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SBI PO Exam Quantitative Aptitude Study Material

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Number Series

Find two mean proportionals between 2 and 54

a) 6 and 18
b) 6 and 12
c) 12 and 18
d) 6 and 9

✔Answer

✔Solution

Correct Answer Is : 6 and 18

Solution Is : Average age of 7 children = 12 years.
Therefore, Excess of average age than the age of child died
= 12 - 6. = 6 years.
Therefore, Increase in ages of the remaining 6 children = 6/6 = 1 years
Therefore, ages of remaining 6 children = 12 + 1 = 13 years.

A sum of 300 is divided among P, Q and R in such a way that Q gets 30 more than P and R gets 60 more than g. The ratio of their share is

a) 5 : 3 : 2
b) 2 : 3 : 5
c) 3 : 2 : 5
d) 2 : 5 : 3

✔Answer

✔Solution

Correct Answer Is : 2 : 3 : 5

Solution Is : (2) Q=P+30⇒Q-P=30 and
R-Q=60=2*30
Required ratio=2:3:5
Look: 3-2=1,5-3=2

Mohan gets 3 marks for each correct sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is :

a) 15
b) 20
c) 25
d) 10

✔Answer

✔Solution

Correct Answer Is : 20

Solution Is :

A man invested 1/3 of his capital at 7%, 1/4 at 8% and the remainder at 10%. If his annual income is Rs. 561, the capital is

a) Rs. 5400
b) Rs. 6000
c) Rs. 6600
d) Rs. 7200

✔Answer

✔Solution

Correct Answer Is : Rs. 6600

Solution Is :

And a,b,c are rational numbers,Then a+b+c is equal to

a) 0
b) 1
c) 2
d) 3

✔Answer

✔Solution

Correct Answer Is : 0

Solution Is :

An employer reduces the number of employees in the ratio 8 : 5 and increases their wages in the ratio 7 : 9. As a result, the overall wages bill is

a) Increased in the ratio 56 : 69
b) Decreased in the ratio 56 : 45
c) Increased in the ratio 13 : 17
d) Decreased in the ratio 17 : 13

✔Answer

✔Solution

Correct Answer Is : Decreased in the ratio 56 : 45

Solution Is : Required ratio = 87 : 59 =56:45

If the ratio of areas of two similar triangles is 9 : 16, then the ratio of their corresponding sides is

a) 3 : 5
b) 3 : 4
c) 4 : 5
d) 4 : 3

✔Answer

✔Solution

Correct Answer Is : 3 : 4

Solution Is :

465 coins consists of 1 rupee, 50 paise and 25 paise coins. Their values are in the ratio 5 : 3 : 1. The number of each type of coins respectively is,

a) 155, 186, 124
b) 154, 187, 124
c) 154, 185, 126
d) 150, 140, 175

✔Answer

✔Solution

Correct Answer Is : 155, 186, 124

Solution Is :

The cost of a piece of diamond varies with the square of its weight. A diamond of Rs. 5,184 value is cut into 3 pieces whose weights are in the ratio 1 : 2 : 3. Find the loss involved in the cutting.

a) Rs. 3,068
b) Rs. 3,088
c) Rs. 3,175
d) Rs. 3,168

✔Answer

✔Solution

Correct Answer Is : Rs. 3,168

Solution Is : If the weight of a piece of diamond be 6x units, then Original price a(6x)^{2^{=36kx^{2^{Therefore 36kx^{2^{=5184 ….(i)

Again, New price
=k(x^{2^{+4x^{2^{+9x^{2^{)=14kx^{2^{=(14*5184)/36 =Rs.2016

Therefore, Loss= 5184-2016 =Rs.3168}}}}}}}}}}}}}}

The L.C.M. of three different numbers is 120.Which of the following cannot be their H.C.F.?

a) 8
b) 12
c) 24
d) 35

✔Answer

✔Solution

Correct Answer Is : 35

Solution Is : LCM = 2 x 2 x 2 x 3 x 5 Hence, HCF = 4, 8 or 12

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SBI PO Exam Quantitative Aptitude Study Material

Number Series

Find two mean proportionals between 2 and 54

Correct Answer Is : 6 and 18

Solution Is : Average age of 7 children = 12 years. Therefore, Excess of average age than the age of child died = 12 - 6. = 6 years. Therefore, Increase in ages of the remaining 6 children = 6/6 = 1 years Therefore, ages of remaining 6 children = 12 + 1 = 13 years.

A sum of 300 is divided among P, Q and R in such a way that Q gets 30 more than P and R gets 60 more than g. The ratio of their share is

Correct Answer Is : 2 : 3 : 5

Solution Is : (2) Q=P+30⇒Q-P=30 and R-Q=60=2*30 Required ratio=2:3:5 Look: 3-2=1,5-3=2

Mohan gets 3 marks for each correct sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is :

Correct Answer Is : 20

Solution Is :

A man invested 1/3 of his capital at 7%, 1/4 at 8% and the remainder at 10%. If his annual income is Rs. 561, the capital is

Correct Answer Is : Rs. 6600

Solution Is :

And a,b,c are rational numbers,Then a+b+c is equal to

Correct Answer Is : 0

Solution Is :

An employer reduces the number of employees in the ratio 8 : 5 and increases their wages in the ratio 7 : 9. As a result, the overall wages bill is

Correct Answer Is : Decreased in the ratio 56 : 45

Solution Is : Required ratio = 8*7 : 5*9 =56:45

If the ratio of areas of two similar triangles is 9 : 16, then the ratio of their corresponding sides is

Correct Answer Is : 3 : 4

Solution Is :

465 coins consists of 1 rupee, 50 paise and 25 paise coins. Their values are in the ratio 5 : 3 : 1. The number of each type of coins respectively is,

Correct Answer Is : 155, 186, 124

Solution Is :

The cost of a piece of diamond varies with the square of its weight. A diamond of Rs. 5,184 value is cut into 3 pieces whose weights are in the ratio 1 : 2 : 3. Find the loss involved in the cutting.

Correct Answer Is : Rs. 3,168

Solution Is : If the weight of a piece of diamond be 6x units, then Original price a(6x)2=36kx2 Therefore 36kx2=5184 ….(i) Again, New price =k(x2+4x2+9x2)=14kx2 =(14*5184)/36 =Rs.2016 Therefore, Loss= 5184-2016 =Rs.3168

The L.C.M. of three different numbers is 120.Which of the following cannot be their H.C.F.?

Correct Answer Is : 35

Solution Is : LCM = 2 x 2 x 2 x 3 x 5 Hence, HCF = 4, 8 or 12

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Solution Is : Average age of 7 children = 12 years.
Therefore, Excess of average age than the age of child died
= 12 - 6. = 6 years.
Therefore, Increase in ages of the remaining 6 children = 6/6 = 1 years
Therefore, ages of remaining 6 children = 12 + 1 = 13 years.

Solution Is : (2) Q=P+30⇒Q-P=30 and
R-Q=60=2*30
Required ratio=2:3:5
Look: 3-2=1,5-3=2

Solution Is : Required ratio = 87 : 59 =56:45

Solution Is : If the weight of a piece of diamond be 6x units, then Original price a(6x)^{2^{=36kx^{2^{Therefore 36kx^{2^{=5184 ….(i)

Again, New price
=k(x^{2^{+4x^{2^{+9x^{2^{)=14kx^{2^{=(14*5184)/36 =Rs.2016

Therefore, Loss= 5184-2016 =Rs.3168}}}}}}}}}}}}}}