Math genni-sample-paper-class-8-for-4-year

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Vidyamandir Classes : Innovating for your success
Math Genni Sample paper
Read the following Instructions very carefully before you proceed.
 The paper contains 20 pages and a total of 40 Objective Type Questions divided into three sections:
Section - I, Section - II and Section - III.
 Section - I contains 20 questions. Each question has 4 choices (A), (B), (C) and (D), out of which Only One
choice is Correct.
 Section - II and Section - III contain 10 questions each. Each question has 4 choices (A), (B), (C) and (D), out of
which Only One choice is Correct.
 For each question in Section - I, you will be given 3 marks if you have darkened only the bubble
corresponding to the correct answer and zero marks if no bubble is darkened. There is NO NEGATIVE
MARKING.
 For each question in Section - II, you will be given 4 marks if you have darkened only the bubble
corresponding to the correct answer and zero marks if no bubble is darkened. In all other cases, minus ONE (-
–1) mark (NEGATIVE MARKING) will be given.
 For each question in Section - III, you will be given 5 marks if you have darkened only the bubble
corresponding to the correct answer and zero marks if no bubble is darkened. In all other cases, minus ONE (-
–1) mark (NEGATIVE MARKING) will be given.
 For answering a question, an ANSWER SHEET (OMR SHEET) is provided separately. Please fill your
Name, Roll Number, Seat ID, Date of Birth and the PAPER CODE properly in the space provided in the
ANSWER SHEET.
IT IS YOUR OWN RESPONSIBILITY TO FILL THE OMR SHEET CORRECTLY.
 A blank space has been provided on each page for rough work. You will not be provided with any supplement
or rough sheet. However some blank pages for rough work are given at the end of this paper.
 The use of log tables, calculator and any other electronic device is strictly prohibited.
 There are no errors in the paper. Please do not disturb the invigilator or any other student for any
corrections/suggestions in the paper. Violating the examination room discipline will immediately leads to
the cancellation of your paper and no excuses will be entertained.
FILL THE FOLLOWING INFORMATION PROPERLY BEFORE YOU PROCEED.
ROLL NUMBER SEAT ID
NAME DATE OF BIRTH

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INVIGILATOR’S SIGNATURE ROOM NO.
SUGGESTIONS:
• Before starting the paper, spend 2-3 minutes to check whether all the pages are in order and report any
issues to the invigilator immediately.
• Try to attempt the Sections in their respective order.
• Do not get stuck-up at a particular question for more than 6-8 minutes. Move on to a new question as
there are 40 questions to solve.
SECTION - I
1. The ratio of surface areas of two spheres whose radii are in the ratio of 1 : 6 is :
(A) 36 : 1 (B) 1 : 6 (C) 1 : 36 (D) 1 : 216
2. 73 72 71
2 2 2
− − is the same as :
(A) 69
2 (B) 70
2 (C) 71
2 (D) 72
2
3. The average of the first five multiples of 7 is :
(A) 20 (B) 21 (C) 28 (D) 30
SPACE FOR ROUGH WORK

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4. The speed of the train going from Nagpur to Allahabad is 100 km/hr while when coming back from
Allahabad to Nagpur, its speed is 150 km/hr. The average speed during the whole journey is :
(A) 125 (B) 75 (C) 135 (D) 120
5. If 5kg of salt costing Rs. 5/kg and 3kg of salt costing Rs. 4/kg are mixed, the average cost of the mixture
per kilogram is :
(A) Rs. 4.5 (B) Rs. 4.625 (C) Rs. 4.75 (D) Rs. 4.125
6. If 25% of a number is 75, then 45% of that number is :
(A) 145 (B) 125 (C) 150 (D) 135

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7. 20% of 50% of 75% of 70 is :
(A) 5.25 (B) 6.75 (C) 7.25 (D) 5.5
8. By selling a watch for Rs. 495, a shopkeeper incurs a loss of 10%. The cost price of the watch for the
shopkeeper is :
(A) Rs.545 (B) Rs.550 (C) Rs.555 (D) Rs.565
9. A cellular phone when sold for Rs. 4600 fetches a profit of 15%. The cost price of the cellular phone is :
(A) Rs.4300 (B) Rs.4150 (C) Rs.4000 (D) Rs.4500

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10. Rs. 1200 is lent out at 5% per annum simple interest for 3 years. The amount after 3 years is :
(A) Rs.1380 (B) Rs.1290 (C) Rs.1470 (D) Rs.1200
11. Interest obtained on a sum of Rs. 5000 for 3 years is Rs. 1500. The rate percentage is :
(A) 8% (B) 9% (C) 10% (D) 11%
12. In a mixture of 40 litres, the ratio of milk and water is 4 : 1. The water that must be added to this mixture
so that the ratio of milk and water becomes 2 : 3 is :
(A) 20 litres(B) 32 litres(C) 40 litres(D) 30 litres

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13. Divide Rs. 680 among A, B and C such that A gets 2/3 of what B gets and B gets 1/4th
of what C gets.
Now the share of C is :
(A) Rs. 480 (B) Rs. 300 (C) Rs. 420 (D) Rs. 360
14. The difference between two positive numbers is 10 and the ratio between them is 5 : 3. The product of the
two numbers is :
(A) 375 (B) 175 (C) 275 (D) 125
15. The numbers in the ratio 1 : 3 : 4 : 7 add up to give a sum of 105. The value of the biggest number is :
(A) 42 (B) 35 (C) 49 (D) 63

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16. Raju can do 25% of a piece of work in 5 days. The number of days he will take to complete the work ten
times is :
(A) 150 days (B) 250 days (C) 200 days (D) 180 days
17. The perimeter of an equilateral triangle is 72 3 cm . The height of triangle is :
(A) 63 cm (B) 24 cm (C) 18 cm (D) 36 cm
18. The value of x in the given figure, if it is given that AC and BD
are diameters of the circle is :
(A) 60° (B) 45°
(C) 15° (D) 30°

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19. If the 3rd
day of a month is Monday, the fifth day from 21st
of this month is :
(A) Monday (B) Tuesday (C) Wednesday (D) Friday
20. Consider the following figures:
The missing number is:
(A) 7 (B) 8 (C) 9 (D) 10
SECTION - II

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21. The price of rice falls by 20%. The rice that can be bought now with the money that was sufficient to buy
20 kg of rice previously is :
(A) 5 kg (B) 15 kg (C) 25 kg (D) 30 kg
22. Ram sells his goods 20% cheaper than Bobby and 20% dearer than Chandilya. Chandilya's good is
cheaper/dearer than Bobby's by :
(A) 33.33% (B) 50% (C) 42.85% (D) None of these
23. If a number 774958A96B is to be divisible by 8 and 9, then the respective values of A and B will be :
(A) 7 and 8 (B) 8 and 0 (C) 5 and 8 (D) None of these

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24. The sum of two integers is 10 and the sum of their reciprocals is
5
12
. Then the larger of these integers is :
(A) 2 (B) 4 (C) 6 (D) 8
25. A forester wants to plant 44 apple trees, 66 banana trees and 110 mango trees in equal rows (in terms of
number of trees). Also, he wants to make distinct rows of trees (i.e. only one type of tree in one row).
The number of rows (minimum) that are required is :
(A) 2 (B) 3 (C) 10 (D) 11
26. A single discount equivalent to the discount series of 20%, 10%, 5% is :
(A) 30% (B) 31.6% (C) 68.4% (D) 35%

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27. In the land of the famous milkman Merghese Durian, a milkman sells his buffalo for Rs. 720 at some
profit. Had he sold his buffalo at Rs. 510, the quantum of the loss incurred would have been double than
that of the profit earned. The cost price is :
(A) Rs.600 (B) Rs.625 (C) Rs.675 (D) Rs.650
28. A can do a piece of work in 20 days and B can do it in 15 days. Number of days they will take to do work
together is :
(A)
6
8
7
 
 
 
days (B)
4
8
7
 
 
 
days (C)
3
9
7
 
 
 
days (D)
4
9
7
 
 
 
days

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29. Walking at 3/4th
of his normal speed, Abhishek is 16 minutes late in reaching his office. The usual time
taken by him to cover the distance between his home and his office is :
(A) 48 minutes (B) 60 minutes (C) 42 minutes (D) 62 minutes
30. Location of B is North of A and location of C is East of A. The distance AB and AC are 5km and 12km
respectively. The shortest distance (in km) between the locations B and C is :
(A) 60 (B) 13 (C) 17 (D) 7
SECTION - III

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31. A pump can be used either to fill or to empty a tank. The capacity of the tank is 3600 m3
. The emptying
capacity of the pump is 10m3
/min higher than its filling capacity. The emptying capacity of the pump,
if pump needs 12 more minutes to fill the tank than to empty it is :
(A) 50 m3
/min (B) 60 m3
/min (C) 45 m3
/min (D) 90 m3
/min
32. If
1 1
2 3
3 2
a b c d
b c d e
= , = , = , = and
1
4
e
f
= , the value of
abc
def
is :
(A)
3
8
(B)
27
8
(C)
3
4
(D)
27
4

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33. Neeraj has agreed to mow a rectangular lawn, whose length is 40m and breadth is 20m. The mower mows
a 1m wide strip. If Neeraj starts at one corner and mows around the lawn towards the centre, then number
of rounds before he has mowed half the lawn are :
(A) 2.5 (B) 3.5 (C) 3.8 (D) 4.0
34. 4/5th
of the voters in Bellary promised to vote for Sonia Gandhi and the rest promised to vote for Sushma
Swaraj. Of these voters, 10% of the voters who had promised to vote for Sonia Gandhi, did not vote on
the election day, while 20% of the voters who had promised to vote for Sushma Swaraj did not vote on
the election day. The total number of votes polled if Sonia Gandhi got 216 votes is :
(A) 200 (B) 300 (C) 264 (D) 100

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35. If
a b c
b c c a a b
= =
+ + +
, then each fraction is equal to :
(A) ( )2
a b c
+ + (B) 1/2 (C) 1/4 (D) 0
36. A boat goes 40 km upstream in 8h and a distance of 49 km downstream in 7h. The speed of the boat in
still water is :
(A) 5 km/h (B) 5.5 km/h (C) 6 km/h (D) 6.5 km/h
37. In the given figure, the value of x is :

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(A) 40°
(B) 25°
(C) 30°
(D) 45°
38. A gardener has 1000 plants. He wants to plant them in such a way that the number of rows and the
number of columns remains the same. The minimum number of plants he needs more for this purpose are:
(A) 14 (B) 24 (C) 32 (D) 34

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39. A village having a population of 4000 requires 150 L of water per head per day. It has a tank measuring
20 m× 15 m× 6 m. The water of this tank will last for :
(A) 2 days (B) 3 days (C) 4 days (D) 5 days
40. A rectangular plot of lawn shown in the figure, has
dimensions x and y and is surrounded by gravel
pathway of width 2m. The total area of the pathway is :
(A) 2 2 4
x y
+ +
(B) 2 2 8
x y
+ +
(C) 4 4 8
x y
+ +
(D) 4 4 16
x y
+ +

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   End of 4Year Mathgenii Scholarship Test/JEE-2023   

Vidyamandir/MGT/ACEG/JEE-2023/ANSWERS 1
4YEAR ADMISSION TEST
13/10/2018 ANSWERS IITJEE - 2023
SECTION - I
1 2 3 4 5 6 7 8 9 10
C C B D B D A B C A
11 12 13 14 15 16 17 18 19 20
C C A A C C D D C C
SECTION - II
21 22 23 24 25 26 27 28 29 30
C A B C C B D B A B
SECTION - III
31 32 33 34 35 36 37 38 39 40
B A C C B C A B B D

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