Thursday, July 4, 2013

IPM-IMO-MTSE-STATE SCHOLARSHIP PRACTICE PAPER 4

Mathematics Test Papers                                                                                      For MTSE / IPM / IMO
Standard – 4                                       Paper number:  004
Time: 90 minutes

                                                                                                                                                                                                                                                                                                                                                              
1.       What is the quotient when   7/9 is divided by 35/63 ? 
          A)     0.3330                   B) 1.40                  C) 3.03                  D) 3.003
2.     Which of the following fraction is the most reduced form of  108/1800 .
          A)     1/18                        B) 54/900              C) 6/100                                D)  3/50
3.       Solve: [36+{13x5-(12+ 17)}] ÷ 3 x7 =?  
          A)     1                              B) 49                      C) 168                    D) 259
4.       If 35 + 4/ ɸ = 351/2. Then find “ɸ”.
          A)     8                              B) 6                        C) 7                        D) 14
5.       How many prime numbers are there between 1 and 100?
A)   21                           B) 23                      C) 25                      D) 26
6.       The sum of the place value of all the digits of a number is 1001. Find the number?
A)   1001                       B) 11                      C) 101                    D) data insufficient
7.       The Square has .........................lines of symmetry?
A) 1                                                B) 3                        C) 2                        D) 4
8.       Write the Roman number 53?
            A)     VIII                         B) XXXXXIII         C) XCIII                 D) LIII
9.       Put a proper sign in the box 35/27          35/24 .
A) =                                                B) >                        C) <                        D) None
10.   Find the 6th Term of the series 3,10,29,66,127,........
A) 218                           B) 188                    C) 216                    D) 222
11.   The sum of largest 2 digit number and the largest 2-digit composite number is ............... .
A) 100                           B) 101                    C) 196                    D) 198
12.   The sum of 4 angles of a quadrilateral are ?
A) 360o                          B) 180o                  C) 270o                       D) 90o              
13.   Find the value of A + B –C.


    5   4   A
+  1   0   5
+  C   8   2
   
    9   B   1
      A) 9                        B) 6                        C) 5                       D) 3

14.   Write the number 1000 1/1000 in decimal form?
A) 1000.01                   B) 1000.100                         C) 1000.001                         D) 1000.1
15.   How many 2 digit numbers are there in which 4 is absent
A) 71                              B) 72                      C) 73                      D) 81
16.   If the letter Z denotes an even number, which of the following is an odd number?
A) Z +3                          B) Zx3                    C) Z-2                    D) Z ÷ 2
17.   It takes 1 minute to make a cut. How many minutes would it take to cut 15 m long rope in 5 equal parts?
A) 1 minute                                B) 3 minute         C) 4 minute         D) 5 minute
18.   Solve: 1/9  + 1/9  =?/54
A) 4                                                B) 6                        C) 5                        D) 12
19.  What is the place value of digit 3 in the number 8.7345?
       A) 3/10                          B) 3/100               C) 3/1000             D) 300
20.  A perfect square will never have the digit -------------- in its units place
        A) 1                                B) 7                        C) 5                        D) 9
21.  From a point if 8 rays are drawn, how many angles will be formed?
       A) 28                               B) 16                      C) 8                        D) 32
22.  Express the number of seconds for the month of February of 2012?
        A) 28x24x60x60         B) 29x24x3600   C) 30x24x60x60                D) 31x24x60x60
23.  Which of the following represents 49 in Roman Numerals?
        A) XXXXXI                    B) XLIX                  C) XXXIX               D) IXL
24.  Express 5 1/4   hours as decimal?
      A) 5.34                          B) 5.25                  C) 5.15                  D) 5.75
25.  In the year 2012, the Republic Day was on Thursday. On what day will 1st April fall?
        A) Friday                      B) Saturday         C) Sunday            D) Monday

26. . What us the value of x?
        A)  3                               B) 5                        C) 15                      D) 45
27.  Rs 1000 notes with numbers from 734453 to 734500 were given for the purchase of an item. 
        How much money was given?
        A) 48000                       B) 49000               C) 89000               D) 137000
28.  The equivalent fraction of 51 /68 is?  
      A) 3 /4                           B) 2 /5                   C) 4/9                    D) 2 /3
29.  If a number is divided by 45, the remainder is 8 and if divided by 46, the remainder is 7. What is the number?
        A) 2132                         B) 2123                 C) 2128                 D) 2124
30.  ?
        A) IV                              B) VI                      C) XXII                   D) XXX
31.  If a number is divided by 21, the quotient is 83 and the remainder is 7. What is the number?
        A) 1743                         B) 1748                 C) 1750                 D) 1753

32.  What divisor gives 4 as the quotient when “y” is the dividend?
        A) 4/y                            B) 4y                      C) 4/y                    D) 4+y
33.  Express Nine lakh and nine?
        A) 9000009                  B) 90009               C) 9009                 D) 900009
34.  The perimeter of an equilateral triangle and of a square are equal. If the area of the square is
        36 cm2 , find the side of the equilateral triangle?
        A) 6 cm                         B) 7 cm                 C) 8 cm                 D) 9 cm
35.  The perimeter of a square is 25 cm. If each side is increased by 2.75 cm, then the length of the
        new square is?
        A) 9 cm                         B) 8 cm                  C) 6 cm                  D) 5 cm
36.  A three digit number has “x” in the units place, zero in the tens place and “y” in the hundredth
        place. Then the number is.....
        A) 100x + y                  B) 100 yx                              C) 100y+x            D) none of these
37.  The LCM and GCD of 2 numbers are 936 and 8. One of the number is less than 80 and the other
        is less than 110. Find the numbers     
       A) 52, 108                     B) 70, 104             C) 72, 104             D) data insufficient
38. If “k” is 15 times in “x”, then x =?
       A) 15+k                          B) 15k                    C) 15/k                  D) k/15
39. The Complimentary angle of 471/2o is?
       A) 471/2o                      B) 451/2o              C) 421/2o              D) 1321/2o
40.  Find the largest number that divides 44, 86 and 164?
       A) 2                                 B) 4                        C) 12                      D) 6
41.  Which of the following Roman numeral is the greatest?
        A) MCL                         B) CM                    C) MDC                 D) MDL
42.  Find the value of (2a) of b ÷ c, where a= 1 /3 ,   b= 1 /2   ,  c=1 /4
       A) 2/3                           B) 4 /3                  C) 8 /3                   D) 1 /12 
43.  Which of the following is not a factor of 1001?
        A) 11                              B) 7                        C) 19                      D) 13
            44.  1250 mm = ............  metre
                   A) 1 /8                           B) 1 /125               C) 125 /100           D) 1.25
            45.  Which of the given fraction is the greatest?
                   A) 3 /5                           B) 6 /8                  C) 11 /13               D) 18 /17   
            46.  7 /17  + 6 /17   + 4 /17   = */85  . Find the value of * ?

                  A) 85                              B) 17                      C) 63                      D) 51
            47.   Which of the following is not a square number?
                  A) 441                           B) 729                    C) 576                    D) 686
            48.   The sum of ages of Jack and Jill 5 years ago was 20 years. What will be the sum of their ages 7
                    years hence?
                 A) 42                              B) 38                      C) 44                      D) 51
            49.   How many rectangles can be there with perimeter of 32 cms, whose length and breadth are natural   numbers?
                 A) 7                                B) 16                      C) 14                      D) 8
            50.   How many basic numerals are there in writing Roman numerals?
                 A) 7                                B) 10                      C) 5                        D) 8

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