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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 greatest number of four digits which is divisible by 15, 25, 40 and 75 is: 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Greatest number of 4digits is 9999. L.C.M. of 15, 25, 40 and 75 is 600. On dividing 9999 by 600, the remainder is 399. Required number (9999  399) = 9600. Learn more problems on : Problems on H.C.F and L.C.M Discuss about this problem : Discuss in Forum 
2.  If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to: 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Let the numbers be a and b. Then, a + b = 55 and ab = 5 x 120 = 600.
Learn more problems on : Problems on H.C.F and L.C.M Discuss about this problem : Discuss in Forum 
3. 
If a = 0.1039, then the value of 4a^{2}  4a + 1 + 3a is: 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: 4a^{2}  4a + 1 + 3a = (1)^{2} + (2a)^{2}  2 x 1 x 2a + 3a = (1  2a)^{2} + 3a = (1  2a) + 3a = (1 + a) = (1 + 0.1039) = 1.1039 Learn more problems on : Square Root and Cube Root Discuss about this problem : Discuss in Forum 
4.  The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is: 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Let the numbers be x and y.
y^{2} = 625. y = 25. x = 15y = (15 x 25) = 375. Sum of the numbers = x + y = 375 + 25 = 400. Learn more problems on : Problems on Numbers 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.  
5. 


Your Answer: Option (Not Answered) Correct Answer: Option E Explanation: Let the tens and units digit be x and y respectively. I. (10x + y)  (10y + x) x  y = 3. II. x  y = 3. III. x  y = 3. Thus, even all the given three statements together do not give the answer. Correct answer is (E). Learn more problems on : Problems on Numbers Discuss about this problem : Discuss in Forum 
6.  Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years? 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Let the present ages of Sameer and Anand be 5x years and 4x years respectively.
9(5x + 3) = 11(4x + 3) 45x + 27 = 44x + 33 45x  44x = 33  27 x = 6. Anand's present age = 4x = 24 years. Learn more problems on : Problems on Ages 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
 
7. 


Your Answer: Option (Not Answered) Correct Answer: Option E Explanation:
II. S  5 = 25 (D  5) S = 25D  120 ....(ii)
4S = 120. S = 30. Thus, I and II both together give the answer. So, correct answer is (E). Learn more problems on : Problems on Ages Discuss about this problem : Discuss in Forum 
8.  If 3^{(x  y)} = 27 and 3^{(x + y)} = 243, then x is equal to: 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: 3^{x  y} = 27 = 3^{3} x  y = 3 ....(i) 3^{x + y} = 243 = 3^{5} x + y = 5 ....(ii) On solving (i) and (ii), we get x = 4. Learn more problems on : Surds and Indices Discuss about this problem : Discuss in Forum 
9.  Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is: 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: Suppose, number of articles bought = L.C.M. of 6 and 5 = 30.
Learn more problems on : Profit and Loss 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
 
10. 


Your Answer: Option (Not Answered) Correct Answer: Option E Explanation:
Thus, l can be obtained. So both I and II are necessary to get the answer. The correct answer is (E). Learn more problems on : Problems on Trains Discuss about this problem : Discuss in Forum 
Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.  
11. 


Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: From the statement I, we get length of the train is 200 metres (Redundant info while comparing with Statement III). The rest of the info given in this statement cannot be used for calculating the speed of the train, because the two trains might run at different speed.
So, the train will reach city X at 3 p.m. Hence II and III only gives the answer. Learn more problems on : Problems on Trains 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.  
12. 


Your Answer: Option (Not Answered) Correct Answer: Option D Explanation:
From II and III, we get:
8y = 24 + 6y y = 12.
Similarly, I and III also give the answer. Correct answer is (D). Learn more problems on : Boats and Streams Discuss about this problem : Discuss in Forum 
13.  Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B? 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900  x).
28x  22x = 350800  (13900 x 22) 6x = 45000 x = 7500. So, sum invested in Scheme B = Rs. (13900  7500) = Rs. 6400. Video Explanation: https://youtu.be/Xi4kU9y6ppk Learn more problems on : Simple Interest 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.  
14. 


Your Answer: Option (Not Answered) Correct Answer: Option E Explanation: Clearly, any two of the three will give us the answer. Correct answer is (E). Learn more problems on : Simple Interest Discuss about this problem : Discuss in Forum 
15.  66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be: 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Let the length of the wire be h.
Learn more problems on : Volume and Surface Area Discuss about this problem : Discuss in Forum 
16.  How many times in a day, are the hands of a clock in straight line but opposite in direction? 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only). So, in a day, the hands point in the opposite directions 22 times. Learn more problems on : Clock Discuss about this problem : Discuss in Forum 
17. 


Your Answer: Option (Not Answered) Correct Answer: Option C Explanation:
Learn more problems on : Stocks and Shares Discuss about this problem : Discuss in Forum 
18.  From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done? 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).
Learn more problems on : Permutation and Combination Discuss about this problem : Discuss in Forum 
19.  The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is: 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Let P.W. be Rs. x. Then, S.I. on Rs. x at 16% for 9 months = Rs. 189.
P.W. = Rs. 1575. Sum due = P.W. + T.D. = Rs. (1575 + 189) = Rs. 1764. Learn more problems on : True Discount Discuss about this problem : Discuss in Forum 
Find the odd man out.  
20.  41, 43, 47, 53, 61, 71, 73, 81 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation:
Each of the numbers except 81 is a prime number.
Learn more problems on : Odd Man Out and Series Discuss about this problem : Discuss in Forum 