# SBI PO 2017 Prelim – Quant Test Day 19

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- Question 1 of 10
##### 1. Question

1 pointsCategory: Quantitative Aptitude**Direction: Q (1-5) Study the following graph and information carefully to answer the given questions**Two different finance companies (L&T and HDFC) declare fixed annual rate of interest on the amounts invested by investors. The rate of interest offered by these companies may differ from year to year depending on the variation in the economy of the country and the bank’s rate of interest. The annual rate of interest offered by the L&T and HDFC over the years is shown by the line graph provided below.

**A sum of Rs. 4.75 crore was invested in HDFC in 2006 for one year. How much more interest would have been earned if the sum was invested in L&T?**Correct**Explanation:**

DIFFERENCE =. [(10% of 4.75) – (8% of 4.75)]

= (2% of 4.75) crore

= 9.5 lakhsIncorrect**Explanation:**

DIFFERENCE =. [(10% of 4.75) – (8% of 4.75)]

= (2% of 4.75) crore

= 9.5 lakhs - Question 2 of 10
##### 2. Question

1 pointsCategory: Quantitative Aptitude**Direction: Q (1-5) Study the following graph and information carefully to answer the given questions**Two different finance companies (L&T and HDFC) declare fixed annual rate of interest on the amounts invested by investors. The rate of interest offered by these companies may differ from year to year depending on the variation in the economy of the country and the bank’s rate of interest. The annual rate of interest offered by the L&T and HDFC over the years is shown by the line graph provided below.

**If two different amounts in the ratio 8:9 are invested in L&T and HDFC respectively in 2009, then the amounts received after one year as interests from Companies P and Q are respectively in the ratio?**Correct**Explanation:**

Let the amounts invested in 2009 be Rs. 8x and Rs. 9xrespectively.

Then, interest received after one year from L&T= Rs. (6% of 8x)

=Rs.48x/100

Interest received after one year from HDFC= Rs. (4% of 9x)

=Rs.36x/100

Required ratio =(48x/100)/(36x/100)=4/3Incorrect**Explanation:**

Let the amounts invested in 2009 be Rs. 8x and Rs. 9xrespectively.

Then, interest received after one year from L&T= Rs. (6% of 8x)

=Rs.48x/100

Interest received after one year from HDFC= Rs. (4% of 9x)

=Rs.36x/100

Required ratio =(48x/100)/(36x/100)=4/3 - Question 3 of 10
##### 3. Question

1 pointsCategory: Quantitative Aptitude**Direction: Q (1-5) Study the following graph and information carefully to answer the given questions**Two different finance companies (L&T and HDFC) declare fixed annual rate of interest on the amounts invested by investors. The rate of interest offered by these companies may differ from year to year depending on the variation in the economy of the country and the bank’s rate of interest. The annual rate of interest offered by the L&T and HDFC over the years is shown by the line graph provided below.

**In 2007, a part of Rs. 30 crores was invested in L&Tand the rest was invested in HDFC for one year. The total interest received was Rs. 2.43 crores. What was the amount invested in Company P?**Correct**Explanation:**

Let Rs. x be invested in L&T in 2007, the amount invested in HDFC in

2007 = Rs. (30 – x) crores.

Total interest received from the two Companies after 1 year

= Rs. [(7.5% of x) + {9% of (30 – x)}] crore

= Rs. {2.7 -(1.5x/100)}crore.

2.7 -1.5x/100= 2.43

x = 18.Incorrect**Explanation:**

Let Rs. x be invested in L&T in 2007, the amount invested in HDFC in

2007 = Rs. (30 – x) crores.

Total interest received from the two Companies after 1 year

= Rs. [(7.5% of x) + {9% of (30 – x)}] crore

= Rs. {2.7 -(1.5x/100)}crore.

2.7 -1.5x/100= 2.43

x = 18. - Question 4 of 10
##### 4. Question

1 pointsCategory: Quantitative Aptitude**Direction: Q (1-5) Study the following graph and information carefully to answer the given questions****An investor invested a sum of Rs. 12 lakhs in L&T in 2005. The total amount received after one year was re-invested in the same Company for one more year. The total appreciation received by the investor on his investment was?**Correct**Explanation:**

Amount received from L&T after one year (i.e., in 2006) on investing Rs. 12 lakhs in it

= Rs. [12 + (8% of 12)] lakhs

= Rs. 12.96 lakhs.

Appreciation received on investment during the period of two years

= Rs. (14.256 – 12) lakhs

= Rs. 2.256 lakhs = Rs. 2, 25,600.Incorrect**Explanation:**

Amount received from L&T after one year (i.e., in 2006) on investing Rs. 12 lakhs in it

= Rs. [12 + (8% of 12)] lakhs

= Rs. 12.96 lakhs.

Appreciation received on investment during the period of two years

= Rs. (14.256 – 12) lakhs

= Rs. 2.256 lakhs = Rs. 2, 25,600. - Question 5 of 10
##### 5. Question

1 pointsCategory: Quantitative Aptitude**Direction: Q (1-5) Study the following graph and information carefully to answer the given questions****An investor invested Rs. 5 crores in HDFC in 2003. After one year, the entire amount along with the interest was transferred as investment to L&T in 2004 for one year. What amount will be received from L&T, by the investor?**Correct**Explanation:**

Amount received from HDFC after one year on investment of Rs. 5 lakhs in the year 2003

= Rs. [5 + (6.5% of 5)] crores

= Rs. 5.325 crores.

Amount received from L&T after one year on investment of Rs. 5.325 crores in the year 2004

= Rs. [5.325 + (9% of 5.325)] crores

= Rs. 58,042,500Incorrect**Explanation:**

Amount received from HDFC after one year on investment of Rs. 5 lakhs in the year 2003

= Rs. [5 + (6.5% of 5)] crores

= Rs. 5.325 crores.

Amount received from L&T after one year on investment of Rs. 5.325 crores in the year 2004

= Rs. [5.325 + (9% of 5.325)] crores

= Rs. 58,042,500 - Question 6 of 10
##### 6. Question

1 pointsCategory: Quantitative AptitudeThe sale of a shop increased from 19,00,000 to 24,70,000 in six years. What is the average percent increase of population per two year?

Correct**Explanation**:

Increase=30% in six year

Increase =10% per two yearIncorrect**Explanation**:

Increase=30% in six year

Increase =10% per two year - Question 7 of 10
##### 7. Question

1 pointsCategory: Quantitative AptitudeAshok’s age is 1/4 of his father’s age. Ashok’s father’s age will be twice Harish’s age after 10 years. If Harish’s 12th birthday was celebrated three years ago, then what is Ashok’s present age?

Correct**Explanation:**

Harish’s present age = 12 + 3 = 15 years

F + 10 = 2(15 + 10)

or, F =40 ;

So Ashok’s present age = 1/4 × 40 = 10 yearsIncorrect**Explanation:**

Harish’s present age = 12 + 3 = 15 years

F + 10 = 2(15 + 10)

or, F =40 ;

So Ashok’s present age = 1/4 × 40 = 10 years - Question 8 of 10
##### 8. Question

1 pointsCategory: Quantitative AptitudeJunaid decided to spend 59% of his salary on travelling. On completion of his travel, he realized that he had spent only Rs. 17228, which was 80% of what he had decided to spent. How much is Junaid’s salary?

Correct**Explanation:**

59 % of x=17228/0.8

x=36500Incorrect**Explanation:**

59 % of x=17228/0.8

x=36500 - Question 9 of 10
##### 9. Question

1 pointsCategory: Quantitative AptitudeIn a family, there are 15 males and 10 females. Three persons are selected at random. The probability that 1 female and 2 male are selected is:

Correct**Explanation:**

^{10}C_{1}*^{15}C_{2}/^{25}C_{3}=21/46Incorrect**Explanation:**

^{10}C_{1}*^{15}C_{2}/^{25}C_{3}=21/46 - Question 10 of 10
##### 10. Question

1 pointsCategory: Quantitative AptitudeFour persons are chosen at random from a group of 2 men, 3 women and 4 children. The chance that exactly 2 of them are children, is:

Correct**Explanation:**

^{4}C_{2*}[^{3}C_{1*}^{2}C_{1}+^{3}C_{2 }+^{2}C_{2}]/^{9}C_{4}=10/21Incorrect**Explanation:**

^{4}C_{2*}[^{3}C_{1*}^{2}C_{1}+^{3}C_{2 }+^{2}C_{2}]/^{9}C_{4}=10/21

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