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# Arithmetic Aptitude :: Simplification

Home > Arithmetic Aptitude > Simplification > General Questions

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31. An Office used three types of envelopes: small,medium and large. They used 80 small envelopes. The no.of Medium envelopes used was 5 times, the no.of small envelopes plus 5/20 of the number of envelopes. The no.of.large envelopes was equals to the no.of small envelopes plus 5/20 of the no.of medium envelope. Altogether, How many envelope did they use?

Answer: Option B

Explanation:

Lets the total no. of envelopes = x
No. of small envelopes = 80
No. of medium envelopes = [5*80+5/20*x] = [400+5/20*x]
No. of large envelopes = [80 +5/20(400+5/20*x)] = [180+25/400*x]
Sum of small, medium and large envelopes = x
=> 80 + 400+5/20*x + 180+25/400*x = x
=> 660 + 5/16*x = x
=> 11/16*x = 660
=> x = 960

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32. Find the approximate value of the following equation.
6.23% of 258.43 - ? + 3.11% of 127 = 13.87

Answer: Option B

Explanation:

[(6.23/100)*258.43]-'X'+[(3.11/100)*127]=13.87
16.100189-X+3.9497=13.87
X=6.179889

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33. The age of the grand father is the sum of his three grandsons.The second is 2 year younger than first one and the third one is 2 year younger than the second one. Then what will be the age of the grandfather?

Answer: Option A

Explanation:

Lets assume second grandson = x year.
So, first grandson age = (x+2) year ,
third grandson = (x-2) year
So, x+2+x+x-2=3x
i.e grandfather age is 3 times as older as his second grandson

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34. If x(a) = a^2+2a-1, then x(8)-x(5) =

Answer: Option B

Explanation:

x(8) = 64 + 16 - 1 = 79
x(5) = 25 + 10 - 1 = 34
So, x(8)-x(5) = 79 - 34 = 45

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35. If 3/p = 6 and 3/q = 15 then p - q = ?

Answer: Option C

Explanation:

Given, p=1/2,q=1/5
So, p-q = (3/6 - 3/15) = (1/2 - 1/5) = 3/10

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36. Which of the following values of 'n' satisfies the in-equality n2 - 24n + 143 < 0?

Answer: Option C

Explanation:

n^2 - 24n + 143 < 0
=> (n-11)(n-13) < 0
=> 11 < n < 13

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37. Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?

Answer: Option C

Explanation:

As per question R > Q > T
So, R - Q = Q - T and R + T = 50
By solving above 2 condition.
=> Q = 25
As the difference between R & Q and Q & T is same
So it is 25 years

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38. A box contains 90 bolts each of 100 gm and 100 bolts each of 150 gm. If the entire box weighs 35.5 kg., then the weight of the empty box is :

Answer: Option B

Explanation:

Lets assume the weight of Empty box = x Kg.
90 * 0.100 + 100 * 0.150 + x = 35.5
Then x = 10.5 kg

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39. One year payment to the servant is Rs. 200 plus one shirt. The servant leaves after 9 months and receives Rs. 120 and a shirt.Then find the price of the shirt.

Answer: Option C

Explanation:

Servant (1 year) or (12 months) payment = (Rs. 200 + shirt) ------(1)
Servant recieve payment after 9 months = (Rs 120 + shirt) --(2)
By eq. (1) and (2)
3 months = Rs. 80
So, 12 months = (80 * 12)/3= 320
By eq. (1)
200 + shirt = 320
=> shirt price = Rs. 120

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40. If 2x+y = 11, 2y+z = 12 and z+2x = 8, find the value of 2x + 3y +4z.

Answer: Option A

Explanation:

Without Finding x & y & z
2x+y = 11 -->(1) 2y+z = 12 -->(2) z+2x = 8 ---> (3)
(2)* 2=> 4y+2z=24-----(A)
(3)* 2=> 2z+4x=16-----(B)
(1)*-1=> -2x-y =-11-----(C)
Add (A),(B) and (C)
2x + 3y +4z=29

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