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The area of an isosceles triangle is 12 sq. cm. If one of the equal sides is 5 cm long, mark all the options which can give the length of the base.
a. 4 cm b. 6 cm c. 8 cm d. 9 cm

. A trader forms a mixture of cement and sand weighing 40 kgs. In the mixture, cement and sand are in the ratio of 4 : 1 in weight terms. Later , when he adds more sand to the mixture, the new ratio becomes 4 : 3. Given this, mark allthe correct statements.

a. The second mixture formed is one and a half times heavier than the original mixture.

b. In order to arrive at the second mixture, the trader had to add a quantity of sand weighing 16 kg.

c. Had the original mixture been in the ratio of 8 : 3, the weight of the sand in the original mixturewould have been 12 kg.

d. If the trader sells 7 kg of the second mixture formed by him, and adds 1 1 kg of a new mixture ofcement and sand in the ratio 7 : 4 to the residual, then the new ratio of cement to sand will become 7 : 5.

Laxman and Bharat decide to go from Agra to Delhi for watching a cricket match and board two different trains for that purpose. While Laxman takes the first train that leaves for Delhi, Bharat decides to wait for some time and take a faster train. On the way , Laxman sitting by the window seat noticed that the train boarded by Bharat crossed him in 12 seconds. Now the faster train can travel 180 km in three hours, while the slower train takes twice as much time to do it. Given this, mark allthe correct options.

a. If the faster train has taken 30 seconds to cross the entire length of the slower train, the differ ence between the lengths of the two trains is 50 m.

b. If the faster train had been running twice as much faster , it would have taken 10 seconds toovertake the slower train.

c. Had the faster train taken 24 seconds to cross the entire length of the slower train, the length of the slower train would have been 100 m.

d. If the slower train had been running at one and a half times of its current speed, the faster train would have taken 24 seconds to overtake Laxman.


A contractor takes up an assignment that 20 men can complete in 10 days. The same assignmentcould be finished by 15 women in 20 days. The contractor decides to employ 10 men and 10 women for the project. Given this, mark allthe correct options.

a. If the wage rate for men and women are Rs. 50 and Rs. 45 respectively , the total wage bill for theproject will be Rs. 1 1,400.

b. If the wage rate for men and women are Rs. 45 and Rs. 40 respectively , the total wage bill for theproject will be Rs. 10,200.

c. If the wage rate for men and women are equal at Rs. 40, the total wage bill for the project will beRs. 9,100.

d. If the contractor decides to employ 20 men and 30 women for the project and the wage rate for Women and women are Rs. 40 and Rs. 35 respectively , the total wage bill for the project will be Rs.


Mark all the correct statements

. a. The only Veda to have been rendered musically is the Same Veda.
b. Port Blair is situated in North Andaman.
c. The outermost layer of the Sun is called photosphere.
d. Nhava Sheva, a major Indian port, is in the state of Gujarat.

a. The full form of AIDS is Abnormal Immuno Deficiency Syndrome.
b. Petrology refers to the study of the economy in relation to petroleum products.
c. A diverging lens can be used as magnifying glass.
d. Laparoscopy is concerned with gynecological operations.

a. The parliamentary term ‘crossing the floor’ may be best described as leaving a house by aminister in between a session to attend the other house.
b. It is necessary to be a member of either house of parliament to be appointed as governor of astate.
c. A cognizable offence is one where arrests can be made without warrants.
d. The Chief Minister of a State in India is not eligible to vote in the Presidential elections if he is amember of the Upper House of the State Legislature.

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