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QUANT QUIZ FOR IBPS SBI PO , RAILWAYS GROUP D & NTPC 2019 : Part – 47

QUANT QUIZ FOR IBPS SBI PO , RAILWAYS GROUP D & NTPC 2019 : Part - 47

QUANT QUIZ FOR IBPS SBI PO , RAILWAYS GROUP D & NTPC 2019 : Part – 47

 

Q1. The average of 11 numbers is 40. If the average of first six numbers is 36, and that of last six numbers is 42, then find the middle number.

(a) 28

(b) 32

(c) 22

(d) 43

 

Q2. The heights of Amman’s family members are given in cms as 165, 180, 181, 163, 172, 180, and 162. The median height of the family will be?

(a) 180

(b) 170

(c) 131

(d) 172

 

Q3. The sum of three consecutive integers is 30. Which of the following is the largest among the three?

(a) 12

(b) 13

(c) 14

(d) 11

 

Q4. If the length of a rectangle is increased by 20% and the breadth is decreased by 10%, what will be the effect on its area?

(a) 8% increase

(b) 8% decrease

(c) 2% increase

(d) 2% decrease

 

Q5. A can do a work in 15 days, where B can do the same work in 25 days in how many days A and B together can do the same work

(a) 9 days

(b) 75/8 days

(c) 83/8 days

(d) 11 days

 

Q6. The average age of a man and his son is 44 years. The ratio of their ages is 31:13 respectively. What is the son’s age?

(a) 35 years

(b) 26 years

(c) 15 years

(d) 20 years

 

Q7. A train crossed a platform in 25 seconds. The length of the platform is 240 m. What is the length of train?

(a) 140 m

(b) 200 m

(c) 180 m

(d) Cannot be determined

 

Q8. Aman bought a piece of cloth for Rs. 950 and spent Rs. 300 on designing it. At what price should he sell it to make 30% profit?

(a) Rs. 1,650

(b) Rs. 1,550

(c) Rs. 1,525

(d) Rs. 1,625

 

Q9. The cost of 5 chairs and 8 tables is Rs. 6,574. What is the cost of 10 chairs and 16 tables?

(a) Rs. 15,674

(b) Rs. 16,435

(c) Rs. 13,148

(d) Cannot be determined

 

Q10. 20 persons completed a job in 8 days. How many days will 16 persons take to complete the job?

(a) 10 days

(b) 11 days

(c) 12 days

(d) 8 days

 

SOLUTIONS:-

Sol 1. (a) The middle number = sum of first six number + sum of last six number – sum of all 11                            numbers = (6 × 36) + (6 × 42) – (11 × 40)

= 216 + 252 – 440 = 28

Sol 2. (d) Arranging heights in ascending order 162, 163, 165, 172, 180, 180, 181

Median = n+1/2 th term (for n = odd)

Hence median = 172 (4th term)

Sol 3. (d) Let the three consecutive integers be x, x + 1 and x + 2 respectively.

3𝑥 + 3 = 30 ⇒ 𝑥 = 9

Largest integer = x + 2 = 9 + 2= 11

Sol 4. (a) Effect = 20 – 10 – 20 ×10/100

= 20 – 10 – 2 = 8

Here 8 is +ive, so 8% increase

Sol 5. (b) A → 15 day

B → 25 day

A + B → 1/15 + 1/25 = 8/75

(A + B) can do work in 75/8 days

Sol 6. (b) Let the man’s age be 31 x years and that of his son be 13x years.

ATQ, 31x + 13x = 2 × 44

44𝑥 = 88 ⇒ 𝑥 = 88/44 = 2

Son’s age = 13x = 13 × 2 = 26 years

Sol 7. (d) Speed of train = Length of (train + platform)/Time taken to cross the platform

Speed of train is unknown. Hence, length can’t be determined.

Sol 8. (d) Actual cost price of cloth = Rs. (950 + 300) = Rs. 1250

To gain 30%, S.P. = Rs. (130/100 × 1250) = Rs. 1625

Sol 9. (c) 5 chairs + 8 tables = Rs. 6574

∴ 10 𝑐ℎ𝑎𝑖𝑟𝑠 + 16 𝑡𝑎𝑏𝑙𝑒𝑠 = 6574 × 2 = 𝑅𝑠. 13148

Sol 10. (a) 20 persons do a job in → 8 day

1 person do a job in → 8 × 20 day

16 persons do a job → 8×20 16 = 10 days

 

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May 27, 2019

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