Thursday, July 4, 2013

IPM-MTSE-IMO-STATE SCHOLARSHIP PRACTICE PAPER 7



Mathematics Test Papers                                                                                       For MTSE / IPM / IMO
Standard – 4                                       Paper number:  007
Time: 90 minutes
                                    
                                                                                                                                                                                                                                                                                                                           
1.       Reduce the fraction 68/289 to its lowest form.
             A)     4/17                       B) 3/19                  C) 3/19                  D) none of these
2.     13/182  = ɸ/98    . Find ɸ
             A)     10                           B) 9                        C) 7                        D) 8
3.       Multiply the given decimals:  12  + 13/1000  + 4/10000  
             A)     12.01304              B) 12.1340           C) 12.0134           D) 1.2134
4.       If 2/6= (p-6)/36 . Then find “P”.
            A)     10                           B) 18                      C) 12                      D) 20
5.       If 30*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 23467 so that the reminder is completely divisible by 7?
A)   5                              B) 1                        C) 4                        D) 3
7.       How many decilitres make a Decalitre?
A) 1000                         B) 100                    C) 10000               D) 100000
8.       Divide 50 into 2 parts such that one is greater than the other by 6. What is greater part?
A) 26              B) 28                      C) 24                      D) 30
9.       /3    - ɸ/5    =14. Find the value of ɸ.
A) 1                5              B) 20                      C) 25                      D) 30
10.   Find the 6th Term of the series 3, 6, 11, 18 ,27,.......
A) 36                              B) 34                      C) 40                      D) 38
11.   What is the angle between the hour and the minute arm at 6:30 pm.
A) 0                                B) 15                      C) 45                      D) 30
12.   When arranged in descending order, which is the middle term of the following --2/6 , 2/8, 2/4, 2/5, 2/9  ?
A) 2/6            B) 2/8                    C) 2/5                    D) 2/4
13.   In the diagram shown which as a greater perimeter, the circle or the square,


A) circle        B) square             C) both are same             D) insufficient data
14.   If  “a” is the LCM  and  “b” is the HCF of 2 numbers, what is the product of the 2 numbers?
A) a                                B) a/b                    C) a x b                 D) b
15.   Find the largest Fraction from the following:
A) 17 /36                       B) 12/25                                C) 10/19                                D) 16/33
16.   Find the largest number 2 digit number which is divisible by both 6 and 8.
A) 99                              B) 98                      C) 96                      D) 91
17.   7 /9 of a number is 49. What is the number?
A) 91                              B) 63                      C) 72                      D) 77
18.   Find out the proportional 85/289 in which the denominator is 51?
A) 17/51                        B) 15/51                                C) 19/51                                D) 16/51
19.  The product of two numbers is 169. The HCF & LCM are?
       A) 13,13                         B) 1,169                C) 169,1                D) data insufficient
20.  (p-5)/15  + 8 =20. Then find “ p”.
        A) 125                           B) 175                    C) 180                    D) 185
21.  12 students in a class taken science and 14 students have taken arts; the total strength of the class is 20. How many have taken both science and arts?
       A) 6                                 B) 7                        C) 0                        D) 6
22.  The product of which two numbers from the following would be a perfect Square?
        A) 12x13                       B) 28x6                 C) 45x5                 D) 25x12
23.  if a2 + b2 = 52 , then a and b are ................. respectively.
        A) 3,4                            B) 1,5                     C) 5,1                     D) 2,4
24.  Find the value of 1 /5   ÷  1 /4  of 100?
      A) 5                                B) 1 /125                               C) 80                      D)125
25.  If 27 is less that “x” by 10, what is “x”
        A) 17                              B) 37                      C) 2.7                     D) 270
26.  How many times “b” is contained in “3x”
        A)  3                               B) 3bx   C) 3x/b                   D) b/3x
27.  What must be taken from “p” to obtain “q”?
        A) p/q                            B) pq                     C) q-p    D) p-q
28.  Express 1 /500 into Decimals?  
      A) 0.02                          B) 0.002                                C) 0.025                                D) 0.005
29.  The product of 2 factors is “c” and one of them is “d”; what is the other?
        A) cd                              B) c/d                    C) c-d                    D) d/c
30.  How far can I walk in “x” hours at “y” kilometres an hour?
        A) xy                              B) x/y    C) y/x                    D) x-y
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.  What divisor gives 5 as the quotient when “y” is the dividend?
        A) 5/y                            B) 5y                      C) y/5                    D) y+5
33.  How many 3 digit numbers are possible using the following numbers  4, 0, 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. The shopkeeper agrees to charge Rs 15 per month. How much extra did Nanu Pay at the end of the period?
        A) 24                              B) 45                      C) 36                      D) 30

35.  If in every dozen orange only “m” are good, how many good ones are there in 96 oranges?
        A) 12m/96                     B) 96m                  C) 8m                    D) 96m
36.  A two digit number has “x” in the units place and “y” in the tens place. Then the number is .....
        A) 10x + y                    B) yx                      C) 10y+x               D) xy
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. If there are “k” numbers each equal to “x”, then what is their sum?
       A) k+x                            B) kx                      C) k/x                    D) data insufficient
39. How many numbers are divisible by 5, between 1 to 200?
       A) 40                                               B) 25                      C) 30                      D) 39
40.  What is the greatest 2 digit number that is divisible by 3 ,4 and 7?
       A) 88                               B) 84                      C) 96                      D) 90
41.  5 /7th part of children in a school is girls. If the number of boys in the school is 280, 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) 32/3                       B) 3 1 /3                                C) 2 /3                   D) 9 /24 
43.  How many prime numbers are there between 30 and 50?
        A) 6                                B) 7                        C) 8                        D) 5
            44.  To a given number 12 is added and the result is divided by 5 to get 12. Find the number?
                   A) 60                              B) 5                        C) 48                      D) 28
            45.  Find the number of triangles in the figure given below?


 




                  A) 16                              B) 13                      C) 14                      D) 15
            46.  What is the smallest number that should be added to 43789 to make it divisible by 9?
                 A) 3                                B) 6                        C) 4                        D) 5
            47.   The difference of which two numbers of the following is a square number?
                A) 169-25                     B) 156-24             C) 100-30             D) 256-25
            48.   If 5 four-digit numbers are added, the maximum carry over would be
                A) 3                                B) 4                        C) 5                        D) 6
            49.   3/8  ---when expressed as decimals:
                A) 0.375                        B) 0.38                  C) 0.125                D) 1.375
            50.   The sum of supplementary angle and complimentary angle of 37 1/2  is ?
                A) 180                           B) 144                    C) 195                    D) 165























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