HEC HAT - Engineering (MS) MCQs 2026

Oven cleaner plus household bleach emits chlorine gas; bathtub cleanser plus bleach also emits chlorine gas; ordinary soap plus bleach emits no gas. An unidentified agent added to bleach emitted no chlorine gas. It can be concluded that the agent

1. Acontained soap and either oven cleaner or bathtub cleanser✓
2. Bcontained soap and neither oven cleaner nor bathtub cleanser✓
3. Cwas neither oven cleaner nor bathtub cleanser✓
4. Dwas ordinary soap✓

Imran is not going to Lahore and Shahid is not going to Islamabad. Imran and Saad go to different cities. Feroz alone goes to Karachi. If all four go to different cities, which city is Saad going to

1. AIslamabad✓
2. BKarachi✓
3. CLahore✓
4. DCannot be determined✓

Seven offices numbered 1 to 7 are each painted one colour: two white, two blue, two green, one yellow. The two greens are adjacent; the two blues are not adjacent; yellow is not next to white; office 3 is white. If office 2 is painted green, which office must also be green

1. A3✓
2. B2✓
3. C1✓
4. D4✓

Seven offices numbered 1 to 7 are each painted one colour: two white, two blue, two green, one yellow. The two greens are adjacent; the two blues are not adjacent; yellow is not next to white; office 3 is white. If office 5 is painted white, which of the following could be true

1. AOffice 4 is painted yellow✓
2. BOffice 4 is painted green✓
3. COffice 2 is painted yellow✓
4. DOffice 6 is painted blue✓

The sum of the 4th and 8th terms of an A.P. is 24 and the sum of its 6th and 10th terms is 44. The first term is

1. A-9✓
2. B-11✓
3. C-13✓
4. D-15✓

5/3 + 7/6 + 9/3 + 7/2 =

1. A112/3✓
2. B28/3✓
3. C14/6✓
4. D28/6✓

Find x and y where 3x + y = 20 and x/3 + 10 = y.

1. Ax = -3, y = -11✓
2. Bx = 3, y = 11✓
3. Cx = 3, y = 12✓
4. Dx = 11, y = 3✓

The sum of two numbers is 184, and one-third of one number exceeds one-seventh of the other by 8. The smaller number is

1. A62✓
2. B72✓
3. C82✓
4. D112✓

Two isosceles triangles have equal vertical angles and their areas are in the ratio 9 : 16. The ratio of their corresponding altitudes is

1. A2 : 3✓
2. B3 : 4✓
3. C9 : 16✓
4. D16 : 9✓

A man covers a distance in 4 hours. Had he moved 2 km/h slower, he would take 8 hours for the same distance. The distance is

1. A4 km✓
2. B6 km✓
3. C12 km✓
4. D16 km✓

When the clock shows 25 minutes past 2, the angle between the hands is

1. A77.5 degrees✓
2. B88 degrees✓
3. C89.5 degrees✓
4. D90 degrees✓

If (5a + 3b)/(2a - 3b) = 23/5, then a : b is

1. A1 : 2✓
2. B1 : 4✓
3. C3 : 1✓
4. D4 : 1✓

The average of 5 numbers is 12.6. If four of them are 9, 12, 15 and 20, the fifth number is

1. A7✓
2. B9✓
3. C10✓
4. D11✓

Seven supervisors F, G, H, J, K, M and N communicate. Along the one-way message circuit messages travel F to G, G to J, J to M, M to N, and N to F. By two-way radio messages pass either way between G and H, between H and N, and between J and K; other messages are relayed through supervisor intermediaries. Using the fewest intermediaries, exactly three intermediaries are required from

1. AF to N✓
2. BJ to H✓
3. CK to G✓
4. DN to K✓

Seven supervisors F, G, H, J, K, M and N communicate. Along the one-way message circuit messages travel F to G, G to J, J to M, M to N, and N to F. By two-way radio messages pass either way between G and H, between H and N, and between J and K; other messages are relayed through supervisor intermediaries. To reach more than one supervisor, a message must use both circuit and radio if it originates from

1. AF✓
2. BK✓
3. CM✓
4. DN✓

Seven supervisors F, G, H, J, K, M and N communicate. Along the one-way message circuit messages travel F to G, G to J, J to M, M to N, and N to F. By two-way radio messages pass either way between G and H, between H and N, and between J and K; other messages are relayed through supervisor intermediaries. A message from G to F must be sent through

1. AH✓
2. BK✓
3. CM✓
4. DN✓

The units (last) digit of 333 raised to the power 444 is

1. A1✓
2. B3✓
3. C7✓
4. D9✓

The scientist declared that he found an EXOTIC flower which ____________.

1. Ahad a sweet smell✓
2. Bhe did not see or read about earlier✓
3. Cwas gigantic in size✓
4. Dwas poisonous✓

Choose the word MOST NEARLY SIMILAR: If you BROOD over something you _______ it.

1. Adesire✓
2. Bfeel afraid of✓
3. Cprepare for✓
4. Dthink about✓

Choose the word MOST NEARLY OPPOSITE: The rules of this organization are too STRINGENT and not ______.

1. Aflexible✓
2. Bimpractical✓
3. Crealistic✓
4. Dstrict✓

Choose the best standard English form (select A if the original is best): "When the cat's away the mice will play."

1. AWhen the cat's away the mice will play✓
2. BAs the cat's away the mice will play✓
3. CIf the cat's away the mice will play✓
4. DWhenever the cat's away the mice will play✓

CROW : CAW ::

1. Aape : monkey✓
2. Bcat : kitten✓
3. Cdog : kennel✓
4. Dmonkey : chatter✓

BEE : HONEY ::

1. Acow : milk✓
2. Bfrog : leap✓
3. Crabbit : hare✓
4. Dspider : web✓

You should always lock the door when ______ your room.

1. Aleave✓
2. Bleaving✓
3. Cleft✓
4. Dto leave✓

You mean you have been waiting __________ an hour.

1. Abefore✓
2. Bfor✓
3. Cjust✓
4. Dsince✓

We expect a VERACIOUS account from you. So please be ______.

1. Acareful✓
2. Bconfident✓
3. Chonest✓
4. Dprecise✓

Read: "The early years of Jamestown proved to be a nightmare for all concerned except the buzzards. Once ashore, the settlers died by the dozens from disease, malnutrition and starvation." In this context the word "buzzards" refers to

1. Abirds of prey✓
2. Binvestors of the Virginia Company✓
3. Clocal people✓
4. Dthe king and his courtiers✓

Seven supervisors F, G, H, J, K, M and N communicate. Along the one-way message circuit messages travel F to G, G to J, J to M, M to N, and N to F. By two-way radio messages pass either way between G and H, between H and N, and between J and K; other messages are relayed through supervisor intermediaries. A message can be sent using exactly one intermediary from

1. AF to M✓
2. BH to F✓
3. CK to H✓
4. DN to K✓

Seven supervisors F, G, H, J, K, M and N communicate. Along the one-way message circuit messages travel F to G, G to J, J to M, M to N, and N to F. By two-way radio messages pass either way between G and H, between H and N, and between J and K; other messages are relayed through supervisor intermediaries. Sending a message requires using BOTH the circuit and the radio from

1. AF to M✓
2. BJ to H✓
3. CK to J✓
4. DN to G✓

Seven supervisors F, G, H, J, K, M and N communicate. Along the one-way message circuit messages travel F to G, G to J, J to M, M to N, and N to F. By two-way radio messages pass either way between G and H, between H and N, and between J and K; other messages are relayed through supervisor intermediaries. A message requires a minimum of two intermediaries from

1. AF to K✓
2. BG to N✓
3. CH to J✓
4. DM to H✓