Direction(Q. 1 - 5): Each of the que-tions below consists two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer..
 
 1)    If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question;
 2)    If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question;
 3)    If the data either in statement I alone or in statement II alone are sufficient to answer the question;
 4)    If the data either in statement I and II together are not sufficient to answer the question and some more data needed.
 5)    If the data in both statements I and II together are necessary to answer the question.
 (Q. No.1-5: Allahabad Bank PO
 21-02-2010)
 1.    What is the Circumference of a semi circle?
     I.    The radius of the semicircle is equal to half the side of a square.
     II.    The area of the square is 196 sq. cm.
 2.    What is the exact average of n, 35, 39, 42, p and w?
     I. n is six more than w.
     II. w is four less than p.
 3.    What was the percent profit/loss made/ incurred by selling an article for Rs.24,000?
     I.    The ratio between the selling price and the cost price of the article is 5 : 3 respectively.
     II.    The difference between the cost price and the selling price is Rs. 9,600.
 4.    What will be the difference between two two-digit numbers?
     I.    The square of the first number is 9 times the second number.
     II.    The ratio between the first number and second is 3:4 respectively.
 5.    What is the ratio between two numbers x and y?
     I.  40% of x  is 20% of 50.
     II. 30% of y is 25% of 72.
 Solutions (1- 5):
 1.    5
     From statements I and II
     Side of square == 14 cm
     \ Circumference of the
     semi circle = pr + 2r
     = r (p+2) = 7(p+2) cm.
 2.    4
     Data are inadequate.
 3.    3
     From statement I
     Cost price of article
    
     Profit = 24,000–14,400
     = Rs. 9,600
      \Profit percent
     
    4.    4        5. 5
 (Q. No. 6-10: IDBI Bank Officer 16-09-2012)
 6.    What is the minimum passing percentage in a test?
     I.    Raman scored 25% marks in the test and Sunil scored 288 marks which is 128 more than Raman.
     II.    Raman scored 64 marks less than the minimum passing marks.
 7.    What is the value of x2 + y + z?
     I.    4x + 3y + 5z = 60 and
         2x = y, 2y = z
     II.    3x + 3y + 2z = 34 and
         2x + 5y + 6z = 72
 8.    Whose body weight is second highest among the five boys Arun, Vinay, Suraj, Raju and Pratap?
     I.    Average weight of Arun, Suraj and Vinay is 68 kg. and average weight of Raju and Pratap is 72 kg. Also Suraj is 78 kg, Raju is 68 kg and Vinay is 46kg.
     II.    Average weight of Arun, Suraj, Vinay and Raju is 68 kg and also Suraj is 78 kg. Raju is 68 kg and Vinay is 46 kg. All of them have different weight.
 9.    What is the respective ratio between the length of a rectangle and side of square?
     I.    Area of the square is 576 sq. cm. and area of the rectangle is 600 sq. cm
     II.    Breadth of the rectangle is half the side of the square.
 10.    What is the smaller angle of a parallelogram?
     I.    Ratio between the angle of a triangle is 3 : 5 : 4 and the lar-ger angle of the parallelo-gram is 34° more than the lar-gest of the triangle.
     II.    Largest angle of the para-llelogram is 38° more than its smaller angle.
 Solutions (6- 10):
 6.    5
     From statements I and II
     If the total marks be x, then
     
       = 288 – 128 = 160
     x = 640
     If the minimum pass percentage be y, then
     
     = 160 + 64 = 224
 
     
 7.    1
     From statement I
     4x + 3y + 5z = 60
     And 2x = y; 2y = z so z = 4x
     4x + 6x + 20x = 60
     30x = 60
     x = 2; y = 4; z = 8
      \x2 + y + z = 4 + 4 + 8 = 16
     From statement II
     We have three unknown quan-tities but two equations. So we can't find the values.
 8.    5
     From statement I
     Arun + Vinay + Suraj + Raju
     + Pratap = 68 ´ 3 + 72 ´ 2
     = 204 + 144 = 348 kg
     Arun + Pratap = 348 – 78
     – 68 – 46 = 156 kg
     From statement II
     Arun + Suraj + Vinay + Raju
     = 68 ´ 4 = 272 kg
     \Pratap = 348 – 272 = 76 kg
     Arun = 156 – 76 = 80 kg
     Clearly weight of Suraj is the second biggest.
 9.    5
     From statement I and II
     Side of square ==24 cm
     Area of rectangle = 600 sq cm
         lb    = 600 sq cm
         l´12     = 600 sq cm
         l    = 50 cm
       Required ratio = 50 : 24 = 25 : 12
 10.    3
     From statement I
     3x + 5x + 4x     = 180°
     12x        = 180°
     x        = 15°
     Largest angle of parallelogram
     = 5x + 34 = 75 + 24 = 109°
     Second angle = 180 – 109 = 71°
     From statement II
     x + x + 38 = 180°
     2x= 180 – 38 = 142
     x = 71°
 Practice questions
 1. What is the colour of the fresh grass?
     I.    Blue is called green, red is called orange and orange is called yellow.
     II.    Yellow is called white, white is called black, green is called brown and brown is called purple.
 2.    What does 'nip' stand for in a code language?
     I.    In the code language, 'that is very beautiful' is written as 'se nip sre num'.        
     II.    In the same code language, 'my house is beautiful' is written as 'nip sto sre tip'.
 3.    In a certain code, 'nop al ed' means 'They like flowers'. Which code word means 'flowers'?
     I.    'id nim nop' means 'They are innocent'.
     II.    'gob ots al' means' we like roses'.
 4.    What is the code for 'sky' in the code language?
      I.    'In the code language, 'sky is clear' is written as 'de ra fa'
     II.    In the same code language, 'make it clear' is written as 'de ga jo'.
 5.    Which word in the code language means 'flower'?
     I. 'de fu la pane' means 'rose flower is beautiful' and 'la quiz' means 'beautiful tree'.
     II. 'de la chin' means 'red rose flower' and 'pa chin' means 'red tea'.
 6.    Which code word stands for 'good' in the coded sentence 'sin co bye' which means 'He is good'?
     I.    In the same code language, 'co mot det' means 'They are good'.
     II.    In the same code language, 'sin mic bye' means 'He is honest'.
 7.    What is the code for 'is' in the code language?
     I.    In the code language, 'shi tu ke' means 'pen is blue'.
     II.    In the same code language, 'ke si re' means 'this is won-derful'.
 8.    What is the code for 'or' in the code language?
     I.    'nik sa te' means 'right or wrong', 'ro da nik' means 'he is right' and 'fe te ro'  means 'that is  wrong'.
     II.    'pa nik la' means 'that right man', 'sa ne pa' means 'this or that' and 'ne ka re' means 'tell this there'.
 9.    What is the code for 'mangoes' in the code language?
     I. In that code language, 'Te Le Pa Na' means 'You eat many mangoes' and 'Le Na Da' means 'you sell mangoes'.
     II. In the code language, 'Ge Na Sa La Le' means 'They eat bananas and mangoes' and
         'Ne De Le La' means 'Who others eat bananas'.
 
 KEY
 1) 1;    2) 4;     3) 5;     4) 4;      5) 4;
 6) 3.    7) 5;     8) 3;     9) 5.