1. A completes a work in 12 days whereas B completes the same work in 24 days. If both A and B work together, the work will be completed in ______. (a) 6 days         (b) 8 days (c) 10 days       (d) 12 days 2. If 4 men can colour 48m cloth in 2 days, 6 …

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1. When 15 is subtracted from 7 times the number, the result is 10 more than twice of the number. Find the number: (a) 4        (b) 15 (c) 7.5      (d) 5 2. Sum of a rational number and its reciprocal is 13/6. Find the number: (a) 2         (b) 3/2 (c) 4/2    …

1. In how many different ways, 4 boys and 2 girls can sit on a bench? (a) 620         (b) 640 (c) 720       (d) None of these 2. A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men, 3 women and 1 child be selected from the given …

1. If TAP is coded as SZO, then how is FREEZE coded? (a) ATSSTS               (b) ESDDYD (c) EQDDYD         (d) EQDDZD 2. In a certain code, SUKKUR is written as TTLJVQ, how is TRAINING written in that code? (a) UQBHOHOF        (b) UQBHOIOF (c) UQBHOHOI            …

1. Pointing to a photograph, Ali said, “She is the daughter of my grandfather’s only son.” Ali is the ______ of the girl in the photograph. (a) Father            (b) Cousin (c) Brother       (d) Uncle 2. Looking at a portrait of a man, Mazhar said, “His mother is the wife of my father’s son. …

Question 1-3: From exactly seven objects – R, S, T, U, X, Y, and Z – a group of exactly four objects must be selected in accordance with the following conditions: If R is selected, T must also be selected. If S is selected, U must also be selected. If X and Y are both selected together, T cannot be …

Angle An angle is a combination of “two rays” (half lines) with a common end point. a. Common end point = vertex b. Rays as the sides = legs or arms of the angle. Acute angle Less than 90o a. An angle whose measure is less than 90o is called an acute angle. b. Acute angles are the smallest being …

1. If 12 years are added to 2/3 age of Ayesha, she will be three years older than today. Her present age is ______. (a) 24        (b) 27 (c) 30        (d) 33 2. Ali drove south for 6km, turned left and drove for 2km, then turned right and drove for 4km. He again turned right and drove 2km. …

RATIO: The number of times one quantity contains another quantity of the same kind is called the ratio of the two quantities. (a:b) PROPORTION: The equality of ratios is called proportions. Example: Consider the two ratios     1st ratio        2nd ratio 5:15           7:21 Direct Proportion: If the given two quantities are so related to each other that …