Find the sum of total number of factors of 360 and 140.
- 24
- 15
- 36
- 6
- option3
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Total Number of Factors (TNF),
in 360=4*3*2=24,
in 140= 3*2*2=13,
Sum of TNF in 360 & 140=24+12=36
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The units digit of 35^87 + 93^46 is
- 3
- 4
- 2
- 6
- option2
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5^87+3^46
5+3^2 [5^odd = 5, 3^4k+2]
5+9=14, so unit digit is 4
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If in a two digit number, the digit at unit place is z and the digit at tens place is 10, then the number is
- 10z
- 10 + z
- 100+z
- 100z+z
- option3
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2-digit number = 10 times 10 + (1 times z
=100+z
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The present ages of three brothers in the proportion 3: 4: 5. After 10 years the sum of their ages will be 78. What are their ages now?
- 15, 20, 25
- 12, 16, 20
- 21, 28, 35
- 24, 32, 40
- option2
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Now sum of their age= sum of their present age - each person age*10
=78-30=48, so sum of values of option 1 gives 48.
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The present ages of three brothers in the proportion 4: 5: 6. After 10 years the sum of their ages will be 75. What are their ages now?
- 12, 15, 18
- 12, 16, 20
- 21, 28, 35
- 24, 32, 40
- option1
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After 10 years sum of their age will be 75 can be written as,
(4k+10)+(5k+10)+(6k+10)=75
15k=75-30
k=3
PRESENT AGE =4k,5k,6k=12,15,18
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The radius as well as the height of a circular cone increases by 10%. The percentage increase in its volume is?
- 17.1
- 21.0
- 33.1
- 72.8
- option3
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What would be the smallest natural number which when divided either by 20 or by 42 or by 76 leaves a remainder ‘7’ in each case is___
- 3047
- 6047
- 7987
- 63847
- option3
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A no. Which are divisible by 20,42 and 46 will be,
LCM(20,42,76)=7980
Add remainder 7 in 7980=7987
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What would be the smallest natural number which when divided either by 5 or by 10 or by 15 leaves a remainder ‘3’ in each case is___
- 33
- 43
- 53
- 63
- option1
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A no. Which are divisible by 20,42 and 46 will be,
LCM(5,10,15)=30
Add remainder 3 in 30=33
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What is the missing number in the following sequence?2,12,60,240,720,1440,___,0
- 2880
- 1440
- 720
- 0
- option1
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Pattern is
2*6=12,
12*5=60,
60*4=240, so on.. 1440*1=1440
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The units digit of (35)^87 + (93)^46 is:
- 4
- 2
- 6
- None of these
- option1
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unit digit 5^anything = 5,
unit digit 3^46= 3^(11+2)=3^2=9
unit digit will be: 5 + 9 =14 => 4
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