1
The following table represents addition of two six-digit numbers given in the first and the second rows, while sum is given in the third row. In the representation, each of the digits $0,1,2,3,4,5,6,7,8,9$ has been coded with one letter among A,B,C,D,E,F,G,H,I,J,K, with distinct ... + A H J F K F A A F G C A F Which among the digits $3,4,6$ and $7$ cannot be represented by the letter D?_____
2
The following table represents addition of two six-digit numbers given in the first and the second rows, while sum is given in the third row. In the representation, each of the digits $0,1,2,3,4,5,6,7,8,9$ has been coded with one letter among A,B,C,D,E,F,G,H,I,J,K, with ... letters representing distinct digits. B H A A G F + A H J F K F A A F G C A F Which digit does the letter B represents?_____
3
The following table represents addition of two six-digit numbers given in the first and the second rows, while sum is given in the third row. In the representation, each of the digits $0,1,2,3,4,5,6,7,8,9$ has been coded with one letter among A,B,C,D,E,F,G,H,I,J,K, with ... letters representing distinct digits. B H A A G F + A H J F K F A A F G C A F Which digit does the letter A represent?_______
4
How many litres of a $3\%$ hydrogen peroxide solution should be mixed with $6$ liters of a $30\%$ hydrogen peroxide solution so as to get a mixture of $12\%$ solution ? $3$ litres $6$ liters $9$ litres $12$ litres
5
A train travelling from Delhi to Ambala meets with an accident after $1$ hr. It is stopped for $\frac{1}{2}$ hr, after which it proceeds at fourth-fifth of its usual rate, arriving at Ambala at $2$ hr late. If the train has covered $80$ km more before the accident, it would have been just $1$ hr late. The usual speed of the train is : $20$ km/hr $30$ km/hr $40$ km/hr $50$ km/hr
6
A train enters into a tunnel $AB$ at $A$ and exits at $B$. A jackal is sitting at $O$ in another by passing tunnel $AOB$, which is connected to $AB$ at $A$ and $B$, where $OA$ is perpendicular to $OB$. A cat is sitting at $P$ inside the tunnel $AB$ making the shortest possible distance ... $A$. The ratio of speeds of jackal and cat is : $\frac{2}{3}$ $\frac{4}{3}$ $\frac{5}{3}$ $\frac{3}{2}$
7
Answer the questions on the basis of the information given below. Purana and Naya are two brands of kitchen mixer-grinders available in the local market. Purana is an old brand that was introduced in $1990$, while Naya was introduced in $1997$. For both these brands, $20$% ... of the year. How many Purana mixer-grinders were purchased in $1999$? $20$ $23$ $50$ Cannot be determined from the data
8
Answer the questions on the basis of the information given below. Purana and Naya are two brands of kitchen mixer-grinders available in the local market. Purana is an old brand that was introduced in $1990$, while Naya was introduced in $1997$. For both these brands, $20$% of ... of the year. How many Purana mixer-grinders were disposed off in $2000$? $0$ $5$ $6$ Cannot be determined from the data
9
Answer the questions on the basis of the information given below. Purana and Naya are two brands of kitchen mixer-grinders available in the local market. Purana is an old brand that was introduced in $1990$, while Naya was introduced in $1997$. For both these brands, $20$% of the mixer ... $2000$, as at the end of the year. How many Naya mixer-grinders were purchased in $1999$? $44$ $50$ $55$ $64$
10
Answer the questions on the basis of the information given below. Purana and Naya are two brands of kitchen mixer-grinders available in the local market. Purana is an old brand that was introduced in $1990$, while Naya was introduced in $1997$. For both these brands, $20$% of ... How many Naya mixer-grinders were disposed off by the end of $2000$? $10$ $16$ $22$ Cannot be determined from the data
1 vote
11
Arrange sentences A, B, C and D between sentences 1 and 6 to form a logical sequence. 1. There are, moreover, unconscious aspects of our perception of reality. A. Within the mind they become psychic events. B. The first is the fact that even when our ... contains an indefinite number of unknown factors. 6. The reason is, we cannot know the ultimate nature of matter itself. CBDA BADC DBAC DABC
12
Six players- Tanzi, Umeza, Wangdu, Xyla, Yonita and Zeneca completed in an archery tournament. The tournament had three compulsory rounds, Rounds $1$ and $3$. In each round every player shot an arrow at a target. Hitting the Centre of the target (called bull's eye) fetched the highest ... same score in Round $1$ but different scores in Round $3$. What was Zeneca's total score? $22$ $23$ $21$ $24$
13
Arrange the four sentences in order so that they make a logically coherent paragraph. A. Widely publicised tables of income levels of all countries indicate that when incomes are higher, the greater is the contribution made by the manufacturing industry. B. ... country must industrialise. D. Industrialisation is seen as the key to growth and a prerequisite for development CBAD DCBA DABC CABD
14
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 the four possibilities given in the boxes below the table, select the one that has all the definitions and their usages correctly matched. EXCEED Dictionary ... C-E, D-G A-H, B-E, C-F, D-G A-G, B-F, C-E, D-H A-F, B-G, C-H, D-E
15
Arrange the words given below in a meaningful sequence. 1. Puberty 2. Adulthood 3. Childhood 4. Infancy 5. Senescence 6. Adolescence 2, 4, 6, 3, 1, 5 4, 3, 1, 6, 2, 5 4, 3, 6, 2, 1, 5 5, 6, 2, 3, 4, 1
16
Arrange the words given below in a meaningful sequence. 1. District 2. Village 3. State 4. Town 5. City 2, 4, 1, 5, 3 2, 1, 4, 5, 3 5, 3, 2, 1, 4 2, 5, 3, 4, 1
1 vote
17
In a certain $\text{STABILISE}$ is written as $\text{UVCDKNKUG.}$ How is $\text{ORGANISE}$ written in that code? $\text{QTICPKUG}$ $\text{QTICPKUH}$ $\text{QTIBPKUG}$ $\text{QTICPKUJ}$
18
Let $A$ and $B$ be two regular polygons having $a$ and $b$ sides, respectively. If $b= 2a$ and each interior angle of $B$ is $3/2$ times each interior angle of $A$, then each interior angle, in degrees, of a regular polygon with $a + b$ sides is_____
19
Let $A$ be a real number. Then the roots of the equation $x^{2}-4x-\log _{2}A=0$ are real and distinct if and only if $A> \frac{1}{16}$ $A> \frac{1}{8}$ $A< \frac{1}{16}$ $A< \frac{1}{8}$
1 vote
20
A can contains a mixture of two liquids $A$ and $B$ in proportion $7:5$. When $9$ litres of mixture are drawn off and the can is filled with $B$, the proportion of $A$ and $B$ becomes $7:9$. How many litres of liquid $A$ was contained by the can initially? $25$ $10$ $20$ $21$
21
Find the odd word out from each of the following sets of four words. Taxi Cruise Amble Cab
1 vote
22
If $a^{2}+b^{2}+c^{2}=1$, then which of the following can't be the value of $ab+bc+ca$ ? $0$ $\frac{1}{2}$ $\frac{-1}{4}$ $-1$
23
Frustration arises from the gap between __________ and ___________. belief; behavior learning; behaviour expectations; attainments behaviour; attitudes
24
The sum of first $n$ terms of an $A.P$. whose first term is $\pi$ is zero. The sum of next $m$ terms is : $\frac{ \pi m \left(m+n \right)}{n-1}$ $\frac{ \pi n \left(m+n \right)}{1-n}$ $\frac{ \pi m \left(m+n \right)}{1-n}$ $1$
25
A cylindrical box of radius $5$ cm contains $10$ solid spherical balls each of radius $5$ cm. If the topmost ball touches the upper cover of the box, then the volume of the empty space in the box is: $\dfrac{2500\pi}{3}$ cubic cm $500\pi$ cubic cm $2500\pi$ cubic cm $\dfrac{5000\pi}{3}$ cubic cm
26
The value of the following expression : $\left [ \frac{1}{2^{2}-1} \right ]+\left [ \frac{1}{4^{2}-1} \right ]+\left [ \frac{1}{6^{2}-1} \right ]+\dots\dots+\left [ \frac{1}{20^{2}-1} \right ]$ is : $\frac{10}{21}$ $\frac{13}{27}$ $\frac{15}{22}$ $\frac{22}{15}$
27
Find the value of the expression $1-6+2-7+3-8+\dots\dots$ to $100$ terms. $-250$ $-500$ $-450$ $-300$
28
Adrian starts a start-up with a capital of Rs. $85,000.$ Brian joins in the start-up with Rs. $42,500$ after sometime. For how much period does Brian join, if the profits at the end of the year are divided in the ratio of $3:1?$ $5$ months $6$ months $7$ months $8$ months
29
The minute hand is $10$ cm long. Find the area of the face of the clock described by the minute hand between $9$ a.m and $9:35$ a.m. ${183.3\ cm^{2}}$ ${366.6\ cm^{2}}$ ${244.4\ cm^{2}}$ ${188.39\ cm^{2}}$
30
The price of an article was increased by $p\%$, later the new price was decreased by $p\%$. If the last price was Re. $1$ then the original price was: $\dfrac{1-p^{2}}{200}\\$ $\dfrac{\sqrt{1-p^{2}}}{100} \\$ $1-\dfrac{p^{2}}{10,000-p^{2}} \\$ $\dfrac{10,000}{10,000-p^{2}}$
31
What is the largest positive integer $n$ such that $\frac{n^{2}+7n+12}{n^{2}-n-12}$ is also a positive integer? $8$ $12$ $16$ $6$
32
The quadratic equation $x^{2}+bx+c=0$ has two roots $4a$ and $3a$, where a is an integer. Which of the following is a possible value of $b^{2}+c$? $3721$ $549$ $427$ $361$
33
A cyclist leaves $A$ at $10$ am and reaches $B$ at $11$ am. Starting from $10:01$ am, every minute a motor cycle leaves $A$ and moves towards $B$. Forty-five such motor cycles reach $B$ by $11$ am. All motor cycles have the same speed. If the cyclist had doubled his speed, how many motor cycles would have reached $B$ by the time the cyclist reached $B$? $23$ $20$ $15$ $22$
34
Two ants $A$ and $B$ start from a point $P$ on a circle at the same time, with $A$ moving clock-wise and $B$ moving anti-clockwise. They meet for the first time at $10:00$ am when $A$ has covered $60$% of the track. If $A$ returns to $P$ at $10:12$ am, then $B$ returns to $P$ at $10:25$am $10:18$am $10:27$am $10:45$am
35
John jogs on track A at $6$ kmph and Mary jogs on track $B$ at $7.5$ kmph. The total length of tracks $A$ and $B$ is $325$ metres. While John makes $9$ rounds of track $A$, Mary makes $5$ rounds of track $B$. In how many seconds will Mary make one round of track $A$?______
36
The salaries of Ramesh, Ganesh and Rajesh were in the ratio $6:5:7$ in $2010$, and in the ratio $3:4:3$ in $2015$. If Ramesh’s salary increased by $25$% during $2010-2015$, then the percentage increase in Rajesh’s salary during this period is closest to $8$ $7$ $9$ $10$
37
If x is a real number, then $\sqrt{\log _{e}\frac{4x-x^{2}}{3}}$ is a real number if and only if $1\leq x\leq 2$ $-3\leq x\leq 3$ $1\leq x\leq 3$ $-1\leq x\leq 3$
In an examination, Rama's score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by $6$. The revised scores of Anjali, Mohan, and Rama were in the ratio $11:10:3$. Then Anjali's score exceeded Rama's score by $24$ $26$ $32$ $35$