The total expense of a boarding house are partly fixed and partly variable with the number of boarders. The charge is Rs.70 per head when there are 25 boarders and Rs.60 when there are 50 boarders. Find the charge per head when there are 100 boarders.
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65
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55
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50
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45
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Question 1 Explanation:
Let a = fixed cost and k = variable cost and n = number of boarders total cost when 25 boarders c = 25*70 = 1750 i.e. 1750 = a + 25k total cost when 50 boarders c = 50*60 = 3000 i.e. 3000 = a + 50k solving above 2 eqns, 3000-1750 = 25k i.e. 1250 = 25k i.e. k = 50 therefore, substituting this value of k in either of above 2 eqns we get a = 500 (a = 3000-50*50 = 500 or a = 1750 - 25*50 = 500) so total cost when 100 boarders = c = a + 100k = 500 + 100*50 = 5500 so cost per head = 5500/100 = 55
Question 2
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Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?
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37.5
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62.5
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50
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None of these
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Question 2 Explanation:
Let, 5 pens + 7 pencils + 4 erasers = x rupees so 10 pens + 14 pencils + 8 erasers = 2*x rupees also mentioned, 6 pens + 14 pencils + 8 erarsers = 1.5*x rupees so (10-6) = 4 pens = (2-1.5)x rupees so 4 pens = 0.5x rupees => 8 pens = x rupees so 5 pens = 5x/8 rupees = 5/8 of total (note x rupees is total amt paid byamal) i.e 5/8 = 500/8% = 62.5% is the answer
Question 3
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I lost Rs.68 in two races. My second race loss is Rs.6 more than the first race. My friend lost Rs.4 more than me in the second race. What is the amount lost by my friend in the second race?
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40
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41
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44
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42
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Question 3 Explanation:
x + x+6 = rs 68 2x + 6 = 68 2x = 68-6 2x = 62 x=31 x is the amt lost in I race x+ 6 = 31+6=37 is lost in second race then friend lost 37 + 4 = 41 Rs
Question 4
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(1-1/6) (1-1/7).... (1- (1/ (n+4))) (1-(1/ (n+5))) = ?
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5/(n+5)
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1-1/(n+6)
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1/(n+5)
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4/(n+5)
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Question 4 Explanation:
leaving the first numerater and last denominater, all the numerater and denominater will cancelled out one another.
Question 5
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A face of the clock is divided into three parts. First part hours total is equal to the sum of the second and third part. What is the total of hours in the bigger part?
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12
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3
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6
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89
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Question 5 Explanation:
the clock normally has 12 hr three parts x,y,z x+y+z=12 x=y+z 2x=12 x=6 so the largest part is 6 hrs
Question 6
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With 4/5 full tank vehicle travels 12 mile,with 1/3 full tank. How much distance travels?
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11
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5
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15
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6
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Question 6 Explanation:
4/5 full tank= 12 mile 1 full tank= 12/(4/5) 1/3 full tank= 12/(4/5)*(1/3)= 5 miles
Question 7
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wind blows 160 miles in 330min. for 80 miles how much time required?
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160
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165
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170
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175
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Question 7 Explanation:
160 miles= 330 min 1 mile = 330/160 80 miles=(330*80)/160=165 min.
Question 8
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A person was fined for exceeding the speed limit by 10mph. Another person was also fined for exceeding the same speed limit by twice the same if the second person was travelling at a speed of 35 mph. Find the speed limit?
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10
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15
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35
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40
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Question 8 Explanation:
(x+10)=(x+35)/2 solving the eqn we get x=15
Question 9
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A sales person multiplied a number and get the answer is 3 instead of that number divided by 3. What is the answer he actually has to get?
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1/4
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1/3
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1/2
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1/5
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Question 9 Explanation:
Assume 1 1* 3 = 3 1*1/3=1/3 so he has to get 1/3
Question 10
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Low temperature at the night in a city is 1/3 more than 1/2 high as higher temperature in a day. Sum of the low temp and high temp is 100 c. Then what is the low temp?
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40
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30
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20
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50
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Question 10 Explanation:
let x be the highest temp. then, x+x/2+x/6=100. therefore, x=60 which is the highest temp and 100-x=40 which is the lowest temp
Question 11
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Solve the following question by using the matrix given below:- 9 10 11 12 5 13 17 19 4 8 12 16 7 2 3 5 Change row(3) by col(3) and then column(3) by column(1) then the element at (4 x 3) is
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7
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11
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12
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3
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Question 11 Explanation:
Given Matrix: Change row(3) by col(3) 9 10 11 12 5 13 17 19 4 8 12 16 7 2 3 5 Step 1: Change row(3) by col(3) 9 10 4 12 5 13 8 19 11 17 12 3 7 2 16 5 Step 3: Change col(3) by col(1) 4 10 9 12 8 13 5 19 12 17 11 3 16 2 7 5 the element at (4 x 3) is 7
Question 12
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Change all the elements diagonally by keeping 7 fixed then change the row(3) by column(3), find the element at position (4 x 3)
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3
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16
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10
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8
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Question 13
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Change column(1) by column(3) after that the row(2) by row(4) then which row contains only prime numbers
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2
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1
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4
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2 and 4 both
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Question 14
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Change row(2) by row(3) then row(3) by column(3), then the element at the position (2 x 3 ) is
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17
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13
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8
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5
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Question 15
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Change the row(2) by row(4) then row(4) by row(1), find the column whose sum of element is least
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1
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2
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3
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4
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Question 16
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Solve the following question using the matrix shown below:-
{a b c d
e f g h
i j k l
m n o p}
Exchange the row(2) by col(2) then the row(2) by row(4) then row(4) by col(4), the element at the position (4 x 3) is
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k
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f
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l
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j
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Question 17
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In the above question change the row(3) by column(3), then the element at (3 x 2) is
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l
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g
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j
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k
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Question 18
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Change all the rows by the column of same numbers, and doing the same by keeping the element d fixed for the next, then the element at position (3 x 3) is
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f
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h
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k
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n
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Question 19
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Change the column(2) by row(2) and then row(3) by row(2) then what is the element at (3 x 2).
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e
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b
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f
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j
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Question 20
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Change the row(3) by column(3) then what is the element at position (3 x 3)
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g
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c
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j
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k
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Question 21
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Solve the following question using the matrix given below:- a b c d p q r s u v w x 1 2 3 4 What is the value of trace(M), if a=1 and q+w=0.
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5
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0
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3
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1
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Question 21 Explanation:
The trace of an n-by-n square matrix is defined to be the sum of the elements on the main diagonal Trace = a + q + w + 4 Given, a = 1, q + w = 0 So Trace = 1 + 0 + 4 = 5
Question 22
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If we diagonally change the elements by keeping a fixed then the element above r is?
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c
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q
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w
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3
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Question 23
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Change the row(2) by row(4) then the column(3) by column(1) then what is the element between the vowel..
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2
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1
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p
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s
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Question 24
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If we change the numbers by the alphabets placed at the same position of alphabets then the value of det(M) is
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(pqv-wqb)cu
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2(pq-rs)(ab-cd)
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(pq-rs)/(ab-cd)
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0
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Question 25
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If we change the column(1) by column(4) and then row(1) by row(3) then the element above 2 is
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v
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b
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q
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none of these
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Question 26
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1,2,3,2,3,4,3,4,_____
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3
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4
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5
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6
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Question 26 Explanation:
1,2,3 2,3,4, 3,4,5
Question 27
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6,24,60,120,_____
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220
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210
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240
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260
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Question 28
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3,15,35,63,_____
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71
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73
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95
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99
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Question 28 Explanation:
3*5 =15 5*7 = 35 7*9 = 63 9*11 = 99
Question 29
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1,3,7,13,_____
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20
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17
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19
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21
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Question 29 Explanation:
1+ 2 =3 3 + 4 = 7 7 + 6 = 13 13 + 8 = 21
Question 30
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2,6,14,26,_____
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38
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36
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42
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34
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Question 30 Explanation:
2+4 = 6, 6+ 8 = 14 14 + 12 =26 26 + 16 = 42
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