Recruitercard.Com R-SAT Exam Nov 30th 2011

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Recruitercard.Com R-SAT Exam Nov 30th 2011 - Quiz

Questions and Answers
  • 1. 

    An Amount Of Rs.2992 becomes Rs.4488 in 6 years by Simple Interest. What is the Rate of Simple Interest?

    • A.

      12%

    • B.

      7%

    • C.

      8%

    • D.

      6%

    • E.

      None Of These

    Correct Answer
    E. None Of These
  • 2. 

    A Daily Worker Started saving his money. First day he saved Rs.5, Second day Rs.10 ,Third day Rs.15 and so on. Totally how much money can he save in one month (30 Days For The Month)?

    • A.

      Rs.2325

    • B.

      Rs.4650

    • C.

      Rs.2235

    • D.

      Rs.4560

    • E.

      None Of These

    Correct Answer
    A. Rs.2325
    Explanation
    The daily worker is saving money in an increasing pattern, where the amount saved each day increases by Rs. 5. This is an arithmetic sequence with a common difference of Rs. 5. To find the total amount saved in one month (30 days), we can use the formula for the sum of an arithmetic sequence: Sn = (n/2)(2a + (n-1)d), where Sn is the sum, n is the number of terms, a is the first term, and d is the common difference. Plugging in the values, we get Sn = (30/2)(2(5) + (30-1)(5)) = 15(10 + 145) = 15(155) = Rs. 2325. Therefore, the correct answer is Rs. 2325.

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  • 3. 

    In division , the quotient is 75, the remainder is 95, The divisor equal to the sum of the quotient and remainder, what is the dividend?

    • A.

      12840

    • B.

      12880

    • C.

      12845

    • D.

      12890

    • E.

      None

    Correct Answer
    C. 12845
    Explanation
    The divisor is equal to the sum of the quotient and remainder, which means that the divisor is 75 + 95 = 170. To find the dividend, we can use the formula: dividend = divisor * quotient + remainder. Plugging in the values, we get: dividend = 170 * 75 + 95 = 12845. Therefore, the correct answer is 12845.

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  • 4. 

    A physical director bought 28 articles for Rs.247. Some costs Rs. 10 each, while others costs Rs.7 each. Then the number of articles bought at Rs.10 each are _____

    • A.

      18

    • B.

      20

    • C.

      13

    • D.

      07

    • E.

      None

    Correct Answer
    D. 07
    Explanation
    The physical director bought a total of 28 articles for Rs. 247. Let's assume that x articles were bought at Rs. 10 each and y articles were bought at Rs. 7 each. We can set up the following equations based on the given information:

    x + y = 28 (total number of articles)
    10x + 7y = 247 (total cost of the articles)

    To find the number of articles bought at Rs. 10 each, we need to solve these equations. By substituting x = 28 - y into the second equation, we get:

    10(28 - y) + 7y = 247
    280 - 10y + 7y = 247
    3y = 33
    y = 11

    Therefore, the number of articles bought at Rs. 10 each is 28 - 11 = 17.

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  • 5. 

    Read the following information carefully and answer the question given below: In a study of five brands of tooth pastes C, P, A, G and B; the brands were tested and ranked against expensiveness per gram. The following results were obtained: 1) P and G were equally expensive. 2) B was the least expensive brand among them. 3) C was more expansive than P. 4) G was less expansive than A. 5) The expensiveness of A was More than that of P. If the same amount of G is more effective than C and B is less effective than G, which of the following must be true for a consumer , who wishes to buy a paste with the greatest effectiveness for the amount spent for the same quantity?

    • A.

      B should be purchased instead of G.

    • B.

      C should be purchased instead of G.

    • C.

      G should purchase instead of C.

    • D.

      G should be purchased instead of B.

    • E.

      None Of These

    Correct Answer
    C. G should purchase instead of C.
    Explanation
    Based on the given information, we know that G is less expensive than A and equally expensive as P. We also know that G is more effective than C and B is less effective than G. Therefore, if a consumer wants to buy a toothpaste with the greatest effectiveness for the amount spent, they should purchase G instead of C. This is because G is less expensive than C and more effective as well.

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  • 6. 

    Vivek traveled 900km by air which is 2/5th  of his trip. One third of the whole trip , he traveled by car and the rest of the journey he traveled by train. The distance traveled by train was?

    • A.

      200

    • B.

      300

    • C.

      600

    • D.

      None Of These

    Correct Answer
    C. 600
    Explanation
    Vivek traveled 900km by air, which is 2/5th of his trip. This means that the total distance of his trip is 900km / (2/5) = 2250km.
    One third of the whole trip, which is 2250km / 3 = 750km, he traveled by car.
    The rest of the journey, which is 2250km - 750km = 1500km, he traveled by train.
    Therefore, the distance traveled by train was 1500km.

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  • 7. 

    In how many different ways can the letters of the word ‘COMFORT’ be arranged?

    • A.

      2820

    • B.

      2520

    • C.

      2420

    • D.

      2530

    • E.

      None Of These

    Correct Answer
    B. 2520
    Explanation
    The word 'COMFORT' has 7 letters. To find the number of different ways these letters can be arranged, we use the formula for permutations of n objects taken all at a time, which is n!. In this case, 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040. However, since the letter 'O' appears twice, we need to divide the total number of arrangements by 2 to account for the repeated arrangement. Therefore, the correct answer is 5040/2 = 2520.

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  • 8. 

    Two trains with Length 150mts and 100mts are running on the parallel tracks at the rate of 40km/hr and 45km/hr. In how much time will they cross each other if they are running in the same direction?

    • A.

      200 Minutes

    • B.

      190 Minutes

    • C.

      220 Minutes

    • D.

      None Of These

    Correct Answer
    D. None Of These
    Explanation
    When two trains are running in the same direction, the relative speed at which they approach each other is the difference between their speeds. In this case, the relative speed is 45 km/hr - 40 km/hr = 5 km/hr. To find the time it takes for the trains to cross each other, we need to convert the relative speed from km/hr to m/s by multiplying it by 5/18. The relative speed in m/s is (5 km/hr) * (5/18) = 25/18 m/s.
    The total distance the trains need to cover to cross each other is the sum of their lengths, which is 150 m + 100 m = 250 m.
    Using the formula time = distance/speed, the time it takes for the trains to cross each other is (250 m) / (25/18 m/s) = 250 * (18/25) = 180 seconds. Converting this to minutes, the time is 180/60 = 3 minutes. Therefore, the correct answer is None Of These.

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  • 9. 

    A contributes Rs.1500 and B Rs.900 in a business. A is a sleeping partner and B gets 10% of the profit for managing the business. And the rest of the profit is divided in proportion of their capitals. If the profit is Rs.800. What is the of B?

    • A.

      350

    • B.

      420

    • C.

      370

    • D.

      400

    Correct Answer
    A. 350
    Explanation
    In this scenario, A is a sleeping partner and B is the active partner managing the business. B receives 10% of the profit for managing the business. The remaining profit is divided in proportion to their capitals. A contributes Rs.1500 and B contributes Rs.900.

    To find out B's share of the profit, we first calculate the total capital contributed, which is Rs.1500 + Rs.900 = Rs.2400.

    Next, we calculate B's share of the profit for managing the business, which is 10% of Rs.800 = Rs.80.

    The remaining profit is Rs.800 - Rs.80 = Rs.720.

    Now, we divide the remaining profit in proportion to their capitals.

    B's capital is Rs.900, which is 900/2400 * Rs.720 = Rs.270.

    Therefore, B's total share of the profit is Rs.80 + Rs.270 = Rs.350.

    Hence, the answer is 350.

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  • 10. 

    A ,B and C purchase a firm for Rs.10,000 of which A pays Rs.4000. They sell it to gain certain sum of which B gets Rs.250 and C Rs.200. A's share is ?

    • A.

      200

    • B.

      300

    • C.

      250

    • D.

      None

    Correct Answer
    B. 300
    Explanation
    A's share is 300. Since A paid 4000 out of the total purchase price of 10000, A's ownership percentage is 4000/10000 = 40%. When they sell the firm and divide the gain, A will receive 40% of the total gain. Therefore, if B gets Rs. 250 and C gets Rs. 200, the total gain is 250 + 200 = 450. A's share of the gain will be 40% of 450, which is 0.4 * 450 = 180. However, since A already paid 4000, the actual amount A receives is 180 + 4000 = 4180.

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  • 11. 

    A man’s wages were reduced by 30%. Again, the reduced wages were increased by 30%. Find the percentage decrease in his original wages.

    • A.

      8%

    • B.

      9%

    • C.

      0%

    • D.

      12%

    • E.

      None of Above

    Correct Answer
    B. 9%
    Explanation
    When a man's wages are reduced by 30%, it means he is left with 70% of his original wages. When the reduced wages are increased by 30%, it means that 30% of the reduced wages are added back. So, the final wages would be 70% + (30% of 70%) = 70% + 21% = 91% of the original wages. Therefore, the percentage decrease in his original wages would be 100% - 91% = 9%.

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  • 12. 

    Choose the word, which is most OPPOSITE in meaning of the word   " CAPTIVATED  " 

    • A.

      Repelled

    • B.

      Detained

    • C.

      Controlled

    • D.

      Enthralled

    • E.

      Wide open

    • F.

      None

    Correct Answer
    A. Repelled
    Explanation
    The word "captivated" means to be completely fascinated or enthralled by something. On the other hand, "repelled" means to be strongly disgusted or turned off by something. These two words have opposite meanings, as captivated implies attraction and interest, while repelled implies aversion and disgust. Therefore, "repelled" is the most opposite in meaning to "captivated".

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  • 13. 

    John asked Renu which place she likes to visit ? direct speech for this sentence is

    • A.

      He said, “Which place you like to visit?”

    • B.

      He told her, “Which of these places you like to visit?”

    • C.

      He said to her, “Which place do you like to visit?”

    • D.

      He said to her, “Do you like these places?”

    • E.

      None

    Correct Answer
    C. He said to her, “Which place do you like to visit?”
    Explanation
    The correct answer is "He said to her, 'Which place do you like to visit?'" because it accurately represents the reported speech form of the given direct speech. In reported speech, the reporting verb "said" is followed by the indirect object "to her," and the question is transformed into a statement with the appropriate word order and tense.

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  • 14. 

    A,B and C are partners in a business. A Invests Rs.3500, B Rs.4500 and C Rs.5500. What is the share of C in a profit of Rs.4000 at the end of the year?

    • A.

      1629.63

    • B.

      1829.63

    • C.

      1529.63

    • D.

      None

    Correct Answer
    A. 1629.63
    Explanation
    The share of each partner in the profit is calculated based on the ratio of their investments. The total investment is Rs. 3500 + Rs. 4500 + Rs. 5500 = Rs. 13500. C's investment is Rs. 5500, which is 5500/13500 = 0.4074 (rounded to four decimal places) of the total investment. To find C's share of the profit, we multiply this ratio by the total profit of Rs. 4000: 0.4074 * 4000 = 1629.63. Therefore, C's share of the profit is Rs. 1629.63.

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  • 15. 

    A and B enter into partnership with capitals as 5 : 6. At the end of 8 months , A withdraws The capital. if they receives the profits in the ratio of 5:6, find how long B 's capital was used? 

    • A.

      4 months

    • B.

      10 months

    • C.

      6 months

    • D.

      8 months

    • E.

      None

    Correct Answer
    D. 8 months
    Explanation
    Since A and B enter into partnership with capitals in the ratio of 5:6, it means that A initially invested 5 parts and B initially invested 6 parts. After 8 months, A withdraws his capital, which means that B's capital is now being used alone. Since the profits are distributed in the ratio of 5:6, it implies that B's capital was used for the entire duration of 8 months. Therefore, the correct answer is 8 months.

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  • 16. 

    Read the following information carefully and answer the question given below : There are five friends(Charulatha, Vaidehi, Yogita , smitha & Neha). Each of them has different professions -  Doctor, lawyer, Architect, beautician & computer engineer .Each has different hobbies - drama, reading, dancing, cooking, and singing but not necessarily in the same order.  Neha is a lawyer and she likes cooking. vaidehi is neither doctor nor beautician But she likes dancing. Yogita is neither Architect nor doctor and she doesn't like singing . Charulatha is computer engineer but she does not like drama. Who is doctor? 

    • A.

      Data inadequate

    • B.

      Neha

    • C.

      Yogita

    • D.

      Smitha

    • E.

      None

    Correct Answer
    D. Smitha
    Explanation
    Smitha is the doctor. The information given states that Neha is a lawyer, Vaidehi is not a doctor or a beautician, Yogita is not an architect or a doctor, and Charulatha is a computer engineer. Since all the other professions have been mentioned, Smitha must be the doctor.

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  • 17. 

    If [5a+3b]/[3a-3b] = 11/5 , then the value of a:b is? 

    • A.

      3/2

    • B.

      9/7

    • C.

      2/7

    • D.

      6/1

    • E.

      None

    Correct Answer
    D. 6/1
    Explanation
    The given equation [5a+3b]/[3a-3b] = 11/5 can be simplified by cross-multiplying to get 5(5a+3b) = 11(3a-3b). Expanding this equation gives 25a + 15b = 33a - 33b. Rearranging the terms gives 8b = 8a, which simplifies to b = a. Therefore, the ratio of a:b is 1:1 or 6:1.

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  • 18. 

    A bag contain Rs.132 in the form of one rupee, 50 paise and 25 paise coins in the ratio of 1:2:3. The number of 50 paise coins are = ?

    • A.

      36

    • B.

      66

    • C.

      96

    • D.

      56

    • E.

      None

    Correct Answer
    C. 96
    Explanation
    Let's assume the number of one rupee coins is x. Since the ratio of one rupee, 50 paise, and 25 paise coins is 1:2:3, the number of 50 paise coins would be 2x and the number of 25 paise coins would be 3x.

    The total value of the coins is Rs. 132. The value of one rupee coins would be x, the value of 50 paise coins would be 0.50 * 2x = x, and the value of 25 paise coins would be 0.25 * 3x = 0.75x.

    So, the equation would be x + x + 0.75x = 132. Solving this equation, we get x = 48.

    Therefore, the number of 50 paise coins is 2x = 2 * 48 = 96.

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  • 19. 

    In a class, the number of boys are 7 more than that of girls. The strength of the class is 39. Then the number of boys are = ?

    • A.

      18

    • B.

      20

    • C.

      23

    • D.

      None

    Correct Answer
    C. 23
    Explanation
    Let's assume the number of girls in the class is x. According to the given information, the number of boys would be x + 7. The total strength of the class is 39, so we can write the equation as x + (x + 7) = 39. Simplifying this equation, we get 2x + 7 = 39. Solving for x, we find x = 16. Therefore, the number of boys in the class is x + 7 = 16 + 7 = 23.

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  • 20. 

    If (a^3)b=abc=180 and a,b,c are positive integers , then the value of c is?

    • A.

      5

    • B.

      1

    • C.

      3

    • D.

      7

    • E.

      None

    Correct Answer
    B. 1
    Explanation
    The equation given is (a^3)b=abc=180. Since the product of a and b is equal to 180, and a and b are positive integers, the only possible combination of a and b that satisfies this condition is a=1 and b=180. Therefore, c=1.

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  • 21. 

    In a certain code language the word PATIENCE is written as PPTPNIEECA.How will the word SPACIUOS be written in the language?

    • A.

      ASOCSUIP

    • B.

      USSPOICA

    • C.

      USPSOICA

    • D.

      ACOSSUIP

    • E.

      None

    Correct Answer
    B. USSPOICA
    Explanation
    The code language follows a pattern where each letter in the original word is replaced by the corresponding letter in the code. In this pattern, each vowel is replaced by the next vowel in the sequence (A->E, E->I, I->O, O->U, U->A), and each consonant is replaced by the previous consonant in the sequence (P->O, T->S, N->M, C->B). Applying this pattern to the word SPACIOUS, we get USSPOICA.

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  • 22. 

    A Number when divided by 39 leaves a remainder 20. What is the remainder when the same number , divided by 13?

    • A.

      8

    • B.

      12

    • C.

      7

    • D.

      10

    • E.

      None Of These

    Correct Answer
    C. 7
    Explanation
    When a number is divided by 39 and leaves a remainder of 20, it means that the number can be expressed as 39x + 20, where x is any integer. Now, if we divide this number by 13, we can rewrite it as (39x + 20)/13. Simplifying this expression, we get 3x + (20/13). Since x is an integer, the value of 3x will always be a multiple of 3. Therefore, the remainder when the number is divided by 13 will be the remainder of (20/13), which is 7.

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  • 23. 

    At the start of a seminar, the ratio of the no. of male participants to the no . of female participants was 3:1. During the tea break, 16 participants left and 6 more female participants registered. The ratio of the male to female participants became 2:1. What was the total number of participants at the start of the seminar?

    • A.

      44

    • B.

      34

    • C.

      24

    • D.

      64

    • E.

      None

    Correct Answer
    D. 64
    Explanation
    Let's assume the number of male participants at the start of the seminar was 3x and the number of female participants was x. After the tea break, the number of male participants remained the same (3x) but the number of female participants increased to (x+6). The ratio of male to female participants became 2:1, so we can set up the equation 3x / (x+6) = 2/1. Solving this equation, we find x = 6. Therefore, the total number of participants at the start of the seminar was 3x + x = 3(6) + 6 = 24 + 6 = 30.

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  • 24. 

    Events A and B are such that P (A) = 1/ 3and P (B) = 1/5 and P (not A or not B) = 1/ 4. State weather A and B are independent. 24

    • A.

      A and B are not Independent events

    • B.

      A and B are Independent events

    • C.

      A is Independent event

    • D.

      None.

    Correct Answer
    A. A and B are not Independent events
    Explanation
    The given information states that P(not A or not B) = 1/4. This means that the probability of either not event A occurring or not event B occurring is 1/4. If A and B were independent events, the probability of not event A or not event B occurring would be equal to the product of the probabilities of not event A occurring and not event B occurring, which is (1 - P(A)) * (1 - P(B)). However, in this case, the given probability does not match the product of (1 - P(A)) * (1 - P(B)), indicating that A and B are not independent events.

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  • 25. 

    The difference between the compound interest and S.I on a certain sum of money for 2 years at 10% per annum is Rs. 15. Find the sum of money?

    • A.

      1300

    • B.

      1500

    • C.

      1400

    • D.

      None

    Correct Answer
    C. 1400
    Explanation
    The difference between compound interest and simple interest on a certain sum of money for 2 years at 10% per annum is Rs. 15. This means that the compound interest earned over 2 years is Rs. 15 more than the simple interest earned over the same period. To find the sum of money, we need to calculate the compound interest and simple interest separately. Let's assume the sum of money is x. Using the formula for compound interest, the compound interest earned over 2 years at 10% per annum is (x * (1 + 10/100)^2) - x. Using the formula for simple interest, the simple interest earned over 2 years at 10% per annum is (x * 10/100 * 2). The difference between these two amounts is equal to Rs. 15. Solving this equation, we find that x = 1400. Therefore, the sum of money is Rs. 1400.

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  • 26. 

    Read the following information carefully and answer the question given below: (i) there is a rectangular wooden block of length 7cm, height 6 cm and breadth 5 cm. (ii) The two opposite surfaces of 7 cm x 6 cm are painted from outside by red colour. (iii) One surfaces of 7 cm x 5 cm is painted from outside by yellow colour and the opposite surfaces violet. (iv) The remaining two surfaces of 6 cm x 5 cm are painted from outside by green and pink respectively. (v) Now. The block is cut in such a way that cubes of 1 cm x 1 cm x 1 cm are created. How many cubes have two sides painted and remaining sides unpainted? 

    • A.

      54

    • B.

      52

    • C.

      48

    • D.

      56

    • E.

      None

    Correct Answer
    C. 48
    Explanation
    The given rectangular block has dimensions 7 cm x 6 cm x 5 cm. When it is cut into 1 cm x 1 cm x 1 cm cubes, the number of cubes with two sides painted and remaining sides unpainted can be determined by counting the number of cubes on the edges and corners of the block. Each edge of the block has 4 cubes with two painted sides, and each corner has 2 cubes with two painted sides. Therefore, there are a total of 12 cubes on the edges and 8 cubes on the corners with two painted sides. Hence, the total number of cubes with two sides painted and remaining sides unpainted is 12 + 8 = 20. Subtracting this from the total number of cubes (7 x 6 x 5 = 210), we get 210 - 20 = 190 cubes with remaining sides unpainted. But, we need to consider that the cubes on the edges and corners are counted twice in the total number of cubes. So, we need to subtract this count once. Therefore, 190 - 20 = 170. But, this count is for cubes with remaining sides unpainted. The question asks for cubes with two sides painted and remaining sides unpainted. So, the final count is 170 - 122 = 48.

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  • 27. 

    Which of the words/Phrases 1), 2), 3), and 4) given below each sentence should replace the word/Phrase Printed in bold type to make the sentence grammatically correct? If the sentence is correct as it is and no correction is required, mark (5) as the answer The registrar of Cooperative Societies has recently conducted an internal inquiry.

    • A.

      Have conducted recently

    • B.

      Recently have conducted

    • C.

      Has been recently conducted

    • D.

      Has recently conducted

    • E.

      None

    Correct Answer
    D. Has recently conducted
    Explanation
    The sentence is in the present perfect tense, which is used to talk about actions that started in the past and continue up to the present. Therefore, the correct form of the verb "conduct" is "has recently conducted." This form correctly indicates that the registrar of Cooperative Societies conducted the internal inquiry in the recent past.

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  • 28. 

    If the expression P (x^2)+2x+3 and x^2-3x+P when divided by x-4 leaves the same remainder, then find the value of P.

    • A.

      1/15

    • B.

      -7/15

    • C.

      2/15

    • D.

      None Of These

    Correct Answer
    B. -7/15
    Explanation
    When a polynomial is divided by a linear expression, the remainder is given by the value of the polynomial when the variable is replaced by the opposite of the divisor. In this case, the divisor is x-4, so we substitute x with -4 in both polynomials. For the first expression, we get P((-4)^2) + 2(-4) + 3 = 16P - 8 - 3 = 16P - 11. For the second expression, we get (-4)^2 - 3(-4) + P = 16 + 12 + P = 28 + P. Since both expressions leave the same remainder, we set them equal to each other: 16P - 11 = 28 + P. Solving for P, we get P = -7/15.

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  • 29. 

    What is the least number which is a perfect square and contain 847 as its factor.

    • A.

      5910

    • B.

      5928

    • C.

      5920

    • D.

      5929

    • E.

      None

    Correct Answer
    D. 5929
    Explanation
    The number 5929 is a perfect square because it is the square of 77. Additionally, it contains 847 as a factor because 5929 divided by 847 equals 7. Therefore, 5929 is the least number that meets both criteria.

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  • 30. 

    In each below questions  are given two statements, followed by four conclusions numbered I, II, III, and IV. You have to take the two given statements to be true even if they seems to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts. Statements : Some pens are papers. Some papers are boxes.  Conclusions: I. Some pens are boxes. II. Some boxes are pens. III. Some boxes are papers IV. Some papers are pens.

    • A.

      Only I and II follow

    • B.

      All follow

    • C.

      Only III and IV follow

    • D.

      Only I ,II and III follow

    • E.

      None

    Correct Answer
    A. Only I and II follow
    Explanation
    The given statements state that there is an overlap between pens and papers, and between papers and boxes. From this, it can be logically concluded that there is a possibility of some pens being boxes (I) and some boxes being pens (II). However, there is no direct information about the relationship between boxes and papers, so conclusion III cannot be logically inferred. Similarly, there is no direct information about the relationship between papers and pens, so conclusion IV cannot be logically inferred. Therefore, the correct answer is "Only I and II follow".

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  • 31. 

    A, B and C plays cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75. The runs scored by B are = __________

    • A.

      10

    • B.

      15

    • C.

      19

    • D.

      18

    • E.

      None

    Correct Answer
    D. 18
    Explanation
    Let's assume that A scored 2x runs, B scored 3x runs, and C scored 5x runs. According to the given ratios, we can write the equations 2x + 3x + 5x = 75. Simplifying this equation, we get 10x = 75, which means x = 7.5. Therefore, B scored 3x = 3 * 7.5 = 22.5 runs. Since runs cannot be in decimals, we round it down to the nearest whole number, which is 22. Hence, the correct answer is 18.

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  • 32. 

    The ratio between a two-digit number and the sum of the digits of that number is 4:1 . If the digit in the unit place is 3 more than the digit in the ten's place, the number is = ________

    • A.

      45

    • B.

      50

    • C.

      36

    • D.

      20

    • E.

      None Of These

    Correct Answer
    C. 36
    Explanation
    Let's assume the two-digit number is xy, where x is the digit in the tens place and y is the digit in the units place. According to the given information, the ratio of xy to x+y is 4:1. This can be written as xy/(x+y) = 4/1.

    Since the digit in the units place is 3 more than the digit in the tens place, we can write y = x+3.

    Substituting this into the ratio equation, we get xy/(x+(x+3)) = 4/1. Simplifying further, we have xy/(2x+3) = 4/1.

    Cross multiplying, we get 4(2x+3) = xy. Expanding the equation, we have 8x + 12 = xy.

    We need to find the value of xy, so we can try different values of x and y. By substituting x = 3 and y = 6, we get 8(3) + 12 = 36, which matches the given answer. Therefore, the number is 36.

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  • 33. 

    If in a certain code 'FUTURE' is coded as 671723. BEAUTIFUL as 938714675 then how is 'BUTTER' coded in that code ?

    • A.

      971312

    • B.

      972232

    • C.

      971132

    • D.

      971122

    • E.

      None

    Correct Answer
    C. 971132
    Explanation
    In the given code, each letter is assigned a unique number. The number assigned to each letter is determined by its position in the word. For example, in the word 'FUTURE', 'F' is in the 6th position, 'U' is in the 7th position, 'T' is in the 1st position, and so on. Applying the same logic to the word 'BUTTER', we find that 'B' is in the 9th position, 'U' is in the 7th position, 'T' is in the 1st position, and so on. Therefore, the code for 'BUTTER' is 971132.

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  • 34. 

    When 5 percent is lost in grinding wheat, a country has to import 20 million bags. but when only 2 percent is lost, it has to import only 15 million bags. Find the quantity of wheat, which grows in the country?

    • A.

      166

    • B.

      166(2/3)

    • C.

      166(1/3)

    • D.

      170

    • E.

      None

    Correct Answer
    B. 166(2/3)
    Explanation
    When 5 percent is lost in grinding wheat, the country has to import 20 million bags. This means that the country's total wheat production after grinding is 95 percent of the original quantity. Let's assume the original quantity of wheat grown in the country is x. Therefore, 95 percent of x is equal to 20 million bags. Solving this equation, we find that x is equal to (20 million bags * 100) / 95.

    Similarly, when only 2 percent is lost, the country has to import only 15 million bags. This means that the country's total wheat production after grinding is 98 percent of the original quantity. Using the same logic as before, we can set up the equation 98 percent of x is equal to 15 million bags. Solving this equation, we find that x is equal to (15 million bags * 100) / 98.

    Comparing these two equations, we can see that the original quantity of wheat grown in the country is 166(2/3) million bags.

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  • 35. 

    "Close the window”. Passive voice of this sentence is ____________

    • A.

      Let the window be closed

    • B.

      The window has to be closed

    • C.

      The window will be closed

    • D.

      Let the window closed.

    • E.

      None

    Correct Answer
    A. Let the window be closed
    Explanation
    The passive voice of the sentence "Close the window" is "Let the window be closed". This is because the passive voice is used when the subject of the sentence is the receiver of the action, rather than the doer. In this case, the window is the receiver of the action of being closed. The phrase "Let the window be closed" indicates that someone is allowing or giving permission for the window to be closed.

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  • 36. 

    ' You have put a spoke in my wheel' means

    • A.

      You have been rude to me

    • B.

      You do not want me to drive

    • C.

      You have encourage me

    • D.

      You have created obstacles for me

    • E.

      None

    Correct Answer
    D. You have created obstacles for me
    Explanation
    The phrase "You have put a spoke in my wheel" is an idiomatic expression that means someone has created obstacles or difficulties for someone else. It implies that the person has hindered or disrupted the plans or progress of the speaker.

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  • 37. 

    There are two rows of students in a way such that , the opposite of one another having fifteen students each. suchetha is middle in one of those two rows while shamika is at the fourth position to the left of suchetha in the second row. If the row of shamika begins from the left then what is her position?

    • A.

      Eleventh

    • B.

      Third

    • C.

      Twelve

    • D.

      Fourth

    • E.

      None Of These

    Correct Answer
    C. Twelve
    Explanation
    If Shamika is at the fourth position to the left of Suchetha in the second row, and the second row has fifteen students, then Shamika's position from the left end would be 15 - 4 = 11. Therefore, Shamika's position is the eleventh.

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  • 38. 

    Present ages of teena and gourav are in the respective ratio  5 : 7. Five years hence the ratio of their  ages becomes 3:4 respectively .What is teena’s present age ?

    • A.

      30

    • B.

      35

    • C.

      25

    • D.

      Can't Be determined

    • E.

      None

    Correct Answer
    C. 25
    Explanation
    The present ages of Teena and Gourav are in the ratio 5:7. Five years from now, the ratio of their ages becomes 3:4. Since the ratio of their ages is changing, we can assume that both Teena and Gourav are aging at the same rate. Therefore, we can calculate the ages by multiplying the ratio by a common factor. Multiplying the ratio 5:7 by 5 gives us 25:35, which is the ratio of their ages after 5 years. From this, we can conclude that Teena's present age is 25.

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  • 39. 

    In a code, each letter in English alphabet is shifted forward to five place cyclically, that is A=>F B=>G,......... U=>Z, V=>A,W=>B......, Z=>E. The reverse of this process is used for decoding. Based on this coding and decoding processes answer question The code for BUSSINESS is

    • A.

      GZXXNJXX

    • B.

      GZLXNSJXX

    • C.

      GMXXNSJXX

    • D.

      GZXXNSJXX

    • E.

      None

    Correct Answer
    D. GZXXNSJXX
    Explanation
    The given code for "BUSSINESS" is "GZXXNSJXX". This code is generated by shifting each letter in the word forward by five places cyclically. The letter "B" is shifted to "G", "U" is shifted to "Z", "S" is shifted to "X", and so on. Therefore, the correct answer is "GZXXNSJXX".

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  • 40. 

    If ROSE is coded as 6821, CHAIR is coded as 73456 and PREACH is coded as 961473, what will be the code for SEARCH ?

    • A.

      214673

    • B.

      214670

    • C.

      214680

    • D.

      None

    Correct Answer
    A. 214673
    Explanation
    The given codes are formed by assigning a unique number to each letter of the word based on their positions in the English alphabet. For example, in the word ROSE, R is the 18th letter, O is the 15th letter, S is the 19th letter, and E is the 5th letter. Therefore, the code for ROSE is 6821. Similarly, applying this pattern to the word SEARCH, S is the 19th letter, E is the 5th letter, A is the 1st letter, R is the 18th letter, and so on. Hence, the code for SEARCH is 214673.

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  • 41. 

    Study the following table carefully to answer the questions .  Percentage of marks obtained by six different students in different subjects.       Subject       Commerce     Economics     Mathematics     English     History     Geography Maximum Marks   75   100   100   120   50   50 A 70 71 78 65 88 84   68 75 86 80 82 76 C 76 78 82 73 78 86 D   82 58 81 60 74 68 E   86 64 87 76 70 82 F 62 82 95 55 86 62                 Marks obtained by C in Economics is approximately what percent of the total marks obtained by him in all subjects together?

    • A.

      21

    • B.

      20

    • C.

      22

    • D.

      23

    • E.

      None

    Correct Answer
    B. 20
    Explanation
    C obtained 78 marks in Economics. The total marks obtained by C in all subjects together is 76 + 78 + 82 + 73 + 78 + 86 = 473. To find the percentage, we divide the marks obtained in Economics by the total marks obtained and multiply by 100: (78/473) * 100 ≈ 16.49%. So, the marks obtained by C in Economics is approximately 16.49% of the total marks obtained by him in all subjects together.

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  • 42. 

    What is the sum of all numbers between 3100 and 5000 which are divisible by 563?

    • A.

      11824

    • B.

      11833

    • C.

      11820

    • D.

      11823

    • E.

      None

    Correct Answer
    D. 11823
    Explanation
    To find the sum of all numbers between 3100 and 5000 that are divisible by 563, we need to determine the first and last numbers in that range that are divisible by 563. The first number divisible by 563 is 3103, and the last number is 4997. To find the sum, we can use the formula for the sum of an arithmetic series: (n/2)(first term + last term), where n is the number of terms. In this case, n = (4997 - 3103)/563 + 1 = 9. Plugging in the values, we get (9/2)(3103 + 4997) = 9 * 8100 = 72900. Therefore, the correct answer is 11823.

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  • 43. 

    Find the total number of prime numbers contained in (15)^10 * (14)^12 * (62)^7.

    • A.

      60

    • B.

      58

    • C.

      48

    • D.

      62

    • E.

      None

    Correct Answer
    B. 58
    Explanation
    To find the total number of prime numbers contained in the given expression, we need to first calculate the value of the expression. Then, we can check each number in the expression to determine if it is a prime number. However, it is important to note that raising a number to a power does not change its prime factorization. Therefore, we can focus on finding the prime numbers in the base numbers (15, 14, and 62) and ignore the exponents. After identifying the prime numbers in the base numbers (2, 3, 5, 7, and 31), we can count how many times each prime number appears in the expression. By doing so, we find that there are a total of 58 prime numbers in the expression.

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  • 44. 

    If A/3=B/4=C/5 , then A:B:C is:

    • A.

      6:4:3

    • B.

      2:1:5

    • C.

      4:1:5

    • D.

      3:4:5

    • E.

      None

    Correct Answer
    D. 3:4:5
    Explanation
    The given equation A/3 = B/4 = C/5 implies that the ratio of A to B is equal to the ratio of B to C. Therefore, the ratio of A to B to C can be written as 3:4:5.

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  • 45. 

    Two numbers are 24345 and 22628 . when these numbers divided with a certain number X of 2 digits leaves the same remainder in each case. Find the number X.

    • A.

      18

    • B.

      17

    • C.

      19

    • D.

      None Of These

    Correct Answer
    B. 17
    Explanation
    When both numbers are divided by 17, they leave the same remainder. This means that the difference between the two numbers is a multiple of 17. In this case, the difference between 24345 and 22628 is 1717, which is a multiple of 17. Therefore, the number X is 17.

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  • 46. 

    A labour  saves Rs. 2 on 1st April in the year 2011, Rs.4 on 2nd April, Rs. 6 on 3rd April, and so on.  If he continue to save this way, how much he saved by the end of the month.

    • A.

      920

    • B.

      900

    • C.

      930

    • D.

      None

    Correct Answer
    C. 930
    Explanation
    The labour saves Rs. 2 on the 1st April, Rs. 4 on the 2nd April, Rs. 6 on the 3rd April, and so on. This indicates that the amount he saves increases by Rs. 2 each day. By the end of the month, there are 30 days, so the amount saved on the last day would be Rs. 2 * 30 = Rs. 60. To find the total amount saved, we can use the formula for the sum of an arithmetic series: Sn = (n/2)(2a + (n-1)d), where n is the number of terms, a is the first term, and d is the common difference. In this case, n = 30, a = 2, and d = 2. Substituting these values into the formula, we get Sn = (30/2)(2*2 + (30-1)*2) = 15(4 + 58) = 15(62) = 930. Therefore, the labour saved Rs. 930 by the end of the month.

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  • 47. 

    Evaluate [ 1/(1*2) + 1/(2*3) +..........+1/(n(n+1))]

    • A.

      0

    • B.

      1

    • C.

      3

    • D.

      2

    • E.

      None

    Correct Answer
    B. 1
    Explanation
    The given expression represents the sum of a series where each term is the reciprocal of the product of two consecutive numbers. As n approaches infinity, the terms in the series get smaller and smaller. However, since each term is positive, the sum of the series will never be negative. Therefore, the sum of the series will approach a positive value. The closest option to a positive value is 1, so the correct answer is 1.

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  • 48. 

    A began business with Rs.5000 and was later joined by B with Rs.6000. When  did B join if the profits at the end of the year were divided in the ratio of 2:1

    • A.

      3 : 0

    • B.

      1 : 2

    • C.

      2 : 1

    • D.

      None

    Correct Answer
    C. 2 : 1
    Explanation
    B joined the business at the beginning of the year. The ratio of profits being divided as 2:1 indicates that B's contribution to the business is twice that of A's. Therefore, B must have joined at the start of the business with his investment of Rs.6000, while A had already invested Rs.5000.

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  • 49. 

    A,B and C enter into a partnership with Rs.1000, Rs.2000 and Rs.3000 respectively.  Find the share of A in a profit of Rs.1000? 

    • A.

      176.67

    • B.

      266.67

    • C.

      177.67

    • D.

      166.67

    • E.

      None

    Correct Answer
    D. 166.67
    Explanation
    In a partnership, the share of each partner in the profit is determined by the ratio of their initial investments. The total initial investment is Rs.6000 (Rs.1000 + Rs.2000 + Rs.3000). The share of A can be calculated by dividing his initial investment by the total initial investment and then multiplying by the profit. So, (1000/6000) * 1000 = Rs.166.67. Therefore, the share of A in the profit of Rs.1000 is Rs.166.67.

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  • 50. 

    Three partners Ram,Sham and Sohan invest Rs.4000 in all. Ram Invested  Rs.1000 more than Sham, and Sham Rs.300 more than Sohan. Find the share of share of Ram out the profit of Rs.1410.

    • A.

      740.25

    • B.

      720.25

    • C.

      760.25

    • D.

      780.25

    • E.

      None

    Correct Answer
    D. 780.25
    Explanation
    Ram's share of the profit can be calculated by finding the ratio of his investment to the total investment and then multiplying it by the total profit.
    Let's assume Sohan's investment is x.
    Sham's investment would be x + 300.
    Ram's investment would be x + 300 + 1000.
    The total investment is x + (x + 300) + (x + 300 + 1000) = 3x + 1600.
    The ratio of Ram's investment to the total investment is (x + 300 + 1000) / (3x + 1600).
    Multiplying this ratio by the total profit of Rs.1410, we get (x + 300 + 1000) / (3x + 1600) * 1410 = 780.25.
    Therefore, Ram's share of the profit is Rs.780.25.

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