$ $M$ $20$ $P$ $P$ $43$ $N$ $S$ $90$ $L$ $J$ $10$ $R$ $M$ $20$ $P$ $P$ $43$ $N$ $G$ $4$ $T$
1 vote
31
Prabhat remembers that his mother's birthday is after $17^{th}$ April but before $21^{st}$ April, whereas his sister Urmila remembers that their mother's birthday is after $19^{th}$ but before $24^{th}$ April. Which of the following days in April is definitely their mother's birthday ? $19^{th}$ $21^{st}$ $22^{nd}$ $20^{th}$
1 vote
32
If water is called blue, blue is called red, red is called white, white is called sky, sky is called rain, rain is called green, green is called air and air is called table, which of the following is the colour of milk? White Rain Sky Green
1 vote
33
Poster is related to wall in the same way as photograph is related to ___________. Frame Camera Object People
1 vote
34
In a certain code language $\text{‘1 3 4’}$ means ‘you are well’, $\text{‘7 5 8’}$ means ‘they go home’, $\text{‘8 3 9’}$ means ‘we are home’, Which of the statement can be dispensed with while answering the above question? (a) only (b) only (a) or (b) only (b) and (c) only
1 vote
35
How many pair of natural numbers are there, the differences of whose squares is $45$ ? $1$ $2$ $3$ $4$
36
Hopfield networks are a type of _________. Giga bit network Terra bit network Artificial neural network Wireless network
37
Self Organizing Maps are A type of satistical tool for data analysis A type of Aritificial Neural Networks A type of particle Swarm Algorithm None of the above
38
The concept of semantic web was proposed / given by ________ Ullman Ravi Sethi Time Berners Lee Donald Knuth
39
Who gave the (so-called) Three laws of Robotics von Neumann Issac Asimov Alan Turing Sabeer Bhatia