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Instruction:
 Total number of questions : 20.
 Time alloted : 30 minutes.
 Each question carry 1 mark, no negative marks.
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1.  The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y ? 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Suppose commodity X will cost 40 paise more than Y after z years. Then, (4.20 + 0.40z)  (6.30 + 0.15z) = 0.40 0.25z = 0.40 + 2.10
X will cost 40 paise more than Y 10 years after 2001 i.e., 2011. Learn more problems on : Decimal Fraction Discuss about this problem : Discuss in Forum 
2.  There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is: 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Let the number of students in rooms A and B be x and y respectively. Then, x  10 = y + 10 x  y = 20 .... (i) and x + 20 = 2(y  20) x  2y = 60 .... (ii) Solving (i) and (ii) we get: x = 100 , y = 80. The required answer A = 100. Learn more problems on : Simplification Discuss about this problem : Discuss in Forum 
3.  If a  b = 3 and a^{2} + b^{2} = 29, find the value of ab. 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: 2ab = (a^{2} + b^{2})  (a  b)^{2} = 29  9 = 20 ab = 10. Learn more problems on : Simplification Discuss about this problem : Discuss in Forum 
4.  The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Let the numbers be x and y. Then, xy = 120 and x^{2} + y^{2} = 289. (x + y)^{2} = x^{2} + y^{2} + 2xy = 289 + (2 x 120) = 529 x + y = 529 = 23. Learn more problems on : Problems on Numbers Discuss about this problem : Discuss in Forum 
5.  The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Let A = 2k, B = 3k and C = 5k.
Learn more problems on : Ratio and Proportion Discuss about this problem : Discuss in Forum 
6.  A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew of his capital and B withdrew of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is: 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation:
= (12x + 21x) : (15x + 28x) = 33x :43x = 33 : 43.
Learn more problems on : Partnership Discuss about this problem : Discuss in Forum 
Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.  
7. 


Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: From I, II and III, we get P : Q : R = (120000 x 8) : (80000 x 12) : (x x 9). Since R's investment is not given, the above ratio cannot be give. Given data is inadequate. Learn more problems on : Partnership Discuss about this problem : Discuss in Forum 
8.  A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C? 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation:
Learn more problems on : Time and Work Discuss about this problem : Discuss in Forum 
9.  A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train? 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation:
Time = 26 sec. Let the length of the train be x metres.
x + 250 = 520 x = 270. Learn more problems on : Problems on Trains Discuss about this problem : Discuss in Forum 
10.  If log_{10} 2 = 0.3010, then log_{2} 10 is equal to: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation:
Learn more problems on : Logarithm Discuss about this problem : Discuss in Forum 
11.  An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is: 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: 100 cm is read as 102 cm. A_{1} = (100 x 100) cm^{2} and A_{2} (102 x 102) cm^{2}. (A_{2}  A_{1}) = [(102)^{2}  (100)^{2}] = (102 + 100) x (102  100) = 404 cm^{2}.
Learn more problems on : Area Discuss about this problem : Discuss in Forum 
12.  In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: 1 hectare = 10,000 m^{2} So, Area = (1.5 x 10000) m^{2} = 15000 m^{2}.
Learn more problems on : Volume and Surface Area Discuss about this problem : Discuss in Forum 
Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
 
13. 


Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Let each edge be a metres. Then, I. a^{2} = 64 a = 8 m Volume = (8 x 8 x 8) m^{3} = 512 m^{3}. Thus, I alone gives the answer. II. a = 8 m Volume = (8 x 8 x 8) m^{3} = 512 m^{3}. Thus, II alone gives the answer. Correct answer is (C). Learn more problems on : Volume and Surface Area Discuss about this problem : Discuss in Forum 
14.  The reflex angle between the hands of a clock at 10.25 is: 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation:
Learn more problems on : Clock Discuss about this problem : Discuss in Forum 
15.  At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions? 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: At 4 o'clock, the hands of the watch are 20 min. spaces apart. To be in opposite directions, they must be 30 min. spaces apart. Minute hand will have to gain 50 min. spaces. 55 min. spaces are gained in 60 min.
Learn more problems on : Clock Discuss about this problem : Discuss in Forum 
16.  A 12% stock yielding 10% is quoted at: 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: To earn Rs. 10, money invested = Rs. 100.
Market value of Rs. 100 stock = Rs. 120. Learn more problems on : Stocks and Shares Discuss about this problem : Discuss in Forum 
17.  In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: There are 6 letters in the given word, out of which there are 3 vowels and 3 consonants. Let us mark these positions as under: (1) (2) (3) (4) (5) (6) Now, 3 vowels can be placed at any of the three places out 4, marked 1, 3, 5. Number of ways of arranging the vowels = ^{3}P_{3} = 3! = 6. Also, the 3 consonants can be arranged at the remaining 3 positions. Number of ways of these arrangements = ^{3}P_{3} = 3! = 6. Total number of ways = (6 x 6) = 36. Learn more problems on : Permutation and Combination Discuss about this problem : Discuss in Forum 
18.  Two dice are tossed. The probability that the total score is a prime number is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Clearly, n(S) = (6 x 6) = 36. Let E = Event that the sum is a prime number.
n(E) = 15.
Learn more problems on : Probability Discuss about this problem : Discuss in Forum 
19.  An observer 1.6 m tall is 203 away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The heights of the tower is: 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Let AB be the observer and CD be the tower. Draw BE CD. Then, CE = AB = 1.6 m, BE = AC = 203 m.
CD = CE + DE = (1.6 + 20) m = 21.6 m. Learn more problems on : Height and Distance Discuss about this problem : Discuss in Forum 
Find the odd man out.  
20.  1, 4, 9, 16, 23, 25, 36 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation:
Each of the numbers except 23, is perfect square. Learn more problems on : Odd Man Out and Series Discuss about this problem : Discuss in Forum 