 MIXED QUANTITY PRACTICE QUESTIONS FOR IBPS CLERK MAINS

1.In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 18 years is replaced by a new boy.Find the age of new boy.
(a)19 years
(b)14 years 6 month
(c)15 years
(d)14 years 8 month
(e)12 years

2.A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 % p.a. in 5 years. What is the sum?
A) Rs.  8045
B) Rs.  8925
C) Rs. 8900
D) Rs. 8032.45
E) none of these

3. A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:
A) 12 %
B) 13 %
C) 8 %
D) 12.5 %
E) none of these

4.Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:
A) 33.33%
B) 66.66%
C) 44%
D) 50%
E) None of these

5. A man purchases 10 Cows at Rs. 3000 each. 1 Cow died. He sold 2 Cows at 5% loss, at what rate he should sale the remaining Cows, so as to gain a Profit of 10 % on the total Cost?
A) Rs.4000
B) Rs.3000
C) Rs.3900
D) Rs. 4500
E) Rs. 4200

6. In what ratio must a person mix three kinds of wheat costing him Rs 1.20,Rs 1.44 and Rs 1.74 per Kg so that the mixture may be worth Rs 1.41 per Kg?
A.11:77:7
B.25:45:8
C.27:23:6
D.11:45:7
E. none of these

7. Anil, Mukesh and Ritesh started a business each investing Rs.20,000. After 4 month Anil withdraws Rs.6000, Mukesh withdraws Rs.8000, Ritesh invest Rs.6000 more At the end of the years, a total profit was Rs.65600. Find the share of Ritesh.
A. Rs. 20000
B. Rs. 28800
C. Rs. 17600
D. Rs. 19200
E. None Of These

8.  Joy started a business and he invested in 76000, After some month, amar came to join with him and invest 57000.The end of the year the total profit was divided among them into ratio form 2 : 1.Find after how many months amar join.
A. 4
B. 6
C. 8
D. 3
E. None Of These

9. A letter is randomly select from the word "STUDIOUS". What is the probability that the letter be a U?
A. 1/8
B. 1/4
C. 1/3
D. 1/2
E. 3/8

10. In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?
A.124045
B.20890
C. 133156
D. 120960
E. None of these

ANSWERS WITH EXPLANATIONS

1.(d) Total decrease = 20 * 2 = 40 month
= 3 years 4 month
So, age of new boy  = 18 years – 3 years 4 month
= 14 years 8 month

2.Sum = (100× S.I.)/ r × t
= (100 × 4016.25)/ 9 × 5 = Rs. 8925

3.S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.
S.I. for 5 years= Rs. 3675
Principal = Rs. (9800 - 3675) = Rs. 6125
Hence Rate = {(100 × 3675) / 6125 × 5} % = 12 %

4.. Lcm of 5&6 =30
Cost price of 30 articles= 5/6*30 = 25
Selling Price of 30 articles = 6/5*30 =36
% profit = (36-25)/25*100= 44%

5. Selling Price With Profit of 10 %  of total cost = 3000*10*110/100= 33000
Selling Price of 2 cows with 5% loss= 6000*95/100= 5700
Difference = 33000-5700= 27300;
So rate of the cows for selling to gain 10% profit on total = 27300/7= Rs. 3900
(because 1 cow died so remaining= 10-1-2=7)

6. In first case, We take 1. 20, 1.44 & 1. 41

In second case, We take 1.20, 1. 74 & 1. 41
so,
11 : 7

Since     I : II                        = 1.7
I : III                      = 11 : 7
So,          I : II : III               = 11 : 77 : 7

7.B
Ratio capital of Anil, mukesh and Ritesh.
= ( 20,000 x 4 + 14000 x 8 ) : ( 20,000 x 4 + 12000 x 8 ) : ( 20,000 x 4 + 26000 x 8 )
= 192000 : 176000 : 288000
Anil share = (65600 x 192 / 656 ) = 19200
Mukesh share = ( 65600 x 176 / 656 ) = 17600
Ritesh share = (65600 x 288 / 656 ) = 28800

8.   A      Step 1: we can assume that amar join into business after x months.So amar money was invest into (12 – x ) months.
Step 2: 76000 x 12 / 57000 x ( 12 – x ) = 2 / 1
912000 = 114000 ( 12 – x ) = 114 ( 12 – x ) = 912 = x = 4
After 4 months amar join the business.

9 .B
Probability of choosing u - 2/8 = 1/4

10.D
No. of ways = {8! /(2! * 2!)}×{4!/2!}= 10080 *12 =120960

MIXED QUANTITY PRACTICE QUESTIONS FOR IBPS CLERK MAINS Reviewed by mani on 17:34:00 Rating: 5