Thursday, July 4, 2013

IPM-IMO-MTSE-STATE SCHOLARSHIP PRACTICE PAPER 6



Mathematics Test Papers                                                                          For MTSE / IPM / IMO
Standard – 4                                       Paper number:  006
Time: 90 minutes
                                                                                                                                                                                                                                                                                              
                                                                 
1.       Reduce the fraction 51/119 to its lowest form.
            A)     5/17                       B) 3/7                    C) 3/17                  D) none of these
2.     51/57  = ɸ/95    . Find ɸ
             A)     90                           B) 91                      C) 78                      D) 85
3.       Multiply the given decimals:  24/100  + 24/1000  + 24/10000  
             A)     0.2664                   B) 26.64                C) 2.664                D) 0.2664
4.       If 3/8 = (p+7)/40 . Then find “P”.
            A)     8                              B) 7                        C) 12                      D) 20
5.       If 38*9 is completely divisible by 9, then find the value of *.
A)   8                              B) 7                        C) 6                        D) 5
6.       What should be subtracted from 492300 so that the reminder is completely divisible by 8?
A)   5                              B) 1                        C) 4                        D) 3
7.       How many centigrams make a Decagram?
A) 1000                         B) 100                    C) 10000               D) 100000
8.       How many ways can 64 be expressed as product of 2 nos.?
A) 1                0              B) 8                        C) 4                        D) 6
9.       ɸ/3    - ɸ/5    = 4. Find the value of ɸ.
A) 1                5              B) 20                      C) 25                      D) 30
10.   Find the 5th Term of the series 98, 87, 75, 62 ,.......
A) 50                              B) 48                      C) 51                      D) 49
11.   What is the angle between the hour and the minute arm at 7:30 pm.
A) 60                              B) 52.5                  C) 45                      D) 30
12.   Which of the results can be possible outcome of (**7) x (**5) ?
A) 2135                         B) 213335             C) 21330               D) 2110335
13.   In the diagram shown all the circles are identical. The radius of the circle is 4 cm. Find the perimeter of the outer boundary.


 



A) 144                           B) 128                    C) 96                      D) 112
14.   If  “a” is factor  of  “b”, what is the other factor?
A) b/a                           B) a/b                    C) a x b                 D) b-a
15.   Find the smallest Fraction from the following:
A) 9 /15                         B) 8/17                  C) 10/19                                D) 16/31
16.   Find the largest number which divides 91& 98.
A) 13                              B) 21                      C) 9                        D) 7
17.   2 /5 of a number is 40. What is the number?
A) 90                              B) 85                      C) 100                    D) 95
18.   Find out the proportional 98/119 in which the denominator is 51?
A) 17/51                        B) 42/51                                C) 48/51                                D) 34/51
19.  The product of two numbers is 91. The HCF & LCM are?
       A) 7,13                           B) 1,91                  C) 13,7                  D) 91,1
20.  (p-5)/12  + 5 =7. Then find “ p”.
        A) 21                              B) 20                      C) 24                      D) 29
21.  12 years ago the age of Arun was 9 years, what will be his age 10 years hence?
       A) 22 years                   B) 21 years                          C) 31 years                          D) 32 years
22.  The product of which two numbers from the following would be a perfect Square?
        A) 12x13                       B) 28x7                 C) 15x12                               D) 25x12
23.  The sum of 2 numbers is 14. The sum of squares of the 2 numbers is 100. What are the
        2 numbers?
        A) 6,4                            B) 6,8                     C) 8,8                     D) 10,1
24.  Find the value of 1 /5   ÷  1 /4  of 100?
      A) 5                                B) 1 /125                               C) 80                      D)125
25.  The sum of prime numbers between 20 and 30 is
        A) 52                              B) 73                      C) 79                      D) 77
26.  Nanu has Rs 576/- in her purse. She shops for Rs 150/-, donates Rs 25/- to an orphanage and
        wins a lottery of Rs 100/-. What is left in her purse?
        A)  Rs 545                     B) Rs  551             C) Rs 501                              D) Rs 651
27.  Divide 180 into 2 parts such that one part is double of the other?
        A) 30,120                     B) 60, 100                             C) 80,160              D) 60,120
28.  Express 1 /25 into Decimals?  
      A) 0.05                          B) 0.08                  C) 0.025                                D) 0.04
29.  5 toys and 4 books cost Rs 72/-. What will be the cost of 15 toys and 12 books?
        A) Rs 216/-                  B) Rs 144/-                          C) Rs 256/-                          D) Rs 300/-
30.  Find the sum of odd numbers between 20 to 40.
        A) 295                           B) 320                    C) 300                    D) 325
31.  Add 5000 metres, 2500 millimetres and 560 centimetres and express in metres?
        A) 25.081 m                                B) 13.1 m                             C) 86 m                 D) 5008.1 m
32.  Solve 12÷2+6x5-4+5
        A) 30                              B) 39                      C) 35                      D) 37
33.  How many 3 digit even numbers are possible using the following numbers  4, 3, 5?
        A) 2                                B) 4                        C) 6                        D) 1
34.  Nanu wants to buy a pen for Rs 180. She does not have enough money to buy the pen, so she     convinces the shop keeper to take equal amounts every month for 15 months. How much did Nanu pay per month?
        A) 10                              B) 15                      C) 12                      D) 24

35.  The jug of water is 2/5th full. 6 litres of water are added to make it full. How much water does the  jug hold.
        A) 10 litres                   B) 30 litres           C) 15 litre             D) 7.5 litres
36.  What is the 2 digit number, who’s digits when interchanged, has a square of value 441?
        A) 21                              B) 12                      C) 23      D) 32
37. 12 apples cost as much as 4 water melons, 8 water melons is same as 6 dozen bananas. How
       many apples will make 2 dozen bananas?       
       A) 4                                 B) 6                        C) 8                        D) 12
38. 10 points lie on the circumference of a circle. How many chords can be drawn?
       A) 66                               B) 45                      C) 125                    D) 72
39. The minimum number of digits of the outcome --(1**) x (1**) is .....................
       A) 6                                 B) 4                        C) 5                        D) 7
40.  What is the greatest 2 digit number that is divisible by both 6 and 8
       A) 88                               B) 92                      C) 96                      D) 90
41.  5 /7th part of children in a school is girls. If the number of boys in the school is 140, what is the
        number of students?   
        A) 980                           B) 490                    C) 560                    D) 900
42.  Find the value of a + b ÷ c, where a=  1 /3  ,   b= 1 /2   ,  c=1 /4
       A) 22/3                       B) 2 1 /3                                C) 2 /3                   D) 9 /24 
43.  Find the maximum difference between 2 consecutive 2 digit prime numbers?
        A) 6                                B) 7                        C) 8                        D) 9
            44.  To a given number 7 is added and the result is divided by 5 to get 7. Find the number?
                    A) 25                              B) 30                      C) 7                        D) 28
            45.  Write 1550 in Roman numerals?
                    A) MD                           B) LDM                 C) MDC                 D) MDL























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