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TSICET EXAM| Mathematical Ability| Arithmetical Ability| Numbers and Divisibility

1)If a positive integer n is divided by 5, the remainder is 3. Which of the numbers below yields a remainder of 0 when it is divided by 5? A) n + 3     B) n + 2     C) n - 1     D) n - 2     E) n + 1

 2)If an integer n is divisible by 3, 5 and 12, what is the next larger integer divisible by all these numbers? A) n + 3     B) n + 5     C) n + 12     D) n + 60     E) n + 15

 3)What is the smallest integer that is multiple of 5, 7 and 20? A) 70     B) 35     C) 200     D) 280     E) 140

 4)When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8? A) 0     B) 1     C) 2     D) 3     E) 4

 5)If n is an integer, when (2n + 2)2 is divided by 4 the remainder is A) 0     B) 1     C) 2     D) 3     E) 4

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TSICET EXAM| Mathematical Ability| Arithmetic Ability| Surds

 1.(17)3.5 x (17)? = 178

A.2.29

B.2.75

C.4.25

D.4.5

2.  Given that 100.48 = x,  100.70 = y and xz = y2, then the value  of z is close to:  

A.1.45

B.1.88

C.2.9

D.3.7

3.   If 5a = 3125, then the value of 5(a -  3) is:  

A.25

B.125

C.625

D.1625

4.   If 3(x - y) = 27 and 3(x + y) =  243, then x is equal to:  

A.0

B.2

C.4

D.6

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TSICET EXAM| Ratio and proportion

Q:A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4, amounting to Rs. 206. Find the number of coins of each type respectively.

A) 360, 160, 200

B) 160, 360, 200

C) 200, 360,160

D) 200,160,300

 Q:Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

A) 2:5

B) 3:5

C) 4:5

D) 5:4

 Q:Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40:57. What is Sumit's salary?

A) 38000

B) 46800

C) 36700

D) 50000

 Q:A sum of Rs.312 was divided among 100 boys and girls in such a way that the boy gets Rs.3.60 and each girl Rs. 2.40 the number of girls is

A) 35

B) 40

C) 45

D) 50

 Q:The compounded ratio of (2 : 3), (6: 11) and (11 :2) is

A) 1:2

B) 2:1

C) 11:24

D) 36:121

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TSICET EXAM| Date,time & arrangement problems

Q: A person crosses a 600 m long street in 5 minutes, What is his speed in km per hour?

A) 3.6

B) 7.2

C) 8.4

D) 10

 Q: The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?

A) 456 kms

B) 482 kms

C) 552 kms

D) 556 kms

 Q:A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?

A) 100 m

B) 150 m

C) 190 m

D) 200 m

 Q:A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is

A) 35.55 km/hr

B) 36 km/hr

C) 71.11 km/hr

D) 71 km/hr

 Q: Two trains A and B start simultaneously in the opposite direction from two points P and Q and arrive at their destinations 16 and 9 hours respectively after their meeting each other. At what speed does the second train B travel if the first train travels at 120 km/h

A) 90 km/h

B) 160 km/h

C) 67.5 km/h

D) None of these

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TSICET EXAM| coding and decoding

Q1: If in a certain language, MADRAS is coded as NBESBT, how is BOMBAY coded in that code? (S.S.C. 1994)

(a) CPNCBX             (b) CPNCBZ               (c) CPOCBZ           (d) CQOCBZ               (e) None of these

Q2: In a certain code, TRIPPLE is written as SQHOOKD. How is DISPOSE written in that code? (Central Excise, 1995)

(a) CHRONRD             (b) DSOESPI          (c) ESJTPTF         (d) ESOPSID              (e) None of these

Q3: If in a code language. COULD is written as BNTKC and MARGIN is written as LZQFHM, how will MOULDING be written in that code?     (Assistant Grade, 1997)

(a) CHMFINTK          (b) LNKTCHMF           (c) LNTKCHMF              (d) NITKHCMF              (e) None of these

Q4: In a certain code, MONKEY is written as XDJMNL. How is TIGER written in that code? (Assistant Grade, 1998)

(a) QDFHS                 (b) SDFHS             (c) SHFDQ               (d) UJHFS                (e) None of these

Q5: If FRAGRANCE is written as SBHSBODFG, how can IMPOSING be written?

(a) NQPTJHOJ             (b) NQPTJOHI            (c) NQTPJOHJ               (d) NQPTJOHJ              (e) None of these

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TSICETEXAM| sequences and series

Question 1: Find the following sum> 1/(22 –1) +1/(42 –1) + 1/(62 –1) + …. +1/(202 –1) (a) 9/10 (b) 10/11 (c) 19/21 (d) 10/21

  Question 2: Two men X and Y started working for a certain company at similar jobs on January 1, 1950. X asked for an initial salary of Rs. 300 with an annual increment of Rs. 30. Y asked for an initial salary of Rs. 200 with a rise of Rs. 15 every six months. Assume that the arrangements remained unaltered till December 31, 1959. Salary is paid on the last day of the month. What is the total amount paid to them as salary during the period? (a) Rs. 93,300 (b) Rs. 93,200 (c) Rs. 93,100 (d) None of these

  Question 3: Let S denote the infinite sum 2 + 5x + 9x2 + 14x3 + 20x4 + …, where   | x | < 1, then S equals (a) {(2-x)/(1-x)3} (b) {(2-x)/(1+x)3} (c) {(2+x)/(1-x)3} (d) {(2+x)/(1+x)3}

  Question 4: The infinite sum 1 + (4/7) + (9/72) + (16/73) + (25/74) + …. equals (a) 27/14 (b) 21/13 (c) 49/27 (d) 256/147

  Question 5: Consider the set S = (1, 2, 3, …, 1000}. How many arithmetic progressions can be formed from the elements of S that start with 1 and end with 1000 and have at least 3 elements? (a) 3 (b) 4 (c) 6 (d) 7 (e) 8

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TSICETEXAM| coding-decoding

Q1: If in a certain language, MADRAS is coded as NBESBT, how is BOMBAY coded in that code? (S.S.C. 1994)

(a) CPNCBX             (b) CPNCBZ               (c) CPOCBZ           (d) CQOCBZ               (e) None of these

Q2: In a certain code, TRIPPLE is written as SQHOOKD. How is DISPOSE written in that code? (Central Excise, 1995)

(a) CHRONRD             (b) DSOESPI          (c) ESJTPTF         (d) ESOPSID              (e) None of these

Q3: If in a code language. COULD is written as BNTKC and MARGIN is written as LZQFHM, how will MOULDING be written in that code?     (Assistant Grade, 1997)

(a) CHMFINTK          (b) LNKTCHMF           (c) LNTKCHMF              (d) NITKHCMF              (e) None of these

Q4: In a certain code, MONKEY is written as XDJMNL. How is TIGER written in that code? (Assistant Grade, 1998)

(a) QDFHS                 (b) SDFHS             (c) SHFDQ               (d) UJHFS                (e) None of these

Q5: If FRAGRANCE is written as SBHSBODFG, how can IMPOSING be written?

(a) NQPTJHOJ             (b) NQPTJOHI            (c) NQTPJOHJ               (d) NQPTJOHJ              (e) None of these

SkillLens

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Verbal ability is a part of written test in all the competitive examinations. Learn English and verbal ability with skilllens. We provide Video Based Learning | Self Pace Study | Continuous Assessments. Subscribe now.

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TSICET EXAM

1.Question: A man on tour travels first 170 km at 74 km/hr and the next 170 km at 90 km/hr. The average speed for the first 330 km of the tour is:

1.      35.55 km/hr

2.      36 km/hr

3.      71 km/hr

4.      None of the above

 2.Question: The ratio between the speeds of the two cars is 7: 8. If the second car runs 400 km in 4 hours, then the speed of the first car is:

1.      70 km/hr

2.      84 km/hr

3.      75 km/hr

4.      87.5 km/hr

 3.Question: A tap can fill a tank in 5 hours. After half the tank is filled, two more similar taps are opened. What is the total time taken to fill the tank completely?

1.      1 hr 30 min

2.      2 hr 30 min

3.      2 hr

4.      3 hr

 4.Question: A total of 352 coins of 25 paise and 20 paise make a sum of Rs. 85. The number of 25-paise coins is

1.      140

2.      124

3.      190

4.      156

 5.Question: If – means ÷, + means ×, × means – & ÷ means +, then, 4 ÷ 36 – 6 × 4 + 2 =?

1.      8

2.      9

3.      3

4.      None of the above

  SkillLens

Skill Lens is developed as an integrated technology enabled platform to make Learning (Shiksha) and Assessment (Sameeksha) happen simultaneously, finally get noticed by companies / recruiter (Pratibha).

Problem Solving Practice Tests

Verbal ability is a part of written test in all the competitive examinations. Learn English and verbal ability with skilllens. We provide Video Based Learning | Self Pace Study | Continuous Assessments. Subscribe now.

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