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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.  Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Let the distance travelled by x km.
3x  2x = 60 x = 60 km.
So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.
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2.  What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: h = 14 cm, r = 7 cm. So, l = (7)^{2} + (14)^{2} = 245 = 75 cm.
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Find out the wrong number in the series.  
3.  190, 166, 145, 128, 112, 100, 91 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: Go on subtracting 24, 21, 18, 15, 12, 9 from the numbers to get the next number. 190  24 = 166 166  21 = 145 145  18 = 127 [Here, 128 is placed instead of 127] 127  15 = 112 112  12 = 100 ... and so on. Therefore, 128 is wrong. Learn more problems on : Odd Man Out and Series Discuss about this problem : Discuss in Forum 
4.  What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69. Number of such number =14
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5.  A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets? 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Number of runs made by running = 110  (3 x 4 + 8 x 6) = 110  (60) = 50.
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Insert the missing number.  
6.  2, 4, 12, 48, 240, (....) 

Your Answer: Option (Not Answered) Correct Answer: Option B Explanation: Go on multiplying the given numbers by 2, 3, 4, 5, 6. So, the correct next number is 1440. Learn more problems on : Odd Man Out and Series Discuss about this problem : Discuss in Forum 
7.  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 30º. 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 
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
 
8. 


Your Answer: Option (Not Answered) Correct Answer: Option E Explanation: I. Speed of the current = 1 km/hr. II. PQ = 4 km. Let the speed of the boat in still water be x km/hr. Then,
Correct answer is (E). Learn more problems on : Boats and Streams Discuss about this problem : Discuss in Forum 
9.  A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by: 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation:
B beats A by 100 m. Learn more problems on : Races and Games Discuss about this problem : Discuss in Forum 
10.  The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child? 

Your Answer: Option (Not Answered) Correct Answer: Option A Explanation: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years. Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50 5x = 20 x = 4. Age of the youngest child = x = 4 years. Learn more problems on : Problems on Ages 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.  
11. 


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 
12.  Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is: 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Relative speed = (60+ 90) km/hr
Distance covered = (1.10 + 0.9) km = 2 km = 2000 m.
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13.  A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train? 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: Let the length of the train be x metres and its speed by y m/sec.
8y + 264 = 20y y = 22.
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14.  (17)^{3.5} x (17)^{?} = 17^{8} 

Your Answer: Option (Not Answered) Correct Answer: Option D Explanation: Let (17)^{3.5} x (17)^{x} = 17^{8}. Then, (17)^{3.5 + x} = 17^{8}. 3.5 + x = 8 x = (8  3.5) x = 4.5 Learn more problems on : Surds and Indices 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
 
15. 


Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: I gives, h = 28 m and r = 14. Capacity = r^{2}h, which can be obtained. Thus, I alone gives the answer. II gives, r^{2} = 616 m^{2} and h = 28 m. Capacity = (r^{2} x h) = (616 x 28) 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 
16.  How many 4letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed? 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: 'LOGARITHMS' contains 10 different letters.
Learn more problems on : Permutation and Combination Discuss about this problem : Discuss in Forum 
17.  Find the highest common factor of 36 and 84. 

Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: 36 = 2^{2} x 3^{2} 84 = 2^{2} x 3 x 7 H.C.F. = 2^{2} x 3 = 12. Learn more problems on : Problems on H.C.F and L.C.M 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
 
18. 


Your Answer: Option (Not Answered) Correct Answer: Option C Explanation: Let the tens and units digit be x and y respectively. Then,
I gives, 4y = 24 y = 6. So, x + 6 = 8 x = 2.
II gives, x^{2} = 36 x = 6. So, 3y = 6 y = 2. Therefore, Either I or II alone sufficient to answer. Learn more problems on : Problems on Numbers 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
 
19. 


Your Answer: Option (Not Answered) Correct Answer: Option E Explanation: Let the sum be Rs. x. I gives, S.I. = Rs. 7000 and T = 7 years. II gives, Sum + S.I. for 5 years = 2 x Sum Sum = S.I. for 5 years. Now, S.I. for 7 years = Rs. 7000.
Thus, I and II both are needed to get the answer. Correct answer is (E). 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.  
20. 


Your Answer: Option (Not Answered) Correct Answer: Option E Explanation: I. Let the present ages of Tanya and Rahul be 3x years and 4x years. II. After 5 years, (Tanya's age) : (Rahul's age) = 4 : 5. III. (Rahul's age) = (Tanya's age) + 5.
Tanya's age = 3x can be found. Thus, I and II give the answer. From I and III, we get 4x = 3x + 5. This gives x. Tanya's age = 3x can be found. Thus, I and III give the answer. From III : Let Tanya's present age be t years. Then Rahul's present age = (t + 5) years.
Thus, II and III give the answer. Correct answer is (E). Learn more problems on : Problems on Ages Discuss about this problem : Discuss in Forum 