1
If $9$ men working $7\frac{1}{2}$ hours a day can finish a work in $20$ days, then how many days will be taken by $12$ men working $6$ hours a day to finish the work, it being given that $3$ men of former type work as much as $2$ men of the latter type in the same time ? $12\frac{1}{2}$ $13$ $9\frac{1}{2}$ $11$
2
Due to a fall in the rate of interest from $13\%$ p.a. to $12\frac{1}{2}\%$ p.a., a money lender's yearly income diminishes by ₹ $104$. His capital is : ₹ $21, 400$ ₹ $20,800$ ₹ $22,300$ ₹ $24,000$
3
Ashok's age is $\left (\frac{1}{6} \right)^{th}$ of his father's age. The father's age will be twice of Kamal's age after $10$ years. If Kamal's eighth birthday was celebrated $2$ years before, what is Ashok's present age ? $24$ years $30$ years $\frac{20}{3}$ years None
4
The difference between simple interest and compound interest on a sum for $2$ years at $8\%$, when the interest is compounded annually is ₹ $16$. If the interest were compounded half-yearly, the difference in $2$ years would be nearly : ₹ $16$ ₹ $16.80$ ₹ $21.85$ ₹ $24.64$
5
A certain number consists of two digits whose sum is $9$. It the order of digits is reversed, the new number is $9$ less than the original number. The original number is : $45$ $36$ $54$ $63$
6
Which manifestation of the predications of General Theory of Relativity was experimentally validated Energy waves Procession of Mercury’s orbit Bending of light about a massive body Gravitational waves
7
Who showed that primes are in $P$. Maninder Aggarwal, N. Kayal and N. Saxena Donald Knuth Aho, Hopcroft and Ullman Tim Berners Lee
8
A man walks $10$ miles at an average rate of $2$ miles per hour and returns on a bicycle at an average rate of $10$ miles per hour. How long (to the nearest hour) does the entire trip take him? $4$ hours $5$ hours $6$ hours $7$ hours
9
What is the area of a semicircle with a diameter of $16$ inches? $32 \pi$ square inches $64 \pi$ square inches $128 \pi$ square inches $256 \pi$ square inches
Which of the following figures has the largest perimeter $(1 \text{ foot} = 12 \text{ inches})$ a square with a diagonal of $5$ feet a rectangle with sides of $3$ feet and $4$ feet an equilateral triangle with a side equal to $48$ inches a regular hexagon whose longest diagonal is $6$ feet
If $P$\left (x, y \right)$is any point on the line joining the points$A$\left (a, 0 \right)$ and $B$\left(0, b \right)$then the value of$bx+ay-ab$is :$1-102$0 votes 3 answers 12 In a swimming-pool$90$m by$40$m,$150$men take a dip. If the average displacement of water by a man is$8$cubic metres, what will be rise in water level ?$30$cm$33.33$cm$20.33$cm$25$cm 0 votes 1 answer 13 Find all the polynomials with real coefficients$P\left(x \right)$such that$P\left(x^{2}+x+1 \right)$divides$P\left(x^{3}-1 \right)$.$ax^{n}ax^{n+2}ax2ax$0 votes 1 answer 14 What will be area of the rhombus with equations of sides$ax \pmby \pm c$=$1$?$\frac{3c^{2}}{ab}$sq. units$\frac{4c^{2}}{ab}$sq. units$\frac{2c^{2}}{ab}$sq. units$\frac{c^{2}}{ab}$sq. units 0 votes 1 answer 15 A bag contains$12$balls of the two different colours out of which$x$are white. One ball is drawn at random. If$6$more white balls are put in a bag, the probability of drawing a white ball now will be doubled to that of previous probability of drawing a white ball. The value of$x$is :$4563$0 votes 1 answer 16 Arrange the four sentences in order so that they make a logically coherent paragraph. A. A wife may not be sure that what her husband is saying means the end . B. She has found that people's voices often get higher or shakier when they lie, and they are more likely to ... can be significant. D. She should listen closely, not only to what he says, but also to how he says it. ADCB ACDB ADBC ABCD 0 votes 1 answer 17 Sourabh borrows rs 25,00,000 at 12% compound interest from a bank and invests in shares. The investment gives him a return of 20% per annum and he repays rs 5,00,000 at the end of first year. How much does he make for himself after paying all the outstanding amount at the end of the second year? a 424000 b 356241.50 c 525000 d 484241.80 0 votes 1 answer 18 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 0 votes 1 answer 19 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?_____ 0 votes 1 answer 20 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?_____ 0 votes 1 answer 21 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?_______ 0 votes 1 answer 22 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 0 votes 1 answer 23 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 0 votes 1 answer 24 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}$0 votes 1 answer 25 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$1999$?$202350$Cannot be determined from the data 0 votes 1 answer 26 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$2000$?$056$Cannot be determined from the data 0 votes 1 answer 27 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$1999$?$44505564$0 votes 1 answer 28 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$2000$?$101622$Cannot be determined from the data 1 vote 1 answer 29 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 0 votes 1 answer 30 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?$22232124$0 votes 1 answer 31 Arrange the four sentences in order so that they make a logically coherent paragraph. A. Widely publicised tables of income levels of all countries indicate that when incomes are higher, the greater is the contribution made by the manufacturing industry. B. ... country must industrialise. D. Industrialisation is seen as the key to growth and a prerequisite for development CBAD DCBA DABC CABD 0 votes 1 answer 32 For the word given at the top of each table, match the dictionary definitions on the left (A, B, C, D) with their corresponding usage on the right (E, F, G, H). Out of the four possibilities given in the boxes below the table, select the one that has all the definitions and their usages correctly matched. EXCEED Dictionary ... C-E, D-G A-H, B-E, C-F, D-G A-G, B-F, C-E, D-H A-F, B-G, C-H, D-E 0 votes 0 answers 33 Arrange the words given below in a meaningful sequence. 1. District 2. Village 3. State 4. Town 5. City 2, 4, 1, 5, 3 2, 1, 4, 5, 3 5, 3, 2, 1, 4 2, 5, 3, 4, 1 1 vote 2 answers 34 In a certain$\text{STABILISE}$is written as$\text{UVCDKNKUG.}$How is$\text{ORGANISE}$written in that code?$\text{QTICPKUG}\text{QTICPKUH}\text{QTIBPKUG}\text{QTICPKUJ}$0 votes 1 answer 35 Let$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_____ 0 votes 1 answer 36 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}$1 vote 1 answer 37 A can contains a mixture of two liquids$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?$25102021$0 votes 1 answer 38 Find the odd word out from each of the following sets of four words. Taxi Cruise Amble Cab 1 vote 1 answer 39 If$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\$