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# Maths Quiz for KVS/NVS & CTET Exams

Q1. A train covers a distance A and B in 45 minutes. If the speed is decreased by 5 km/hr, then it takes 48 minutes to cover the same distance. Find the distance between A and B (in km.) and the speed of a train?
(a) 60 km, 75 km/hr
(b) 60 km, 80 km/hr
(c) 40 km, 80 km/hr
(d) 70 km, 75 km/hr

Q2.A train covers a distance between A and B in 48 minutes. The another train having speed 6 km/hr. less than the first train covers the distance B to A in 60 minutes. Find the distance between A and B?
(a) 24 km
(b) 48 km
(c) 40 km
(d) 15 km

Q3. The speed of two trains are in the ratio 7 : 9. They are moving in the opposite directions on parallel tracks. The first train crossed a telegraph pole in 4 seconds whereas the second train crossed the same pole in 6 seconds. Find the time taken by the train to cross each other completely.
(a) 2 1/6seconds
(b) 3 1/6seconds
(c) 4 2/8seconds
(d) 5 1/8seconds

Q5. A book vendor sold a book at a loss of 20%. Had he sold it for Rs. 108 more, he would have earned a profit of 30%. Find the cost price of the book?
(a) Rs. 216
(b) Rs. 648
(c) Rs. 240
(d) Rs. 432

Q6. An increase of Rs. 3 in the selling price of an article turns a loss of 7 1/2% into gain of 7 1/2%. The cost price (in Rs.) of an article is
(a) 25
(b) 20
(c) 15
(d) 10

Q7. A book seller sells a book at a profit of 10%. If he had bought it at 4% less and sold it for Rs. 6 more, he would have gained 18 3/4%. The cost price of the book is
(a) Rs. 130
(b) Rs. 140
(c) Rs. 150
(d) Rs. 160

Q8. A shopkeeper bought 80 kg of sugar at the rate of Rs. 13.50 per kg. He mixed it with 120 kg of sugar costing Rs. 16 per kg. In order to make a profit of 20%, he must sell the mixture at
(a) Rs. 18 per kg
(b) Rs. 17 per kg
(c) Rs. 16.40 per kg
(d) Rs. 15 per kg

Q9. By selling an article for Rs. 480 a person lost 20%. For what should he sell it to make a profit 20%?
(a) Rs 800
(b) Rs.760
(c) Rs. 720
(d) Rs. 680

Q10. In an election, every voter has to cast his vote for two candidates. Half of the total voters give one vote to A and other vote to B, C and D in the ratio 3 : 2 : 1. The half of the rest votes give one vote to B and other vote to C and D in the ratio 2 : 1. The half of the remaining voters give equal votes to C and D. Other 840 voters did not cast their votes. Find the number of votes received by C.
(a) 2000
(b) 6005
(c) 3080
(d) 3000

Solutions

S1. Ans.(b)
Sol.
v1×t1=v2×t2
v×45/60=(v-5)×48/60
15v = 16v – 80
v = 80 km/h
D = v × t
=80×45/60
= 60 km

S2. Ans.(a)
Sol.
v1×t1=v2 t2
v×48/60=(v-6)×60/60
4v = 5v – 30
v = 30 km/h
D = v × t
=30×48/60
= 24 km

S3. Ans.(d)
Sol.
v1=7 (Let)
v2 = 9 (Let)
l1/7=4
l1=28
l2/9=6
l2=54
t=(28+54)/(7+9)
t=82/16
t=41/8
5 1/8

S4. Ans.(a)
Sol. To solve such questions, we keep 99 as it is in second part, but in part first, we convert all 9’s into zeros.

S5. Ans.(a)
Sol. 50/108=100/y
y = Rs. 216

S6. Ans.(b)
Sol. 15/3=100/y
y = 20

S8. Ans.(a)
Sol. C.P1=80×13.5
= 1080
C.P2=1920
Total C.P = 3000
S.P.=3000×120/100
S.P. = 3600
/kg S.P.=3600/200
= 18/kg

S9. Ans.(c)
Sol.
(S.P.1)/(100±a)=(S.P.2)/(100±b)
=480/80=x/120
x = 720