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WorksheetsDay 1 - 9.5.2023 - Top 60(Soc&SoM)
Total questions: 33
Worksheet time: 33mins
Name
Class
Date
1.
Name with Initial
4 lines
2.
Department
4 lines
3.
Reg.No
4 lines
4.
The least number should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is
a)
3
b)
13
c)
23
d)
33
5.
Three sets of English, Mathematics and Science books containing 336, 240 and 96 books respectively have to be stacked in such a way that all the books are stored subject wise and the height of each stack is the same. Total number of stacks will be
a)
7
b)
14
c)
21
d)
28
6.
Which of the following has most number of divisors?
a)
99
b)
101
c)
176
d)
189
7.
The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each students gets the same number of pens and same number of pencils is
a)
1001
b)
91
c)
910
d)
1911
8.
Find the greatest number of four digits which must be added to 5231 so that the final number becomes exactly divisible by 12, 15, 27, 32 and 40.
a)
7729
b)
7829
c)
7929
d)
9729
9.
Find a number such that when 15 is subtracted from 7 times the number, the result is 10 more than twice the number.
a)
5
b)
10
c)
15
d)
20
10.
The sum of numerator and denominator of a fraction is 30. If 2 is added to numerator and 2 is subtracted from denominator, then it becomes 2/3. Find the fraction.
a)
1/2
b)
1/3
c)
2/3
d)
1/4
11.
One-fifth of a number is equal to 5/8th of another number. If 35 is added to the first number, it becomes four times the second number. Find the second number.
a)
39
b)
70
c)
40
d)
25
12.
Amit, Sucheta and Neeti start running around a circular track and complete one round in 18 seconds, 24 seconds and 32 seconds respectively. In how many seconds will the three meet again at the starting point if they all have started running at the same time?
a)
196
b)
216
c)
288
d)
324
13.
Out of two numbers, 4 times the smaller one is less than 3 times the larger one by 5, If the sum of the numbers is larger than 6 times their difference by 6, find the two numbers.
a)
55 and 58
b)
23 and 28
c)
59 and 43
d)
65 and 67
14.
5 times a positive number is less than its square by 24. What is the integer?
a)
5
b)
8
c)
7.5
d)
9
15.
Which of these numbers is divisible by 26?
a)
190554
b)
190544
c)
190552
d)
190548
16.
(666 X 666) + (333 X 333) – (666 X 333)/ (666 X 666 X 666)(333 X 333 X 333)= ?
a)
1/666
b)
1/333
c)
1/999
d)
1/1000
17.
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
a)
3
b)
5
c)
9
d)
11
18.
What is the smallest number by which 625 must be divided so that the quotient is a perfect cube?
a)
5
b)
25
c)
125
d)
625
19.
Product of two co-prime numbers s 117. Their L.C.M. should be
a)
101
b)
109
c)
112
d)
117
20.
When a number is subtracted from the number 8,12 and 20, the remainders are in continued proportion, Find the number ?
a)
4
b)
3
c)
2
d)
8
e)
6
21.
If the nine-digit number 87605x31y is divisible by 72, then the value of 2x-3y is:
a)
1
b)
0
c)
-1
d)
2
22.
Find the greatest three number which is multiple of 7
a)
993
b)
995
c)
994
d)
None of these
23.
The HCF and LCM of two numbers are 50 and 250 respectively. If the first number is divided by 2, the quotient is 50. The second number is
a)
50
b)
75
c)
100
d)
125
24.
Simplify the expression using BODMAS rule (105 + 206) - 550 ÷ 52 + 10
a)
399
b)
289
c)
298
d)
299
25.
You purchased two pieces of cloth measuring 1.2 m and 1.3 m each at Rs. 330 and Rs. 270 per meter respectively and gave Rs. 1000 at the payment counter. How much cash will you get back?
a)
Rs. 253
b)
Rs. 604
c)
Rs. 649
d)
Rs. 235
e)
None of these
26.
Which of the following cannot be the number of zeroes at the end of any factorial?
a)
7
b)
6
c)
5
d)
3
e)
2
27.
When a number is divided by 3, the remainder is 2. Again, when the quotient is divided by 7, the remainder is 5. What will be the remainder when the original number is divided by 21?
a)
14
b)
16
c)
13
d)
17
28.
The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is
a)
1008
b)
1015
c)
1022
d)
1032
29.
1ab8 is 4-digit number divisible by 24. If the number formed from the two digits ab is a multiple of 9. Then a+b= ?
a)
9
b)
8
c)
12
d)
14
30.
The H.C.F. and L.C.M. of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4, then the larger of the two numbers is
a)
48
b)
84
c)
92
d)
96
31.
The sum of the squares of three consecutive natural numbers is 2030. Then, what is the middle number?
a)
25
b)
26
c)
27
d)
28
32.
The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is
a)
101
b)
111
c)
134
d)
185
33.
Five bells begin to toll together and toll at intervals of 36, 45, 72, 81 and 108 seconds. After what interval of time will they keep on tolling together?
a)
3080 seconds
b)
3140 seconds
c)
3200 seconds
d)
3240 seconds
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