Q. A student has to secure 35% marks to pass. He secured 650 marks and failed by 50 marks. Find the maximum marks -
1) 1000
2) 1500
3) 2000
4) 2500
Q. The simple interest and compound interest of a certain sum compounded annually for 2 years are ₹ 900 and ₹ 954 respectively. What is the principal amount?
1) ₹ 3,700
2) ₹ 3,650
3) ₹ 3,850
4) ₹ 3,750
Q. Two numbers are in the ratio 3 : 7. If 8 is added to both these numbers, then their ratio becomes 5 : 9. What are these numbers?
1) 12, 28
2) 6, 14
3) 15, 35
4) 24, 56
Q. If the length of a rectangle is increased to its three times and the breadth is decreased to its half, then the ratio of the area of a given rectangle to the area of the new rectangle is -
1) 3 :1
2) 2 :3
3) 1:3
4) 3 : 2
Q. Eighteen persons working 8 hours a day can complete 3 units of work in 10 days. How many days are required by 25 persons to complete 5 units of work working 6 hours a day?
1) 12
2) 16
3) 10
4) 20
Q. In a triangle ABC AB : AC = 5:2, BC = 9 cm. BA is produced to D and the bisector of the Angle CAD meets BC produced at E. What is the length (in cm) of CE?
1) 9
2) 10
3) 3
4) 6
Q. If a five-digit number 247xy is divisible by 3, 7, and 11, then what is the value of (2y - 8x)?
1) 11
2) 17
3) 6
4) 9
Q. A shopkeeper sold two articles for ₹ 10,591 each. On one he gained 19% and on the other, he lost 11%. What was his overall gain or loss percent (correct to one decimal place)?
1) Profit 1.8%
2) Profit 5%
3) Loss 10%
4) Loss 2.7%
Q. A 240 m long train overtakes a man walking at 6 km/h, in the same direction, in 9 seconds. How much time (in seconds) will it take to pass a 372 m long tunnel at the same speed?
1) 20
2) 21.6
3) 18
4) 20.4
Q. In △ABC, D and E are the points on sides AB and AC, respectively such that ∠ADE = ∠B. If AD = 7 cm, BD = 5 cm and BC = 9 cm, then DE (in cm) is equal to -
1) 10
2) 5.25
3) 6.75
4) 7
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