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# Maths Questions for DSSSB & KVS/NVS Exams Q1. A person distributes his pens among four friends A, B, C, D in the ratio 1/3 ∶1/4  ∶1/5  ∶1/6. What is the total number of pens that the person should have?
(a) 57
(b) 65
(c) 75
(d) 45

Q2. If A = 2/3 of B and B = 4/5 of C, then A : B : C is
(a) 12 : 8 : 10
(b) 15 : 10 : 8
(c) 10 : 15 : 12
(d) 8 : 12 : 15

Q4. The third proportional of 12 and 18 is
(a) 3
(b) 6
(c) 27
(d) 144

Q5. The ratio in which a man must mix rice at Rs. 10.20 per kg and Rs. 14.40 per kg so as to make a mixture worth Rs. 12.60 per kg is
(a) 4 : 3
(b) 2 : 5
(c) 1 : 24
(d) 3 : 4

Q6. Two vessels A and B contain milk and water mixed in the ratio 4 : 3 and 2 : 3. The ratio in which these mixtures mixed to form a new mixture containing half milk and half water is
(a) 7 : 5
(b) 6 : 5
(c) 5 : 6
(d) 4 : 3

Q7. Three numbers are in the ratio of 1 : 2 : 3. By adding 5 to each of them, the new numbers are in the ratio 2 : 3 : 4. The number are:
(a) 10, 20, 30
(b) 15, 30, 45
(c) 1, 2, 3
(d) 5, 10, 15

Q8. The proportion of acid and water in three samples is 2 : 1, 3 : 2 and 5 : 3. A mixture containing equal quantities of all three samples is made. The ratio of acid and water in the mixture is:
(a) 12 : 133
(b) 227 : 133
(c) 3 : 8
(d) 5 : 11

Q9. Two alloys are both made up of copper and tin. The ratio of copper and tin in the first alloy is 1 : 3 and in the second alloy is 2 : 5. In what ratio should the two alloy be mixed to obtain a new alloy in which the ratio of tin and copper be 8 : 3?
(a) 3 : 5
(b) 4 : 7
(c) 3 : 8
(d) 5 : 11

Q10. Rs. 700 is divided among A, B, C in such a way that the ratio of the amount of A and B is 2 : 3 and that of B and C is 4 : 5. Find the amount (in Rs.) each received, in the order A, B, C.
(a) 150, 250, 300
(b) 160, 240, 300
(c) 150, 250, 290
(d) 150, 240, 310

Solutions

S1. Ans.(a)
Sol. A : B : C : D = 1/3 ∶1/4  ∶1/5 ∶1/6
= 20 : 15 : 12 : 10
= 57

S2. Ans.(d)
Sol. A : B = (2 : 3) ×4
B : C = (4 : 5)×3
A : B : C = 8 : 12 :15

S4. Ans.(c)
Sol. 12  18    x
12/18 = 18/x
12x = 18 × 18
x = 324/12
x = 27

S7. Ans.(d)
Sol. ( x + 5)/(2x + 5)=2/3
3x + 15 = 4x + 10
x = 5
Numbers = 1 × 5, 2 × 5, 3 × 5
= 5, 10, 15

S8. Ans.(b)
Sol.
2 : 1             3 : 2            5 : 3
↓×40           ↓×24           ↓×15
80 : 40    72 : 48   75 : 45
(80 + 72 + 75) : (40 + 48 + 45)
227 : 133

S10. Ans.(b)
Sol. A : B = 2 : 3
B : C = 4 : 5
A : B : C = 8 : 12 : 15
35x = 700
x = 20
A = 160
B = 240
C = 300