Mixed Quantitative Aptitude Questions Set 139

1. Rs. 1800 is given at 20% per annum SI while Rs (1800 – P) is given at 30% per annum CI. If the difference between both interests at the end of two years is Rs 315. Find P.
200
400
300
100
500
Option C
Total S.I. = 1800ร2ร20/ 100 = Rs. 720
Total C.I. = (1800 โ ๐) [(1 + 30 100 ) 2 โ 1] = (1800 โ ๐) ร 69/ 100
ATQ, (1800 โ ๐) ร 69/ 100 โ 720 = 315
(1800 โ ๐) = 100/ 69 ร 1035
1800 โ ๐ = 1500
โ ๐ = 300

2. Three partners A , B and C invested their amounts in ratio 7:5:3. At the end of six months, A withdraws his amount such that his total investment will be equal to Cโs initial investment. If Cโ share in annual Profit is Rs. 3600. Aโs annual profit will be ?
5000
4000
3000
6000
2000
Option D
Let their initial investments be 7๐ฅ, 5๐ฅ and 3๐ฅ respectively.
Ratio of their profit = 7๐ฅ ร 6 + 3๐ฅ ร 6 โถ 5๐ฅ ร 12 โถ 3๐ฅ ร 12
= 60๐ฅ โถ 60๐ฅ โถ 36๐ฅ = 15 โถ 15 โถ 9
Aโs profit = 3600 ร 39/ 9 ร 15/ 39
= Rs. 6000

3. Bโs age is 10 years older than A. If the ratio of Bโs age 11 years hence and Cโs present age is 3:2. At present Cโs age is thrice Aโs age. What will be the age of C after 7 years?
22
27
25
28
21
Option C
Let, age of A be โ๐ฅโ years.
Then age of B = โ๐ฅ + 10โ years
And age of C = 3๐ฅ years
ATQ, (๐ฅ+10+11)/ 3๐ฅ = 3/ 2
(๐ฅ + 21)2 = 9๐ฅ
7๐ฅ = 42
โ ๐ฅ = 6
Age of C after 7 years = 3๐ฅ + 7
= 18 + 7 = 25 years

4. If the ratio of curved surface area to the volume of cylinder is 4:7 while the ratio of diameter to the height of cylinder is 14:5. Find the total surface area of cylinder.?
118
120
125
110
132
Option E
2๐๐โ/ ๐๐^ 2โ = 4/ 7
2 ๐ = 4/ 7
๐ = 7/ 2
2๐/ โ = 14/ 5
โ โ = 5 /2
Total surface area = 2 ร 22/ 7 ร 7 /2 ( 7 /2 + 5/ 2 )
= 22 ร 12 /2 = 132

5. A and B sold two articles at 25% profit and 40% profit respectively. If total profit is Rs. 178 and the cost price of A is Rs 120 less than B. find the CP of B.
280
200
320
220
300
Option C
Let, CP of B be ๐ฅ + 120
And that of A be ๐ฅ
Then, 25/100 ร ๐ฅ + 40/100 (๐ฅ + 120) = 178
65๐ฅ /100 + 48 = 178
๐ฅ = 200
C.P. of B = ๐ฅ + 120 = Rs. 320

6. Directions(6-10): What approximate value will come in place of question mark ‘?’ in the following questions.

7. 24.001 ร 14.999 ร 9.998 = ?
3230
3600
3125
3000
3250
Option B
24.001 ร 14.999 ร 9.998 = ?
24 ร 15 ร 10 โ 3600

8. 14.003โ?+ 53.0345โ? = 67/26.999 ร (? )
729
772
670
789
770
Option A
14.003โ?+ 53.0345โ? = 67/26.999 ร (? )
14โ?+ 53โ? = 67/27 ร?
67โ?= 67/ 27 ร?
โ? = 27
? = 729

9. 10.11ร36.93+โ48.875 ร 19.99 = 17.231 ร โ?
700
900
600
800
1000
Option B
10.11ร36.93+โ48.875 ร 19.99 = 17.231 ร โ?
10 ร 37 + 7 ร 20 = 17 ร โ?
โ? = 30
? = 900

10. 1898.88 รท 189.921 + 9.99 + (? )^2 = 83.89
6
7
9
8
4
Option D
1898.88 รท 189.921 + 9.99 + (? )^2 = 83.89
โ 1900 รท 190 + 10 +?^2 = 84
?^ 2 = 84 โ 10 โ 10
? = 8

11. 39.7% ๐๐ 801 โ 250.17 = ? โ63% ๐๐ 801
567
647
663
574
600
Option D
39.7% ๐๐ 801 โ 250.17 = ? โ63% ๐๐ 801
โ 40 ร 8 โ 250
=? โ63 ร 8
?= 574

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