Pre Uni College Digital
SELECTIVE HIGH SCHOOL TRIAL TEST
School Holiday Day 8
Name:___________________________
Date:___________________________
Mathematical Reasoning
INSTRUCTIONS
1 You have 40 minutes to complete the test. It contains 35 questions.
2 With each question there are four possible answers A, B, C or D. For each question you are to choose the ONE answer you think is best. To show your answer, fill the oval for one letter (A, B, C or D).
3 If you decide to change an answer, rub it out completely and mark your new answer clearly.
4 If you want to work anything out you may write on the question booklet.
5 If you need the help of the supervisor during the test, raise your hand.
DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD
Q1. Samuel bought a car from one of his close friends. The care was 9.5% costlier than his previous care which was sold to Same at a profit of 10%. The previous care which Samuel bought from a collector was limited additional care that he bought by paying 20% extra than the care original price which was 60,000$. Find the profit which Samuel got by selling his care to Same and Find the Price of care that Samuel bought. (Profit and loss)
a)Profit= 7,800$ and Price of care=89,724$
b)Profit= 6,200$ and Price of care=86,724$
c)Profit= 7,200$ and Price of care=86,724$
d)Profit= 7,200$ and Price of care=86,734$
Q2. Find the volume of the rectangular box whose length (l)=ab, breadth (b)=���� 2 ���� , ����������������
. (Volume)
Q3. Given equation:
Find values of x and y which satisfy this equation. (Algebraic equation)
a)x=4, y=1
b)x=1, y=2
c)x=3, y=2
d)x=1, y=1
Q4. Express 243 9 ∗ 243 (Number System)
a) 1 (32 )8
b) 1 (35 )8
c) 1 (36 )8
d) 1 (32 )5
Q5. If ‘x’ is subtracted from Twice the rational number.5 4 to obtain the value of.3 5, then find the value of x. (Number system)
a) 31 10
b) 20 5
c) . 10 5
d) None of the above.
Q6) Which answer is the figure is the exact mirror image of the given figure When the mirror is held from the left at AB? (Mirror Image)
Q7) A child born at 9th June of 2003 and the day was Friday, his parents want to know that what will be the day on his birthday in the year 2006? (Date and time)
a)Sunday
b)Tuesday
c)Monday
d)Friday
Q8) There are 136 guavas, 170 mangoes and 255 bananas. These are to be arranged in basket containing the same number of fruits. Find the greatest number of fruits possible in each basket. How many total numbers of baskets are formed from the fruits? (H.C.F)
a)15 Fruits in each basket and Baskets formed 35
b)136 Fruits in basket and Baskets formed 4
c)17 Fruits in each basket and Baskets formed 33
d)17 Fruits in each basket and Baskets formed
Q9. In search of food Cat runs 20 m towards East and turns to right, runs 10 m, and again turns to right, runs 9 m, and again turns to left, runs 5 m and then turns to left, runs 12 m and finally, turns to left and runs 6 m and get food to eat. Which direction is the cat facing now? (Direction)
a)East
b)West
c)North
d)South
Q10)
Find the number of cubes given in the figure. (Cube)
a)30
b)60
c)40
d)90
Q11) A man is driving a car from a hotel to his house after every one hour he is more nearer to his house, pattern below shows the distance decreasing in a fixed pattern, what will be the next number come in replace of? in the pattern below. (Pattern)
36, 34, 30, 28, 24,? What number should come next?
a)22
b)20
c)18
d)16
Q12. Find the number of triangles given in the figure? (Puzzle)
a)40
b)30
c)20
d)None of the above
Q13) A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series. (Series)
Q14. A rectangular swimming pool for the children’s whose length is 10m more than its breadth. If the perimeter of pool is 64 m, then what is the length of the rectangular swimming pool? (Area)
a)20 m
b)24 m
c)28 m
d)21 m
Q15. In 5 hours, Rio can walk 4 miles more than what Shero can in 8 hours. In 7-hour shero can walk 2 miles more than Rio can walk in 3 hours. what is Rio's speed? (Distance and speed)
a)4 miles/h
b)5 miles/h
c)6 miles/h
d)7 miles/h
Q16. The following line graph shows the yearly sales figures for a manufacturing company.
(a)What were the sales in (i) 2008 (ii) 2010?
(b)What were the sales in (i) 2007 (ii) 2009?
(c)Compute the difference between sales in 2006 and 2008.
(d)In which year was there the greatest difference between the sales as compared to its previous year? (Graph)
a) 2008,2010 sales are 8 and 13, sales in 2007 and 2009 is Rs 9 crores, difference of sales in 2008 and 2006=Rs 2 crores, Year 2010 there was a greatest difference compared to its previous year which is Rs 4 crores.
b)2008,2010 sales are 8 and 13, sales in 2007 and 2009 is Rs 9 crores, difference of sales in 2008 and 2006=Rs 6 crores, Year 2011 there was a greatest difference compared to its previous year which is Rs 4 crores.
c) 2008,2010 sales are 7 and 13, sales in 2007 and 2009 is Rs 8 crores, difference of sales in 2008 and 2006=Rs 3 crores, Year 2009 there was a greatest difference compared to its previous year which is Rs 4 crores.
d)None of the above.
Q17. Find the angle of x, y and z in the given below. (angles)
a) x = 75ᵒ, y = 110ᵒ, z = 135ᵒ
b) x = 70ᵒ, y = 120ᵒ, z = 135ᵒ
c) x = 75ᵒ, y = 120ᵒ, z = 135ᵒ
d) x = 75ᵒ, y = 120ᵒ, z = 125ᵒ
Q18) Kevin threw a party at home. He bought chips worth of 21 $, burger for 33 $ and cold drink for 26 $. He also gives some return gifts of 77 $ to his friends and spend some 69 $ on hall booking. He has 187 $ in his savings, how much more money he had taken from his parents for his party. (Money)
a) 13 $
b)39 $
c) 30 $
d)226 $
Q19) Michael is the psychology teacher at school. He used creative techniques to teach students. The students asked how many holidays are going to be in the next six months. He replied XII less than L. Students started brainstorming. Meghan stood up and stated the correct answer. What was her answer? (Roman numeral)
a) XXXVXII
b) XXXIICI
c) XXXVII
d) XXXVIII
Q20) The following pie chart shows the expenditure of Salmon in a Year. His annual income of Afzal is 5 lakhs. (Pie chart)
● Find the amount he spent on food.
● What is the amount he spends for personal utilities and Transport?
a)The amount he spent on food is Rs 150000 and the amount he spends for personal utilities and Transport is Rs 150000
b)The amount he spent on food is Rs 150000 and the amount he spends for personal utilities and Transport is Rs 140000
c)The amount he spent on food is Rs 13000 and the amount he spends for personal utilities and Transport is Rs 19000
d)None of the above
Q21) Solve this question: (BODMAS)
[600 + {12(30.5 + 19.5)}] ÷ 20 = ?
a) 60
b)100
c) 1000
d)600
Q22. Find out how many Faces and edges does a triangle prism has then add both values and subtract their addition by 4.7 and multiply it with 3. (Shape)
a)6.3
b)11
c) 9
d)18.9
Q23) A teacher asked a question from the students to find out a number that divisible by both 2 and 5 and find what number will come on its one’s place. (Divisibility)
a)One’s place value=5
b)One’s place value=0
c)One’s place value=6
d)One’s place value=1
Q24. Diagram of the adjacent picture frame of a painting in which there are two squares. Outer square has dimensions 28 cm×24 cm and inner square has dimensions 20 cm ×16 cm. Find the area of the shaded part of the frame if the width of each section is the same. (Area)
a) 96�������� 2
b) 94�������� 2
c) 95�������� 2
d)None of the above.
Q25. An ATM machine having a cash up to $ 400,00. The notes which are in this machine are in the ratio of 2:4:5. The machine is containing the notes of denomination of $ 100, $50, and $20. Find the number of notes of each denomination that ATM contains? (Ratio)
a) Number of $ 100 notes are 200, Number of $ 50 notes are 360 and Number of $ 20 notes are 400.
b) Number of $ 100 notes are 160, Number of $ 50 notes are 400 and Number of $ 20 notes are 200.
c) Number of $ 100 notes are 320, Number of $ 50 notes are 160 and Number of $ 20 notes are 320.
d) Number of $ 100 notes are 160, Number of $ 50 notes are 320 and Number of $ 20 notes are 400.
Q26. Two coins are tossed by a child 500 times, and he get outcomes: (probability)
Two heads: 90 times
One head: 281 times
No head: 130 times
Find the probability of each event to occur Let the event be P (E1), P (E2) and P (E3)
a)P(E1) = 0.21, P(E2) = 0.55 and P (E3) = 0.24
b)P(E1) = 0.18, P(E2) = 0.56 and P (E3) = 0.26
c)P(E1) = 0.21, P(E2) = 0.45 and P (E3) = 0.24
d)None of the above.
Q27. A teacher gave a number 20 to a student that is the average of 7 consecutive numbers then she gives the homework to find out those 7 consecutive numbers and what is the largest numbers. (Average)
a)17
b)24
c)23
d)26
Q28) A card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability that the card drawn is: - (Probability) (i) a card of spades or an ace, (ii) a black king, (iii) neither a jack nor a king, (iv) either a king or a queen.
a) Probability of (i) is 4 13 , Probability of (ii) 1 26 ,Probability of (iii) 11 13 and Probability of (iv) 2 13 b) Probability of (i) is 6 13 , Probability of (ii) 1 26 ,Probability of (iii) 11 13 and Probability of (iv) 2 13
c) Probability of (i) is 5 13 , Probability of (ii) 6 26 ,Probability of (iii) 11 13 and Probability of (iv) 2 13
d) Probability of (i) is 4 13 , Probability of (ii) 1 26 ,Probability of (iii) 12 13 and Probability of (iv) 2 13
Q29. If × stands for +, < stands for -, > stands for ×, + stands for ÷, - stands for =, ÷ stands for >, and = stands for <, then which of the given equation is correct? (puzzle)
a) 8 < 4 × 3 – 3 × 2 × 1
b)8 > 4 < 3 – 3 > 2 < 1
c) 8 + 4 = 3 ÷ 3 < 2 < 1
d) 8 + 4 × 3 = 3 > 2 × 1
Q30. Tony has an appointment on Monday so, he set an alarm on his clock for Monday 11 am. He set his clock correctly on Saturday 11 pm. He was unaware that the clock gains 20 minute in every 24 hours. When his alarm went off what was the actual time? (Clock)
a) 28 minutes before 10 am
b)31 minutes past 11 am
c) 30 minutes past 10 am
d)30 minutes past 11 am
Q31. In an election between two political party, one political party got 55% of the total valid votes, 20% of the votes were invalid from the total votes. If the total number of votes was 7500, the number of valid votes that the second political party got, was: (Percentage)
a) 2500
b)2700
c) 2900
d)3100
Q32) In a competition Franklin reads 1/5th part of a book in an hour and he reads the book for time 2 1 3 ℎ�������� in the competition. What part of the book is left to be read by him in the competition. (Fraction)
a) 8 15
b) 9 15
c) 7 15
d) None of the above
Q33) Michael joined a gym in which he reduces 4.2kg weight in first month, 3.8kg in second month, 7.6kg in third month and 3.4kg weight in fourth month. He wants to know what the average weight loss by him in gym. (Weight)
a)4kg
b)4.35kg
c)4.75kg
d)3.35kg
Q34)A box contains different types of vegetables in it. There are 12 carrots, 15 radishes, 1 pumpkin and 5 beetroots in it. The weight of 12 carrots is 240gm, 15 radishes is 300gm, 1 pumpkin is 5kg and 5 beetroot is 50gm. Calculate the weight of a box which contains 2 beetroot, half pumpkin and 25 radishes. (Weight)
a) 3kg
b) 4.3kg
c) 3.24kg
d) None of these
Q35. Study the following figure and answer the question given below on behalf of figure representing. (Venn diagram)
How many backward uneducated people that are not employed?
a) 22
b)17
c) 14
d)5