alligation and mixtures mcq pdf Model Questions & Answers, Practice Test for ibps rrb so officer sclae 2 3 single exam 2024
ibps rrb so officer sclae 2 3 single exam 2024 SYLLABUS WISE SUBJECTS MCQs
Number System
Lcm & Hcf
Ratio & Proportion
Percentage
Time & Work
Mensuration
Advance Math
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Average
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Alligation & Mixtures
Compound Interest
There are 65 students in a class. 39 rupees are distributed among them so that each boy gets 80 P and each girl gets 30 P. Find the number of boys and girls in that class.
Answer: (a)
Here, alligation is applicable for 'money per boy or girl".
Mean value of money per student = $3900/65$ = 60P
∴ Boys : Girls = 3 : 2
∴ Number of boys = $65/{3 + 2}$ × 3 = 39
and number of girls = 65 - 39 = 26
Two vessels A and B contain milk and water mixed in the ratio 8 : 5 and 5 : 2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 69$3/13$ % milk, is :
Answer: (d)
Let cost of 1 litre milk be Rs. 1.
Mlk in 1 litre mix. in B = $8/13$ litre, C.P. of a litre mix. in B = Rs.$5/7$
Milk in 1 litre mix. in B = $5/7$ litre, C.P. of 1 litre mix. in B = Rs. $5/7$
Milk in 1 litre of final mix. = $(900/13 × 1/100 × 1) = 9/13$ litre;
mean price = Rs. $9/13$
By the rule of alligation, we have:
C.P. of 1 litre mixture in A & B below in Figure
∴ Required ratio = $2/91 : 1/13$ = 2 : 7
In what ratio should water be mixed with soda costing Rs.12 per litre so as to make a profit of 25% by selling the diluted liquid at Rs.13.75 per litre ?
Answer: (a)
In order to sell at a 25% profit by selling at 13.75 the cost price should be 13.75/1.25 = 11.
Also since water is freely available, we can say that the ratio of water and soda must be 1: 11.
Three vessels whose capacities age 3 : 2 : 1 are completely filled with milk mixed with water, the ratio of milk and water in the mixture of vessels are 5 : 2, 4 : 1 and respectively. Taking 1/3 of first 1/2 of second and turns a new mixtures kept in new vessel is prepared, third mixture is:
Answer: (b)
M | : | W | ||
1st | (5 | : | 2 | = 7) × 5 × 3 |
2nd | (4 | : | 1 | = 5) × 7 ×2 |
3rd | (4 | : | 1 | = 5) × 7 × 1 |
or, (75 : 30) × $1/3 (56 : 14) × 1/2 (28 : 7 ) × 1/7$
25 : 10
25 : 7
4 : 1
57 : 18 = 75
% of water in mixture
= $18/75 × 100 = 24%$
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