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Exam All India Maths Science [AIMS] Talent Exam
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Classes I to X
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AIMS Talent Exam Model Question Paper

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AIMS Talent Exam Class X Model Questions

1. If L stands for +, M stands for -,N stands for ×, P stands for ÷ then 14N10L42P2M8=
(A) 248
(B) 153
(C) 352
(D) 218

2. If the position of the third and the tenth letters of the word DOCUMENTATION are interchanged, and likewise the position of the fourth and seventh letters, the second and the sixth letters is interchanged, which of the following will be eleventh from the right end?
(A) C
(B) O
(C) U
(D) T

3. A person climbs up a pole of 88 m high. In every minute, he climbs 12 m but slips down 8 m. How much time he will take to reach at the top?
(A) 20 minutes
(B) 22 minutes
(C) 19 minutes
(D) none of these

4. __ a b a a a b a __ a __a
(A) a b a
(B) a a b
(C) a b b
(D) none of these

5. What was the day of the week on 15 August, 1947?
(A) Tuesday
(B) Wednesday
(C) Thursday
(D) Friday

6. If S = = 78, find the value of n.
(A) 32
(B) 12
(C) 13
(D) 6

7. A vertical stick 6 cm long casts a shadow 4 cm long on the ground. At the same time, a tower casts the shadow 20 m long on the ground. Find the height of the tower.
(A) 15 m
(B) 20 m
(C) 25 m
(D) 30 m

8. Which term of the sequence 4, 9, 14, 19, ….. is 124?
(A) 35th
(B) 20th
(C) 25th
(D) none of these

9. A point P is 13 cm from the centre of a circle. The length of the tangent drawn from P to the circle is 12 cm. Find the radius of the circle.
(A) 11 cm
(B) 15 cm
(C) 5 cm
(D) none of these

10. In ∆ ABC, AD is the bisector of ∠A, meeting side BC at D. If AD = 5.6 cm; BC = 6 cm; BD = 3.2 cm, find AC.
(A) 4.5 cm
(B) 4.9 cm
(C) 5.4 cm
(D) none of these

11. How many times will the wheel of a bus rotate in a distance of 88 km if diameter of the wheel is 56 cm. ( π = 22/7)
(A) 25,000
(B) 50,000
(C) 2,500
(D) none of these

12. Find the sum of 30 terms of AP 1, 4, 7, 10, . . . .
(A) 1020
(B) 1805
(C) 1335
(D) none of these

13. A certain mass of water at 700C is poured into an equal mass of water at 280C. What will be the resulting temperature of the mixture?
(A) 190C
(B) 980C
(C) 320C
(D) 490C

14. Two bulbs have power 60 W and 40 W respectively. Which bulb has greater resistance?
(A) 40 W
(B) 60 W
(C) Both have same
(D) None of these

15. An object 2 cm in size is placed 24 cm in front of a concave mirror of focal length 15 cm. Find the size of the image.
(A) 1 cm
(B) 3.5 cm
(C) 2 cm
(D) 3.2 cm

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